diff --git "a/data/dm_maths/full_data_2/11092_11255.jsonl" "b/data/dm_maths/full_data_2/11092_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11092_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the next term in -573, -572, -571, -570?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 15*f**2 - 5*f - 8. Let r be x(7). Solve 0 = -w + r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 8. Let r = 43\/5 - 41\/5. Which is the nearest to r? (a) 1 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -56236598.\nAnswer: 73107577.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**4\/6 + 19*y. Let l(n) = -21*n**2. Determine o(l(j)).\nAnswer: -882*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**7\/168 - c**6\/24 + 5*c**4\/6 - 2*c**3\/3 + 4*c. Let t(u) be the second derivative of j(u). Factor t(z).\nAnswer: -5*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 148*i**2 + 804*i - 45194. What is l(50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.29 in -2, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, f: 10}. What is prob of sequence fuf?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4102\/5*f - 456\/5 - 12258\/5*f**3 + 54\/5*f**4 - 12294\/5*f**2.\nAnswer: 2*(f - 228)*(3*f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 11*b**5\/60 - 13*b**4\/24 - 4*b**2. What is the second derivative of h(d) wrt d?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/2 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113114121.\nAnswer: 3, 41, 311, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81957, -163905, -245843, -327765, -409665?\n\"Answer: w**3 - w**2 - 81952*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(450) - (sqrt(18) - sqrt(108)\/(1*sqrt(6)))) + -5)**2 + 5.\nAnswer: 450*sqrt(2) + 4080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 34 + 21 + 188*n**2 in the form u + h*n**2 + i*n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3)\/r)**13\/(r*r**(-1\/6)*r\/((r*r*r*r\/r**(1\/3))\/r)) assuming r is positive.\nAnswer: r**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 0.2?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 21. Let l(d) = -d + 11. Give 3*c(g) - 5*l(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 37 = -5*u, 4*l - 73 + 20 = 3*u. Let g = 166 + -96. Calculate the highest common divisor of l and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350504 is divided by 1835.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -688 in descending order.\nAnswer: 4, -2, -688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132.57 and 0.2.\nAnswer: -26.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/16)\/(-21)*2*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 1 - 3*f + 0*f)*(0 - 8 - 5)*(35 - 35 - 50*f**4 + (3*f**3 + f**3 - 2*f**3)*(1 - 1 + 4*f)).\nAnswer: -546*f**5 + 546*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 9*w**2 + 73*w - 31. Let q be g(9). Is 24\/4 - q\/(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55 - 4285*p**2 + 73 + 35 - 8 - 9 wrt p?\nAnswer: -8570*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2961)\/188)\/63)\/(3\/(6*46))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4810 + 13788. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + -0.1. Let q = n - -5. Let k be 2\/(-6)*(-63)\/63. Sort 0, q, k in decreasing order.\nAnswer: q, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570 and 31660536.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -51?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 681723 and 945?\nAnswer: 3408615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 36 + 0*l**4 - 35\/3*l**3 + 0*l + 38\/7*l**7 + 0*l**5 + 0*l**6 + 0*l**2. Find the third derivative of w(s) wrt s.\nAnswer: 4560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v + 50. Give n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5\/4 + 1050*i**4 + 5012633*i**3\/4 + 610317219*i**2\/2 + 906719463*i + 602812962 = 0.\nAnswer: -1938, -321, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 s, and 1 p when four letters picked without replacement from {a: 6, s: 6, p: 3}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c + 3*c)*(1 - 2 + 2)*(0*c**3 + 5*c**3 + 3*c**3 + (3*c**2 + 4*c**2 - 6*c**2)*(c - c + c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*p + 2 = 6*p, 2*p = o - 2. Let c(u) = u**2 + 2*u. Give c(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 4 + 2*h**2 + 0*h + 2*h**4 + 2\/5*h**5 + 10\/3*h**3. Factor k(b).\nAnswer: 2*b*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by 7398.\nAnswer: 364\/3699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -622021*k*n**2 + k - 318271*n wrt n?\nAnswer: -1244042*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183387?\nAnswer: 3, 61129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/20 - v**4\/3 - 2*v. What is the third derivative of p(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-624)\/(-52) + (-5094)\/60 + 6 + (-3)\/30.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-6 - (-7 + 4)). Suppose -3*c - 2*x + 18 = m, -18 = c - 4*c + 5*x. What is the first derivative of -4*k**2 + 6 - c + 3 wrt k?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-437844)\/(-107))\/(-66)*3*3\/6.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -49, 36, 2 in ascending order.\nAnswer: -49, -8, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*n**2 + 19*n**3 - 16*n**3 + 217*n - 124*n - 32*n + 662*n + 360 = 0.\nAnswer: -120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 704 - 144. Suppose -5*v - 5*f + t = 0, 0 = -v - 5*f + 64 + 64. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38207.\nAnswer: 13, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f*f**(-1\/8)))*f)\/(f*f*(f\/f**(1\/9))\/f))**(12\/11) assuming f is positive.\nAnswer: f**(-73\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 2}. Give prob of sequence cd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-18 - -4) - (-14 - (-4 + 5))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 1053, 1569, 2085, 2601?\nAnswer: 3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 + 13*o + 51. Let u be d(-6). Let v(f) = -f**2 + 10*f + 2. Let j be v(8). What is the greatest common factor of j and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3629935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/w)**49\/(w**(2\/59)*(w*w**(1\/2))\/w) assuming w is positive.\nAnswer: w**(-46319\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9265*t**3 + 4*t**2 - 861789?\nAnswer: -27795*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (737*y + 252*y + 695*y + (-4*y + 3*y + 3*y)*(-1 + 2 + 1))*(-120*y + 120*y + 3*y**2) to the form i*y**2 + q*y + t*y**3 + g and give t.\nAnswer: 5064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -1.2.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(192) + -3*-5*sqrt(27).\nAnswer: -1 + 53*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 128*u + 6*u**2 - 655 - 128*u + 354*u**4 - 231*u**4 wrt u.\nAnswer: 492*u**3 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 + 4 = 0. Solve -5*l + 2*n - 9 = 6, -2*l = q*n - 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**31*d\/(d\/d**4)*d*d**(-5) assuming d is positive.\nAnswer: d**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**5\/60 + c**4\/6 - 17*c**3\/6 - 18*c. Let h(i) be the second derivative of v(i). Give h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/120 and -31\/555.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 245607582 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 - (25 + 27 + -55) - -51 - -6?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - 11*d + 2. Let k be u(5). Suppose 5*o - r - 75 = -6*r, -5*o + 5*r = -105. Calculate the highest common factor of o and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73273 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 r(y) be the second derivative of 787*y**4\/4 - 168*y**2 - 1718*y. What is the derivative of r(l) wrt l?\nAnswer: 4722*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 - 13*j**2 + 11*j + 2. Let d(q) = -4*q**3 - 13*q**2 + 11*q + 1. Let f(a) = -6*d(a) + 5*p(a). List the prime factors of f(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76513, -306049, -688609, -1224193, -1912801, -2754433?\n\"Answer: -76512*c**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27173 is divided by 697?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from {c: 2, r: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13118369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3477 - -3559. Solve 22*j - 16 = -m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/85618 in -3\/7, 2, -5, -3\/5, -41?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 1\/4, -5, 27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3082\/5253 + 16\/103. Calculate the common denominator of l and -37\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6160, 12317, 18468, 24607, 30728, 36825?\n\"Answer: -x**3 + 3*x**2 + 6155*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6490 and -71\/4694217.\nAnswer: 46942170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + b + 15, -2*x - 3 + 0 = -b. Suppose -4*p = -6*p - 4*h + 2, -4*p + 4*h + 16 = 0. Put p, 4, x in increasing order.\nAnswer: x, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.039 - -0.039. Let f = h - -25. Let y = -2 - -2.5. What is the closest to -1 in y, -2\/7, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j - 150\/7*j**7 + 0*j**2 + 0*j**4 + 50\/3*j**3 + 0*j**6 + 0*j**5 + 3. Find the third derivative of g(p) wrt p.\nAnswer: -18000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 363 and 288651.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -292*m**3 - 7*m**2 - 5*m + 13. Let c(w) = -584*w**3 - 10*w**2 - 9*w + 22. What is -3*c(y) + 5*f(y)?\nAnswer: 292*y**3 - 5*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 - t**4 + 0 + (-4*t**3 + 4*t**3 - 2*t**3)*(t - 4*t + t) + 2*t**4 - 2*t + 2*t.\nAnswer: 5*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 7*n - 3*n)*(2 + 3 - 6)*(0 + 0 + 5).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.37 (b) 5 (c) 2 (d) -3\/10 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 10:39 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9810, 132\/359, 2\/5 in decreasing order.\nAnswer: 2\/5, 132\/359, 1\/9810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101110011010 (base 2) to base 10.\nAnswer: 15258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**2 + 1 - 7*q**2 - 4 - 2.\nAnswer: -19*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43617 divided by 5.\nAnswer: 43617\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -1016?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*o**3 - 8*o - 11*o**3 - 8*o**3 in the form j*o + m + d*o**2 + y*o**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.5 + 7.5. Which is the closest to x? (a) -11 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 + 286. Let o = -174 + x. Let s = o + 119. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-70) - (-4)\/10. Let h = 26 - 12. Let t = -10 + h. Sort t, c, 2 in descending order.\nAnswer: t, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049127355 rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 72156856*s. Let a(p) = 23*p**2. Calculate a(r(l)).\nAnswer: 119752072959508928*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-9) - 2)\/(4\/30). Suppose -5*k - 2*i + 24 = -6*i, 0 = -g*k + 3*i + 28. Suppose k*h + 9 - 41 = 0. Solve 0*j = 4*d - 3*j + h, 2*j + 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 11*g**2 - 3 + 4*g**2 - g + 0*g + 0*g + g**2 + (2 - 1 - 3)*(10*g**2 - 17 + 17).\nAnswer: -26*g**2 - g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*s**3 - 3*s**2 - 17*s**3 - 1 - 22*s**3 + s**2 + 56*s**3 in the form j*s**2 + w*s**3 + t + r*s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2754)\/(-490) - (4020\/(-300) - -15) - 4\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**2. Let x(q) = 7*q + 2*q - 6*q. Give x(h(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.124 + -0.124. Let w = -0.3 + 0.2. Let m = w - 0.1. Which is the second smallest value? (a) -3 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -z + 4*o, -4*z - 4*o = -0*o - 52. Suppose 3*b + 2*d = 4*b + 54, 4*b = -4*d - 168. Let u = 1 - b. Calculate the remainder when u is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t - 9. Let r(i) = -i - 2. Let l(h) = -18*r(h) + 4*y(h). Let v(m) be the second derivative of m**4\/3 + 2*m. Give v(l(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:10 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337322 and 23776.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515 - 50*o - 515.\nAnswer: -50*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**3 - 181*n**2 + 1397*n + 667. What is s(-32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 34*t**2 + 193*t + 135. Calculate v(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + 2*c + 0*c)*(-2 - 2 + 5) + (0*c - 4*c + 6*c)*(-2 + 0 + 0) + 5*c - c - 3*c + 13 - 13 - 4*c)*(-1722*c + 1722*c - c**2).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 7*b + 5. Let v be u(-7). Suppose -v*z + 13 = -197. Suppose -3*h = -h - z. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25bb03 (base 13) to base 7.\nAnswer: 10514126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 divided by -103?\nAnswer: -538\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {s: 1, p: 1, g: 1, c: 2, d: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 1579*u**2 + 77 - 1608*u**2 + 10*u - 8*u in the form v*u + w + o*u**2 and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*-2 - sqrt(1078))*1)\/(sqrt(66)\/sqrt(96)*5).\nAnswer: -84*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*o. Let w(b) = 2*b + b - 4500 - o*b + b. Let k be w(0). What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.85 and 0.26?\nAnswer: 2.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13974 and 3859.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:32 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 16) to base 5\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114.2 + -114. Is 268 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 - 1\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 2*t**3 - 2*t**3)*(9 + 5 - 3)*(-t - t + 0*t) + 2*t**4 + 4 - 4.\nAnswer: 46*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**4\/5 + 2788*f**3\/5 + 694644*f**2\/5 + 72780172*f\/5 + 2725881592\/5 = 0.\nAnswer: -241, -238, -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2232 and 4464.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 482201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42770 and 47047?\nAnswer: 470470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1582 = -2*r - 224. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + 1 + sqrt(17) - (5 + -5 + sqrt(17)))**2*-6 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3933\/(-2943) - 12\/(-9))*(-67)\/3 and 119\/1308.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1125 - -1176. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 613, 768, 923?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3 and 68\/195591.\nAnswer: 195591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 7*h - 50*h = 2*g - 209, -5*g - h + 195 = 0 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -48, -108, -192, -300, -432, -588?\n\"Answer: -12*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*h - 29 = -5*g, 0 = 3*g - 4*h. Suppose 17 = 4*m + 5*o, 0*m - 5*m + 46 = -2*o. Solve 3*f = 5*n + 12, -g*n = -f - n + m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079641 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 154 (b) 6\/11 (c) -6957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3865428 divided by -189.\nAnswer: 20452","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/259 and 43\/407.\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -83909.0686 and -10478.\nAnswer: -94387.0686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 12, 2 in increasing order.\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 11*g - 2. Let d = 163 + -160. Let f be o(d). What is the second biggest value in 7, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -18. Suppose -2*l + q = -0*l. Solve -5*c = -5*r + 5, 4*r - l*c + 8*c - 40 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 0*o + 2 + 3*o - 12*o + 29*o + 453 - 470 + (-3 + o + 3)*(0 + 0 + 1) as w + u*o and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(-6)))\/(h*h**0*h*h))**(-2\/21)\/((h**(-1)\/h**(-2))\/(h\/h**(-3\/5)*(h**(-2)\/h)\/h)) assuming h is positive.\nAnswer: h**(-397\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, -1, 21\/4657 in decreasing order.\nAnswer: 1\/3, 21\/4657, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-56)\/35 + 2)*5. Let v be (-8)\/c*1*(-5)\/5. Solve -2*u = y - 6, 3*y - 7*y + v*u = 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7368\/20)\/((-2)\/10). Let d = s + 130780\/71. Let w = -63\/284 + d. What is the closest to w in -2, 0, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - 125*n**2 - 19*n**2)*(n + n - 4 + 2).\nAnswer: -298*n**3 + 298*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.4561 to one decimal place.\nAnswer: -85.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-10 - -5) - -6) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-8)*(1 + (-42)\/(-18)). What is the smallest value in -2\/3, 8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1258 - -406. Is s\/(-18) - 2\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97\/2 + 49. Let j(z) be the second derivative of w*z**2 + 1\/12*z**4 + 0*z**3 + 0 + 2*z. What is j(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.17599 (b) -2\/9 (c) -1\/4 (d) -31\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*d - 12 - 27, -3 = -y. Suppose 24 = 2*n + 2*u, 0 = 6*u - 3*u - d. Calculate the remainder when 15 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5851 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n - 21*n - 61 = -28*n. Let b(v) = -64*v - 1. Give b(n).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 300 + 0?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*g**4 + 24420*g**3 - 602586*g**2 - 679320*g - 187272 = 0. Calculate g.\nAnswer: -6\/11, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 39*d - 148. Let a be c(-12). What is the greatest common divisor of 748 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/10)\/f*f)\/f**(-8))\/(f**(2\/25)\/(f*f*f\/(f*f**(-1\/9)))))**(-4) assuming f is positive.\nAnswer: f**(-8938\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let a(m) be the second derivative of -19*m**4\/12 + 7*m. Give a(t(k)).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 2756394 and -575553.6.\nAnswer: 2180840.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(-2*-2*sqrt(68) - (sqrt(68) + -2 + -3 + sqrt(68))) + 2)**2.\nAnswer: 64*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/649356 and 91\/32.\nAnswer: 5194848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71602, -0.7, 0.3, -3, -4 in decreasing order.\nAnswer: 0.3, -0.7, -3, -4, -71602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000422 to six decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119407957.\nAnswer: 101, 307, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153) + sqrt(153)*-2) - sqrt(153) - -3*sqrt(153)*5)\/(1*sqrt(1296)*-1*1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -18. What is the nearest to 3 in 3\/4, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 8 = -y - 12, 3*s - 21*y = 186 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/38508407 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257487.\nAnswer: 3, 85829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 + 3 + -16 - (-7 - 0)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 1207\/55?\nAnswer: 1207\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -15 in ascending order.\nAnswer: -15, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/2 in -5.28, 2, 1\/9?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 11, 5, 1, 2, -9 in increasing order.\nAnswer: -9, 1, 2, 5, 11, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 divided by 2?\nAnswer: 2561\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/3 (b) 0.3 (c) -769\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(3 - 1)*-1. Suppose 0 = 5*a - 8*a + i. Suppose 25*k = 23*k + 4. Solve k*x + 3 = a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 5*l**2 - 3*l + 2. Let r(z) = -3*z**3 - 5*z**2 + 4*z - 3. Give -4*g(j) - 3*r(j).\nAnswer: j**3 - 5*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 + 46549*d**3 + 15336970*d**2 + 5058538100*d\/3 + 61810309000.\nAnswer: (d + 110)**3*(d + 139317)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1271 and 205.\nAnswer: 6355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + 2*l - 4*l)*(-1 + 4 - 1) + (0 - 2 + 4)*(7*l - 2*l - 3*l))*(0*l**3 - l**3 - 3*l**3).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.998 - -81.202. Let m = 80.2 - n. What is the second biggest value in m, -2\/9, 0.19, 4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 3*g - 19*g**3 + 9*g - 47*g**3.\nAnswer: -66*g**3 + 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044990?\nAnswer: 2, 3, 5, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48146 (base 9) to base 16.\nAnswer: 7dc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2303201 (base 4) in base 12?\nAnswer: -6795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-222)\/(-55))\/((-292)\/365) and -23\/244?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -4917789.\nAnswer: 16\/4917789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 2. Let m(h) = 5 + 40*h - 4*h**2 + h**2 - 40*h. Let s(a) = -2*m(a) + 5*r(a). Let d(x) = -13*x. Determine s(d(u)).\nAnswer: 169*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 77 - (-32 - -6)) + 0 + 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**3 + 48*n - 62*n**3 + 13*n**2 - 5*n**2 - 37*n - 23*n.\nAnswer: -84*n**3 + 8*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q - 3*f + 54, 2*f = -q + 8. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/6*15\/10. Let c(u) = -u**3 + 13*u**2 + 13*u + 16. Let r be c(o). Solve -m = -4*g + 3*m, -m = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1223652 (base 15) to base 8\nAnswer: 61531741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*a**2 - 4*a + 806.\nAnswer: 56*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5292, 10, 1286 in decreasing order.\nAnswer: 5292, 1286, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61047 by 119.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 93. Suppose -5*y + 2*n + 2970 = 0, 7*n - g*n - 1188 = -2*y. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 845 and 2197.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*i)*(6*i - 178 + 178) + (3 - 6 + 8)*(-1 - i**2 + 1) to the form m*i + x + n*i**2 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8940 divided by 6?\nAnswer: -1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186 - -216. Let c be (4*3\/t)\/(3\/15). Let 0 - 2\/9*h - 50\/9*h**4 - 70\/9*h**3 - 22\/9*h**c = 0. Calculate h.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.14 + 0.02. Let m = -0.22 - a. What is the closest to m in -0.5, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.0612.\nAnswer: -0.1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 20 - 235. Let n = -19 + i. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.5156 kilometers to nanometers.\nAnswer: 80515600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/53651 and 67\/15756.\nAnswer: 65025012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u + 12, 0 = -4*m + 4*u + 8. Let g = -0.44 - -0.04. Which is the closest to -0.2? (a) g (b) 1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/8 - 1157*u\/8 + 53761 = 0.\nAnswer: -1453, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*y + 5*b, -2*b + 10 - 42 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**5 + 24*h**4 - 17*h**3 - 2*h**2 + 2*h - 2. Let c(y) = -y**5 - 2*y**4 - y**3 + y**2 - y + 1. Let j(n) = -4*c(n) - 2*l(n). Factor j(t).\nAnswer: 2*t**3*(t - 19)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175360 (base 9) to base 12\nAnswer: -53046","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 - (10 - 23)) - -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -60. Solve i - 4*i = r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 13*q**2 - 4*q + 7. Let d(a) = a**3 + 9*a**2 - 3*a + 5. Let x(i) = -7*d(i) + 5*t(i). Let k be (-16)\/(-4) - (1 + 5). Calculate x(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3137618 and 3137620 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 - 366. Let j be w\/(-2) + 4\/(-16)*2. Calculate the greatest common factor of 57 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -271 (c) 264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-130))\/((-480)\/(-100) + -2 + 0 + 2).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulnhghghgnhnwhgh. Give prob of sequence nw.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-30)*29\/(1740\/(-50))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-302)\/6040).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002721 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82919938 plus 124.5942?\nAnswer: 82920062.5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 15 = 25. Suppose k = 3*a + a. Suppose 6*g - 8 = 2*g - 4*c, -a*g = 3*c - 14. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 18 = -2*m. Let v = 13 + -11. Suppose w + j - m*j = 17, 0 = -w + v*j + 11. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 2\/3, 0.1, 0 in ascending order.\nAnswer: 0, 0.1, 2\/3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79298 is divided by 443.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3035, -6129, -9223, -12317, -15411, -18505?\nAnswer: -21599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-1 - 1 + 0)*(-3*k + 42 - 42).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -9*p**5\/2 + 121*p**4\/6 - 2*p + 14. Find the third derivative of f(w) wrt w.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-9)\/(4 - 1)). Suppose 0 = -0*s + s. Suppose 0 = -s*f - 2*f. Is q less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.02124 + -0.02124. Which is the closest to 1\/4? (a) 0.4 (b) m (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o + o)*((-o + 0*o + 3*o)*(-2 + 1 + 2) - 2*o - o - o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 13. Let k(j) = 2 + 7*j**2 - o - 3 - j**3 + 11*j + 2*j**2. Let b be k(10). Solve -1 - 3 = -b*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (2\/(-1) - -1). What is the second biggest value in -0.1, x, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 45 = k, -3*z - k + 131 = -0*k. Let r = z - 26. What is the greatest common divisor of 27 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(288)*2)*5.\nAnswer: 5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2860 and 8?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -1 + -3 + (5 - 15)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 12 + -17 + (-3 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (20 + -9)) + -22 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2\/(-6)*2. Let q be (8\/9)\/((-14)\/21). What is the closest to 2\/5 in x, q, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1177.6 * -14.51\nAnswer: 17086.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3145 + 3144. Put r, -4, 4, -18 in decreasing order.\nAnswer: 4, r, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 1179*j + 1178.\nAnswer: (j + 1)*(j + 1178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -42693.6 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y. Suppose 2*m - 7*m + 5*k = 5, -4*m - 4*k = -20. What are the prime factors of v(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124410 and 99.\nAnswer: 373230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479016.5 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 6*c + 4*j, -5*c = -3*j - 7 + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 88. What are the prime factors of (448\/(6 + 1))\/(0 + s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41834 is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**3 + 11*l**2 - 2. Let a(z) = 11*z**3 + 17*z**2 - 3. Suppose -6 = -2*u + 4. Let s(m) = u*a(m) - 8*r(m). What is s(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 5*n**2 + 2. Let q be 1 - 2\/(-4)*2. Suppose 5*a + 29 = 4*u, a = 4*a - q*u + 17. What is the units digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1.1, 0.3, 36, 1\/5, 0.06 in decreasing order.\nAnswer: 36, 1.1, 0.3, 2\/9, 1\/5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -218*r + 218*r - 3*r**3 + 38*r**2 + 3*r**3 + 0*r**3 - 4*r**3 + (5*r**2 - 3*r**2 + 0*r**2)*(3*r + 0*r - 5*r) - 3*r**3 - 2*r**3 + 3*r**3.\nAnswer: -10*r**3 + 38*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201133 - 3232?\nAnswer: 142401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 q when four letters picked without replacement from {q: 16, t: 4}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -r - 17, u + 36 = -r + 34 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.63 - -0.37. Let p = 20.894918 - -0.105112. Let s = p - a. Round s to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1432956 and 204708.\nAnswer: 1432956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*c = 24, 3*c - 96 = -4*u + c. Suppose -3*k = 5*s - 43, -4*k + s + 109 = 90. What is the highest common factor of u and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 145*f - 285. Calculate z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -3*s**4\/8 + s**3\/2 + 12*s**2. What are the prime factors of z(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10*(1\/(-6) + 9\/(-54)). Let z = -6 - -5.6. Put -2\/15, z, l, 4\/5 in increasing order.\nAnswer: z, l, -2\/15, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 a factor of 27690734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x - 3. Suppose -210 = 906*c - 941*c. Let m(q) be the first derivative of -q**2\/2 - q + 1. What is c*m(a) - 2*k(a)?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199883.7 - -0.2.\nAnswer: 199883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/5 - 13\/20. Let v be (-2)\/(12\/(-10)) + 3 + -4. Let i = 0.4 - 0.1. Which is the closest to x? (a) 2\/13 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(-21))\/(1\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-510) - (50\/(-1025) - (-206884)\/1640)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67228, -67204, -67190, -67192, -67216, -67268, -67354, -67480?\n\"Answer: -i**3 + i**2 + 28*i - 67256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d**2 - 9*d**2 + 8*d**2)*(-6*d**3 + d**3 + 3*d**3) - d**5 - d**5 + 3*d**5 + (-2*d**3 + 2 - 2)*(-3*d + 3*d + 2*d**2).\nAnswer: 37*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6064265*l + 6064262*l - 12128529*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 264 + 164 = 0. Let z(v) = 14*v**3 + 6 + 10*v**3 + v - 7*v**2 - f*v**3 + 2*v**2. Give z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6783 and 2508.\nAnswer: 298452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58 and 1.7?\nAnswer: -98.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:23 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -1*(sqrt(143) - -2*sqrt(143)) + sqrt(143) + sqrt(143))\/((sqrt(11) + sqrt(99))*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Let p be (9 + z)*2\/(-3). Let r be (4\/(-6))\/(p\/(-9)). Is -1 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.3022112 rounded to 0 decimal places?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1, -0.2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-12))\/((-30)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 5*o**4\/24 + o**3\/6 + o**2. Let x be f(1). Suppose -x = -z - z. Solve -z*d + 3 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1051700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 330 = -4*u, -2*m = u + 5 - 332. What are the prime factors of m?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -135.1?\nAnswer: 40.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073 - 1183 + 2262 - 8*f.\nAnswer: -8*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 6*m + 0*m + 9*m in the form o*m + h + w*m**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 20914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 - 4*k - 5. Let g be y(-1). Suppose g*p + 20850 = 54865. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((256\/(-400))\/(188\/(-235)))\/(3\/(30\/(-28))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*l**5 + 0*l**4 + 6\/5*l + 12\/5*l**3 - 16\/5*l**2.\nAnswer: -2*l*(l - 1)**3*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (0 - 0))\/(3\/9). Let n(l) = -l**2 + l. Let k(v) = -v**2 + v. Let w(p) = 2*k(p) - 3*n(p). Give w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 2\/15 (b) -0.5 (c) -4 (d) -10.38 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/9))**(-47) assuming v is positive.\nAnswer: v**(-376\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6))**(-1\/64) assuming x is positive.\nAnswer: x**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3441, -3439, -3443, -3453?\nAnswer: -3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5 = 24*i - 23*i, -r - i = -1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457687 is divided by 1457282?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 38*a = 30. What are the prime factors of (-8)\/a*(-46375)\/(-106)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times 39?\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 49*y + 5*g = 11, -5*g + 15 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10760.186 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3161 = -4*u - 0*x, -2375 = -3*u + 2*x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 1064 + 176 = 0. Let f = 155 - u. Solve f = -c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8338*y - 3348*y + 1282*y + 17569*y + 3064*y to the form f*y + m and give f.\nAnswer: 26905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556376?\nAnswer: 2, 17, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -113. What is the closest to f in 1\/4, 1\/3, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -4 + 5 + 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/2 + d**3\/6 - d**2\/2 - 2*d. Let v(w) = 2*w**3 + 7*w**2 - 4*w + 1. Let n be v(-4). Calculate k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8 + 0*k**3 + 9*k**3 - 8*k**3 + 6*k**2. Let q(x) = -x**2 + 10. Let u be q(-4). Give h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4129114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1233 by 13.\nAnswer: 1233\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -18. Suppose -119 - 95 = -4*g - 2*o, -o = -3. Suppose 2*a = -2*a - g. Are a and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19*r + 1 + 11 - 3 + 6 + 2*r. Let x(v) = 14*v**2 - v. Let t be x(-1). Let h(u) = 3*u + 2. Give t*h(m) - 2*p(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*i - 29 = -14, -415*s + 3*i = -382*s + 93 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -0*r + r - p, 4*p = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 5 (c) -12 (d) 0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 157955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3140 less than or equal to -3135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 37*k**4\/24 - k**3\/6 - 2*k**2. Let s be q(1). Let x be (-1)\/3*s\/16. What is the second biggest value in -1\/2, 1, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*-12 + 3 + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5124.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28532.535 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 286 - 281. Suppose h = -s*m + 1217, -2*h + 6*h - 1208 = -5*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/6 (c) 1\/4 (d) 6954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8041526 + 311*x**2 - 8041526.\nAnswer: 311*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7194 - -709. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12842000 rounded to the nearest 100000?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*sqrt(35)\/sqrt(252) + sqrt(245) + 2*2*sqrt(245) + sqrt(245))**2.\nAnswer: 256*sqrt(5) + 82001\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)\/(1\/(-3)). Let s(z) = 4*z**2 - z. Let y be s(-1). Let f = 2090 + -2071. Solve -y*o + i*q - 6 - f = 0, 5*q - 10 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*((j*j\/j**31)\/j)\/j)\/(j*j\/(j*((j\/(j\/j**(-3\/11)*j))\/j)\/j*j)))**0)**44)**(1\/15) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-15\/4)\/x)\/((x*x\/x**(-2\/33))\/x*x))**(6\/19) assuming x is positive.\nAnswer: x**(-767\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -55*s - 45*s + 105*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228990942?\nAnswer: 2, 3, 673, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10463 + 125449\/12. Let k = -29\/3 - i. Suppose -5 = 97*z - 92*z. Which is the biggest value? (a) 3 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - 11\/(-3). Suppose o - 2*o = 108. Let n be 2 + (3 - o\/4). Calculate the greatest common factor of h and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13990 divided by -14?\nAnswer: 6995\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from jejejjjjnnnjjeewjw.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -4, 2\/9, -4081, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/1575 + r**6\/180 - 4*r**5\/225 + r**4\/45 - 64*r**2 - 2*r. Factor i(y).\nAnswer: -2*y*(y - 2)**2*(y - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355 or 2845?\nAnswer: 2845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183\/(-122)*(-15)\/(-10)*20?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 668537 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 2. Let b be a(-5). Let x = 15 - b. Suppose 3*c + y - 62 = 2*y, 0 = 3*c - 2*y - 58. What is the smallest common multiple of c and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3\/6 - 162517*x**2\/6 + 325037*x\/6 - 54173\/2 = 0.\nAnswer: -162519, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*c + 378 = 13950 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - -177. Suppose 228*g - 20 = 223*g. Suppose -4*q + g*x + 816 = 0, -3*q + 902 = -x + j. Calculate the remainder when q is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -845599523.\nAnswer: 845599522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a9 + -436a?\nAnswer: -41c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 46. What is the common denominator of (-10)\/a*((-115)\/(-20) - 5) and (-559)\/28 - (-4)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15939 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22794)\/(-917))\/(30\/21). Find j such that 129\/5*j - 9\/5*j**3 + z*j**2 + 33\/5 = 0.\nAnswer: -1, -1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 39. What is the fourth smallest value in 0.1, 37, -1\/3, g?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 44*o.\nAnswer: 2*o*(o + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 12*j**2 - j**2 - j**2 to the form t + x*j**2 + o*j and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -4. Let q = 0 + p. Let b = -4.5 - q. Sort 2\/7, 0, b.\nAnswer: b, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 7*y - 1. Let w be o(-3). Find the second derivative of 5*f - w*f + 31*f**5 - 45*f**5 wrt f.\nAnswer: -280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 22 = -5. What is the tens digit of 2\/3 + (-93)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*r*v - 1839*r + 327*v wrt v.\nAnswer: -11*r + 327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 2555427*t**3 + 2555430*t**2.\nAnswer: -3*t**2*(t - 851810)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336130, -336107, -336056, -335959, -335798?\nAnswer: -335555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 + 1437 = 23*a. Find the second derivative of -21*b + 20*b + 1 + 3 + 6*b + a*b**4 wrt b.\nAnswer: 1008*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 430, 47, 4 in descending order.\nAnswer: 430, 47, 10, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*(o**(-3\/8)\/o)\/o)\/(o**9*o**(-11\/3)) assuming o is positive.\nAnswer: o**(-257\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 19 + 96. Is v bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*w + 9, -4*w - 4*a = -w - 26. What is the second derivative of 4*y**5 + 8*y**4 + w*y**5 + 16*y - 8*y**4 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 233917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 1 + 0)*(2*x - 3 + 3) - 3*x + 4*x + 0*x - 1 + 1 - 2*x)*(8 - 127*x + 294*x - 149*x) to the form k*x**2 + d*x + q and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27536)\/24*24\/(-16). What is n rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187334\/533 or 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c8 (base 13) to base 16.\nAnswer: -1f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) + sqrt(117) + sqrt(13)) + sqrt(13) - sqrt(130)\/(2*sqrt(10) + sqrt(10)))**2.\nAnswer: 13312\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/1)\/((1\/(-4))\/((-294)\/(-2352)))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Suppose -6*z = -w*z + 1080. Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-5)\/(-20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 2250?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/((-1)\/(-6)). Suppose -4*v + s = -7. Let i be (-22)\/(-4) - v\/8. Solve 5*z + 10 = 2*t, i = -4*z + z + t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -590, -1158, -1726, -2294, -2862, -3430?\n\"Answer: -568*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 6*l - 12. Let p be x(4). Put -5, p, 5, -39 in descending order.\nAnswer: 5, p, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 131240*j**3 + 861983960*j**2 - 10329637920*j + 30974746320.\nAnswer: 5*(j - 13118)**2*(j - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4815891 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -2. Suppose -28 = -3*i - i - 5*g, 5*i = 3*g - 2. Calculate the greatest common divisor of c and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2335949.\nAnswer: 7, 11, 23, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 66, 142, 254, 408, 610, 866, 1182?\n\"Answer: v**3 + 9*v**2 + 12*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15519 - 15522. Which is the fourth biggest value? (a) o (b) -0.27 (c) -20 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u - 2108 - 904 + 548. What is the greatest common divisor of u and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327126*p**6 - 7*p**5 - 54*p**2 - 25914*p wrt p?\nAnswer: -39255120*p**3 - 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.018 + -3.698. Which is the closest to 1? (a) q (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 - 210526*y**3 + 5540254842*y**2 - 5539623274*y - 11080088644 = 0.\nAnswer: -1, 2, 52631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(7\/(-4)))\/(84\/98).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 8, 166, 0.1 in ascending order.\nAnswer: -5, 0.1, 2, 8, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 - 5*r + 8. Give j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-117)\/(-36) - 6\/(-8). Suppose -r*t - 3 = -2*a - 3*t, -4*a + 3*t = -5. Which is bigger: a or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101826728 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13008 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 j when four letters picked without replacement from {j: 5, v: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41833985.\nAnswer: 5, 149, 233, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 36 + 84. Suppose -z*w = -9*w - 6, 2*w = 2*j - 580. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 (base 13) in base 7?\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 329 - 1824. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 - 17*h + 438. What are the prime factors of l(-28)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 10) + (0 - (1 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6666219651.\nAnswer: 3, 7, 13, 23, 151667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116, -114, -114, -116, -120, -126?\n\"Answer: -z**2 + 5*z - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/360 - b**5\/24 + b**3\/3 - 2*b**2. Let i(o) be the first derivative of u(o). Let s be -4*2\/(-6)*-3. Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99896077 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yngywyvwwwvwv. What is prob of picking 2 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*q - 1, 4*h - 3*q + 8 = q. Solve -5*i + 0*a = 2*a + 10, h*a + 1 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4200441 (base 8) to base 4\nAnswer: -10100010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19061.9 years in millennia?\nAnswer: 19.0619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 1 + 2 - p - 22*p**3 + 3*p + 15*p**3 to b*p**3 + t + l*p + h*p**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 50 = 0. Let l(t) = -t**2 + 11*t - 10. Let y be l(g). Are -5\/4 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762365036.\nAnswer: 2, 190591259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-81)*((-1)\/2 - -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 72967*k**2 + 2043223*k\/2 + 3575726.\nAnswer: -(k - 145948)*(k + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523598811 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10828 and 10708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -92 (c) -0.04 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -7 (c) -2\/3 (d) -3 (e) -0.2 (f) -0.5 (g) -980461\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82616*b**3*h**3 + b**3*h - 2611*b**2 + 2*b*h**2 + 5*b*h wrt h?\nAnswer: -495696*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/((g\/((g\/(g**8*g))\/g))\/g))**(2\/75))**(-15) assuming g is positive.\nAnswer: g**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Suppose 4*h - 57 = -o. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.05, 0.4, 2 in decreasing order.\nAnswer: 2, 0.4, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 - 9. Let h be x(9). Let d be ((-80)\/6)\/((-3)\/h). What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64998710165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*c**5*q**2 + 18*c**4*q**2 - 30*c**2 + 2*c*q**2 - 2*q**2 + 9 wrt c.\nAnswer: -13260*c**2*q**2 + 432*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10682713 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10160 - 7826. Is a a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -848, -843, -838?\n\"Answer: 5*l - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 223. Let s = r - -160. What is the nearest to 0.2 in s, 5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156622.504 rounded to the nearest ten?\nAnswer: -156620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.215, 2\/7, -0.3?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123 is divided by 358.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1905? (a) -0.4 (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19189)\/8666)\/((-2)\/28)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -7\/1544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 13.897?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67335, -67343, -67355, -67371, -67391, -67415, -67443?\nAnswer: -67475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 10) in base 13?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**2 - 70 + 71 - 5*q**2 wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -31. Let x = -20.7 - a. What is the third biggest value in -0.3, x, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**2 + 6436*z + 1608.\nAnswer: 4*(z + 402)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -447472\/25 or -17898?\nAnswer: -17898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {w: 1, k: 3, o: 4, q: 3, a: 2, g: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 323260157 and -0.038176?\nAnswer: 323260157.038176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 2*x)*(24 - 79*x - 16*x + 110*x - 5*x**2 - 2).\nAnswer: -10*x**3 + 30*x**2 + 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10112939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 57 + 181. Let d = -26 + f. Let z(b) = b**2 - 4*b + 1. Determine z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3d?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/(-261) + 4\/(-18) and (-1 - ((-11)\/8 + 0)) + (-10373)\/(-552).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -49. Put -1, -2\/17, i in ascending order.\nAnswer: i, -1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 480655?\nAnswer: -12\/480655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 0, -1 = -4*o + 3*i - 73. What are the prime factors of (o - -1)\/((-159)\/78 - -2)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2332.64 less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) + 1)*3 - (sqrt(832) + -4*sqrt(832)*1)) + -1)**2.\nAnswer: 192*sqrt(13) + 29956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 + q - 1. Let s be c(1). Suppose -4*h + s*d - 4*d = -10, 0 = -2*h - 4*d. Let i(p) = p + 13. Let v be i(-11). Solve 16 = -v*n - h*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1070219474*g**6 - 4*g**2 - g + 45056275 wrt g?\nAnswer: 128426336880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuttfrffau. Give prob of picking 2 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 20044?\nAnswer: 20041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*i = -0*i - 4108, 5*i + 1663 = 2*k. Let t = k + -170. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84607 >= -84608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2, -4, 16, -262 in decreasing order.\nAnswer: 16, 2, 1, -1, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 378\/68 - (1 - (2 - 4)) and 87\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -0.08851 (c) 1\/3 (d) 3\/8 (e) 5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274357188, -274357187, -274357186?\nAnswer: -274357185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (178*-2)\/(((-24)\/22)\/((-549)\/2013)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2 (c) -3 (d) -2\/41 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let o(k) = -k. Let g be (1 - -2)\/(-2 - -1). Let b(s) = 2*s - 1519 + 1519. Let i(d) = g*b(d) - 5*o(d). What is h(i(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*k = -c - 129, 4*k = 5*c - 372. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2.88 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593 (base 15) to base 2.\nAnswer: 10011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -12. What is the greatest common factor of 48 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 2*g**2 - 2*g - 1. Let l be o(3). Suppose 0 = -4*q - 9 + 25. Let s be 59004 + (-8*l)\/q. Round s to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2191969 and 4784.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Calculate the remainder when 16 is divided by y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178577 (base 11) to base 3.\nAnswer: 111222001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*l - 193. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/673 or -1?\nAnswer: -18\/673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67.14189 days?\nAnswer: 5801059.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -119 times 8998\nAnswer: -1070762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -25*n**3 + 5*n**2 - 12*n + 5. Let y(i) = 4*i**3 - 2*i. Let v(t) = -q(t) + 6*y(t). Let f(m) = 270*m**3 - 27*m**2 - 27. Determine 5*f(c) - 27*v(c).\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19232 and 8948890.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 228865 (base 10) to base 11\nAnswer: 146a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2 = m, 2*x + 3*m - 11 = -13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*t**5 + t**3 - 4*t**3 - t**3 - t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 68.9. Let g = -0.1 - p. Let w = 0.284 - -1.716. What is the nearest to 3 in 1\/9, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 2, o: 2}. Give prob of sequence xo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -387*n + 409*n + 5. What is the biggest value in n, 1\/3, -30\/37?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17902, 35761, 53618, 71473, 89326?\n\"Answer: -j**2 + 17862*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y - 25. What is the tens digit of l(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 992193 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from -8.379.\nAnswer: -8.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35372, 35407, 35476, 35585, 35740, 35947, 36212?\n\"Answer: q**3 + 11*q**2 - 5*q + 35365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:42 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 = 3*y - 221. Let l = -70 - y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 3*p. Let l be r(4). Let i = 14 - l. Suppose -m = 4*z - i, 2*z + 0*z - 14 = -5*m. What is the remainder when 3 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 + -4 + 6\/(-3 - -6). Suppose 3*y + 3 = p. Suppose -3*u + 346 = -4*l, 9*u - y*u - 474 = -l. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + (1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*r**3*u + r**2*u + 2*r**2 + 5*r wrt r.\nAnswer: -762*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122800000 rounded to the nearest 1000000?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**(-14\/5)*k))\/k)\/(k*k**4))\/(k**2\/((k*k**(-1\/6)\/k*k)\/k)))**(5\/4) assuming k is positive.\nAnswer: k**(-359\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 equal to -1473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/336 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, a: 3, j: 4, s: 1, q: 1}. What is prob of picking 1 a and 1 j?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 44, -2, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*t - 16, 5*x - x = 5*t + 16. Suppose 104 - 108 = -x*u. Solve 2*q = -f - 10, 2*f + u = -q - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((-26)\/30*-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o - 21. Let r(m) = 13*m + 276. Let w be r(-21). What is the remainder when l(w) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2. Let k(g) be the third derivative of -61*g**5\/60 - 2474*g**2. Calculate k(o(m)).\nAnswer: -1525*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 655494430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35173 - -3?\nAnswer: -35170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (-1 + sqrt(112))*-3 - (-2 + sqrt(112) + -5 + sqrt(112))) + 0 + -1*(sqrt(112) + -1)*-3)**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**4 + 10*u**3 + 2*u + 46. Let z(p) = 17*p**4 - 41*p**3 - 9*p - 185. Let m(g) = -9*v(g) - 2*z(g). Differentiate m(n) with respect to n.\nAnswer: 8*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502633876 to the power of 1\/3, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -7 + 7 - 8. What is the nearest to g in 2\/11, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-21)\/6)*1. Suppose 0 = v*n - 3 - 1. Solve 2 = -q + 2*i, -n*q - 3*i + 4 = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 28*d - 234 + 739, -4*h + d + 22 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 - z - 4. Let o = 70 + -27. Let j = 40 - o. What is the units digit of r(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 25 = -25. Let i(q) = -q**2 + 9*q - 2. Let b be i(6). Solve y = -4*z + b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (sqrt(117) + 1)*1 - (((-2*sqrt(130)*-1)\/sqrt(10))**2 - sqrt(117)*-1*-6).\nAnswer: -56 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:49 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(17) - (sqrt(136)\/(sqrt(24)\/sqrt(3)) - sqrt(17))) + 0)*-1 + 2.\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 1.1, 8, -0.2, 3\/2, -31121, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:23 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*n + 1. Let b(p) = -2*p - p + n*p. Let x(z) = z + 2. Let m(i) = i**2 - 6*i - 12. Let g(f) = m(f) + 6*x(f). Determine b(g(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 143*t**2 - 8*t - 6. Let l(a) = -2*a**2 + 2. What is -2*l(p) - x(p)?\nAnswer: -139*p**2 + 8*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33896407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)\/(p\/(p**(-23)*p)))\/(p**5\/(p\/(p\/p**(2\/73))*p)))**(24\/11) assuming p is positive.\nAnswer: p**(-140600\/2409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 11:06 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**4 + g - 4*g**4 + 761 + g**3 - 2*g**2 - 753 to the form b*g**4 + l*g**3 + s*g + k*g**2 + u and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(396) + 3 + -2 - (-5 + (sqrt(99)*-5)**2 + sqrt(121)\/sqrt(44)).\nAnswer: -2469 + 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 395875 take away -0.5?\nAnswer: 395875.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1 (c) -0.03 (d) 23\/5 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10812053?\nAnswer: 7, 53, 151, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13150 (base 6) in base 11?\nAnswer: -1568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-44))\/((-234)\/156)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -332*w**3 + w**2 - 1. Let s be v(-1). Let z = -7303\/22 + s. Let j be (-1)\/(-2) + (-3)\/2. Is j bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -66. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 + 16*y**3 + 3*y**3 + (-9*y**3 - 3*y**3 + 2*y**3)*(-4 + 2 + 3) to the form g + l*y**2 + r*y**3 + d*y and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 342, 4, 172, -2 in decreasing order.\nAnswer: 342, 172, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 19191 - 30*j - 19191 - 4*j**2 as v*j + o*j**2 + d and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:48 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from sygygvggvgsvssv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52040090 to the nearest integer?\nAnswer: 7214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 2*n**2 - 3*n + 39. What is i(0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 275797*b*w + 13*b*y**2 - 5*b*y - b + 2*w*y**2 + 49*y**2 - 1 wrt w?\nAnswer: 275797*b + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 6*d**4 + 2*d**4 + (d**2 + 0*d**2 + d**2)*(-4*d**2 + 0*d**2 + 3*d**2) + 2*d + d**4 - 2*d + d**4 - 4*d**4 + d**4 + 2.\nAnswer: -5*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n**3\/5 + 4*n**2\/5 = 0 for n.\nAnswer: -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, z: 2, t: 6, v: 2}. What is prob of picking 1 e and 1 t?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -100111010022120?\nAnswer: 100111010022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x - 7. Let t be b(-8). What is the greatest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.041 and -68.529104237.\nAnswer: -68.570104237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-243 - 235 - 2*d + 316)*(-1 - 3 + 3)*(-3*d + 2*d - d).\nAnswer: -4*d**2 - 324*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*h - 3*o, 2*h + 9*o + 4 = 5*o. Let y = 6 - h. Find the third derivative of 4*u**2 + 3*u**2 - u**6 - u**y - 3*u**2 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5 - 8\/5*a**2 - a**3 - 1\/5*a = 0. Calculate a.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871077 plus -1.82686427?\nAnswer: 871075.17313573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/44)\/((-12)\/(-15)*(-90)\/4356)?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/102*((-16)\/3 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265250356 a multiple of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1303494.92499938 - -1303495. Let m = r - 0.075. What is m rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c + 35 - 35 + (-4 - 1 + 12)*(4*c - 3*c - 3*c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 609611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -5.70056.\nAnswer: -5.70056, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-24))\/((-111)\/(-6956)) + -5 + 10. Let l = 87 - 86.7. What is the nearest to -0.2 in l, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1011257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18225616?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10 + 3 + -1 + (2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, c: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266961?\nAnswer: 3, 23, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-10)\/(-700)*(-5)\/(-2).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-28))\/(2\/(-4)*-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 22 = 3*s - 0*w, -4 = -4*s - 3*w. Let d(l) = 46*l + 53*l + l**2 - 1 - 18*l**3 - 98*l. Is d(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10661554*i**3 - 5240502.\nAnswer: 31984662*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 136 = 5*a + 5*i, a + 8*i = -2*a + 104 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17108012 and 12831009?\nAnswer: 51324036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 9*y**2 + 4*y - 33. Let i be c(9). Solve 3*b + 3*f = 24, 8 - 27 = -2*b - i*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 45. Determine m(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 81*s + 49. Let n be c(8). Let v = n - -18. List the prime factors of v.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275780\/(-124101)*((-3)\/8)\/(6\/(-4)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-2050)\/(-41)))\/((-7)\/2).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 404537919183 and 5?\nAnswer: 404537919178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*h + 512, 0*h + 640 = 5*m + h. Let k = -80 + m. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 3*y**2 + 0*y**2 + (-2 - y + 2)*(-2*y - y + 4*y) - 3*y**2 - 3*y**2 + 4*y**2 + (-34 + 132 + y + 43)*(-y - 5 + 5) to s + o*y + w*y**2 and give o.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -184*i**6\/15 - i**5\/30 + i**3\/6 - 11*i**2. Suppose -4*h + 2*m - 15 = h, -m = h - 4. Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 2. Let i be y(2). Suppose i = 8*m - 3*m - 585. Calculate the remainder when 56 is divided by (-26)\/m - 173\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79263440 by 76.\nAnswer: 1042940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16463, 15871, 15279?\n\"Answer: -592*k + 17055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-22\/5)\/o)\/o**21 assuming o is positive.\nAnswer: o**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499332 is divided by 6935.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69363*f**6*i + 3*f**2*i + f**2 - 55*f*i + 4*i wrt f.\nAnswer: 8323560*f**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 41914222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2*g - 4, 20 = -2*k - 5*g + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15967.5 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 2:48 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(2\/11)\/(x*x**7*x**(-1\/12)\/x) assuming x is positive.\nAnswer: x**(-307\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -398624 + 1742624. Let m be 1\/((-447994)\/u + 8\/24). What is m rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 19582578247 + 19582578247.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(-2*sqrt(5) + sqrt(5)))\/(sqrt(576)\/sqrt(12)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167408\/47 - -3562. Which is the closest to -4? (a) s (b) -3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.29 times -1?\nAnswer: -164.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 797 = -b - 777, b + f = -10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21820 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159948.9ug to grams.\nAnswer: 0.1599489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-23 - (-90 + 35))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 926645.29 to the nearest one hundred.\nAnswer: 926600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22 - 1)\/(9\/12). Calculate the highest common divisor of 42 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -9) + -2 + (-6 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14507208815218 and -34?\nAnswer: 14507208815184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42.084 or -2\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 175 = 179 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 149, 190, 253?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-42))\/(-2)*2. Let p be (-2)\/(-3) - (-7528)\/84. Let t = p + -90. What is the nearest to -0.1 in 0, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 9. Let m be s(0). Suppose 5*l - m*l = -140. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031322112313 + 10?\nAnswer: 1031322112323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Suppose 5*x + m - 167 = 0, -5*m = x - 3*m - 28. Let o be (-6)\/(-24) + x\/(-40). Which is the second biggest value? (a) n (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 15*x = 2*q + 10, -5*x - 5 = q. Which is greater: x or 6\/127?\nAnswer: 6\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 87793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 384\/21 + 2\/(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 23*j**8\/56 + 3*j**4\/4 - 19*j. What is the third derivative of f(d) wrt d?\nAnswer: 2760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12552)\/14*(-4 + (14 - 17)).\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49415 - 6985 = -3590*a + 770*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 61*o**2 + 20*o - 2. Let j(c) = -304*c**2 - 98*c + 10. Give -3*j(x) - 14*z(x).\nAnswer: 58*x**2 + 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-3452222.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-245)\/(-95)) - (6 + -9). Put -39, -2\/11, 2, 5, v in decreasing order.\nAnswer: 5, 2, v, -2\/11, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136069807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4640966, 9281937, 13922910, 18563885, 23204862, 27845841, 32486822?\nAnswer: 37127805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 51. Let j(g) = g**3 + 2*g**2 - 11*g - 20. Let x be j(-3). Suppose 3*d - m = -5*t, -4*d + 52 = 2*t - x*t. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*l + 1 + 5 = 0, -2*w + 8 = 2*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -516, 4, -32, -3 in descending order.\nAnswer: 4, 0, -3, -4, -32, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3131 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 12. Let l = -30 - q. Calculate the lowest common multiple of ((-1)\/3)\/(2\/l) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163415 and 203.\nAnswer: 163415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-20)\/x*x**(-2\/9)\/x*(x*(x*x\/(x*x**(-5\/3)\/x)*x)\/x*x)\/(x*x**(1\/9)\/x))**(9\/2) assuming x is positive.\nAnswer: x**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624 and 4.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-300)\/(-45)*24\/10. Suppose -2*s - b = -6*s. Sort 1, s, 11 in ascending order.\nAnswer: 1, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*b + 625*b - 16520 = 303*b. What is the remainder when b is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 2021232113010?\nAnswer: 2021232113001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 9*g**2 - 4*g + 3. Give f(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 381 and 427125?\nAnswer: 54244875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24394 by -4.\nAnswer: 12197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 171d - 12?\nAnswer: 170b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**5 - b**4 + b**3 + b. Let n(h) = -14*h**5 - 10*h**4 + 16*h**3 - 4*h**2 + 10*h + 2. Suppose -3*p + 60 = 2*p. Let l(i) = p*m(i) - n(i). Factor l(a).\nAnswer: 2*(a - 1)**3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -213 (b) -32706 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4542 divided by -6\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2939565 to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 3*r + r)*(-r**3 + r**3 - 4*r**3)*(0 - 15 - 7) in the form y*r**4 + l*r + o*r**3 + g + w*r**2 and give y.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96820 (base 11) in base 9?\nAnswer: 234053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7772 by 4.\nAnswer: -1943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 4:00 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227 + -227.000000139. What is d rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 40. Let w = t + 36. Solve -w*s = -1 + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 + 121 = -7*i. Let y = -15 - -19. Calculate the remainder when i is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-126)\/147)\/(2\/28). Suppose -3*a = -a - 294. Let t = l + a. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4 and -21\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -27*g + 7. Determine f(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 4. Calculate the smallest common multiple of i(-2) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14668 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35856)\/(-36)*(-28)\/(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwyswtspwtwwtswppw. Give prob of picking 1 t and 2 p.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34.39 * 9.598\nAnswer: -330.07522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 10 - (-1 - -10 - (101 + -85))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 + -1 - (9 - 12). Let k(a) be the first derivative of 1\/2*a**2 - 1\/3*a**3 - 1\/2*a**4 - 48 - a. Determine k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 24*i**2 + 8*i - 28. Determine s(-11).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009472021 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 41, 0.1, -0.2, 1.4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j - 18. Suppose 81 = 3*g + 3*i + i, -4*g = -i - 108. What is the greatest common divisor of g and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51098 by -1762.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/131 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3527*r + 962*r + 84*r + 313495 = -1342*r for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1134144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 4*m = 3*b - 35, -4*b + m - 7 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 565 - 564 - (-2 - (25 - 3)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 19. Suppose -5*o + 12*o - 98 = 0. What are the prime factors of i(o)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 16) to base 2.\nAnswer: -10010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 29 = b. Let y = b + 25. Let d(q) be the third derivative of -q**5\/60 + q**4\/8 - 7*q**2. What is d(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u**3 - 56*u - 39*u**3 + 56*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 65 = 3*o, -2*x - 4*o - 4 = 16. Let i(t) = -t**2 - 21*t + 59. Let j be i(-21). Let b = x + j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/11, 103, -2.\nAnswer: -2, -20\/11, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.146, 8\/13065.\nAnswer: -1\/6, 8\/13065, 0.146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1914, 1915, 1916?\n\"Answer: b + 1913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19570096?\nAnswer: 2, 7, 13, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102012303 + -11?\nAnswer: -102012320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 13. Suppose -2*q = 5*j + 12, j + 5*q - 9 = 7. Let o be j\/8*0\/(-2). Put 3, v, o in ascending order.\nAnswer: v, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -799 + 1209. Suppose 16*o + 90 - x = 0. What is the remainder when 75 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 bigger than 561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 94 (c) -4 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1962044800 rounded to the nearest 1000000?\nAnswer: -1962000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/8)\/((-1071)\/(-1173)) and -13\/2112.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/45*(-51)\/136*(-36)\/10485.\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.084, -1\/2, -5, -0.05, -0.2 in increasing order.\nAnswer: -5, -1\/2, -0.2, -0.05, 0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r*r*(r\/r**(-1\/12)*r)\/r*r)\/r*r**(-1\/4)*r**(-2\/5)\/r**6 assuming r is positive.\nAnswer: r**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(99) - (-6*(sqrt(99) + 2*sqrt(99) + sqrt(99)) + sqrt(99)))\/((sqrt(441)*1 - sqrt(441) - sqrt(441))*2).\nAnswer: -27*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 6882.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -36*s**2 - 2*s. Let h(x) = 1764*x**2 + 99*x. Let i = 3481 - 3479. Determine i*h(a) + 99*g(a).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*b + 78, -b = v - 98 + 20. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300b (base 12) in base 4?\nAnswer: 1101023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -534358.64 - -534349.0399941. Let o = z - -9.6. Round o to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 (base 9) in base 13?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -662 - -1213. Let u = o + -549. Which is the fourth biggest value? (a) u (b) 1 (c) 2\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjqq when four letters picked without replacement from jjjjmmjjjjqmjjqjmmm.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 divided by -531?\nAnswer: -338\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4077700023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/4)\/(-1 - -4). Suppose -16 = -u + 5*u. Let h = -0.3 + 0.6. Which is the third biggest value? (a) u (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 + 169 + -23 + 13.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 45 = -2*u, 3*u = 6*u + n - 75. Let q be u\/7 - (-18)\/(-42). Find h, given that 0*h**4 + 0*h + 0 + 1\/3*h**5 + 0*h**2 - 1\/3*h**q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5 + 3 - 2 - 7*s. Let b(z) = 5 - 12*z + 3*z + 3*z. Let f(d) = -6*b(d) + 5*x(d). Let g(h) = -7*h**2. What is f(g(t))?\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 4, 21, 7 in increasing order.\nAnswer: -5, 4, 5, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 61.2. Let b = -3.294 - h. What is b rounded to two decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12. Let s = 3 - 11. Let v be 6\/s*4\/18. Sort -3, v, g in increasing order.\nAnswer: g, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/6 + 1)\/1. Let l = -5983 - -5987. What is the closest to 1\/3 in n, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10150953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/12 + 23*y**3\/6 + 21*y**2 - 2*y - 161. Give f(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*(-5 + 9). Put 1, 5, -4, h in decreasing order.\nAnswer: 5, h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6905200 + 1\nAnswer: 6905201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 0, -3 in ascending order.\nAnswer: -3, 0, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 7:24 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211214?\nAnswer: 2, 105607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 6*t**2 + 7*t + 7. Let k be f(-5). What is the units digit of 1 + (k - -5) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 8 = -2*y - 2*j, -y = -3*j - 12. Suppose -7*x + 3*x + 20 = y. Let z = -3 + x. Solve z*i = 5*i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**5 - s**4 + s**4)*(2 + 1 - 1) - 15*s**5 + 29*s**5 - 15*s**5.\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14366 * -4\nAnswer: 57464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 202.\nAnswer: -9\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 1, s: 1, x: 1, w: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -488, -504, -534, -584, -660, -768, -914, -1104?\n\"Answer: -j**3 - j**2 - 6*j - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.073503211 + 0.1612492.\nAnswer: 0.234752411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z - x - 0*x, -4*z = 4*x + 4. Let s(n) be the first derivative of -4 + 4 + n - n**2 + 1. Determine s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 218*m**2 + 16*m + 451. Is p(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92 and -6.9.\nAnswer: -634.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3383397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - i**2 + 17 + 10*i**2 + 10705*i - 10710*i.\nAnswer: 21*i**2 - 5*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 + 0 = 5*t, -2*t - j - 4 = 0. Let p = t + 7. Let l = p + -2. Solve -3*d + 0*x = 2*x - 9, -l*d + x = -18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 540509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 2*v + 15*v = -58*v + 1309 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) - (sqrt(11) - sqrt(11)*-1)))**2 + (sqrt(132)*1)\/sqrt(12).\nAnswer: sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-2270.\nAnswer: 11350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*((-1392)\/3712)\/((-1)\/(-8)). Factor 1\/5*r**3 + 3\/5 - 1\/5*r - 3\/5*r**q.\nAnswer: (r - 3)*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n, -92*h = -97*h - n + 89. What is the greatest common factor of h and 2016?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -28\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {u: 11, o: 4, g: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83.76 - -83.7599995599. Round d to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2010 - 1247. List the prime factors of u.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2 + -1 + 5\/5. Let h(w) be the first derivative of 2\/3*w**3 - 3\/4*w**4 - 1\/12*w**6 + 3 - 1\/4*w**2 + 2\/5*w**5 + f*w. Let h(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 3 + 27 = 0. Sort 10, v, 1, 5 in decreasing order.\nAnswer: 10, 5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/180 + t**4\/36 + 3*t**2. What is j in g(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2 + 13. Let a(v) = -5*v**2 - 3. Let q(o) = -o**2 - 1. Let c(m) = i*q(m) + a(m). Let u(h) = h**2 - 2*h**2 - h**2. Determine c(u(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -46. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5*m - 15 = 0, b + 630*m = 632*m + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**2 - 14*a**2 - 17*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43313519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r**(-1))\/r)\/r**(-6))\/((r**0*r)\/r**(-4\/7)))**28)**20 assuming r is positive.\nAnswer: r**1920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c = 48*c + 400. What is the units digit of ((-17650)\/c)\/(1*2\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1284\/15 - -4 - 18\/(-45). Let k be 5\/(-10) + (-146)\/(-4). What is the highest common divisor of m and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (6605\/(-150))\/(4\/(-10)). Let s = 110 - y. Which is the biggest value? (a) -1\/4 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (149620\/(-3475))\/2*(-2)\/7. Let h = -17\/139 + n. Let i = h - 24\/7. Find the common denominator of i and 125\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r + r - r**2 + r**2 - 37 + 3*r**3 - 5*r to z + c*r + v*r**3 + n*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111111110 (base 2) in base 16?\nAnswer: -1bfe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 156 - 54 = 0. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/18)\/((-10)\/(-75)))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = h - 4, -m - 14*h = -6816 + 6870 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 290344477 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14619 + -5154. Let b = h - 6446. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 928662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.93 - 6.325. Let m = 6364 - 6364.4133. Let g = c - m. What is g rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/7, 13\/2, -0.1, -5, 9\/26?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 6019*q**5\/10 - q**4\/3 - 5*q**3\/3 - 2*q**2 - 24*q. Suppose 0 = -m - 0*m + 6. Let u be t(m). Round u to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5095878 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63874 is divided by 21282.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-6 + 1 + 6*(0 + (sqrt(5) - sqrt(20)\/sqrt(4))))**2.\nAnswer: -36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -213310512062316 and 0.2.\nAnswer: -213310512062315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320221 (base 4) to base 7.\nAnswer: -13366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*n + 10 - 6, 2 = 2*g + 2*n. Let m(p) = 97*p + 33. What is the tens digit of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 429, 825, 1221, 1617, 2013?\n\"Answer: 396*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2856, 5737, 8618, 11499?\n\"Answer: 2881*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(2268) + 2*sqrt(2268))*-3 + sqrt(2268) - sqrt(2268) - (sqrt(2268) - (sqrt(2268) + sqrt(2268) + 3 + 1 + sqrt(2268))))*-3)**2.\nAnswer: -5292*sqrt(7) + 1000237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194928 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/12 + z**3\/6 + 2*z**2 + 11*z - 51. Let f(j) be the first derivative of r(j). What is f(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57)\/12 + 0 + (-10)\/8. Let h be 122\/(-6) + -1 - (-1)\/y. Is h != -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 7, e: 3}. What is prob of picking 2 e and 1 q?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l = 50. Suppose 2*n - 4*n = l, n - 3 = -4*u. Let w(o) = -17*o + 1. Calculate the smallest common multiple of u and w(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 5, c: 1, x: 1}. What is prob of picking 1 s, 1 c, and 1 x?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -782 - -1894. Suppose -k + 0*k = -y. Let o = 188 + k. What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 141 + 5 = 0. Let h = 53 + s. List the prime factors of (-150)\/(h\/5) - -4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*m*o**4 - 3*m*o**3 - 2*m - 2*o - 8 wrt o?\nAnswer: -28*m*o**3 - 9*m*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 + v**2 + 3*v - 5. Let k be x(2). Suppose 7*g = 19 + k. What is the derivative of -3 + g - 11*t + 0*t + 7 wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.08, -125, -0.63, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9461 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1224221 + -11?\nAnswer: -1224232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19262764?\nAnswer: 2, 131, 36761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 20*d. Let o(b) = -17144751*b**2. Determine n(o(j)).\nAnswer: -342895020*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*z**6 + 105*z**5 - 4*z**4 - 2353*z**2 - 8?\nAnswer: -1200*z**3 + 6300*z**2 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 85*t - 43*t + 13 - 45*t + 9.\nAnswer: 4*t**3 - 3*t + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**3\/2 + 61*u**2\/2 + 13*u. Let o be m(20). Which is smaller: -1\/79 or o?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4854407 is divided by 52765.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-3 - -7)*(-14)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyp when four letters picked without replacement from gyggpypygygpygyygy.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 558 + -553. Let c(n) = 6*n - 33. Calculate c(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924 + 0*t + 475 + 2*t + 449.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -11412?\nAnswer: 11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 421392.035 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57242 - -400039\/7. Let b = a - -11657\/126. Calculate the common denominator of b and -41\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 539. Let j be r(0). Suppose 3*x - 515 = -4*d, -4*d - 328 = -2*x + d. Suppose 3*p + j = -x. What is p rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9619 + -9616. Put -3, 0.211, 4\/7, j, 0 in ascending order.\nAnswer: -3, 0, 0.211, 4\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4*i**2 - 18*i - 20. Determine t(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 + -0.2099969. Round o to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(64)\/(sqrt(2) + sqrt(12)\/sqrt(6) + sqrt(2)))**2 + (sqrt(128)*2)\/sqrt(4))*-5*-1.\nAnswer: -240*sqrt(2) - 590\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9751907 litres to millilitres.\nAnswer: 975.1907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116601? (a) 1\/6 (b) 1\/7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 25256077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149782 - -149782.2. Let r = 3.08 - 0.08. Let v be 2 - (-5)\/(10\/8). Which is the closest to 0.2? (a) r (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30551 and 1784.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*465\/10*68\/306.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 5*z + 12 = 0. Let s(v) = -v + 7. Let y be s(6). Let t(g) = 4*g**2. What is the remainder when z is divided by t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 401*d - 91*d + 15360 + 5208 - 5378 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161*d - 1159*d + 67 = -5*s, -37 = 3*s - 2*d for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 3*n**2 + 3*n - 4. Let k(p) = -4*p**3 + 3*p**2 - 3*p + 5. Let w(v) = 5*b(v) + 4*k(v). Let g = 3 - 7. Let f be w(g). Solve x = f*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -62\/3 (b) -189 (c) 3 (d) -1\/4 (e) 1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*o**3 - 290*o**3 + 1119*o**3.\nAnswer: 745*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 3*o + 1. Let v be (3\/2 - -1)*(-24)\/12. Let j be (-35)\/15 - v\/15. Calculate b(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 162*u - 162*u - 2*u**2. Let g(t) be the third derivative of t**5\/30 + t**2. What is g(r(m))?\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, a: 1, p: 2, z: 1}. Give prob of sequence pl.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.85 + 6.85. Let b = y - 7.639. Let a = b + -6.911. What is a rounded to one decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 21. Let t be a(0). Find the common denominator of (t\/(-60))\/(16\/(-60)) and -49\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 49*b. Let l(z) = 406*z. Give n(l(r)).\nAnswer: 19894*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 0, 2*s + h - 4*h - 58 = 0. Let r = s + -30. Let a(t) = t**2. What is a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z**2 - 104*z**3 + 3*z**2 + 110*z**3)*(-1 - 3 + 1) - 2*z**3 + z**3 + 2*z**3 to a*z**3 + m*z**2 + h*z + i and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 22 = -5*n - 30, 5*n + 70 = 5*i. Which is the second biggest value? (a) i (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*x - 5*b + 4*b + 5*b + 214, -4*b = x - 0*x + 79 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -392883 or -392495?\nAnswer: -392883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 44 + 100 = 5*u, -3*i - u = -144. Suppose 0*b - i = -3*b. Calculate the least common multiple of 2 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4878 + 5303. Calculate the remainder when p is divided by 110.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 4 + 2\/(-9) + (-342)\/(-81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4 + b**3 - b**2\/2 + 24. Let o be a(1). Calculate the greatest common divisor of o and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c - 229. Let d(q) = -4*q + 116. Calculate 5*d(n) + 3*x(n).\nAnswer: -2*n - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let f = 1 - c. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*g = 302*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 3*o + 24, 0 = 4*o - 31 + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 1, i: 5, n: 3, g: 1, e: 1}. Give prob of picking 1 g, 1 s, and 1 i.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14872 divided by -14872\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:16 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183*z - 834 - 377 = -18956 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(18)\/sqrt(9) + 4 + sqrt(6)\/sqrt(3)*4 + sqrt(2) + sqrt(6)\/(sqrt(9)\/sqrt(3)) + 4.\nAnswer: 6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 23*v = -3*j + 18, 4*j + 11 = 5*v. Let 54\/7 - 3\/7*m**2 - 3\/7*m**4 - 15\/7*m**v + 9*m = 0. What is m?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 218, 215, 210, 203, 194, 183?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10 - 12)*(3 - 4 - 1)*(2*g + 2 + 2*g - 5*g + (-2 + 0 + 14)*(2 - g - 2))*(6*g**2 + 0*g**2 - 4*g**2).\nAnswer: -832*g**3 + 128*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**3 + 6*o**3 + 14*o**3 + o + 10*o**3.\nAnswer: 7*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 2672430*r + 1785470526225.\nAnswer: (r + 1336215)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3 - p**2 + 3 + 0 + 7*p. Is 18 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, 0.2, 4, 3\/5, -931?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.142252774 and 125.\nAnswer: 125.142252774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5.07 * -0.4\nAnswer: 2.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g. Let w(u) be the first derivative of 2*u**3\/3 + 10. Determine l(w(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -24\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 647, 1045, 1427, 1787, 2119?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*g + 44568 = 0, 5*c + 5*g = 94599 - 20329. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6*q*q*q**(2\/5)*(q**(-1\/4)\/q)**(19\/4)*(q**4\/q*q**1)\/((q\/(q**(-1)\/q*q))\/q**(-1\/2)) assuming q is positive.\nAnswer: q**(317\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p + 81*p + 209 = -2*n, 0 = -5*p + n + 1045. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-18))\/(0 - 2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4)\/u)\/u)\/u)**33\/((u\/(u\/(u\/(u*u**(-2)))))\/u**(-3\/4)) assuming u is positive.\nAnswer: u**(-935\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1b15906 (base 13) to base 3\nAnswer: -121211210222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916762731?\nAnswer: 3, 2857, 106961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 8*w + 8*w + 3*w + 7*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 316, -0.29, 1\/59?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 462799250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4722.\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6310167.\nAnswer: 3, 2103389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1095 divided by -15\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**4 + 5*j**3 - 32*j**2 + 4. Let r(s) = 2*s**4 - s**3 + 3*s**2 - 1. Let g(c) = 5*a(c) + 20*r(c). Let g(o) = 0. Calculate o.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9718074 minutes in nanoseconds?\nAnswer: 58308444000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.3. Suppose -78*w + 118*w = 600. What is the closest to r in -1, w, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j + 2 = 0. Suppose -c - 2 = 4*f, c = 2*f + j - 3. What is the nearest to -1 in 5, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 2)*(-5 - 1 + 4) + (18 - 8 + 14)*(1 + 1 + 0)*(3 - 2 + 1) + (2 - 1 - 2)*(-1 + 5 - 3) + 1 + 1 - 3)*(i - 1 + 1).\nAnswer: 92*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 497)\/(-12 - -13). Let i = -366 + w. Calculate the remainder when i is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*j - 33, 2*j + 7 = 3*j - d. Let f(g) = -g**2 + 4*g - 2. Let l(s) = 2*s**2 - 5*s + 3. Give j*f(q) + 4*l(q).\nAnswer: 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1653792 and -113\/384.\nAnswer: 6615168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, c: 3, k: 9}. What is prob of picking 1 c, 1 x, and 1 k?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 7 - 10. Suppose t*y - 9 = -3. What is the third derivative of o**2 + 4*o**6 - 10*o**2 - y*o**6 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, 1 in increasing order.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9299 + -9297. Let p(i) = -8*i**3 - 7*i**2 + i - 7. Let t(k) = -7*k**3 - 6*k**2 + k - 6. Let z(a) = 5*p(a) - 6*t(a). Determine z(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1274.5894 and 0.3?\nAnswer: 382.37682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*10*(-11)\/(-77).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12084950 is divided by 534?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101003131 (base 4) to base 14.\nAnswer: 1b657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 1, e: 1, q: 2}. Give prob of sequence eqp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 10375944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/2 + 304*t**2 + 361*t\/2 - 121.\nAnswer: (t + 1)*(t + 121)*(5*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19*x + 3. Let g be z(0). Solve 10 = a - g*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r - 9. Determine z(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -565*g**5\/12 - 151*g**4\/12 + g**3\/2 - 572*g**2. Find the second derivative of f(j) wrt j.\nAnswer: -5650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q + 6. Suppose -3*c - q*s = s + 16, 13 = -2*c - 5*s. Is (-67)\/2*(c - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q + 2. What are the prime factors of w(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 75 = -75. Let z be y\/(-12)*38\/(-5). Suppose -33*j - 34*j - 267 = -1272. Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.05 * 37432\nAnswer: -301327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:59 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 - 45*z**3 + 30*z**2 + 80*z = 0. Calculate z.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 3:27 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84b235 (base 14) to base 12.\nAnswer: 16046a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1077085\nAnswer: -3\/1077085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 + l**2)*(-3*l + 3*l - l) + (-24*l**2 + 10*l**2 - 3*l**2)*(2*l + l - l) - l**3 + 0*l**3 + 0*l**3.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 11, 4, -2 in decreasing order.\nAnswer: 11, 4, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9830*-0.1.\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 6, g: 5}. What is prob of sequence agba?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-44) - 17\/33. Let x = -16397 - -16401. Let i be 34\/17 - (-54)\/(-5). What is the third smallest value in x, i, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + 24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 101, 120, 135, 140, 129?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8100, -0.02, 0.3, -28?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 875 divide 5558875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 345?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-6) - (-51)\/18. Solve -2*m = 4*q - 12, -k*m - q + 2*q + 7 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-4))\/(-7)*8\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 36 (b) 252\/95 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.528868 times -0.3\nAnswer: -0.1586604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -790 divided by -158\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/(1 - 24\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - -2*3\/2. Let n = 11 - l. Let o(s) be the third derivative of s**4\/24 - s**3\/3 + s**2. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5324, 5260, 5020, 4598, 3988, 3184, 2180?\n\"Answer: -s**3 - 82*s**2 + 189*s + 5218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 93. Let l = -3 - -8. Let k = 5 - 3. Solve l + q = k*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -605 - -683. Calculate the remainder when 307 is divided by c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Suppose -7*u = -8*u + 4. Let y(r) = -5*r + u*r - 2*r. Give y(a(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u - 2*c - 6 = 0, 0 = c + 5. Put u, -5, 15 in decreasing order.\nAnswer: 15, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*p - 3, -2*r - 255*p - 8 = -251*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19382281*s**4 + 7*s**2 + 2189*s + 11099?\nAnswer: -232587372*s**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/12 of a minute?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*s + 28, -62863*c = -125726*c + 62861*c + 7*s + 76 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -30*z**2 + 8*z - 10*z - 3 + 27*z**2. What is n(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - s**2 - 2*s + 3. Let i = 31 + -23. Let c be w(i). Suppose 4*h = 2*k - 555 + 95, h = -2*k + c. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 19*i - 2*w, i + i + 2*w - 14*w + 7*w + 7*w = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, -19, -76 in increasing order.\nAnswer: -76, -19, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 492403752, 492403754, 492403756, 492403758, 492403760, 492403762?\n\"Answer: 2*z + 492403750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 + 32 = 0. Suppose 3*s - 3*y = -s + 13, 2*y - l = -s. Solve 3*c = -6*n + n - 8, -s*n = -5*c - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 148d + -5?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*-3*1121\/(3245\/(-55))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7778293 + 0?\nAnswer: -7778293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t + 10*t - 2*t - 24*t + 12*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r = -5632 - 7652. Solve 504 = 6*i + r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - ((-46)\/(-12) + 5\/30). Suppose 5*u + m*q - 2*q - 7 = 0, 4*q = -u + 19. Solve 4*g = -0*v + 3*v - 1, 2*g - 13 = -u*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427084516.\nAnswer: 2, 23, 4642223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(39)*-2 - sqrt(390)\/sqrt(360))\/(-1*sqrt(12)\/sqrt(4) - (sqrt(3) - ((5*sqrt(192) - sqrt(192)) + sqrt(3)))).\nAnswer: 23*sqrt(13)\/186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/15184 and 23\/53608.\nAnswer: 101747984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 604 - -1157a?\nAnswer: 11b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 597*l - 598*l + 101, 3*c - 55 = -2*l. Solve 42 + 63 = -c*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16589 + -16589.01. What is the nearest to -1\/2 in 4, -0.1, 3, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3611050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.1. Let z = -8 - -8.3. Let y = 0.2 - z. What is the closest to y in 1\/2, g, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.49193 kilometers?\nAnswer: 4491930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnkgddgkdkngddkndhg. What is prob of picking 1 h and 1 n?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402 and 2814.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4534385 litres in millilitres?\nAnswer: 453.4385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {l: 1, r: 1, z: 1, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70, 122, 208, 328, 482, 670, 892?\n\"Answer: 17*x**2 + x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*z + 3*y, 2*y = -3*z + z + 122. Let x = -53 + z. Solve -4*n = -x - 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlljyjjjjjljjqqjjyyj. What is prob of sequence ql?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 49. What is the remainder when w is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15) + 94\/10. Suppose -4*t + 6 - 17 = s, 5*s = -4*t + o. Let j(l) = -l + 6*l**2 + 6 - 4*l - 7*l + 2*l - l**3 + 4*l. Give j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.345 * -0.4\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365687177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 + 185. Let n(c) = 14*c - 1 + 9*c**3 + 0*c - s*c. Let u(j) = -5*j**3 + 3*j. What is -3*n(r) - 5*u(r)?\nAnswer: -2*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5027.435 centuries in millennia?\nAnswer: 502.7435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 13*c - 4. Let n be s(9). Let h = -47 - n. Let g = -48 + h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 0*w**5 - 3*w**5 + (24*w + 38*w**2 - 24*w)*(-4*w**3 + w**3 + w**3).\nAnswer: -77*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 3*z - 4*z + (-2 - 3 + 3)*(-2 + 2 + 2*z))*(11*z + 10*z - 3*z) - 30*z**2 + 20*z**2 + 22*z**2 as r*z + w*z**2 + s and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:07 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3342, -13356, -30038, -53388, -83406, -120092, -163446?\n\"Answer: -3334*w**2 - 12*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/21 and 61\/2422?\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496 is divided by 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.56 + 5.76. Let h = d + 5.7803. What is h rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*2*(1*-1*-2*sqrt(475) + -3 + -2))**2.\nAnswer: -46200 + 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12) - 0)\/((-13)\/(-273))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-53)\/(-106)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 4. Let f(i) = 5*i + 7. What is 4*f(v) + 9*p(v)?\nAnswer: 2*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 5*s - 16. Let w(i) = -129*i + 36*i + 27*i + 36*i - 1 + 31*i. Calculate -o(x) + 5*w(x).\nAnswer: -x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1049 * 52.15\nAnswer: -5.470535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 46 = 28*n, n + 6149*r - 6153*r + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1583.5 - 1583. Let m = 0.36 - -0.04. Which is the fourth smallest value? (a) -2 (b) 3 (c) m (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 723676543 - 3?\nAnswer: 723676540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/67 (b) -2\/9 (c) 2338 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 7:18 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7292 + -7293. Which is greater: -52\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*a - 105 + 191, -77 = -3*a - 4*m. Solve 7*h + a = 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99)*1 + 3)) + -1*sqrt(99)*6 + -2 + (1*(-2 + (-2*(0 + sqrt(99)) - sqrt(99))))**2.\nAnswer: 18*sqrt(11) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9 - 2 = 0. Let z be (i - 9)*(-22)\/1. Let t be z\/(-7) - (-24)\/(-84). Solve 2*u = t*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 0.846.\nAnswer: 1.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 8.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.8. Let u = -168 - -172. What is the nearest to -1 in u, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12384 - 12384. Solve 1\/3*o**5 + 0*o + 0*o**4 + a*o**2 - 1\/3*o**3 + 0 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 94673 - 116025 + 21352.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32798339*o**4 + 17567*o**2 + 94 wrt o.\nAnswer: -787160136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 62*s + 838. Give w(25).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*-24\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8*(-2)\/(-3). Let m = 27 + -27.6. Let j = -1.69 - -1.69. Which is the closest to j? (a) m (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.25326 milligrams in micrograms?\nAnswer: 27253.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3580.\nAnswer: -1\/1790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -16352, 2, 22 in increasing order.\nAnswer: -16352, -10, 0, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i + 2*g, 4*i + g - 12 = 3*g. Suppose 4*a + a = 5*q, 0 = -4*q + 2*a + 4. Let s be q\/(-2 + 1)*-1. Are s and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**(2\/11))))\/g**4)\/(g**1)**(-1\/15) assuming g is positive.\nAnswer: g**(-514\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 479 - -2005. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**13*p*p)\/p)\/(p\/(p*p\/(((p**11*p*p)\/p)\/p)))*p**(-4)\/p**6 assuming p is positive.\nAnswer: p**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 + p - 1. Let c(w) = w**2 - w + 1. What is 2*c(x) + j(x)?\nAnswer: -3*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1421 + 0.7909. Let h = i + -41.033. Let y = h + 51. What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -h - 1 + 6, -5*k - 20 = -4*h. What is the second derivative of -7*a + 14*a**h + 6*a + 10*a wrt a?\nAnswer: 280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 13*z**2 + 21*z - 79. Let y be f(-10). Put y, -11, 3 in descending order.\nAnswer: y, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 478*r. Let w(j) = -5*j**2. Determine w(x(g)).\nAnswer: -1142420*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-18)\/45)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - i + 0*i)*(-7 + 2 - 19)*(-4 + 5 + 0 + (4 + 2 - 4)*(4 - 1 - 2) - 127 + 53 - 66) to the form k*i + c and give k.\nAnswer: -3288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -97\/490 (b) -12 (c) -0.04 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5681.1 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 5065*r**5 - 5019*r**5 + 42*r**2 - 3 wrt r.\nAnswer: 2760*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.01 - 0.01. Let s = 6\/37 - -44\/185. Let q = 1.6 + -0.6. What is the nearest to q in -0.3, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 4*m**2 + 5*m - 4. Suppose -3*w = -10*w - 28. Let l be t(w). Is l < 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32114 (base 14) to base 5.\nAnswer: -12332300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - 4801.\nAnswer: -4790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0369 + 890475\nAnswer: 890475.0369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*y - 207*y - 735 = -420*y for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/20 - 20*k**2. Let s(x) be the third derivative of x**5\/30 + x**2. What is c(s(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2035)\/22*(-60)\/150?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a factor of 212179136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (228\/16)\/1*-4. Find the common denominator of 0 - 1 - 0 - s\/44 and -85\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7*x + 30 = 3*x, 0 = -2*v + 3*x + 12. Suppose -v*g + 3505 = -g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i + 25 + 68 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 3\/4, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 5*q**2 - q - 3. Let j(h) = -2*h**2 + 3*h + 1. Let l be j(3). Let i = l + -1. Let d = 14 + i. What is f(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80\/63 + 14\/9. Sort d, 0, -5, -3.\nAnswer: -5, -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438820991*n**2*u**3 + 3737*n**2*u**2 + n**2 - u + 49001 wrt u?\nAnswer: 2632925946*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a\/(a\/(a*a*a**1*a)))\/a)\/a))\/a*a**(-10))\/((a**(13\/4)*a)\/a*a*(a\/(a\/(a*a**(-1\/6))))\/a*a) assuming a is positive.\nAnswer: a**(-205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:15 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:44 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Suppose 4*m = -0*p + 3*p + 26, -5*m + 29 = -2*p. Find the third derivative of r**2 + 8*r - 4*r**t + r**m - 8*r wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) 22 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kik when three letters picked without replacement from {i: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + 206*n - 219 + 107 + 57 as k*n + h and give k.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = z - 60, 0*c - 4*c = -2*z - 34. Let f = c + 29. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507 - 507 - 3572*t.\nAnswer: -3572*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6837*s**2 - 6832*s**2 + 9 - 14*s + 13668*s**2 + 5. Give b(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 * 39\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299937\/40 + -7498. What is the common denominator of 46\/(-10) - 1\/(-4) and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (25\/(-75))\/(41\/3))*-2.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frx when three letters picked without replacement from fsxffrxrrfrrx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1)*(-1 - 2 - 19)*(-2 + 2 + u)*(0 + 0 + 2).\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143648646?\nAnswer: 2, 7, 19, 1021, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -6 - (-7 + -4 + 9 + 3 - 35)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157049305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2154517, 2154373, 2154229, 2154085, 2153941, 2153797?\n\"Answer: -144*n + 2154661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by -5\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpllllwjjzxj. What is prob of sequence xlz?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 168. Calculate the lowest common multiple of 2\/(-8) + 9\/((-252)\/(-343)) and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-75)*-5*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232679 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, -3, -8, 1, 2, -59 in decreasing order.\nAnswer: 2, 1, -1, -3, -8, -21, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 230469 divided by -5?\nAnswer: -230469\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60500 and 900.\nAnswer: 544500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 - (-2 - -2 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/11)*v*v\/(v\/(v**(-1)\/v)))**25 assuming v is positive.\nAnswer: v**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5 + 7. Let i be w\/((-10)\/4 + 1). Suppose -5*j - 2*u - 2*u = -53, 4*u = -i*j + 14. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -328*s + 324*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 8*p**2 + 2*p + 22. Let u be t(-8). Suppose u*h + 900 - 222 = 0. What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-2*sqrt(4)*1)\/sqrt(288))*2 + 5)**2 + -3.\nAnswer: 2*sqrt(2) + 56\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {h: 2, a: 1, d: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -27148000600 to the nearest one million.\nAnswer: -27148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(66)*3)\/sqrt(6).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 25*h - 6. Let y(f) = 49*f - 18. What is -5*l(x) + 2*y(x)?\nAnswer: -27*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -461 + 131?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (-6 + 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255032 and 6760904?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6) + (1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 337687466*o**2 + 122717603 wrt o.\nAnswer: 675374932*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, g: 2, x: 1, i: 1, y: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = -v, -4 = 34*y - 38*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*k + 21 + 16, -1 = -k. Let r = -22 + z. Find the first derivative of 15*p**4 - 32*p**4 - r + 11*p**4 wrt p.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.125513051 to five decimal places.\nAnswer: 0.12551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 24. Let j = c - -28. Suppose -5*h - 6 = -j. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2872 (base 10) to base 4\nAnswer: 230320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 75897.07 milligrams?\nAnswer: 0.00007589707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-35)\/314) + 4\/20. Suppose -d = -27*q + 153. What is the lowest common multiple of q and 52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prtrrpssrrttttgprg. What is prob of sequence tg?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 668655 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*k**2 + 1041*k**2 + 2*k**3 - 3*k**3 + 0*k**3.\nAnswer: -k**3 + 810*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9794, 38960, 87674, 155936, 243746, 351104?\nAnswer: 478010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*l = 27*l - 408. What is the smallest value in -2\/11, -1, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 48140*m\/7 + 289682450\/7.\nAnswer: 2*(m - 12035)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378032479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 34*r + 35)*(-7 + 18 + 3)*(9 + 0 - 4) to the form w + c*r and give c.\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) -3 (c) 20.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyqqzqiiziziziz. What is prob of picking 3 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-27)\/(-18) - 1) + (-3)\/(-2))\/(-15). Which is the third biggest value? (a) -2\/3 (b) 0.0014 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:26 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16810 and 3992785?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1218\/(-126) - (-5)\/3). Let v(h) be the third derivative of 0*h + 0 + 0*h**3 - k*h**2 - 1\/8*h**4. Let p(r) = -6*r. Calculate -3*p(c) + 5*v(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3556604 + (-3 + 2)*(-2)\/(-2). Let i = n + -1543395. Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.7 - -5.3. Let l = -40.40873 - 6.59081. Let y = l + f. Round y to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 4) + 18 - (17 - (2 + 24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxqbzqqg. Give prob of sequence xq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/2 + 5*x**2 - 12*x - 1. Let m(s) = -s + 1. Let y(p) = 12*m(p) + u(p). Solve y(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)\/(b\/((b*b**(1\/3))\/b)))\/(b**(-2))**(5\/12))**(3\/16) assuming b is positive.\nAnswer: b**(-41\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 35 = -11*s. What is the nearest to -0.2 in s, 0.3, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 32 = -8*h + 4*h, -14*h + 150 = 5*z for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*t + 105*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (34 - (26 - -26)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1658 = -g, 0 = 16*w - 19*w + 3*g + 1248. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.7 + -18.3. Let v = -22.00000112 - c. Round v to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -46*m - 9 + 1 - 3*m**2 + 47*m. Let t be o(4). Let g = t + 58. Solve -g*v + v = a - 6, -4*a - 24 = -4*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025409 rounded to four decimal places?\nAnswer: 0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 113\/(-904) + -1 + 2\/16. Let u be h\/(((-8)\/(-96))\/(2\/(-6))). Solve -a = -u*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.38.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5 = -a. Suppose 0 = 2*m - a - 5. What is the tens digit of (147\/28)\/(m\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-1 + 17 - (-54 + 39 + 17)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/sqrt(5)*-2 - (sqrt(416)*-2 + sqrt(416) - sqrt(26)))\/((sqrt(8) + sqrt(392)*1 + sqrt(392) - sqrt(8))\/sqrt(4)))**2.\nAnswer: 117\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31586 + -31556. What is the highest common factor of o and 4962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132 - -69 - 42) + (2 - (-4 - 7))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -12. Suppose 5*v + 14 = -3*r + 2*r, -2*v = -2*r - u. Let a be 4\/(-10) - (-161)\/(-35). Is r bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:29 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16106306 to the nearest integer?\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 - -96. What are the prime factors of ((-2)\/5)\/(2\/x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 2865, -0.9, -2\/25, -0.5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnqcg. What is prob of sequence fn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004098 rounded to 7 dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**7\/105 - g**6\/5 - 9*g**5\/10 + g**4\/3 + 12*g**3 - 375*g**2. Let v(u) = 0. What is u?\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21214653*f**3 + 262246396*f**2?\nAnswer: -127287918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 343254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4)*(-6)\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(-4*(2*sqrt(2) - sqrt(2)))**2 + 0)*-2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*i = -73, 22 = 5*f + 2*i - 65. Solve -13*u + 95 = f for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*x, -105*x = -106*x - h + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20654.\nAnswer: 2, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3042*a + 3044*a - 217 - 50 as r + f*a and give r.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/7, -4, 1990, -10\/7 in increasing order.\nAnswer: -4, -10\/7, -0.1, 3\/7, 1990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkzkzfcci. Give prob of picking 2 k and 1 i.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 35702?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 11*k**2 + 10*k - 16. Determine h(11).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(27)\/sqrt(729).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 2) to base 5\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (9\/3 - 1). Let y be r\/1*11*3. Let n = y + 58. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65529769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51887094.04 - -51887116.03999987. Let u = 126 - 104. Let s = u - g. What is s rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 10 = 5*i. Let x be 4 - i - 0\/(-2). Suppose -g - x*g = 4140. Round g to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 2, p: 1, j: 1, s: 4}. What is prob of sequence ssh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*w - 85*f = 9*w + 529 + 681, 5*f + 58 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 2 = 0. Let f be (4 + l)*8\/6. Let y(c) = c**2 - 2*c - 8. What is the remainder when y(f) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.029 + 0.029. Let i = u - -52. Which is smaller: 10 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1228834579 or -1?\nAnswer: -1\/1228834579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -2 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 2.9. Let v = 3 - n. Let p = 6 + -4. Put p, v, 0.1 in increasing order.\nAnswer: v, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 8*c**2 - 8*c - 4. Let q be j(9). Let i = q - 8. Let y(n) = -15*n + 4. Is y(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/49 and 38\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 + 27*t**2 + 11*t + 1. Let d(i) = -i**3 - 9*i**2 - 4*i. Let f(m) = 8*d(m) + 3*y(m). Let n = -113 - -105. Is f(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 17. Let m(z) = -12*z + 57. Let q(r) = 23*r - 106. Let t(s) = -5*m(s) - 3*q(s). Give 13*g(x) + 6*t(x).\nAnswer: -2*x - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {y: 1, x: 4, p: 1, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4*z + 16, -25*v + 27*v - 15 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -55.69 + -1577\nAnswer: -1632.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 431?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20c2c + 53?\nAnswer: -20bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {o: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045174 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 10. Let h be y(8). Suppose -3*m - h = -d, 9*m - 4*m = -d + 10. Find the third derivative of 5*i**d - 18*i**5 - 5*i**2 + 9*i**5 wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102902 + 68124969?\nAnswer: 68227871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.37435 plus 0?\nAnswer: 2.37435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3240 or -3241?\nAnswer: -3240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309 + -310. Let c be 1 - (-1 - 0\/(-1)). What is the closest to g in 5, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 9*l - 10. Does 14 divide t(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 2*u - 2*u**3)*(2 + 0 + 4)*(3*u + 0*u - 2*u) to the form p*u**3 + h*u + r*u**4 + d + y*u**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 1172, 1758?\nAnswer: 2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -220036 or -219467?\nAnswer: -219467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 151 - 86*z**2 + 248.\nAnswer: -86*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -116a52 (base 11) to base 15\nAnswer: -39bea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17636 - 1?\nAnswer: 17635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*8.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91.999844 - -92. What is m rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 10*w**2 - 9*w + 13. Let q be s(9). Let u = q + -8. Let p(g) = g**3 - 6*g**2 + 4*g - 1. What is p(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + s - 24 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2599*g**2*y**3 + 2*g**2*y - 6*g**2 - g*y**3 + 2*g + 3432*y**3 + 9*y wrt g?\nAnswer: -5198*y**3 + 4*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 - -52.6. What is the third smallest value in -0.2, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 (base 6) in base 13?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.37 + -5.63. Let o = -13 - f. Let k = o - -7.4. Sort 3, -2\/3, k.\nAnswer: -2\/3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 second derivative of -72726*j**2 - 11*j - 1802?\nAnswer: -145452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**3 - 10*g**2 + 4*g - 2. Let j(n) = 8*n**3 + 9*n**2 - 4*n + 2. Let z(p) = 5*j(p) + 4*t(p). Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (58\/(-14))\/((-306)\/2142). Solve 13*q - 6*q = -g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 207925, 207454, 206983?\n\"Answer: -471*q + 208396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73.7 + 72.2. What is the third biggest value in j, -14, -2\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/4))\/s)**(-6\/23))**35 assuming s is positive.\nAnswer: s**(-105\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddhd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = -0*c - 3*m, c - 5*m = 13. Let u be (358\/3)\/(c\/12000). Round u to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -582*q - 9. Let p(w) = 2*w**2. Give p(u(n)).\nAnswer: 677448*n**2 + 20952*n + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 5:23 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89762.02l to millilitres.\nAnswer: 89762020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14187328667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + 0*a**2 + 0*a**2)*(16424 - 16424 - a**2 + 31003*a) to the form s*a**3 + v*a**4 + g*a**2 + b + p*a and give s.\nAnswer: -31003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.7062?\nAnswer: 0.21186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -307 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 820220*n**5 - 3*n + 259585 wrt n?\nAnswer: 16404400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20252506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w - 4*w - 17*w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 - 2*f + 190. Let n(d) = d**2 + 1. Determine -3*n(v) + s(v).\nAnswer: v**2 - 2*v + 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7731 = -855. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -396, -5.9, -2\/5, -156?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -17*r**2 + 0*r - 85\/3*r**3 - 78. What is the second derivative of w(i) wrt i?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050929 - 12800 = 102*b - 1249221. What are the prime factors of b?\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 1\/120*a**6 + 0*a + 2\/15*a**5 - 1\/3*a**4 + 3\/2*a**3 + 0 + 12*a**2. Let s be u(-9). Does 3\/43 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:29 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959590184.\nAnswer: 2, 7, 331, 51769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i + 8262258 - 8262258. Let l(z) = 290*z**2. Calculate l(h(j)).\nAnswer: 7250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-128)*(0 + (-2)\/5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078707673?\nAnswer: 1078707673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36417119237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 320775 and 0.8.\nAnswer: 256620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - (-33 - -3)) + -12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 997 + 155. Find the common denominator of 139\/24 and 39*20\/p + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83261*v + 83278*v = -272 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m + 7. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*c - 639 - 20*c - 2162 - 97)*(9 - 20 + 7 + 5*c) in the form o*c + k*c**2 + g and give g.\nAnswer: 11592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**4 - 2941*d**3*h**3 + 2*d**3 - 20*d**2*h - 5147*d*h**3 wrt d?\nAnswer: 240*d - 17646*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (sqrt(76) + 1)**2 + sqrt(19) + (sqrt(76))**2 + -5.\nAnswer: 7*sqrt(19) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + o = -2*j - 18, 5*j = 2*o - 9. Put -2, -4, 18, j in descending order.\nAnswer: 18, -2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 311 = 38. Suppose k*j - 428 = 196. Calculate the highest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*l - 115 + 82 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-3)*(-3)\/42*-3*-28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, k: 2, d: 2, w: 2, l: 7}. What is prob of picking 1 w and 1 d?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 893078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -739255 to the nearest ten thousand.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 9 - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 29 = t + 2, -4*c + 5*t + 53 = 0. Suppose -5*p + c = 7. Let a(k) = -6*k**2 - 2*k**p + 7*k**2. Let r(b) = -9*b - 2. Determine a(r(s)).\nAnswer: -81*s**2 - 36*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 - 17*n + 17. Let u(p) = 8*p**2 + 18*p - 18. Let t(d) = -7*o(d) - 6*u(d). Let z be t(-12). What is the units digit of (67*z\/4)\/(25\/100)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4676 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-125)\/(-100)*(1 - -3) - 122. Let v = m + 60. Do -170\/3 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/3*(-5 + 8). Let p be (2\/k)\/(3\/(-150)). Let t be (-9)\/15 - 3\/p. Is t greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24 + -22 + -5 + 7. Let x(r) be the third derivative of -3*r**2 - 1\/168*r**8 + 0*r - 1\/105*r**7 + 0*r**3 + 0*r**w + 0 + 0*r**5 + 0*r**6. Factor x(n).\nAnswer: -2*n**4*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2233 = 216*b - 2161*b + 64473 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132023322 (base 4) to base 3.\nAnswer: 20021121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 555538.1ml?\nAnswer: 555.5381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - 5*i)*(1917*i**4 + 2276*i**4 + 503*i**4).\nAnswer: -9392*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 14*w**2 - 46*w + 117*w + 1 - 71*w.\nAnswer: 21*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)\/((f\/f**(-1\/6))\/f*f))**(-17\/5)*(f\/(f**0\/f))**(-3\/14)\/((f\/(f*(f*f**(-1\/5)*f)\/f))\/(f*f*f**(-1\/6)*f)) assuming f is positive.\nAnswer: f**(473\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 4:19 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 602, 903, 1204, 1505?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 43*v**2 + 28*v - 1151. Determine i(43).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 3. Let c be m(5). Is 5\/((-1)\/6*c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juv when three letters picked without replacement from {v: 7, j: 5, u: 2, g: 3, b: 1}.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 5*z**3\/3 - 30*z**2 + 180*z - 1976. Determine a, given that f(a) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 49*d + 58. Calculate k(52).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.35039 litres in millilitres?\nAnswer: 52350.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243392203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -1 (c) 3 (d) 45 (e) 23 (f) 1\/26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 41*l = 37*l, 0 = 2*j - 5*l - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -3 (c) 19 (d) 40\/13 (e) 0 (f) 0.4 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 494667700 a multiple of 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 2\/5 (b) 3\/17 (c) 1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 divided by 89?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*n - 60*n - 4*n + 2*n - 216*n to the form y + x*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213683\/3 - -854735\/12. Let b = -1 - -1. Put f, b, -6 in decreasing order.\nAnswer: f, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.02, 3\/7, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115568*r**2 - 115568*r**2 - 5*r**3 - 57*r**4)*(0*r - 3*r + 2*r).\nAnswer: 57*r**5 + 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 16 = 2. Find the third derivative of -25*t**4 + 52*t**4 + 20*t**2 + 10*t**n wrt t.\nAnswer: 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 154*l - 98. Let g(k) = -154*k + 118. Give -5*g(u) - 6*n(u).\nAnswer: -154*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -91*v**2 - 5*v + 87. Determine q(2).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five quarters of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-10)*(-315)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 28. Let n be 21 + (-3)\/3 + 1. Let j = l + n. Calculate the highest common factor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + 6*d - 101. What is k(7)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2478752\nAnswer: -1\/619688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20 - 16\/(-40)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*p + 8, -d + 4*d = -5*p + 12. Suppose d*m = -0*m + 40. Suppose 0 = -w + 3*w - m. Which is smaller: 6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*y = -7*y + 3, 5*y = -5*j + 5. Suppose 0 = 5*q + s - 19 - 133, j = 5*q + 2*s - 149. Calculate the remainder when q is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f + 11. Let j(s) = -4*s - 10. Let k(r) = -3*b(r) - 4*j(r). Let o be k(-7). Suppose 6*c - 4*c - 92 = o. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*1*sqrt(104) + sqrt(104)*-1*-5)\/((sqrt(128)*1 - sqrt(8)) + sqrt(8) + sqrt(56)\/sqrt(112)).\nAnswer: 36*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -0.9. What is the nearest to -1\/2 in 1\/4, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*d = -10, -5*b - 6*d = -7*d - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 - 12 = 0. Let g(b) = 2*b**3 - 6*b**2 - 4*b. Let c(l) be the second derivative of -1\/12*l**4 + 0*l**2 - 1\/6*l**3 + 10*l + 0. Give x*c(r) - g(r).\nAnswer: -2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.28 (b) 4\/5 (c) -1\/2 (d) 102\/7 (e) 1\/76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*4\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 154. Let n = 62.9999967 - h. Round n to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990.60087 rounded to the nearest ten?\nAnswer: -1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078365, -1078376, -1078395, -1078422, -1078457?\nAnswer: -1078500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075560 is divided by 139798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3428758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w - 2. Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3673 - -3701. Solve -i*w + 98 = -70 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4795 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*g + 4959 = -69*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 3\/2*q**2 + 1\/3*q**6 + 1 + 0*q**3 + 0*q**5 + 0*q**4 + 0*q. What is the second derivative of j(n) wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -730, -753, -774, -793, -810?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:01 AM?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round -712.623 to 0 dps.\nAnswer: -713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0342 * 0.108.\nAnswer: 0.0036936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Let x(o) be the third derivative of -2001*o**4\/8 - 39*o**2 - 36. Determine y(x(n)).\nAnswer: -72072018*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7370 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9411634\/23687 - -2\/71061. Let f = v + -56020\/141. Let h = f - 111\/47. Do -2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -0.5, -2\/7 in descending order.\nAnswer: 13, 5, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 24 + -19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c679 (base 16) to base 11.\nAnswer: 239401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 - 118. Factor 377*x - 459*x + 10 + r - 6*x**2.\nAnswer: -2*(x + 14)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2. Let o be n(1). Suppose 31 + 29 = 4*b. Let z = o + b. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 1066*n**2 + 1535*n - 1184. What is the derivative of b(u) wrt u?\nAnswer: 2132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -980 - -981. Put -26, 2\/5, t, 3\/2 in increasing order.\nAnswer: -26, 2\/5, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -608*s**4 - 2*s + 14*s**3 + 38*s**2 - 41*s**2 + 606*s**4 as j*s + l*s**2 + k*s**4 + n*s**3 + m and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14490 and 97542540?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -6\/5474425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*k = -61*k - 1707 - 1800 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(1 - -1)\/(-2). Suppose -2 = -i*n + 68. Let m be -4*1\/n + 120\/28. Which is bigger: m or 8\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 2. Let d be (6\/9 - -2) + (-3 - 1). What is the second smallest value in y, 3\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3446*y + 32 = 3462*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 4, u: 6}. Give prob of sequence zun.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 242\nAnswer: -5\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - -314.99.\nAnswer: 314.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2614 + 9726?\nAnswer: 9725.7386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3 and 38\/1815.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 18 = -2*y, 0*w - 5*w + 21 = -2*y. Solve -f = w*l + 10, 3*f - 5*l + 2 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3247 + 2863*v**4 - v**5 - 27 - 486 - 28*v**2 + 2*v**5 + 30*v**2 wrt v.\nAnswer: 60*v**2 + 68712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + p. Let v be h(-1). Let l be (0\/1)\/(22\/704*32). Which is the closest to -4? (a) l (b) v (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-103)\/((-19467)\/(-5922))*3\/(-2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -326, -961, -2154, -4091, -6958?\n\"Answer: -31*b**3 - 46*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/98 + 32\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, s: 3, k: 1, n: 3, a: 2, p: 2}. What is prob of sequence nsn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36211358 + -1.2?\nAnswer: -36211359.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203 (base 11) in base 7?\nAnswer: -15233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 5*z - 2. Let y be f(2). Let w = -7 + y. Let p be (-37 - -28)*4\/(-18). Which is the closest to 4? (a) w (b) p (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:46 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t. Let y be h(5). Let s = 2 - y. Suppose -m - s = m. Does -2\/3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (-1 - (-6)\/(-1)). Which is bigger: v or -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/1120)\/(105\/245).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-549)\/27 + 21)*(306459\/6 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 13. Let n be c(0). Let z = -8 - n. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 196\/42 + 3\/9. Solve 4*v - 4*f + 3 - 11 = 0, q*f = -4*v - 37 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 5*n - 3*n)*(-1 + 3 + 0)*(-5 + 5 - 4*n**4 - n).\nAnswer: -32*n**5 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*i - 39*i + 108*i + 14*i - 1 + 1 + 2*i + 0*i - i + 3*i + (i + 3 - 3)*(-2 - 1 + 2) + i - 3 + 3.\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgwgjclgffwg. Give prob of picking 1 w and 1 f.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-267*2\/(-9))\/((-11)\/(-66)). Suppose 6*h - 8*h + 237 = k, 3*h + k = c. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -710 divided by 355\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05617180623 to 5 decimal places.\nAnswer: 0.05617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*o - 3*o. Let u be (-2)\/(-24) - o\/(-4). Which is greater: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.80580005 + -6.805. What is j rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 1\/2*-2. Suppose -3*u - 102 = -3*p, -v*u + 37 = 2*p - 45. Suppose 3*b + 0*b - 19 = -a, -4*a - 4*b + p = 0. Solve -a*o + 30 = 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 75 - (-3 - -29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 22477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 368406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/(-45)*(-1)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:28 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.352383424 rounded to three decimal places?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 159224.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaqqbfb. Give prob of picking 1 b, 1 f, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103842 and 182044?\nAnswer: 14745564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7085 + 7169. Calculate the remainder when 167 is divided by v.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1207 + -516161?\nAnswer: -517370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15*16\/600)\/((-7)\/(98\/4))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2512 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.995571 years in months?\nAnswer: 95.946852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 - 2*j + 98. Let k be f(-11). Let v = -849 + k. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6703*h**2 + 36*h**4 + 45*h**4 + 13388*h**2 - 1 - 6691*h**2 to b*h**3 + a + f*h**4 + r*h**2 + o*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -346c (base 13) in base 15?\nAnswer: -22a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = 206 - 266. Suppose -3*w + 5*o + 3 = 0, -2*o = -q*w - 4*o + 36. Solve -2*d + 4 = -w*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 12*x - 27. Let r be l(14). Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634953907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*j**2*u**2 - 6*d**3*u - 10167*d**2*j**3*u**2 + 2*d*j**3*u - 2*d*j**2 - 3*j**3 - 1 wrt u?\nAnswer: -4*d**3*j**2 - 20334*d**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5301 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 - 8*p + 3. Suppose 2*b = 3*a + 85, -b + 3*b - 87 = a. Suppose -n = -5*n + b. Suppose 0 = -2*h + n + 3. Calculate z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+34.695\nAnswer: 30.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 44*x**2 + 4*x**2.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19182000*y**2 - 19181915*y - 85.\nAnswer: 5*(y - 1)*(3836400*y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 4) in base 16?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + o + 1. Let u(t) = 7*t**3 + t**2 - 1. Determine -2*k(z) - 2*u(z).\nAnswer: -14*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {t: 3, y: 2, w: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r - 60459*l + 60460*l + 61, 0 = 4*r - l - 34 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -20\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18935841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:26 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - a**2 + a. Let k(u) = -3*u**3 - 3*u**2 - 4*u + 7. Let o(g) = g**3 + g**2 + g - 2. Let v(j) = 2*k(j) + 7*o(j). Calculate -3*m(h) - 3*v(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6659854 to 2 decimal places.\nAnswer: 3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t - 51647 - 56030 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 321789 or 321214?\nAnswer: 321214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 12 + 17)*(-9 + 6 - 38)*(-h**2 + 0*h**2 - 2*h**2).\nAnswer: 1353*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/4 + ((-11194)\/132 - 0). Let i = -251\/3 - s. What is the common denominator of -89\/20 and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 8. Suppose 8*b - c = -2*u + 6*b, 0 = 3*u - 4*b + 1. Solve -x + u = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.138 in -2\/11, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 100229034 divided by 33409678\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.2 - 5. What is the third smallest value in 5, o, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 64. Suppose h = -n + 8. Solve -4*j - t + 20 = 0, 0 = -j - t + n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 6. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2113 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5831298 divided by 5\nAnswer: 5831298\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -702, -708, -716?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63696067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/386722 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 18. Let y be s(-7). Suppose -y*n - 4*t + 194 = 30, -5*t = -3*n + 99. Suppose -4*q + 44 = -h, 28 = 5*q - 4*h - n. Solve -5*k + 20 = -q*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212 - 0?\nAnswer: 11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**3 + 27*q**2 + 231*q + 1 wrt q?\nAnswer: -24*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:53 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -54*s - 2. Let m(z) = 21*z + 18*z - 41*z. What is m(c(v))?\nAnswer: 108*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*k + 0*k + 158208 = 0, 6 = 3*k. What are the prime factors of a?\nAnswer: 2, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2565742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49231640648692 and 0.5.\nAnswer: 49231640648692.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.95086ml in litres?\nAnswer: 0.05495086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3\/9 + 106*l**2\/9 - 448*l\/9 + 152\/3 = 0.\nAnswer: -57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -175. Let m = -147 + a. Suppose -4*q = 12, -2*q - 1941 = -m*g - 4*q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*y**(2\/19) assuming y is positive.\nAnswer: y**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(816\/352) - 33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 4*w**2 - 8*w + 4. Let i be h(4). Let v be (-29)\/i - ((-6)\/21)\/(-1). Which is the nearest to -2\/5? (a) v (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + sqrt(1539))*-2)**2.\nAnswer: -216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 at least as big as -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, n: 1, j: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = -o, 2*w - 2*o = 214. Let j = 29 - w. Let v = 75 + j. Solve -2*a + v = -z - 4, -4*z + 3*a = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 2*j - 4*w - 20, 2*j - 4*w = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -49*o**6\/30 + 7*o**5\/5 - o**4\/3 - 6*o - 9. Let k(q) be the first derivative of h(q). Solve k(i) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.39 take away -1.04?\nAnswer: -4.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/8 + -3*(-1)\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - -52. List the prime factors of x.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 3*k + 2. Suppose -3*w + 5 = -4. Let p be i(w). Let h be p\/(2 - 12\/9). What is the greatest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2*(3 - 3). Suppose -994 = 5*h - 3*v - k*v, 3*h = -5*v - 610. Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-55*f**2 - 65*f**2 + 85*f**2) + 241 - 241 - 118*f**2.\nAnswer: -83*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.5, -0.06, -3, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425107 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) - 2*sqrt(88)*-6))\/(sqrt(128)*1 - sqrt(8) - -6*sqrt(8)*-2).\nAnswer: 26*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 379*p**2 - 29*p + 592. What is the units digit of h(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 33. Suppose j + 5*m + 6 = p, 3 - 25 = -4*j + 3*m. Suppose -8*o + j*o + 208 = 3*i, -2*o = i - 66. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 456*b**2. Let s(x) = -190*x. Calculate j(s(w)).\nAnswer: 16461600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -1433 - 1150. Suppose -z = -4*g - 5*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 - 1. Let w be z(-1). Let p = w - -10. Solve 0 = p*o + 2*j - 14, j - 25 = -5*o - 4*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102735037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 0*f**2 + 12*f**2)*(-4 + f + 4)*(-2 - 1 + 2)*(-2 + 8 + 2).\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.3, -2, 0.3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565 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 y = -319 - -65. Let v = 253.95 + y. Which is the nearest to v? (a) 4 (b) 1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 9*q - 665. Solve 6*s + 8*s = -q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.57299 + 105757.42701. Let v = -105775.00065 + z. Let n = v - -17. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -624.1 - -619. Let q = 7.1 + c. Which is smaller: 42 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2378, -2326, -2274?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 177, 0 in ascending order.\nAnswer: -3, 0, 3, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 2\/7, -2\/4777 in decreasing order.\nAnswer: 2\/7, 0, -2\/4777, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:55 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92223 (base 10) to base 6.\nAnswer: 1550543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -32, -89, -200, -383, -656?\n\"Answer: -3*f**3 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k + 2*v + 1599 = 0, -1286 = -4*k + 5*v. Suppose 0 = -r + 222 + k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20164 - 7753. Calculate the highest common factor of g and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 19}. Give prob of picking 3 s.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -4 - 48)\/(-1). Let j be 14\/r - (-37)\/(-7). What is the units digit of (-39)\/j + 6\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3*(11 + -8). What is the tens digit of (-2)\/k*77 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1964 and 83\/33016.\nAnswer: 16210856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -320, 2, -3, -2 in descending order.\nAnswer: 65, 2, -2, -3, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*j = 45, -j = -2*y - 0*j + 30. Let o = 37 + -47. What is the remainder when 61 is divided by (3 + (-69)\/y)*o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v + 6. What is the units digit of i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/(-9)*(-10)\/(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17*g - 744. Calculate h(44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-54) + -2*3\/9. Let o be (-1)\/(-3) - (-4)\/(-6). Sort y, o, -2\/15 in descending order.\nAnswer: y, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c**(-2))\/(c\/(c*c*c**4*c)*(c*c**(-3)*c*c)\/c))\/((c**(1\/4))**42)**(-36) assuming c is positive.\nAnswer: c**383","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/6*26\/(-91))\/(243\/(-189)). Factor 5\/3 + g*n**3 + n**2 - 3*n.\nAnswer: (n - 1)**2*(n + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34742463337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 9072460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-16)\/(-6)))\/(28*(-40)\/(-13440)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11441204 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 6*u**2 - 3*u**2 - 29*u**3 + 9*u - u**2 + 233*u**3 to the form d*u + f*u**3 + h*u**2 + i and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 a when three letters picked without replacement from {r: 1, a: 3, f: 1, z: 4, q: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let l(j) = -j**2 - 5*j - 3. Let s be l(-5). Let u(r) be the third derivative of -r**4\/24 - 10192*r**2. Give s*t(w) - 2*u(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2890*l**3 + 1542*l**3 + 1336*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)*-1)\/sqrt(10))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23569\/41 + 575. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzzd when four letters picked without replacement from {z: 3, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a - 37. Suppose 41 = 52*y - 167. What is v(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 10 - 4. Let r(z) be the second derivative of -2*z - 7\/6*z**4 - 5\/3*z**3 + 0 + 2*z**a. Factor r(j).\nAnswer: -2*(j + 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -1.38?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864642 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -211*w + 1. Let k(f) = 1429665*f. What is k(s(t))?\nAnswer: -301659315*t + 1429665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8*h)\/(h*h\/h**(-10)))\/(h**33*h*h\/((h**(13\/4)\/h)\/h)) assuming h is positive.\nAnswer: h**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and -49286?\nAnswer: -6012892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3173 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14416, -28813, -43190, -57547?\n\"Answer: 10*v**2 - 14427*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4014 + -140464\/35. Find the common denominator of 1\/8 and d.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*q**3 - q**2 + 240*q - 3*q**3 - 239*q)*(2 - 2 - 4).\nAnswer: 12*q**3 + 4*q**2 - 4*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7207195 is divided by 67.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49842452.\nAnswer: 2, 11, 1132783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:27 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*w - 397, -g + 3*w + 131 = 5*w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = z + 1058, -2*w + 3*z + z + 1064 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 + 29*g**3 + 222*g**2 + 140*g - 392 = 0 for g.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z - 12. Let p(u) = 8*u + 7. Let x(v) = -23*v - 22. Let c(t) = 11*p(t) + 4*x(t). Let o(m) = -4*c(m) + 3*n(m). What is the tens digit of o(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 201 (b) -1.1 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = -2*c - q, 1 = 3*c + 5*q. Do -4 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52920 divided by 210.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60955?\nAnswer: 5, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/88)\/((-93)\/(-372)). Let u = -5.9 - -6. Which is the nearest to u? (a) -1 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 6*v - 543. Factor 80*h - v - 9*h**2 - 10*h**2 + 14*h**2 - 7*h**2.\nAnswer: -4*(h - 6)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -18*z - 300. Let x(m) = -51*m - 599. What is 7*d(q) - 3*x(q)?\nAnswer: 27*q - 303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*-4*(sqrt(847) + (sqrt(847)*2 - sqrt(847))) - ((sqrt(847) + 2 + 1 - sqrt(847)) + -3 + 1))**2.\nAnswer: -352*sqrt(7) + 216833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 4*n**2 + 8*n. Let t(r) = 5*r**3 + 16*r**2 - 33*r - 1. Let v(y) = 9*s(y) + 2*t(y). Calculate the remainder when 86 is divided by v(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/31689169 and 67\/44?\nAnswer: 1394323436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b20b00b + -9?\nAnswer: 3b20b002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + g**3 + 3*g**3)*(-1 + 1 - 5).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 47.32\nAnswer: 378.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4658 - 2629. Let l = u - 968. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f9 (base 16) to base 15\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1365 + -67?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:47 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**4\/12 + 4*q**3\/3 - q**2 + q. Suppose t = -5 + 9. Let r be u(t). Solve 3*i - r = 2*p, 4*p + 0*i - 3*i = -22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2903, -2879, -2855?\n\"Answer: 24*w - 2927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 86\/11*c**2 + 434\/11*c + 196\/11 + 4\/11*c**3 = 0. Calculate c.\nAnswer: -14, -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let t be g(-3). What are the prime factors of (-63)\/28*(-32)\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -9, -11?\n\"Answer: -2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(-1)*-6. Suppose i*r - 3 = 5. Solve h = -r*w + 4 - 1, 5*h - w = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2\/7 + 9082*k\/7 + 39180 = 0.\nAnswer: -30, 4571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, -4, 90, -1, 11747?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*d - 93324 = -985*d - 529*d for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 6:37 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 - -0.14. Which is the biggest value? (a) -0.5 (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 + 4*s - 4*s)*(0 - 5 - 5*s + 1) - s + s - 3*s**3 + (-3 - s + 3)*(-s**2 + 0*s**2 + 0*s**2) to l*s + q*s**3 + o*s**2 + a and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j - 2*j - j**2 + 2*j**2 - 7. Let p be q(-5). Suppose 0 = -p*y - 2*y + 4*n + 236, 0 = -4*y + 4*n + 192. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2438816448 + 5?\nAnswer: 2438816454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70\/87 - -4\/29. What is the closest to -27 in -4, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60947337 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -5 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = 131950 - 34290. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1026*m**3 - 11*m**2 - 29. Let k(j) = -513*j**3 + 6*j**2 + 16. Calculate 11*k(q) + 6*t(q).\nAnswer: 513*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 261*m**2. Let h(y) = 11*y**2 + 14*y. Let r(u) = 3*u**2 + 4*u. Let s(n) = 2*h(n) - 7*r(n). Give s(w(t)).\nAnswer: 68121*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.27648514 rounded to one dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 419070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 94. Suppose -121 = -6*o + x. Solve -4*t = -4*v - o, 5*t - 29 = -0*v + 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 2*l**2 - l + 2. Let p be 4\/6*(-246)\/(-82). Calculate z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 23*n = -500. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4 + 0 - 1 + 6. Let l(s) = -s - 3 + 0*s**2 + 0*s**2 + s**2. Give -l(o) - 3*q(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {n: 5, r: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39745*q + 19800*q - 8700*q.\nAnswer: 50845*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -22. Let i(l) = l**2 - 4*l - 5. Let b be i(4). Let d(a) = -a - 1. Let w be d(b). What is the greatest common factor of w and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 869*v**2 + 90*v + 299. Is 16 a factor of d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1260 and (-115)\/((-885500)\/7161) + (1 - (-3)\/(-2))?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36722 < 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14900 by 3725.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 17. Let r be (6 + j)*7\/2. Solve 4*k + 34 - r = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 108\/81*(-582)\/352 and -85\/276?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 755751549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375 - 2*s + 0*s - 216 - 159.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 3*f**2 + 2*f - 7. Determine h(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (79\/(-4))\/((-19)\/304). Suppose 0 = 9*k + 172 - b. Solve -4 = 3*y - k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3551056)\/(-48) - (26\/6 - 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 7614, -2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 2*z + 8 = -3*d, 5*d = 3*z - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1625767 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - q + 1. Let i be h(1). Let j(d) = 2*d**2 - 31*d + 11. Let r(k) = -k**2 + 26*k - 9. Let y(t) = 5*j(t) + 6*r(t). What is y(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-2)\/(-8)). Let g be (-3 - (-62)\/10)\/(6\/15). List the prime factors of (u - 4)*(-76)\/g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11088972122 - 0.11089. What is s rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7517, -15050, -22591, -30146, -37721?\n\"Answer: -g**3 + 2*g**2 - 7532*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 657052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.5 = -36933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*g + 10, -2 = 2*f - 5*g - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(9 + 61840\/(-6872)). Let n = p + 855. Let i(g) = 19*g**3 + 13*g + 9. Let c(w) = -9*w**3 - 6*w - 4. Calculate n*i(l) - 9*c(l).\nAnswer: 5*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 139*d**2 - 267*d + 957. What is c(-137)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 45, 5 in descending order.\nAnswer: 45, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -7132.8 (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -6115, -2\/3, 4.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = 4*o, 37*o + 1 = -4*m + 34*o. Let x be (-17)\/5 + (-2)\/(-5). Let k(u) = u**3 - 3*u + 3. Let v(w) = w**3 - 2*w + 2. Determine m*k(q) + x*v(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (40196\/20)\/(13\/65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 4*o + 6*o)*(-1 + 2*o**3 + 1) + (4 - 3*o - 4)*(48*o**3 - 21*o**3 - 29*o**3).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 294*m + 10624.\nAnswer: 2*(m - 83)*(m - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(2160)*-6)\/(sqrt(48)\/(sqrt(4) + sqrt(16)\/sqrt(4) + sqrt(4))))**2*4.\nAnswer: -699840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 4*g, 2*f + 1 = 2*g - 1. Suppose -p - 1 = -2*z - 2*p, 5*z = 3*p + 8. Let m = 6 - z. Solve -m*c - 2*y = -28, f*y - 4 = -3*c + 2*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 4*h + 80 = -3*r, -r = 2*h + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Suppose 1 = -c + 2*c. Let z be c + (-4)\/(-8)*40. Let d(a) = -32*a**2 - 25*a**2 - z*a**2. Determine d(p(b)).\nAnswer: -78*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 909 (b) 0.3 (c) 3\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + -33?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from ooooeooooooooom?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/2 - 127*i\/2 - 476 = 0.\nAnswer: -119, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-7\/3)*s*s*s**(-2\/51)*s assuming s is positive.\nAnswer: s**(107\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110\/4673 - 66317\/6986135. Is -1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 13)*66\/99. Let c(s) = 3*s - 6*s + 4*s + 11. Let o be c(x). Solve r = -2*r - o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 4*z + 11. Let g be t(9). Suppose -f - f = -g. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1 - (-3)\/6). Let z(l) = -3*l - 3. Let w be z(h). Suppose 0 = -5*n - 1 + 26. Solve -8*b = -n*b + w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3600*p**3 + 2647*p**2 - 2*p - 17802407 wrt p.\nAnswer: -10800*p**2 + 5294*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1155, 0.5, 8, -3\/4 in decreasing order.\nAnswer: 8, 0.5, -2\/1155, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -986\/5, -3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*y - 9285*y + 280*y - 72888 = 4519*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*p**3 - 2301*g*p + 48*g - 35 wrt p?\nAnswer: -6*g*p**2 - 2301*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let y = 1523 + -19819\/13. Let v = 152\/65 + y. Is v greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.14 or -194089?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*-1*sqrt(288) + (sqrt(288) - sqrt(288)*1*-2))\/(sqrt(36)\/((-2*sqrt(36))\/sqrt(6))).\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**5 + 1154*f**4 + 51*f**2 - 9227536*f wrt f?\nAnswer: -100*f**3 + 13848*f**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = 0, 6*q - 3*c - 29095 = -29152 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 68\/5 (b) -81 (c) 2\/7 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2689 and 252.\nAnswer: 251.7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344024 (base 5) to base 15.\nAnswer: 3a0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21396100 rounded to the nearest 10000?\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78)*1)\/sqrt(6) - (6*(-2*sqrt(13) - sqrt(13)))**2) + 2 - (4*(5 + sqrt(13)) - sqrt(104)\/sqrt(8)*-2)) + -2.\nAnswer: -4232 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6*p - 4 = -5*p, 21 = -5*q - 4*p. Calculate the common denominator of 56\/51 and q\/(-6)*2*130\/60.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 1, r = -r + 4*y + 14. Is 5 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2787 - 0.0213. Let u(p) = -p - 1. Let r be u(0). Which is the second smallest value? (a) g (b) r (c) 1\/8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/20 + 11*y**4\/24 + 525*y**2. Let i(z) = -z + 5*z - z + z**2. Give -22*i(q) + 6*j(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a0d (base 14) in base 6?\nAnswer: 13045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -25. Suppose z*r + 4*r = 0. Solve 0 = 2*n + 4 - r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*n + 18 = 7*f, 4*n = 4*f. What is x in -2\/3*x + 1\/3*x**2 + x**f + 0 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -212 + 227. Let c(n) = -6*n - 7. Let f be c(-2). Calculate the greatest common factor of f and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 9432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - v**2 - v - 1. Let d be j(-1). Suppose 4*l - l - 12 = 0. Suppose r = l*r. Solve r = -2*h - d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 39437?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, i: 2, w: 4}. What is prob of picking 3 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 8051*s**2 - 40304*s - 193344.\nAnswer: (s - 8)*(s + 3)*(s + 8056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5186 - 3513. Let b = l - -356. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/((g\/(g\/g**(-1)))\/g))\/g)\/g*g)**31)**(-2\/37)*g\/(g**(2\/9)*g)*g**(-2\/7)\/g*g*(g*g\/(g*g*g**(2\/5)*g)*g*g)\/(g*g*g**(-1\/8)) assuming g is positive.\nAnswer: g**(-478721\/93240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1762 - 2*g**3 + 1762.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9037ea + -3?\nAnswer: 9037e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149\/3 - (-32)\/24.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160031655?\nAnswer: 5, 41, 79, 83, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 8*f - 4. Let q be c(-4). Let s = q - 10. Calculate the greatest common factor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26700 and 600?\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1496 - -1503. Let l(h) = h**2 + 5*h. Let x = 14 + -9. Let u(a) = -2*a**2 - 7*a. What is r*l(k) + x*u(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 18*b. Let j(w) = 3*w**2. Determine r(j(h)).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1143*f**2 - 794*f**2 + f - 5083*f**2 + 14202*f**2 to g*f**2 + d*f + b and give g.\nAnswer: 7182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -9*d + 4. Solve -2*y = 2*y - d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2006\nAnswer: -5\/2006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2\/197, -5, -1\/4?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 7*v**2 + 6*v - 22. What is b(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0 + 8*o**2 - 3*o**3 + 1 + 10*o + 2*o**3. Let c be m(9). Let n be (-1)\/(-3 + c\/4). Let v(a) = a**3 - 2*a**2 - 1. What is v(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48dd05 + 39?\nAnswer: 48dd3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*f**4 - 2*f**2*p**2 + 29*f*p**2 - 25*p**2 wrt f.\nAnswer: -240*f**2 - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(4*i - 4*i + 2*i) + (3*i + i - 6*i)*(-6*i - 15*i + 4*i) - 3*i**2 + 3*i**2 - i**2 + 0*i**2 - 2*i**2 - 4*i**2.\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2026 by -1.\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, t: 2, i: 3, o: 3, c: 1}. Give prob of picking 1 c and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/4 + -1 + (10 - 5)*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1807 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/6 - 2*d**2 + 4*d. Let p = -7 - -15. Suppose -1 - p = -3*b. Let s(y) = -2*y**2 + 3. Determine b*u(l) + 4*s(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-6)\/j))**33*j**9*j\/(j*(j**(-10)\/j)\/j) assuming j is positive.\nAnswer: j**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 317 - 281. What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4557123 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 - -341. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040*v**2 + 86325*v + 415 = 0. What is v?\nAnswer: -83, -1\/208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.08858 centuries to decades.\nAnswer: 280.8858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(535 - 55*n + 531 - 1066) to the form k*n + g and give k.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30193 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 251 = 247 - 770. Let l = -3 + 19. Suppose -y = -f - l. Solve a = 5*x - 0*a - 16, -4*x - 4*a + y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/z**(5\/3)*z**(-11)*z*z**14 assuming z is positive.\nAnswer: z**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (4 - (-7 - 3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 + -363. Suppose -2*d - 3*o = -27, -i*d = -10*d + 2*o - 11. Calculate the remainder when (-5)\/(1\/(-12)*1) is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 9, 11, 13, 15, 17?\n\"Answer: 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 138. Let z be u(-23). Let q(g) = g**3 - 5*g**2 - 10*g - 4. Let l be q(9). What is the greatest common divisor of z and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(135\/(-33) + 4). Let a(k) = -k**2 - 17*k + 33. Let t(s) = s**3 - 6*s**2 + 3*s + 9. What is the remainder when a(r) is divided by t(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/8*-5*(-4)\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-1)*(-4 - -1920 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 11*m - 6. Let p be s(-2). Let o be 3\/(-12) + 290\/8. What is the highest common divisor of o and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 443\/3 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1242240420?\nAnswer: 1242240414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 30745.9121.\nAnswer: -12298.36484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1*(2 + -1)). Suppose -w - 92 = -3*w + 5*q, -4*w - 4*q = -128. Suppose w = -g*t + 3*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 126. Let a(c) = -2*c**2 + 13*c - 9. Let x be a(8). Let g = x - h. Solve z + 22 = 5*o, 0 = -3*z + 5*o + 17 - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/5)\/((-12)\/20). Let r be (-2 + 2)\/(0 + -2). Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 4\/(16\/(-11484)). What is the tens digit of q\/(-55) - 8\/44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24592 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 6*h - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 43707?\nAnswer: 2403885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -r. Suppose r = -2*k + 9. Let o(y) = y**2 + 3*y - 23. Let m be o(-7). Solve -6*x = 3*d - 2*x - m, d - x = -k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*n - 4, 5*p - 22 = -10*n + 7*n. What is the least common multiple of 326 and n?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -3 (c) -1\/47 (d) -12\/11 (e) -2\/7 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 526553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 173\/5 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 25*l**2 + 10*l + 10. Let d(p) = p**2 + p - 13. What is the remainder when f(-2) is divided by d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q**(-5))\/((q**(3\/7)*q)\/q**(-4\/11))*((q*q**(2\/5)*q)\/q**(-2\/3))\/(q**(1\/10)*q\/((((q\/(q*q**(-3)*q))\/q)\/q)\/q*q)*q) assuming q is positive.\nAnswer: q**(-13457\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48160 divided by 1204\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + u + 5 = 0, 4*o + 14*u = 12*u - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60)*-2)\/((sqrt(192)*-1 - sqrt(192)) + sqrt(192)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 100278?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*c + 3*y - 6, 0 = -5*c - 4*y + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 118823\/218481*(-6)\/(-155)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 3 + 2*q - 1)*((q - 3*q + q)*(0 + 4 - 1) - 10*q + 0*q + 0*q).\nAnswer: -26*q**2 - 143*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from omomomooooommmmmmom.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/((w*(w*w\/(w*(w*w\/(w\/(w**(2\/41)\/w)))\/w*w)*w)\/w)\/w)))\/w)\/w)\/w*w*w**(1\/24))**(-31) assuming w is positive.\nAnswer: w**(30721\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gss when three letters picked without replacement from {s: 1, r: 7, c: 2, g: 1, a: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-10) - 14\/35. Solve w = -3*m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2860 - 2841. Solve 24*i = -29 - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**2 + 1. Let r be u(-1). Let s be (6*r\/20)\/(2\/(-10)). Suppose -982 = 7*y - s*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1139 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2993223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y)\/(y*y\/y**(-4\/9)))\/(y*(y\/y**2)\/y*((((y**0\/y)\/y)\/y)\/y)\/y)*(y**(-2\/5)*y*y*y)**(10\/3)\/(y\/(y*y**(1\/3)))**(14\/3) assuming y is positive.\nAnswer: y**(109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:03 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -63, -6, -475 in descending order.\nAnswer: -4, -6, -17, -63, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253532 is divided by 830?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*z**2 - 72*z**2 + 37*z**2 - 53*z**2 as n*z**2 + v + l*z and give n.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-11) - (-72)\/(-154)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 38212218639 + 19295\nAnswer: 38212237934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/492028 and 39\/492028.\nAnswer: 492028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -19, -28, -51, -94, -163, -264, -403?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**3 + 23*i**2 + 13*i - 4. Let x be (3*(-2)\/5)\/(24\/180). Let y be o(x). Does 10 divide 1\/(6\/4) - y\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*4 + sqrt(84))*-6*1)\/(2*sqrt(12)*-2 - (sqrt(12) - 5*sqrt(12)*-1)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4779 - -3.5221. Let v = 52 + -261\/5. Which is the fourth biggest value? (a) v (b) u (c) -0.5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/2 - 2115*g**4\/2 - 8483*g**3 - 19099*g**2 - 33963*g\/2 - 10615\/2 = 0.\nAnswer: -5, -1, 2123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.465 and 0.19.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1442043 (base 5) to base 8.\nAnswer: 74262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 40 = -155. Let i = s + 28. Suppose 3*x + 76 = i*j + 472, 0 = -3*x - 3*j + 420. What is the remainder when x is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y = -293446 + 291718 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (-5 - -12) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.57 in -4\/63, 0.4, 62?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.120130938 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -576, -339, -114, 93, 276?\n\"Answer: -q**3 + 244*q - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5723*r - 31 = 5726*r - t, 0 = -r - 4*r + 61*t + 67 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14493403*k**3 - 29021576?\nAnswer: 43480209*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*o**2 + 220*o - 623*o - 243*o - 338*o**2 wrt o.\nAnswer: -754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*b - 129 + 220, -4*b = a - 85. Is a at most -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 47 = 5*f, -4*q + 8*q + 2*f - 34 = 0. Sort 5, -3, -4, q in increasing order.\nAnswer: -4, -3, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-14))\/(1*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19231 - -19895. Calculate the remainder when k is divided by 132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {l: 3, b: 1, d: 3, c: 2, z: 2, g: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289*m + 125.\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 4*u - 2*n - 5, 3*u - 3 = -3*n. Solve u*i = 2*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, 72, 267, 590, 1083?\n\"Answer: 7*h**3 + h**2 + 57*h - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -0.1, 1\/2, 0.4, 111?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/((p\/(p*(((p*p\/(p\/p**(-6))*p)\/p)\/p)\/p*p))\/p))\/(p\/p**(-1)*p)**(-6) assuming p is positive.\nAnswer: p**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -37*k**5\/30 - 205*k**3\/6 + 519*k**2. What is the first derivative of t(x) wrt x?\nAnswer: -148*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 5, -5, 1\/2, -3161, 0.2 in ascending order.\nAnswer: -3161, -5, -5\/3, 0.2, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 103. Let t(j) = -j + 14. Calculate t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*b - 101*b + 3*p - 2 = 0, -5*b = -5*p + 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.582 - -70.418. Is -0.1 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 17*y + 1. Determine o(11).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbkb when four letters picked without replacement from jbbccjkkcbdkckkck.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 183?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18 - (-5 + 25) - -11. Calculate the highest common divisor of 20637 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**3 + 80*t**2 - 29*t - 22. What is p(13)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2544 is divided by 445?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 32) + (-352)\/(-60)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)\/g*g**(2\/7)*g)\/((g\/(g\/g**(-2\/3)))\/(g**7*g)))\/((((g**(4\/3)*g)\/g)\/(g\/g**(-7)*g))\/(g**(1\/6)*g\/(g\/g**(-2\/19)*g))) assuming g is positive.\nAnswer: g**(2152\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49404357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - 146.3. Let v = 4.04 - 0.04. What is the closest to b in -1, 2\/13, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((-15 - -20) + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from {h: 3, c: 7, e: 1, v: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - l - 5, -x = -2*l. Let y be 1*4*(-2)\/(-4). Let q(m) = -3*m**3 + m - 2*m - 2*m**y + 2*m**3 + 0*m. Determine q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i - 130*i = 92 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/(-93))\/(2\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 88, 17\/3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -269 (base 13) to base 12\nAnswer: -2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/39*(1213 + -1215)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 467 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 0, 2\/3, 0.057, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21580, -78857, -171832, -300505?\nAnswer: -464876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*o + 7*o - 12*o)*(10 + 5 - 7)*(-2*o + 4*o + 4*o).\nAnswer: -1392*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-12)\/((g**10\/g*g)\/g)*(g\/g**0)\/g*g\/g**(7\/6) assuming g is positive.\nAnswer: g**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*r - 23 = -2*h, 3*h - 3*r + 3 = 0. Solve 5*i - 11 - 14 = h*u, 4*u - 2*i + 10 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 163*g**2 - 13*g - 22. Suppose -u + 7 = -3*l + 5*l, -3*u + 2*l = 19. Does 20 divide j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/7)*h*h**(-5)*(((h\/(h*h**1))\/h)\/h)\/h**(-5\/2) assuming h is positive.\nAnswer: h**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 4)*(-3*w - 327 + 327)*(3*w + w - 6*w)*(3 + 2 - 6) as l*w + d*w**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 5*n - 1. Let z be h(-4). Suppose -y = -z*y + 86. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1782 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2566 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -75*l + 135 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a4 - 3?\nAnswer: -12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 508128*i**3*o**2 - 352075*i**3*o wrt o?\nAnswer: 1016256*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v + v - v**3 + 3*v**2 + 24 - 25 - 2*v**2. Calculate l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijj when three letters picked without replacement from qjiqj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a factor of 46017996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q - 55 + q**2 - 15 + 3 - 15 wrt q?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*l + h, -5*l - 5*h + 4 = -226. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from gwwgwwgwwwww?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*d + 2 + 4)*(-6*d + 6*d - 2*d).\nAnswer: -4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a - 32 = 0. Let c be ((-4)\/a)\/((-2)\/24). Is c\/(-6) - 3*-1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) 29 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 4687 + 4692 + 4688 - 14067.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -67606 divided by -22\nAnswer: 3073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -28. Let a(b) = 3*b**3 - 3*b + 0 - 9 - 2 - 4*b**3 - 8*b**2. Is a(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/(2\/(-3)). Suppose 2*k - 4*k - 32 = 0. Let y = 18 + k. Solve h = -c - y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6082.7 + 6083. Sort -3\/4, j, -2\/7 in ascending order.\nAnswer: -3\/4, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.57212101 less than -3?\nAnswer: 7.57212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2274254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927815 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 224359, 224358, 224357, 224356, 224355, 224354?\n\"Answer: -i + 224360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1411.999997138 + 1412. What is f rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**4 - n**3 + n**2 - n. Let p(z) = -4*z**5 + 20*z**4 - 2*z**3 - 35*z**2 - 7*z. Let i(j) = 5*g(j) + 5*p(j). Solve i(q) = 0.\nAnswer: -1, -1\/4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -b38?\nAnswer: b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 - 1000*b**2 + 1000*b**2 + 8*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/((-4)\/(-5)))\/(-4))\/((-150)\/400).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l - 10. Give p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = -32*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Let t(j) = j**3 - 4*j**2 + 4*j - 4. What are the prime factors of t(x)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 - 22 = 23*m. Suppose -4*v - m*r + 18*r + 1404 = 0, 5*v + r - 1779 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14678 is divided by 2094?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6259796, 6259857, 6259918?\n\"Answer: 61*v + 6259735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*j - 39305592 + 94296271 = 0, 13747671 = -t - 2*j. Let s be (-4)\/(-18) - t\/9. Let m = -807519 + s. What is m rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 11, j: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, -0.5, 1\/2, 412, 2\/7 in ascending order.\nAnswer: -0.5, 2\/7, 1\/2, 2, 3, 4, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/((-160)\/364)*-382.\nAnswer: 7, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130901 is divided by 1356.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c**(-3)\/c*(c\/(((c\/((c**(1\/2)\/c*c)\/c))\/c)\/c))**(9\/2))**(-3\/14) assuming c is positive.\nAnswer: c**(-9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (15 + -3 + 0) - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -410*h**2 + 3*h - 2. Let d be m(1). Let v = 708 + d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 - (5 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3165 (base 7) in base 16?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54437521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 5, -1698?\nAnswer: -1698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 3. Let n be q(-8). Suppose 0*l + 4161 = n*l. List the prime factors of l.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 11 (b) 52 (c) 0.4 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - (-2 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 8. Let l be t(-6). Let c be (-1)\/((l + -1)\/51). What is the greatest common factor of c and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 1 + 7*n**2 - 2 + n**3 - 2. Let b be g(-5). Suppose 3*q - b = 149. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -22547726?\nAnswer: 22547733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3*v + 11 = -2*m, 2*m = 5*v + 29 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 39 - 11. What is the third derivative of 7*s - o*s - s**5 + s**2 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385750 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1785\/2 - 918. Let a = 26 + o. What is the closest to a in -0.5, -2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*u**3 - 15*u**3 - 18*u**3 + (0 - 2 - 1)*(82*u - 82*u - 25*u**3) + 3*u**3 + 0*u**3 - 5*u**3 to x*u**3 + c*u**2 + w*u + i and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 3*w + 0*w. Let x(a) be the third derivative of 0*a + 9*a**2 + 0 + 0*a**4 + 1\/60*a**5 + 0*a**3. What is x(u(l))?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-2792696)\/13 + -1. Let x = f + 46626773\/234. Let t = -15558 - x. What is the common denominator of t and -107\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26101 and 5762.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 4\/5*n**5 + 0*n**2 + 41\/6*n**3 + 1\/12*n**4 + 1\/10*n**6 - 52*n + 0. What is the third derivative of f(d) wrt d?\nAnswer: 72*d + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 - 5. Let v = 4.3 - d. Which is the third smallest value? (a) v (b) -0.1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 v when three letters picked without replacement from {w: 2, v: 1, o: 1, t: 1, a: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 162 = 0. Calculate the remainder when 47 is divided by s\/36*32\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 - 17*f + 41*f - 8*f - 204 + 45 - 14*f.\nAnswer: 2*f + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1\/8, -1\/27?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15103547 + 952453 = -9*h. What is h rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m + 69*m = 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m = 4*y + 4, 0 = 5*m - 5*y - 5. Let v(w) = w + 11. Let s be v(m). Is 2 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3519\/(-1242)*408\/238*(-28)\/(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83579 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.5954 meters in kilometers?\nAnswer: 0.9465954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*u + 8, 4*u + 3*p - 2*p = 4. Suppose 0 = u*d - 10 - 0. Sort -17, 2, d, -4 in decreasing order.\nAnswer: d, 2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (20 + -8)\/(6\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*l + 99*l + 59*l)*(2401 - 2401 + 396*l - 93*l) as w + y*l**2 + q*l and give y.\nAnswer: 35148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29017, 29010, 29089, 29296, 29673, 30262, 31105?\n\"Answer: 7*h**3 + h**2 - 59*h + 29068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401372108 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35975292*d**5 - 2*d**2*o - 292*d*o + 242*d - 181*o wrt d?\nAnswer: 719505840*d**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10358066 by 609298.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.137607 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccccuuccccc. Give prob of picking 2 u.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987666 is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*c - 97*c + 249*c in the form o + t*c and give t.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 3*v**2 + v + 1. Let j(q) = 3*q**3 + 7*q**2 + 2*q + 3. Let w(o) = 5*b(o) - 2*j(o). Determine y so that w(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.9645 years to centuries.\nAnswer: 0.179645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j = 15*j + 5880. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - -0.76. Let u = v - 0.2. Let i = 1 + -1.2. Which is the second biggest value? (a) u (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x - 20. Let b be t(-5). Suppose 175 = j + 2*o, 2*o - b = -3*o. Suppose 0 = r + 45 - j. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = x + 1, 0 = -4*x - 4*c + 9*c + 2. Suppose 2*s - 5*r + 37 = 6*s, -2*s = x*r - 19. What is the greatest common factor of s and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 = -2*g, -8*g + 3*g - 5*m + 35 = 0. Suppose -g*k + 1464 - 2 = 2*q, 3*q + 12 = 0. Let o = -316 + k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 6. Are r and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.85758 kilograms to tonnes.\nAnswer: 0.00085758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -18*q + 41 - 50 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3 + 18*s**2 - 19*s**2 - s - 2. Let l(n) = -5*n**2 - 3*n + 2. Give -3*b(t) + l(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2961 + 645 = -4*o. Suppose 3*y = -4*r + o, -4*r + 0*y = 2*y - 574. What are the prime factors of r?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3\/8, -7\/4, -11\/189, -2\/3 in increasing order.\nAnswer: -7\/4, -2\/3, -3\/8, -11\/189, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/63457 and -31\/34.\nAnswer: 2157538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 2*a**2 - 4*a**2 + 1 - 1 + a**2 + 2*a**2 + 4*a - 4*a + (-6*a + 2*a + 3*a)*(2 - 2 - 2*a) - a**2 + a**2 + a**2 + 4*a**2 + a**2 - 2*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a factor of 8815815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1614?\nAnswer: 4842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:24 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -708 - 48 - 2*k**2 + 1378 + 2131 to the form j + p*k**2 + w*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -947 - -967. Calculate the remainder when 118 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -761 + 746. Sort -3, c, 4.\nAnswer: c, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.730844 to two dps.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 0 + 5 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1639.3 + -1641.3. Let l = 27.2 - 27. Put 1\/99, 0.5, l, y in decreasing order.\nAnswer: 0.5, l, 1\/99, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/7 - 403*c**3\/7 - 12167*c**2\/7 + 18952*c\/7 - 912 = 0.\nAnswer: -28, 1\/2, 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -111, 3, 5, -1409 in ascending order.\nAnswer: -1409, -111, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1207120 and 8848.\nAnswer: 8449840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 761 - -139. Let j(h) = h**2 + 900 - n - 7*h**3. Give j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 8. Let q(z) = 2*z - 25. Let s(k) = 3*q(k) + 8*u(k). Give s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1860?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-110))\/((-18)\/189 - (-10)\/56)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2027*q - 3*m - 13 = 2025*q, q - 17 = 12*m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) -0.5 (c) 23 (d) 0.129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1132467m?\nAnswer: 113.2467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13151581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/15 + -5 - -6. Let a(k) be the third derivative of 1\/12*k**4 + t + 0*k + 6*k**3 + 19*k**2. Differentiate a(z) with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*g - 13 + 5, 0 = -4*g + 6*w - 16. Let y = -13.7 - -14. Which is the closest to 2\/7? (a) -0.7 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.167864449 rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 17*x + 15. Let w(k) = -k**3 - 6*k**2 - 7*k + 1. Let o be w(-5). Is v(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23179*n + 24746*n - 36120*n to i*n + k and give i.\nAnswer: 11805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 3 + (1 - 0) + -431 + 429.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -6.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -29*-2.7\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 96 = -4*l, 8 = 11*f - 9*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -9*f**2 + 4*f + 7. Let a(k) = 41*k**2 - 22*k - 36. Let b(r) = -4*a(r) - 22*s(r). Let g(x) = 11*x**2 - 3. Give 3*b(i) - 10*g(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(-5*q - 8*q + 5*q) + 2*q + 2*q - 3*q to v*q + y and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 12. What is the remainder when 53*(2 + (0 - b)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10141 + -10143. Which is the biggest value? (a) 5 (b) j (c) -0.2 (d) -2\/5 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(117) + (sqrt(117) + 2 + -3 - sqrt(117)) - (5 + -1 + sqrt(117) - -2*(sqrt(117) - sqrt(117)*2))**2.\nAnswer: -137 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*sqrt(72) + 2)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 2}. What is prob of picking 1 b and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -666, -1328, -1988, -2646, -3302, -3956?\nAnswer: -4608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.251 - 0.3. Which is bigger: o or -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3101072*-128\nAnswer: 396937216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(17) - (sqrt(1700)*-3 + sqrt(17)) - sqrt(17)) + sqrt(68)*-1 + sqrt(272) + -1.\nAnswer: -143*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44338, -88703, -133046, -177367, -221666, -265943, -310198?\nAnswer: -354431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:43 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1551 = -4*b + 1057. Suppose 14*u + b = 18*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46878.59 centuries?\nAnswer: 4687859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + ((sqrt(1100) + 1)**2 + sqrt(1100))*-5))*3 - ((sqrt(1100) + 1)*5 - (sqrt(1100)*-2 + sqrt(1100) + 5)).\nAnswer: 390*sqrt(11) + 16515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/140 + (-3)\/21\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9151\/8 + -1142. Let i(b) = 73*b - 12. Let o be i(-16). Calculate the common denominator of j and ((-2)\/(-4))\/((-220)\/o).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649303 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 8*(-8 + 7)*-2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704\/117353 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/9, 0, 2\/13, -0.7, 0.047, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.053174 * 3\nAnswer: -0.159522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Let h = 171 + -167. What is the smallest value in 0.5, p, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 279*(2\/4 - (-20)\/24). Let w = 652 - m. Let n = 82 - 35. Calculate the remainder when w is divided by n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 = 13. Find the third derivative of -5*y**6 + 25*y**2 - y**3 + y**3 + 6*y**6 - 28*y**s wrt y.\nAnswer: 120*y**3 - 1680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2303*l - 2293*l - 2539010 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeuueyeuuye. Give prob of sequence eeye.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3758443 - -3758445. Let q = 162\/55 + -28\/11. Solve 0 - 1\/5*w**c + q*w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 145772.\nAnswer: 583088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*k + 3*v, 0 = 3*k + 2*v + 2 + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/445 and 49\/200?\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/2 + (-88)\/(-40). Which is the closest to -2.1? (a) 3 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4357, -17443, -39259, -69805, -109081, -157087?\n\"Answer: -4365*n**2 + 9*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7687 (base 12) in base 9?\nAnswer: -18824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -269, -246, -201, -128, -21, 126, 319?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1662 and -25\/889447.\nAnswer: 5336682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**5*n - 192*c**4*k*n**2 - 26*c*k + k*n**2 - 13*k*n wrt c?\nAnswer: 120*c**3*n - 2304*c**2*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:42 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 - 1) + -38 + 42 + -24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Let w = 41 - 25. Suppose 46 = 18*q - w*q. Solve -v*f = -3*x + 2*x + q, -x - 3*f = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 15\/10 - (-198)\/4. Let a = m - 47. Solve a*b + 8 = w, -2*w + 14 = w + b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/60 - 2*q**3\/3 + 987*q**2. Let k(y) = 2*y**2. Determine k(j(b)).\nAnswer: 2*b**4 - 16*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6974)\/(-14) - 6\/420*10. Suppose -3*m = -159 - w. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 35*c**2 + 26*c + 45. Differentiate v(a) with respect to a.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. What is the derivative of 4 + o*l**2 - 1 - 6 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 3*o + 93. Let j(t) = -6*t**3 + 9*t - 278. Give -3*j(v) - 8*l(v).\nAnswer: 2*v**3 - 3*v + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/18*-3*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -7. Let r = d + 3. Let k = -58.2978 - -57.8978. Sort -1\/5, k, r, 2 in descending order.\nAnswer: 2, r, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u. Let w be p(-1). Suppose 2*g - 4*g = -4*t + 14, -3*t + 5*g = -21. What is the second derivative of t - w*o**2 + 4 - o - 6 wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q. Suppose -3*r - 3 = -9. Let v(l) = l - l + r*l. Determine z(v(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Suppose -4*d - 24 = -16. What is the remainder when 117\/(-6)*9\/(27\/d) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:35 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 1. Let c(s) = -2*s - 2. Let f be (-3 + (-39)\/12)*4. Let i = f + 14. Determine i*m(a) - 6*c(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 - 668*l**3 - 16*l + 13*l - 731*l**3 + 3*l.\nAnswer: -1404*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 19.4 (b) -3 (c) -2 (d) -368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 8*t - 11. Let w(q) = q**2 - 10*q - 10. Let j(m) = -4*b(m) + 3*w(m). Let v(l) = -2*l**2 + 3*l + 27. What is -5*j(r) + 3*v(r)?\nAnswer: -r**2 - r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 10. Let x(a) = a + 17 + 15 - 35. Let l(f) = -2*v(f) - 7*x(f). Calculate l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6933 = -49*k - 1053. Solve -k = 60*d - 45*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:57 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1362 + -666. Let i = j - 281. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*b**3\/7 + 64755*b**2\/7 + 2274300*b + 2572500.\nAnswer: 3*(b + 490)**2*(22*b + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 35*s + 204. Let n be v(-40). Solve -2*h - 4 = 2*a, 2*h - n*a = h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.8287s in microseconds?\nAnswer: 760828700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -9 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 24. Suppose -5*a = 0, 2*p - 72 = 4*p - a. Let r = p - -50. Calculate the smallest common multiple of n(r) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 89 = -3*r, 4*m = r - 0*r - 39. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1862, -3719, -5562, -7385, -9182?\n\"Answer: i**3 + i**2 - 1867*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 935330 and 154880.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148780 - -934743. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 7*i**2 - 24. Let y be f(7). What is the remainder when 93 is divided by 2 + 1 - -1 - y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqv when three letters picked without replacement from vvccqavcccajckvv.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807 is divided by 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6316586, 12633187, 18949788, 25266389?\n\"Answer: 6316601*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 11:27 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1662, -13399, -45298, -107451, -209950, -362887?\nAnswer: -576354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 1:21 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17136 = -8*q - 9*q. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10425173 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 189 = 3*p, -752*p + 270 = 5*u - 1495*p + 747*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1456094773*i**4 - 22430*i**2 - 1487*i - 2 wrt i?\nAnswer: -34946274552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158496 is divided by 634?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 18) + -5 + 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(162) + sqrt(162) + -4 + sqrt(162))*4 + sqrt(162))*2 + 2)**2.\nAnswer: -14040*sqrt(2) + 110412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.046284 * 2.\nAnswer: -0.092568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 4*a - 8. Give v(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 115606.10432.\nAnswer: -115605.90432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 2*z**2 - z + 2. Let m(t) = 2478*t**3 - 5782*t**2 - 2891*t + 5782. Give -m(d) + 2891*w(d).\nAnswer: 413*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 18*w + 16. Let m be c(-18). Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 9*k = -12*k - 115, -5*k = -5*t + 295. Is t equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1901*1836\nAnswer: -3490236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -14722326.\nAnswer: -14\/7361163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033424903 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 25*b + 4. Let w(l) = -l**2 - 9*l + 16. Let k be w(-10). Let t be j(k). Does 12 divide 4\/26 + t\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.13265851 to zero dps.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1100111001011001?\nAnswer: -1100111001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 4}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 82.7 * 4\nAnswer: 330.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/((-130)\/(-25)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2671*v + 2. Let x(a) = 2*a**2. Calculate x(z(o)).\nAnswer: 14268482*o**2 + 21368*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.887263m in millimeters?\nAnswer: 9887.263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 830.19 + 1577.4\nAnswer: 2407.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - 2*f**4 + 2*f**4 - 3*f + 3*f + f**4 + (-2*f**3 - 1 + 1)*(f + 3*f - 5*f) - 41*f**4 + 45*f**4 - 49*f**4.\nAnswer: -41*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3110175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 331850359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*r + 555*r**2 + 3 - 10*r + 9 - 5 - 553*r**2 to the form n*r + q*r**2 + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151954*u + 7 - 39494*u + 141600*u.\nAnswer: 254060*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 336742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**0\/z)*z*z*z*z*z**(1\/13)*z*(z*z\/z**(-1\/8))\/z*z*z*z*z**3*z*z*(z**(-1))**(-14)*(z*z**0)**14 assuming z is positive.\nAnswer: z**(4597\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 75*m\/2 - 77.\nAnswer: (m - 77)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*1\/((-6)\/(-8)). Let p = -129 + 129. Suppose -v + 5*w = -4*v + l, p = -4*v + w - 7. Are v and -6\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 27 + 14 + 65*p**2)*(-2 + 2*p**2 + 2) to t*p**2 + j*p + k + h*p**4 + s*p**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 58.00053. What is q rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 8*n + 6. Let o be u(-8). Let p = 10 - o. Suppose w = -2*a + 7*a - 10, 3*a + w = 14. Calculate the remainder when p is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -398, -410, -430, -458, -494, -538?\n\"Answer: -4*u**2 - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644054 to the power of 1\/2, to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24*(5 + 10)\/3. Let o = g - -124. What is the least common multiple of 118 and o?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 p when three letters picked without replacement from nnnnnnnnnpnppnnnnnnn?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52, 39, 2, -71, -192, -373, -626, -963?\n\"Answer: -2*h**3 + h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from zxdzfzqfxfzqqzzxzz?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.05*-521.7\nAnswer: 1069.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55158621?\nAnswer: 3, 7, 67, 197, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-1 + 4 + 9) - -17) + (-43 - 0).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7892288, -31569159, -71030610, -126276641, -197307252?\n\"Answer: -7892290*x**2 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0*s + 5*s + (146 - 274 + 138)*(-4*s + 2*s + s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6755976 months to years.\nAnswer: 0.0562998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13867)\/118860)\/(7\/(-5))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/27 and -109\/8422926.\nAnswer: 75806334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.5 - -9. Let i be -2 + 8\/(-52)*6*-2. Which is the biggest value? (a) n (b) -0.5 (c) 4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 16. Suppose -25 = -k*u + 3*u. Sort u, 1, 3 in descending order.\nAnswer: u, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1178 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/17)*x*x**(-2\/5)*(x**(10\/3))**32)**(-6) assuming x is positive.\nAnswer: x**(-54766\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*t = 2*q, 0 = -5*q - t + 9. Let b(p) = 81 + 79 - 160 - q*p. Let y be b(-2). Is 4 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2 - 1. Let j = -1141\/549 - -19\/9. Which is bigger: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*o + 6391 = -6548 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3902*m - 58. Let u(t) = -7. Give -8*u(f) + w(f).\nAnswer: 3902*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101464 (base 10) to base 15.\nAnswer: -200e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by -55.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.002251 litres in millilitres?\nAnswer: 5002.251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112 + -10?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -9*t**5\/4 - 8815*t**4\/4 - 17615*t**3\/6 - 2935*t**2\/2 + 9369*t. Determine n, given that w(n) = 0.\nAnswer: -587, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-5541566.\nAnswer: 5541566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 1. Let l = 4 + -5. Let c be u(l). Suppose -3*f + 3*p + 24 = 0, -2*f + 0 + 1 = 3*p. Solve 3*i + f + 3 = -q, -i - 2*q - 6 = c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/3 + 1628*s**3\/3 - 215372*s**2 - 13414720*s\/3 - 67897600\/3 = 0.\nAnswer: -10, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35)\/77 - -1) + (-111)\/264. Let y = -21.8 - -15.5. Let l = y - -6. What is the second biggest value in -2, 0.2, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465637?\nAnswer: 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339027045?\nAnswer: 3, 5, 7, 3228829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -2*b - 266, -3*b + 8946 = 3*n. Calculate the least common multiple of 66 and n.\nAnswer: 17886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 4, -3, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssusuusususu. Give prob of picking 2 s and 1 u.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 2, v: 1, y: 2, q: 1, z: 1}. Give prob of sequence zqyh.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -39176423.9 less than -285?\nAnswer: 39176138.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4965 = -3*d - 2*d. Let o = 1459 - d. Is (-4)\/2 + o\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20121, 40252, 60383?\nAnswer: 80514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103559670 a multiple of 3405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 79009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 9 - 18 + 23 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.081, 0, -0.03, 0.4.\nAnswer: -14, -0.081, -0.03, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -3. Suppose -3*j = -p*j + 174. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b. Let s(l) be the second derivative of -1\/3*l**4 + 0 + 0*l**2 - 158*l + 0*l**3. Calculate g(s(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2934 = 4*m + 2*o, 9*o + 1 = 10*o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecz when three letters picked without replacement from {z: 7, c: 10, e: 1, i: 1}.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7 (b) 5 (c) 3 (d) 331 (e) 11 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 939*n**2 + 421*n - 22914. Calculate o(-470).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -6.2, -67385, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 13\/3. Let r(d) = -107*d - 316. Let v be r(-3). Which is the closest to -0.1? (a) -5 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1701 + -601. What is the highest common factor of 55 and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-3))\/(8\/(-24)). Let w = h + 8. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -36. Suppose -w*i = 4*m + 13, 2*i - 7 + 1 = 4*m. Let b be 10\/(-15) - (1 - i). Is -2 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose 1358 = 454*i - 597*i + 3789. Solve r = i*a - 13*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01507 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -399, -1169, -2447, -4227, -6503, -9269, -12519, -16247?\n\"Answer: k**3 - 260*k**2 + 3*k - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*u = -18, -489*c - 5*u = -484*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10))**(-34)*(c**(2\/5))**(1\/4) assuming c is positive.\nAnswer: c**(3401\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:58 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -209185 not equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*p + 21, -l = p - 3 - 6. Let t(r) = 4*r**2 + r. Let f be t(1). Suppose -4*b + f*b = 2. Calculate the remainder when l is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1961109 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 14\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - 2. Let n(h) = 5*h + 3. Let x(u) = -4*m(u) - 3*n(u). Let l be ((-2)\/(-4))\/(2\/(-4)). Give x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 7*x + 5. Let l be b(-8). What is the closest to l in 1\/5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-13)*38\/((-12084)\/(-1219))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.0439007\nAnswer: 0.00878014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (3 - 10) - 1 - -7 - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2238 + -2234. Which is bigger: 117\/40 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -841 - -844. What is the second smallest value in g, 7, 0.08, -1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2304 and 720.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r. Let k be o(-1). Let m(b) = b**3 + 21*b**2 + 13*b - 131. Let x be m(-20). Suppose -n + 4 + x = 0. Solve -9 = i - 4*t, -2*i + k*t - n = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*g**4 + 4 - 2*g**3 + 4*g**3 + 0*g**3 to d*g**4 + r*g + j + b*g**2 + x*g**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 6*l**2 + 3*l - 8. Calculate t(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24110410000 - -10?\nAnswer: -24110404440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1127.9 from -4.\nAnswer: 1123.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - b + 14 = 0, 2*d + 5*b - 33 = -3. Calculate the remainder when 33\/4 + d\/(-20) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 15*g + 10. Determine q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2529 + 2528.86. Which is the third biggest value? (a) -3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.43 - 1.44. Let c = -17 + r. Let q = -15.01 - c. Is q bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -6.3, -6\/71 in descending order.\nAnswer: -6\/71, -6.3, -32","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 13*l**2 - 5*l - 58. Calculate o(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2\/7, 1\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -986 or -987?\nAnswer: -987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(342848\/(-245120) - 14\/(-10)) is divided by 763.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**3\/3 - 16*k. Let q(u) = u**2 - 2*u**2 + 5*u**2. Give v(q(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2946, 2951, 2958, 2967?\nAnswer: 2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/10))**41*(k**(-27)\/k)\/k**(-3\/7) assuming k is positive.\nAnswer: k**(-2791\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 2*c**2 - 2*c - 3. Let f(d) = 4*d**3 - 9*d**2 - 8*d - 13. Let w(g) = 6*f(g) - 26*p(g). Suppose w(q) = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -16 - -3) + 95 + 85. Solve 174 = -b + g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13330000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 196*l + 1575. Determine y(-12).\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6*s + 300 = 0. Let r be (4\/10)\/((-6)\/s). Suppose -1 - 7 = -4*x, 2*x = -r*v + 1146. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 2*d**2 + 2725*d - 5*d**2.\nAnswer: -2*d**2 + 2725*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 4*f + 12, -4*a = 5*f + 3. Let m(s) = -18*s**2. Let v be m(1). Let u = -12 - v. Calculate the highest common divisor of u and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(12 + -8 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31)\/(-3) - (-87 - -98). What is the fourth smallest value in z, -1.05, 3\/4, -2\/17?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:36 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(363) + 0.\nAnswer: 4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**3 - 2*i**3 + 0*i**3 + (-4*i**2 + 4*i**2 - 2*i**3)*(-2 + 4 - 3) - 12*i**3 - 822*i + 822*i - 2*i**3 + 5 - 5.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31991, 63973, 95953, 127931?\nAnswer: 159907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - 32\/(-14). Let r = 6 + t. Suppose -c = 3*c - r. Is c less than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -0.3653?\nAnswer: 0.2653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896965 is divided by 2542.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10078727 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from vvvvvvvvvvvvvvvvyjv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 30*x - 1. Let a(o) = -120484*o + 3972. What is -2*a(c) - 7944*d(c)?\nAnswer: 2648*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2502 and 0.07497.\nAnswer: -187.57494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15174923?\nAnswer: 419, 36217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3*w + 2. Let d be n(-2). Suppose -4*q + 3*q + 11 = d. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14300 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 0*g)*(-4*g + 5*g - 3*g)*(4 + 1 - 7) + 5*g**2 - 4*g**2 + 0*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2831*o + 14162. What is g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43123 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12 = -2*p, 20435*p - 20432*p - 6 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/9*2\/(-2). Suppose v + 66 = 2*v + 2*c, -4*v - 4*c = -256. What is the remainder when v is divided by 4 - q - (-14 - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 2*m + 110. Let t(s) = 2*s. Let c(y) = -4*t(y) + w(y). List the prime factors of c(-17).\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/9, -1\/40, 57, -0.4, -2\/13?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (24 + -19)) + 7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + u - u. Suppose 18 = -11*v + 13*v. Let n(q) = q**2 + 4*q**2 - v*q**2. Calculate n(z(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316063 (base 9) to base 13.\nAnswer: 67833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.16 and 1.2327.\nAnswer: 1.3927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -c - 477. Solve -22*a - 278 = -c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 4, -96, -5, -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + -0.45. Which is the nearest to -0.2? (a) -5 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12647 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2268 by 7790.\nAnswer: -1134\/3895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183837?\nAnswer: 3, 233, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 43174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)\/(t\/(t*((t*t**3)\/t)\/t))*((t*t**9)\/t)\/t*t\/((t*t**6*t*t)\/t)*t assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 633293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -883*j**4 - j**3 + 639?\nAnswer: -3532*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 3)*(-l + 0*l + 3*l) - l + 0*l - 6*l)*(-1 - 3 + 3 + (-2 - 3 + 3)*(2 + 21 - 2)).\nAnswer: 473*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(11 - -21))\/((-1)\/(-10)). Let q = 0.07 - 5.07. Put 1, 3, q, a in decreasing order.\nAnswer: 3, 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 20*w + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -7*n + 2*n. What is the common denominator of -1 - ((-7682)\/60)\/23 and n\/8 - (-1 + 2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/((-33)\/(-36)))\/1. Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.15 - 1.149941. What is u rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 186*m**2. Let p(c) = -8*c - 1. Let a(h) = 30*h + 4. Let w(g) = -a(g) - 4*p(g). Give w(u(z)).\nAnswer: 372*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11340)\/(-148 - -43) + 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(637) + 0)**2 + 0 + 3.\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**3\/g)*g*g)\/(g\/((g\/(g*g\/(g\/(g\/g**(-2\/19)))*g))\/g))*(g**1)**(1\/25) assuming g is positive.\nAnswer: g**(-981\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(1\/3)))\/a**(2\/7))**(-3\/28) assuming a is positive.\nAnswer: a**(-1\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.055659g?\nAnswer: 0.005055659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -370 + 377. What is the units digit of ((-537)\/9)\/(88\/(-12) + h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 6, q: 4}. What is prob of picking 2 n?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 320)\/(-4 + 3). Let d = m - 887\/3. Find b such that 8*b**2 - d*b**3 + 0 + 0*b + 8\/3*b**4 = 0.\nAnswer: 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5149211058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70622806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 139159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4313 and 1335814.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - z**2 - 5*z + 3. Let n be i(3). Let f = n + -4. Let x(g) = -g + 1. Let c(m) = -2*m + 2. Let y(j) = -6*c(j) + 11*x(j). Determine y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1040313441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**7\/420 - c**6\/72 + c**5\/40 + c**4\/6 + 4*c**3\/3 + 6. Let q(i) be the third derivative of b(i). Does 4 divide q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10047 by -3349.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101001000010 (base 2) in base 5?\nAnswer: -321233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let t(z) = -z**2 - 6*z - 4. Let s be t(-5). Let r be v(s). Let d = -163\/445 - 3\/89. Which is the biggest value? (a) r (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02903 * -23.319.\nAnswer: -0.67695057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q. Let y(g) = 197*g**2. What is x(y(h))?\nAnswer: -591*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -40 (c) 13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2673*d - 114884. What is r(43)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 o, and 1 y when three letters picked without replacement from uouuuoxoyus.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -140, -128, -116, -104, -92?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouu when three letters picked without replacement from {i: 3, u: 2, g: 1, t: 1, l: 2, o: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-14))\/6*(6 - (-1529)\/(-242)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*3\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87 - 64) + -173 + 264.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*q + 23*q = 489*q + 19520 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18884 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*r - 5*c, c = r + 2*c - 2. Let t = -6 - -12. What is the derivative of -2 + l**r - 5*l**4 + t*l**4 wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 32 = -118. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a64 - -5085?\nAnswer: 4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2151027 and 23983?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e (base 16) in base 2?\nAnswer: 111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*f**4 - 3*f + 19 wrt f?\nAnswer: 2940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 3*q + 4*q + 21 - 10.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7315063 - 3894189. Let v = 9570874 - r. Let p be (2\/15)\/((-4)\/80)*v. What is p rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -835.31 + 835. What is the smallest value in -0.5, y, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-2 + sqrt(208)\/sqrt(4) - sqrt(52)) + -4)**2 + (3 + -1 + -1*sqrt(468))**2*-2.\nAnswer: -940 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48\/7, 0.3, 12, -6\/5, -1.6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512975 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1522*q + 26. Determine w(1).\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43005?\nAnswer: 3, 5, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3860, -7713, -11564, -15413, -19260, -23105?\nAnswer: -26948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13447, -14662, -15877, -17092?\nAnswer: -18307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {r: 3, g: 2, h: 1, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqeqqqqqqqqqqqqqe. What is prob of sequence eeq?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**9\/252 + 23*o**8\/168 - 53*o**5\/6 - 3*o**2 + 62*o. What is the third derivative of g(h) wrt h?\nAnswer: 240*h**3 + 2760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4 - 252*d**3 + 5292*d**2 = 0.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302 = -59*g + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**5 - 1033*m**3 - 20424*m?\nAnswer: -100*m**3 - 6198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/11)\/s**(-1\/15))\/(s**(1\/14)*(s**(-6\/5)\/s)\/s))**(-14) assuming s is positive.\nAnswer: s**(-7171\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*u - 1596 = 1323 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 0, 2*a - 2*d - 757 = -2467. Is a\/(-35) + 2\/(-5) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 405*u**2 - 406*u**2 - 10 - 5*u**4 + 0*u**4 wrt u.\nAnswer: -20*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1280 and 121810688?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 59*a**2 + 30*a + 9. Let m be w(-30). Suppose -12*f + m*f + 30 = 0. Solve 0 = 5*y + 30 - f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3031379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, -0.011, 1 in descending order.\nAnswer: 1, -0.011, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-11 - 1 - -17) - 57 - -12\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a + 11*a - 9*a + 5*a to i*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 2)*2\/(-3). Suppose 0 = -5*o - y + 94, -8*o + 6*o = y - 37. Suppose 4*z - v*n - 397 + o = 0, -4*n - 174 = -2*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 49733*b**2 + 15*b + 14*b - 49739*b**2.\nAnswer: -6*b**2 + 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/(-462))\/((-59)\/(-413)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 729 + -3623.14983\nAnswer: -2894.14983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1056434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from {r: 4, w: 8, a: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 25121*k**2 - 22848*k**2 + 40365*k**2 to the form a*k**2 + n*k + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126273 and 2058.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -9. Let z = r - -14. Let h = -10 + z. Which is the closest to -1\/3? (a) -3\/7 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26+40429\nAnswer: 40455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1 - -14) + (-131385)\/10142)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839 + 9*w + w + 766.\nAnswer: 10*w - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -152 + -3?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 4*y**2 + y. Let q(w) = w**3 - w**2 - w. Let j(o) = l(o) + 3*q(o). Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(50))**2)*-5.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1369\/9 + -153. Let r = l - -1064\/9. Do 118 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and -39\/310.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 1108069?\nAnswer: 1108068.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01750664 rounded to five decimal places?\nAnswer: -0.01751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5 + 37*y**4 - 22049*y**3 - 515177*y**2 - 1795016*y - 1706276 = 0.\nAnswer: -157, -19, -2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42593 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/361383 and -59\/257666079?\nAnswer: 257666079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -536 * -2\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m\/(m**(2\/3)\/m*m)*m)\/m))**(-8\/5)\/(m*m**(-1\/2))**(-2\/43) assuming m is positive.\nAnswer: m**(-341\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(21\/(-56) - (-2)\/8). Let n = f - -3. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 5*c**2 + 1 + 6*c**2 + 4*c - c**3 + 8*c - 10*c**2 as i*c**2 + v*c**3 + x + d*c**4 + n*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4\/5 - 199654*t**3\/5 - 5385798*t**2 - 242288010*t - 3633773400 = 0.\nAnswer: -99692, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.046 - -0.584. Let o = 54 + -54.23. Let a = q + o. What is a rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, 1, 3, -4, 28, -3.\nAnswer: -4, -3, 1, 3, 28, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4743000600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z - 2. Let s be y(-2). Which is the smallest value? (a) -2 (b) -4 (c) s (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -3351?\nAnswer: 3353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -334*i - 13864*i - 2283*i + 658*i as x*i + a and give x.\nAnswer: -15823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -55. What is the third derivative of -8*p**2 + 53*p**2 - b*p**2 + 10*p**4 wrt p?\nAnswer: 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*k**3\/4 + 3*k**2 - 45*k\/4 - 23\/2 = 0. Calculate k.\nAnswer: -23\/11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59492552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2104 - -207.511\nAnswer: -1896.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose 5*w + 124 = x. Let o = -6 - w. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4229*w + 114189. Determine j(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/30)\/(-4*(-8)\/64).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179 or -182?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from cvhninvcu.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 3\/6*6. Suppose 0 = -u + 4*u + w, 5*u = -2*h + 3. Solve h*j - 4 = 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(539) - -3*sqrt(539)*5)*4)**2 + 2.\nAnswer: 19869698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Let y(l) = l**3 - 9*l**2 - 9*l + 15. Let r be y(10). Suppose -2*g = h*n + 2*n - 49, -5*n - r = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -337, -566, -711, -670, -341, 378?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*k**3 + 159*k**3 - 77*k**3 + 64*k**2 - 13*k**4 - 3 - 34*k = 0 for k.\nAnswer: -3, -1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -908068150.\nAnswer: -908068157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-56)\/26))\/(10\/40).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 224 = -2*k. Suppose -k = -2*l - 0. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 433*v**3 + 9906*v**2 - 22428*v - 10584.\nAnswer: (v - 42)**2*(v - 3)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2320, -2318, -2312, -2302, -2288, -2270, -2248?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 183, 613, 1287, 2205, 3367, 4773?\n\"Answer: 122*b**2 + 64*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4686826349?\nAnswer: 19, 246675071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 2*a**2 - 3*a + 13. Calculate q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**11\/g)\/g)**(-16) assuming g is positive.\nAnswer: g**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**4\/3 + q**3\/2 - q**2 - q - 8. Let j(o) be the first derivative of d(o). Determine j(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 888 (base 12) to base 7\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (355\/(-142))\/((-1)\/(-4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3883 and 183141695?\nAnswer: 3883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/37 in 5\/6, 0.3, 0.154, -55?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(5\/(-255)) - (-86 + 83)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*j - 86, -3*w = 7*j - 5*j - 50. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 12.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -333*n + 58. Is o(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 13*t - 10. Let q be p(12). Suppose 0*h + q*h - 5 = 3*m, 4*m + 45 = -5*h. What is the second biggest value in -2, h, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000933 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*1\/3*223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 30 = 10. Suppose 0 = p*c - 5 - 30. Suppose -9*x + c*x + 242 = 0. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/3 - 22*p**2 - 56*p\/3 + 40 = 0. Calculate p.\nAnswer: -5, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 17*s - 82. Let a be 0\/(s + -1 - 3). Solve -o + 6*o + 5 = a, o = -2*d - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13886 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*d - 27 = -345*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6754\/3 + -2272. Let r = -431\/21 - t. Let v = r - 4\/77. Which is the nearest to -2? (a) v (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 26*f**2 + 34*f + 18. Give j(-14).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1685 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500798 and 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r + 27. Let x be 6 + r\/(-6)*-2. Solve 0 = -2*o + q + 5, x*o - 5*q - 12 = -2*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0236 + 0.0764. Is 88 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xax when three letters picked without replacement from qaqqxaqxqqq?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3245 by -649.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 292, 295, 298?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1693 = -296*q - 17085 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3527 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a + 35. Let v be h(-5). Suppose v = -127*k + 111*k + 219824. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 853717*p**3 - 1707470*p**3 + 853695*p**3 + p.\nAnswer: -58*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 1. What is g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.057.\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603722 is divided by 520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1406742146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 7, 1, -34, 13 in decreasing order.\nAnswer: 13, 7, 1, -1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 423, 3, 8 in decreasing order.\nAnswer: 423, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60000)\/(-1 + 34\/35). Suppose 0 = 4*b + 2*b + x. What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(6\/7))\/h*h**(-6))**(-43) assuming h is positive.\nAnswer: h**(2064\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*b + (5 - 4 + 7)*(1 - b - 1))*(14*b**2 + 19*b**2 + 3*b**2) + 0 + b**3 + 0.\nAnswer: -215*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -96546 equal to -96533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 7*x + 0*x)*(0*x**2 + 2*x**2 - 4*x**2 - 2*x**2 + 1 - 1 + (-2*x**2 + 4*x**2 - x**2)*(2 - 1 - 3) + 0 - x**2 + 0).\nAnswer: 49*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 11\/2. Let t = 111\/161 - 6\/23. Which is the second biggest value? (a) n (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let x(l) be the first derivative of -3*l**2\/2 + 2. What is b(x(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -46 (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:47 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103730 and 15140.\nAnswer: 157047220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**2 - 2*o. Let n(p) = -76*p**2 + 11*p. Let l be ((-4)\/(-2))\/((183\/244)\/(66\/8)). Calculate l*y(h) + 4*n(h).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (0 + 24 - 22).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 305*g**2 + 362*g - 17633. Determine i(304).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93238289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265 is divided by 562?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5788318561*w**5 - 28940984157*w**4\/2 + 11575876316*w**3 - 5787101285*w**2\/2 - 152154*w - 2 = 0. Calculate w.\nAnswer: -2\/76081, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -0*f - 5*u, 5*f + 4*u + 23 = 0. What is the third smallest value in 4\/3, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-484))\/(((-315)\/99)\/(-7))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13659*d**2 - 2093*d wrt d.\nAnswer: 27318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 1, o: 1, h: 1, c: 1, r: 2}. Give prob of sequence cor.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*30\/(-105).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268808, -537726, -806756, -1075898, -1345152?\nAnswer: -1614518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 + 21*d**2 - 18*d + 26. Calculate a(-9).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45410399 by 30.\nAnswer: 45410399\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c + c)*(-45*c + 2 + 45*c - 24*c**2).\nAnswer: -48*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 936225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45853 + 109151. Suppose -367146 - 283798 = -7*y. Suppose 5*u = -i - x, 3*u + 4*i + y = 6*i. What is u rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 58*j - 494 = 0. Suppose 373 + 133 = 46*o. Solve f = 3*a + j, -2*a - f - o = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 938?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87678 is divided by 52.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119.337955 + -0.11.\nAnswer: -119.447955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -314, -628, -942?\n\"Answer: -314*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-2 + 2*t + 1 + t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 0*l - 2*l)*(-1908 - 366 - 2280) to the form p + h*l and give h.\nAnswer: -4554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2640.53691 and -16618.\nAnswer: -13977.46309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -76*g - 4252. Give n(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.03 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -d + 6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 140?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.029600234 - -0.0296. What is q rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26016, -52051, -78098, -104157, -130228, -156311, -182406?\nAnswer: -208513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 4. Let u be q(14). Suppose -42 = 7*k - u*k. Suppose -o + 20 = 7*d - 2*d, -2*d = -4*o + k. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15060*b. Let q(n) = 3*n**2. Calculate i(q(k)).\nAnswer: -45180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 4 (c) -0.902735 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 + 28\/6. Let z(k) = k - 2. Let w be z(4). Solve 0*i**2 - 5 + q + i**w = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 193*q**2 - 752*q + 11. What is p(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45646368.\nAnswer: 2, 3, 475483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -26*h + 1. Let w(k) = -74*k + 3. Let m(i) = 17*l(i) - 6*w(i). Give m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.2. Let z = 0.57 - 0.87. Which is the second biggest value? (a) z (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37347809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 338.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 + 6 = 0. Let h be 279 + 4\/((-4)\/b). Suppose 4*n = 5*v - 250, 5*v - 2*n = -4*n + h. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6*x + 4*n = 0, -4*x + 22 = 7*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2243\nAnswer: 2\/2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2271297 + 1208087. Round v to the nearest 10000.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b + 13. Give n(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30456 and 1137024?\nAnswer: 3411072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8816*f + 8375*f + 15741 = -6750 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 + p - 1. Let f(a) = a**2 - 3*a - 3. Let i be f(4). Let c be n(i). Let z(d) = d**2 - 14*d + 47. Let b be z(9). Is b < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 - 28 = 0. Let t(u) = -8*u + 6. Let f(i) be the first derivative of -3*i**2\/2 + 2*i - 4429. What is z*t(j) + 14*f(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s - 3. Let f(z) = z - 1. Let p = -10 - -37. Suppose 9*v + 0 = -p. What is v*f(c) + t(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1794 by -69.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*h + 1, h = 5*d - 0*d - 19. Find the second derivative of -2*z + 5*z + d*z**4 + 3*z - 2*z wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + d**2 + 3*d**2)*(-2*d**2 - 4*d**2 + d**2) + (-5*d**2 + 5*d**2 - d**3)*(3 + d - 3) to the form f*d + z*d**3 + n + i*d**2 + q*d**4 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)*h)\/h*(h*h**(17\/5)*h)\/h)\/(h**(-7)\/h)**3 assuming h is positive.\nAnswer: h**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6038.546km?\nAnswer: 6038546000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64)\/sqrt(8))\/sqrt(4))**2 - sqrt(2)) + -1.\nAnswer: -sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25140.\nAnswer: 2, 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 39. Let z = 31 + -19. What is the remainder when 232\/12 + (-4)\/z is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67769 minus -0.1787?\nAnswer: 67769.1787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1028\/(-6)*3\/(-1) - -4. Let a be 4\/6*(4 - m\/140). Suppose 3\/5*c + 2\/5 + a*c**2 = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 70717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 1 - 7 - 60*o. Let v be (-14)\/(-28) + (-15)\/10. Let a be b(v). Calculate the highest common factor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708861 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11321 (base 5) in base 14?\nAnswer: -43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u + 16. Let f(k) = -7*k - 4. What is the remainder when f(-5) is divided by u - -4 - -1*11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjbj when four letters picked without replacement from {j: 8, n: 1, b: 6}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 28960*h - 231679. Determine w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*k - 20 = 2*w - 353*k, 26 = -4*w + 3*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 4. Let f = -294 - -588. Let p = -292 + f. What is the closest to 5 in k, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67855177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:00 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3 = -2*x - 5, -4*x + 2*r - 24 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 45. Is -2 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 4*c - 4*c + (-2*c + 2*c + 2*c)*(-c**2 + 4 - 4) - 4*c**3 + 4*c - 4*c to the form u + q*c**3 + p*c + g*c**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 7*c**2 - 2*c - 13. Let o be n(-8). Let x = -57 - o. Is 2\/8 + 575\/x a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 25 = 92 - 40. Sort -0.01, -12, -3.5, v in increasing order.\nAnswer: -12, -3.5, v, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/2, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -576131152 to the nearest 1000000.\nAnswer: -576000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 205219 = 4*j + 243029, -3*h = -5*j - 560294. Round j to the nearest 1000.\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0569? (a) -2 (b) -1\/8 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.89 + -1.39. Which is the nearest to 2? (a) q (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + ((-2 - -12) + -10 - 7 - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 363*y - 37222. Give g(102).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2332111.06 and -7307.\nAnswer: 2324804.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -607? (a) -1746\/5 (b) -22 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856 is divided by 618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 364*v - 2 - 183*v - 179*v. Let w(u) = u**3 + u**2 - 2*u + 3. Suppose -2*z + 14 = -4*y, -y = 4*y + 5*z + 10. What is y*b(m) - 2*w(m)?\nAnswer: -2*m**3 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**4\/12 - 463471*y**2. Let r(s) = 7*s. Let x(t) = t. Let i(n) = 4*r(n) - 44*x(n). Calculate i(g(u)).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqcqbqcr. What is prob of sequence br?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 3*m + y, -2*y = -2*m - 8. Solve 32 = 3*o - 4*p, 0 = 4*o + 2*p - m*p - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/1137 and 59\/120.\nAnswer: 45480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4663.92132 - 4664. Round k to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2. Let p(m) = -72*m + 23. Let s(i) = -12*i + 4. Let q(w) = -6*p(w) + 34*s(w). Calculate y(q(c)).\nAnswer: 576*c**2 - 96*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 29403*z**4 - 76329*z**3 - 34440*z**2 - 3600*z = 0. What is z?\nAnswer: -20\/99, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Suppose b - 2 = a. Suppose -5*n - 5*j + 30 = 0, n = j + a*j + 10. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 382547*f**4*i**3*r - 17*f**3*i**3*r - 20644*f**2*i**3*r - 150*f**2*i**3 - 2*r wrt f?\nAnswer: 9181128*f*i**3*r - 102*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(2 - 5 - 1)*(-5*o + 0*o + 3*o).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, a: 7, r: 3, g: 4}. Give prob of picking 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(143) + sqrt(143)*-3) - sqrt(143))\/(sqrt(11)*3*-1) - (-3*-3*sqrt(65))\/(sqrt(20)*-1).\nAnswer: 17*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 15) to base 10.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 1427*z**5\/60 + 91*z**4\/3 + 13*z**2 + 16*z. What is the second derivative of d(l) wrt l?\nAnswer: 2854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 18. Calculate the greatest common factor of o and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -23*p + 3*h, -208*p + 45 = -203*p - 5*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247368*f**3*k**3 - f**3*k**2 - 2*f**3*k - 2*f*k**2 + 2*f + 57 wrt k?\nAnswer: -1484208*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 17*c**5\/120 + c**4\/8 - c**3\/6 + 200*c**2. Let l(x) be the first derivative of y(x). Determine l(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 67.48 times 0.03\nAnswer: 2.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81632, -163250, -244862, -326462, -408044, -489602, -571130, -652622?\nAnswer: -734072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.025 in -40.32, -0.5, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*(12\/(-2))\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72.58 in 0.06, -1, 0.126, -2\/11?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)*(-7 + 3). Suppose -2*y = -j*s - 7804, 2*y - 5*s - 8064 = -260. Let a = 2602 - y. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j + 2*o + 6, 3*o + 9 = -5*j. Suppose -4 = -j*w - 4*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: Suppose 5*d - 328 = 3*d - 2*y, -3*y + 661 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 2. Let y be s(-8). Suppose 1 + y = 3*m. Suppose -f - 2 = 5*c + 2*f, 5*f = -m*c - 10. Solve l = 2*p + 2, -4*p + c*p + 2*l = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3*s**2 + 0*s**2)*(6*s**3 - 7*s**3 + 13*s**3)*(16 + 9 - 18 + 38).\nAnswer: -1080*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**8\/168 - 2*o**7\/105 - 2*o**2 - 3*o. Let z(g) be the first derivative of n(g). Find t, given that z(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 5*a**2 + a + 6. What is the tens digit of d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:01 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 35679.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18093\/141303 + 4\/(-402)*-3?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/9*43623\/5109\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15.4725*2\nAnswer: -30.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/76 + (-490)\/(-38). Solve 0 = -5*g - 3 + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -739, -2955, -6649, -11821, -18471?\n\"Answer: -739*h**2 + h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102036 divided by -3092?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 498.7 - -24.3. Let i = a + -523.00000642. Round i to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-20)*1)\/((4\/(-3))\/((-800)\/6960))?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -122. Let h = -26 + 37. Calculate the remainder when y is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -202*c - 785. What is the remainder when 1793 is divided by r(-5)?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 * -0.26732\nAnswer: -30.7418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0*j - 1\/24*j**4 + 2\/3*j**3 + 0 + 4*j**2. Differentiate z(k) wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - q - 2 = 0, 7 = -4*o - 3*q + 6. Let p(x) = -x**2 + 8*x - 6. Let y be p(5). Let a = y + o. Calculate the smallest common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2175642?\nAnswer: 2, 3, 7, 31, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let n(o) = -o**2 + 5*o + 6. Let w be n(6). Let p = f - w. Calculate the lowest common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*f = -5, -2*r - r = 4*f - 21. Let s(j) = j + 25. Let h be s(-5). Let p = h + r. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i - 3*i)*(1 + 5 - 5) - 20*i + 2 + 10 - 13 + (0*i + 2*i - 4*i)*(-2 + 2 + 1) + 1 - 3*i - 1.\nAnswer: -29*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*s - 5*v + 4, -4*s = -3*v - 47. Suppose 11*f - 114 = s*f. Suppose 0 = a + a - 3*r - f, -5*a = -2*r - 73. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.1 and 37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -39 - 41 + 47 - 63 - 2*g**2 + 43*g. Let b be h(19). Let v(j) = 11*j**2 + 0 + 0 + j - 10*j**2. Let f(a) = -a**2 - 5*a. Determine b*f(s) - 4*v(s).\nAnswer: -3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1.0674\nAnswer: -0.5337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 - 209 = -g + r, 3*r = -15. Let m = -13066\/23 + g. Is 0 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 1. Let d(h) = -14*h**3 + 12*h**2 - 158. Let k(u) = -d(u) + 6*y(u). Find the first derivative of k(z) wrt z.\nAnswer: 42*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 275*y**9\/126 - 47*y**5\/60 + 2*y**3\/3 + 148*y**2 + 4. Find the third derivative of q(v) wrt v.\nAnswer: 132000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/21980 and -89\/994280.\nAnswer: 156101960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 153143984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 5*x - 2*x. Let h(o) = 5*o**2. Give c(h(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -46 (b) 1\/3 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 11*p**2 - 21*p - 22. Let l be m(-9). Suppose 4*k = -i + 3*k + 3, k = -l*i + 3. Put 4, -2, i in increasing order.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let g(z) = -371*z. Determine t(g(r)).\nAnswer: -275282*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*d**2 + 9*d**2 - 2*d**2)*(6 + 0 - 4 - 2 - 4 + 5 + (-1 + 0 + 2)*(1 + 1 + 0) - 2 + 3 + 0 - 3 + 2 + 3).\nAnswer: -114*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 5. Let g(k) = -5*k**3 + k - 1. Let o be g(1). Let f be n(o). Let l be (1 + 9)*(-2)\/f. Solve m = -3*m - l*v + 4, 4*m - 4*v + 36 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229079.\nAnswer: 277, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -271, -407?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:37 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 187 = -2*x - 75, 3*q - 18*x - 46 = -13*x for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 4.6, 5 in descending order.\nAnswer: 5, 4.6, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21083 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h + 53. Let q(w) = 22*w - 64. Let o(z) = 7*n(z) + 6*q(z). Let v(f) = 3*f - 7. Calculate 6*o(t) - 11*v(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-20)*-1*-1. Let q = -210878 - -210883. Which is the smallest value? (a) -0.3 (b) x (c) q (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = -2*a, -2*j = -3*a - 4*j + 22. Suppose -a*g + 9 = -3*g. Suppose 0 = -0*x - g*x - 15, i = 2*x - 5. Is -16 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 11518500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 44586*n - 222474. Give s(5).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676778468.\nAnswer: 2, 8461, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 453\/5. What is the nearest to -2 in u, 1, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194834501?\nAnswer: 17, 41, 443, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yybb when four letters picked without replacement from {b: 7, y: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396176, -396269, -396360, -396449, -396536, -396621?\nAnswer: -396704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 7*p - 2. Let s be (-2)\/(-8) - 75\/12. Let l be c(s). Suppose f + 0 = l. Solve -2*v + 5*t - 5 + 0 = 0, -f*v - 2*t = -26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**4 + 211*s**3 - 4*s**2 - 98*s - 9. Let k(u) = u**2 + 1. Let h(w) = -4*k(w) - m(w). What is the second derivative of h(x) wrt x?\nAnswer: 24*x**2 - 1266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 3*d + 3. Let l = -55 + 77. Let o(x) = 3*x**3 + 11*x + 11. What is l*k(w) - 6*o(w)?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1127175781 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14675214 + 6575214. What is b rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-9)*z*z\/(z**(-2)*z*z)*z**8\/(z**6\/z) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*u + 942 - 957, 5*h = -4*u - 9. Sort -11, h, 11, -3.\nAnswer: -11, -3, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-24)*3 + 99\/(-56) and 89\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*s**3 - 6*s**3 + 3*s**3)*(-s**2 + 2*s - 3 - s**2 + s**2) + (2*s**3 - s**3 - 2*s**3)*(3*s**2 + 0*s**2 - 2*s**2) + 0*s**5 - s**5 + 3*s**5.\nAnswer: 19*s**5 - 36*s**4 + 54*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1815703 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7307 divided by 5\nAnswer: -7307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2466*a**3 + 31 - 31.\nAnswer: -2466*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 + 3334*o**3 + 12479966*o**2\/3 - 20870014*o + 50120072\/3 = 0. What is o?\nAnswer: -2503, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 + c. Let u(o) = -4*o**2. Give a(u(y)).\nAnswer: 96*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1038082951 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {p: 1, z: 4, k: 6, g: 1, s: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306 (base 8) to base 13.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:12 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*5)**2 + sqrt(2736) + -5 + (sqrt(304)*2 + sqrt(304))**2 + -1*sqrt(76)\/sqrt(4).\nAnswer: 11*sqrt(19) + 71131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.8 or 0.101?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/c**(-4\/5))))\/(c\/c**(-3)*c*c))**(1\/23) assuming c is positive.\nAnswer: c**(-21\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401*g**5*j + 2*g**3*j + 128*g*j - 3*j wrt g.\nAnswer: 8020*g**3*j + 12*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 r when three letters picked without replacement from rrprirrrrrrrrrppr?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 708e - -c?\nAnswer: 709b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 7 - 7 = 0. Suppose -3*h + 9 = f - i*h, -3*f + 3 = h. Let 0*q + f - 10\/3*q**3 - 3*q**4 - 1\/3*q**2 = 0. Calculate q.\nAnswer: -1, -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17)\/(a*a**(-2\/5)))\/(a\/a**7*a*a*a**8) assuming a is positive.\nAnswer: a**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(5\/3)\/q)*q**(4\/17)*q)**(19\/6))**(-13))**13 assuming q is positive.\nAnswer: q**(-128440\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 464.379584 * -0.2.\nAnswer: -92.8759168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -42430573 (base 8) to base 11\nAnswer: -5126425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d + 31*d = 2*b - 1272, 0 = -3*d + 3*b + 1932. Does 40 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 8 - 32 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167590073*r**2*v**2 - 257959824*v**2 wrt r?\nAnswer: 335180146*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - -334. Let o = a + -90. Sort o, -0.04, -5, 12 in increasing order.\nAnswer: -5, -0.04, o, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8773*p**3*r**3 + 40*p**3*r**2 + 2*p**3*r + 5*p**2*r - 16*p**2 + 1711*p*r**3 + p - r**3 wrt p.\nAnswer: 52638*r**3 + 240*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -111012230203?\nAnswer: -111012230201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0 + 1\/80*g**5 - 1\/6*g**3 - 19*g**2 - 1\/24*g**4 - 1\/840*g**7 + 1\/240*g**6 + 0*g. Find m, given that r(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 21. Suppose b - 3*g = 3*b - 12, -16 = 3*b - 4*g. Sort b, -1, q in descending order.\nAnswer: q, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from eiierreiei?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*y - 3*f + 90, 4*y - 3*f = 360. Let j = 98 - y. Let m(t) = -t**2 - t + 0*t - 5 + 10*t. Determine m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-13))\/(a**(-15)*a)*(a\/(a*a*a**(-12)*a*a))\/a*a**0\/a assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9103.517 millilitres in litres?\nAnswer: 9.103517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 - u**4 - 6*u**4 - u**4 + 0 + 0 + (-3*u + 3*u - 2*u**3)*(-u - u + 0*u) - u**3 + u**3 + 2*u**4 + 45*u**4 - 87*u**4 + 8*u + 40*u**4.\nAnswer: u**4 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322285829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**2\/2 - c - 1. Let i be q(-5). Let n(d) = d**3 + 5*d**2 - 7*d - 7. Give n(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33017, 33025, 33045, 33083, 33145, 33237, 33365, 33535?\nAnswer: 33753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/66 and -167\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3, -1028 in decreasing order.\nAnswer: 2, 0, -3, -1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0582164 + 1.7.\nAnswer: 1.6417836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67889, -67924, -67959, -67994, -68029?\nAnswer: -68064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + -43. Let i = -32 + k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 2. Let d = -49 - -40. What is the remainder when (57\/(-1))\/(d + 8) is divided by i(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(135)\/sqrt(5))\/((sqrt(1089) - -3*sqrt(1089) - sqrt(1089)) + sqrt(9)).\nAnswer: -3*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) -0.05 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/1*8\/60?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 3*g = -16, 3*m - 4*g = 3. Suppose 1 - m = 4*l, 3*l = 2*t - 823. Let f = t + -267. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -5. Solve 4 - 2 = -s + 2*i, 2*i - f = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2.259.\nAnswer: 0.2259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*k - 37476 = -1195*k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21172, -17, -8, -3 in descending order.\nAnswer: -3, -8, -17, -21172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*r**2 + 0 - 3*r**2 + (18*r + 10*r - 11*r)*(3*r + 2*r - 6*r) - r**2 + r**2 + r**2 + (-3*r - 2 + 2)*(-2*r + 3*r + 0*r) - 3*r**2 - 4*r**2 - r**2.\nAnswer: -28*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -133*c**3\/3 - c**2 + 847*c + 4989. What is the second derivative of t(m) wrt m?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 85.7. Let h = -1 + 2. Which is the second biggest value? (a) -5 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**1)\/z)**(3\/4)*(z*z**(4\/3)*z*z)\/(z\/z**(-1\/3)))\/((z**(-2\/3)*z*z\/(z\/z**(-2\/5)*z))\/(z\/(z**(-1\/3)\/z))**(4\/3)) assuming z is positive.\nAnswer: z**(1427\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 227 + 23. Let g = 961\/104 + -77\/8. Calculate the common denominator of (1\/12 + 1)\/(a\/200) and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/9)*j**(-3)*((((j*j**(-1)\/j*j*j)\/j*j*j)\/j)\/j)**(-6\/5)*j**(2\/17)*j\/(j**(-3)*j)*j*j\/(j\/(j*j*j**(1\/4)))*(j*j**(2\/7))\/j assuming j is positive.\nAnswer: j**(14699\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 + -66. Suppose -5*l - 3*y - i = 0, l - 2*l = -y + 12. Let g = -4 - l. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12 - 5*s**3 - s - 3*s + 12 wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.77 - 12.77. Let p = -24.04 + 35.7. Let b = k + p. Round b to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 10:54 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/196 - 12\/14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1020159234 to 5 decimal places.\nAnswer: -0.10202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzdd when four letters picked without replacement from zzzdzzdrdzrdzzzz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -528642 in descending order.\nAnswer: 3, -4, -528642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 407, 932, 1779, 3056, 4871, 7332?\nAnswer: 10547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 833604 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - p)*(0 + 0 - 2) + p - 10*p + 3*p - 1 - p + 1 - 3*p + 0*p - 7*p + (-6 + 8 + 5)*(-6*p + 2*p + 2*p).\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*g - 16, -g + 8 = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -87*q**2 + 3581*q + 3578. Give i(-1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 + 100100110101000000?\nAnswer: 100100110011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 13. Let y = -4 - 6. What is the remainder when o is divided by (6\/y)\/((-9)\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 364, -2, -8, -4 in descending order.\nAnswer: 364, 3, -2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6.975. Let r = -1.015 - d. Round r to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 10*d + 8. Let m be t(9). Let n = -0.3 + 0.4. Let h = 3906\/5 - 782. What is the second smallest value in h, n, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2)\/(-1) + 300. Suppose 0 = -3*a + 3*i + b, -5*a = -a - 5*i - 399. Suppose -3*m = -l - 8*m + a, -3*l + 366 = -m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22d98 + -10?\nAnswer: 22d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.535543262 rounded to one decimal place?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 12, r: 6}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**4 + 103*p**3 + 2*p**2 + 2738*p - 3176093 wrt p.\nAnswer: 4*p**3 + 309*p**2 + 4*p + 2738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 238 = 5*t + 28, -2*t = l - 97. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-37329)\/(-27) + 2\/(-9). Suppose s = 10*j + 4*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 17*y**2 + 4*y - 2. Let s(w) = 9*w**2 + 2*w - 1. Let m(b) = 7*s(b) - 4*t(b). What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from {h: 1, y: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 22*l - 4. What is the common denominator of -15\/4 and z(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2856438 = 4*w - 2*m, 4*w - m = -41503 + 2897940. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 6*f**3 - 3*f**3)*(3667*f + 12 + 7 - 3675*f - 2*f - 1 + 1 + (-2 - f + 2)*(-2 + 6 - 1)) - 2*f**4 - 3*f + 3*f.\nAnswer: -15*f**4 + 19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414157320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 6. Suppose 0 = -i*y - 2. Which is smaller: -1\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29\/11 (b) 2 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 121. What is the highest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rae. What is prob of sequence er?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(19))**2 - sqrt(76)\/sqrt(4)*-3)*-1 + (sqrt(133)*-1*-6 + sqrt(133))\/((-1*sqrt(14))\/sqrt(2)).\nAnswer: -10*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 6*v**3 - 3*v + 13 - 4*v**3 in the form b*v**3 + o*v + z*v**2 + h and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-10) + -1)\/(((-13)\/465)\/13). Suppose 660 = -3*q + 21. Let b = q + z. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 5\/((-35)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1690 and -113\/500.\nAnswer: 84500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -8. Let j = u - -13. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 3*v**7\/70 - v**6\/120 - 12*v**3 + 311*v**2. What is the derivative of z(b) wrt b?\nAnswer: 36*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 5. Let y = 409 - 409. Determine o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 17 = -j - 2, 32*j = 13*j + 16*j + 57 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -29*o**2 + 6. Let z(h) = -h**2 + h. Let b(m) = -d(m) - 2*z(m). Let j be b(-2). Suppose -5*g + j = -1553. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -2*n**2 - 1\/3*n**3 + 0 + 34*n. Give p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 6:20 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**4\/4 + h**2\/2 + 4*h - 7. Give c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = -s. What is the smallest common multiple of 18 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16415 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17660412.\nAnswer: 2, 3, 7, 11, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -14, -32, -68, -128, -218, -344, -512?\n\"Answer: -b**3 + b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**3\/2 - 9*a**2\/2 + a. Let p(u) be the second derivative of u**3\/3 - 2*u**2 + 1458*u - 6. Calculate 2*f(s) - 5*p(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742, -740, -738, -736, -734?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 237 = 6*l. Let f be l + (3 - 0) + -1. Let g(y) = y**2 + 9. Let u be g(0). What is the greatest common factor of u and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:53 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from {a: 5, w: 1, h: 3}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 34979*z\/2.\nAnswer: z*(z + 69958)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 934085435\/154 + -6065519. Let u = p - -228\/7. Find the common denominator of ((-18)\/9)\/(11*(-3)\/(-6)) and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 104*u + 1259. Suppose -35*p + 36*p = 36. What is the remainder when g(14) is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001740123298 to 7 decimal places.\nAnswer: -0.0017401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:29 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 128079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 3206104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1692, 3350, 5020, 6708, 8420?\n\"Answer: f**3 + 1651*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -70, -0.4, -37, -5, 3.8, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f + 6*f**2 + f**3 + 355 + 353 + 347 - 1059. What is c(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32053 and -0.1533?\nAnswer: 0.049137249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 769968579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-10.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -0.37690906?\nAnswer: -20.62309094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a4 - -47?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 122. Let w = -6.1 - -6. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2822 and 3069506.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 296411*l + 64475?\nAnswer: 296411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247134, -246917, -246688, -246447?\nAnswer: -246194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.2\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - i + 4. Let p be t(2). Suppose p*u - 5*u = 100. What is the smallest common multiple of 6 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thtyqtqdttddqqqdhd. What is prob of sequence dtqq?\nAnswer: 25\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -274*r**6 + 35*r**2 + 3*r + 1270. What is the second derivative of h(m) wrt m?\nAnswer: -32880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-15) - (-19464381)\/1215.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6, 5*z = -3*j - 42 + 126. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690650322.\nAnswer: 2, 3, 101, 1139687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + 353?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**38*j**(1\/4)*j\/(j*j**(-4)))\/((j**(2\/5)\/j)**(-21)\/(j\/(j*j*((j\/j**(2\/7))\/j)\/j*j))**21) assuming j is positive.\nAnswer: j**(1053\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -36038*q. Let h(z) = -17*z - 81. Let g(t) = -15*t - 72. Let v(w) = -9*g(w) + 8*h(w). Give v(n(k)).\nAnswer: 36038*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -0*a + 42. Solve 0 = -5*u + a*c - 0*c + 15, 15 = -u - 3*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8. Suppose 8 = 2*o + 4*a, m = 3*o - 2*a + a - 19. What is the remainder when 22 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v**2 - 16*v + 359. What is the ten thousands digit of p(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - h - 6 = 4*h, y = -4*h + 12. Suppose z - k + 21 = 0, y*z - k + 88 = k. Which is smaller: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*k**3 - 32*k**3 - 20*k**3)*(1 + 2 + 0) to the form o*k + r*k**3 + g + m*k**2 and give r.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0.5. Let u = -0.22 + 0.3. Let h = u - 0.38. Which is the biggest value? (a) g (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 + 13*q + 1. Calculate b(4).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -1. Let u be ((-4)\/8 + 2)*-34. Let t = u - -47. Sort t, b, 6 in ascending order.\nAnswer: t, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*x = -3*r + 10, 6*r + 20 = -1184*x + 1183*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 15*k + 153. Let d be z(-7). What is the closest to -2\/5 in -0.2, d, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1163459, 2326918, 3490377, 4653836, 5817295?\nAnswer: 6980754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2657434 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*z = 0, p - 3*z = -4*z - 3. Suppose -2*g = 3*a - 1025, p*a - 10 = -0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-73)\/2 - -3. Suppose -5*y + k = 5*x - x, -y + 18 = -2*x. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/8 + 63*y**4\/8 - 30*y**3 = 0. What is y?\nAnswer: 0, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66192)\/3152*5\/(-18).\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 210 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 - 2 = 3*n, -3*x - n = -21. Suppose 0 = x*b - 1581 + 307. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-45)\/(-12) + 4)\/((-5)\/(-20)). Suppose 0 = -x + q - 28. Solve 3*d = 4*d - 4*k + 16, -k = -x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 31. Find the second derivative of o*n - 2*n + 10*n**4 - 24*n**4 wrt n.\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26396700 and 1045?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 0*n + 0*n - 194*n + 182*n - 122*n - n - 4*n + 4*n + (-n + 3 - 3)*(2 - 4 + 4).\nAnswer: -135*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3cc8 (base 15) to base 10\nAnswer: 13013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 3872?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33bc + 173?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2038 + -61968. Let f = -243298 - -119368. Let n = j - f. What is n rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g**2 + 4*g + 5. Let l(d) = 55*d**2 + 16*d + 21. Determine -2*l(b) + 9*y(b).\nAnswer: 7*b**2 + 4*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 - -199. Let v(s) be the first derivative of 4 + 0*s**2 + 1\/10*s**t + 4\/15*s**3 + 0*s. Factor v(u).\nAnswer: 2*u**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*f - 27. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(24)\/sqrt(8)*-6*-4 - (sqrt(120) - (sqrt(120) - 2*sqrt(120)))\/(sqrt(110)\/sqrt(176)))*4.\nAnswer: -544*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134582130 and 90.\nAnswer: 134582130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007345699 rounded to 6 dps?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -47*z**2 - 20. Let b(f) = 2*f. What is b(y(q))?\nAnswer: -188*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = r. Suppose -5*d = 3*n - 83, d + n + r*n - 20 = 0. Let w = 26 - d. Solve 5*y + w + 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459901.\nAnswer: 13, 17, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 + 52*h - 13. Let q(u) = -2*u**2 + 26*u - 6. Give -7*q(w) + 3*z(w).\nAnswer: -w**2 - 26*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 4\/9 (b) -1 (c) 10 (d) -8 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23466.97027 - -0.1.\nAnswer: -23466.87027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -35*g**2 + 3*g. Let l(p) = 174*p**2 - 14*p. What is 14*a(r) + 3*l(r)?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 4*g - 3. Let f be v(-3). Suppose f = r - 3*r + 146. What is the remainder when r is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 1\/3*n**3 + 0*n**2 - 2 + 3*n. Let q(s) be the first derivative of k(s). Let h(z) = -4*z**2. What is q(h(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4734 + -4788. Suppose 0 = -0*o + 3*o + 171. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**16*x)\/(x*x*x**(-8\/9)))\/(x**20*((x*x*x**(2\/7))\/x*x)\/x) assuming x is positive.\nAnswer: x**(-340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(4*g**2 + 0*g**2 - 5*g**2) + 62 + 4*g**2 - 3*g**2 - 16.\nAnswer: 3*g**2 + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (6*(sqrt(65) + (2*sqrt(65) - sqrt(65))*-5 + sqrt(65)))\/(6*(sqrt(245) + 1*sqrt(245) - sqrt(245))).\nAnswer: -8 - 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/14)\/(1\/2). Let s = -7.83 + -0.17. Let j = s - -7. Which is the closest to j? (a) 1\/3 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqlqlkmzlm. Give prob of sequence ll.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, -s + 26 = -4*t - 1. Suppose -25*r = -28*r + s. Suppose 4*z + 13 = -5*b, -b + 34 = 3*z - 6*b. Solve r*c = -5*y + 30, -6 = z*y + c - 6*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3003 and -20\/3003?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w - 1. Let c be a(1). Let q be (0 + 0)*13\/c. Suppose -f = 3*o - 9 - 2, q = -3*f + 3*o + 81. Calculate the remainder when 43 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3 - 3)*(-1 + 1 + o + (-2*o + 6*o - o)*(1 + 1 - 3 - 1 + 2 + 1 + 3 + 2 - 4 + (0 - 2 + 3)*(0 - 1 + 3))).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.07, 4, -1, -294, 37?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 11, -5, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 17. Let t = a + -3. Let q(g) = -g - 6. Calculate q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55753*s**4 + 78936*s**2 - s.\nAnswer: -1338072*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - c + 11 = -11*v, 0 = -v - c - 3. Let o(u) = 8*u - 2. Give o(v).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 4*v + 12, 1 + 4 = s + v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - 70*i**2 - 18*i + 123. Let j be a(-23). Calculate the highest common divisor of 8392 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 52*g\/5 - 387\/5.\nAnswer: -(g + 9)*(g + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -0.4, 0.2, -2\/7 in increasing order.\nAnswer: -66, -0.4, -2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 2. Let t(u) = u + 1. Let z = 27 + -32. Give z*o(r) + 12*t(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 385371\/22 + -17514. What is the common denominator of x and -157\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 + 256. Suppose 3252 = -25*t + s*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112741256?\nAnswer: 2, 557, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 26*i + 203 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(2\/13)*n*n*n**(-1\/9)\/n)**(2\/5)*((n**(-2\/3)*n)\/n*n)**(-22)*n**5*n\/n**(3\/4) assuming n is positive.\nAnswer: n**(-463\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 7, l: 9, q: 1}. Give prob of sequence ee.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7502, -15089, -22672, -30251, -37826?\n\"Answer: 2*t**2 - 7593*t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722 less than 5722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**8\/u*u)\/u*u*u**(-2\/5))\/(u**(-6\/11)*u*u*u**(-2\/5)*u)*((u**(-1)\/u*u)\/(u**(2\/9)*u))\/((u\/u**(-1\/9))\/(u*u**(-1\/3))) assuming u is positive.\nAnswer: u**(128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0.8. Put 0, -0.4, f in increasing order.\nAnswer: f, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3098834.2 times 2\nAnswer: -6197668.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + 27*g**2 - 3213*g\/4 + 7803\/2.\nAnswer: -(g - 51)**2*(g - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -990*h**6 + 813 + 568*h**6 - 127*h**2 - 727*h**6 + 129*h**2 + 2*h**4 wrt h?\nAnswer: -137880*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/11)*v\/(v**(-1)*v*v))\/((v**1*v)\/v*v)**(-25))**(-9\/2) assuming v is positive.\nAnswer: v**(-4959\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-13)\/(-3))\/((-1)\/(-3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.96 + 1.66. Let y = 23 + m. Let o(a) = -2*a**2 + 31*a - 113. Let u be o(9). What is the nearest to y in 0, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**5 - 159*k**3 + 3936*k - 8. Let s(n) = -12*n**5 + 319*n**3 - 7872*n + 14. Let u(r) = 4*s(r) + 7*w(r). Find the second derivative of u(p) wrt p.\nAnswer: 20*p**3 + 978*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 4:13 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3ab992 (base 13) to base 11\nAnswer: 893934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -478120 rounded to the nearest one thousand?\nAnswer: -478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4412.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14*2 + 0)\/(-67 + 65). Suppose -r*o = -50 - 6. Solve -o*a + 2*q + 4 = 4*q, -2*q = -2*a - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*8760.1\nAnswer: -35040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19638?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41201005 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 159*n + 6952. Calculate j(111).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4038*w - 87894 = 1866*w - 1278*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10\/9)*d**(-7\/3) assuming d is positive.\nAnswer: d**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6232808*h**3*w - 62*h**2*w - 38*h*w - 57*h wrt h.\nAnswer: 37396848*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/7 - 4429464*g**3\/7 - 4905028972888*g**2\/7 + 19620169045152*g\/7 - 19620186763024\/7.\nAnswer: -(g - 2)**2*(g + 2214734)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 7*c + 57. Let u(y) = -17*y - 21. Calculate the remainder when x(-11) is divided by u(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 3552*b**2 + 316149*b - 3051840.\nAnswer: 3*(b - 1088)*(b - 85)*(b - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 3, g: 4, k: 4, e: 4}. What is prob of sequence gxe?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 55. Give g(-30).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*m - 2*q = -427*m - 76, -3*q + 23 = -m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 412265660 to the power of 1\/2, to the nearest integer?\nAnswer: 20304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 2*g**5\/15 - g**2. Let j(v) = 3*v**2. What is k(j(p))?\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65551 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 1004*u**3 + 127002*u**2 + 251000*u + 125000.\nAnswer: 2*(u + 1)**2*(u + 250)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -158, -59, 40, 139, 238, 337?\n\"Answer: 99*q - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1)*-1*1. Let u(m) = 0*m - 3 + 5*m + 14. Let r(a) = 2*a + 5. Let c(l) = j*u(l) + 7*r(l). What is c(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - q + 9, -3*j - 3*q + 7 = -2*q. Let l(w) = 17*w**3 - w**2 - 5*w. Let f(d) = -9*d**3 + 2*d. What is j*l(x) + 5*f(x)?\nAnswer: -11*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 38. Let p = r - 2. Suppose -5*u + 2*u = -p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-152)\/(-15) - 2\/15. Is 9 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -256342 bigger than -256348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -5, 18, 61, 130, 231, 370?\n\"Answer: n**3 + n**2 - n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/12 + (-3)\/9. Suppose a*o = o - 44. Let i = o - -24. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 529\/5 - 105. Suppose -2\/5*a**3 - 6\/5*a**2 - o*a + 0 = 0. What is a?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 13*j - 7. Let o be w(12). Let d be (4\/o)\/((-6)\/(-30)). Suppose d*p = -1 - 7, 38 = 4*u - 5*p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(19) - sqrt(931)) + -3) - ((-3*sqrt(95))\/sqrt(5) + sqrt(19))*-3)*6)**2.\nAnswer: 2592*sqrt(19) + 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*d = -9*d + 172340, 5*q + d = 215447. Is q a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/7 + 150\/21. Solve -y + o*i - 3*i + 5 = 0, -4*y = -4*i - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 + 76.6.\nAnswer: 76.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u - 799. What is the lowest common multiple of (-3)\/((-6)\/44) + 1 and b(81)?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -79. Let p = 1 - 2. Which is the third smallest value? (a) p (b) i (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -23505.6 (b) -5\/4 (c) 3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/4, -1.4, 5 in decreasing order.\nAnswer: 5, 3\/4, 0.3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4519 - -4536. Solve 0 = -j - 2*w - 3, -4*j - b = -5*j + 3*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*t - 2*t - 9 = 0, 2*q + 3*t + 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10.1. Let v = 0.0999999 - q. What is v rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 0, 3*w + 4*j - 29 = 3*j. Let o be (-2 + w)\/(-3) + 5. Suppose 0 = -o*b + 11 + 100. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 5*z - 9, -5*z = -t - 1 - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7061464*r**3*t**3 - 2*r**3 - 16222*r**2*t + 751*t**3 wrt r.\nAnswer: -42368784*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 64950\/50 - (-78)\/(-3)?\nAnswer: 17822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, -40, -156, -312, -508, -744?\n\"Answer: -20*r**2 - 16*r + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 + 55 - 22)*(3*a**4 + 26*a**4 - 5*a**4).\nAnswer: 3600*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308150589.\nAnswer: 3, 61, 277, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-71)\/(-1) + (-7 - -6). Suppose 71*d - k*d - 15 = 0. Calculate the remainder when d is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2146 = 11*k - 7228. Suppose 2*o = 0, 14*g + 5*o = 13*g + k. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqqqccqcqqqqqqc. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + s + 22. Let d be x(0). Suppose 4*y = 2*w + d, 8 + 14 = y + 5*w. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5542 + 4103 = 5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebebbmebpbbeebb. Give prob of sequence pbm.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + (17 - (60 + -42)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9*10\/375)\/((-27)\/45)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j + 4. Calculate the smallest common multiple of 26664\/330 - (-3)\/15 and x(-3).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + sqrt(2) + -3.\nAnswer: -7 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -3*c - 3, 71*c + 1 = 70*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981039761.\nAnswer: 13, 2029, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1236406 + -98.8905594. Let b = -0.068 + 99.068. Let y = b + o. Round y to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104242344 (base 6) in base 7?\nAnswer: -22021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4436.144l in millilitres?\nAnswer: 4436144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 524989.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 + 113476*j + 41936304 = 0. Calculate j.\nAnswer: -56366, -372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18)\/(((-21505)\/13260)\/(-253)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -19. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.823 - 196962838?\nAnswer: -196962774.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u + 11. Let t be c(6). Let y = -67 + 72. Suppose n = d - y, 0 = 3*d - 2*n - 1 - 11. Solve 5*o + 25 = -3*l, 4*l + d*o = 3*o + t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140137782209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*c + 3*o, 37 = 4*c - 5*o - 19. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/9 + 7304*g**2\/9 - 3348836*g\/9 + 13278736\/9.\nAnswer: -4*(g - 911)**2*(g - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 22 + (-126 - -125)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.121 - -60.879. Let c = -58 + z. Which is greater: 0.06 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -20322?\nAnswer: 20311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6)*t)\/((t**3*t)\/t))**41*(t**0*t)**(-21\/5)\/(((t\/(((t*t**1)\/t)\/t)*t)\/t)\/t)**(3\/4) assuming t is positive.\nAnswer: t**(1004\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**6\/10 + 11*j**4\/4 - 9*j**3 + 12*j**2 + 8*j - 17. Let p(g) be the first derivative of x(g). Factor p(t).\nAnswer: -3*(t - 2)*(t - 1)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**5 - 19*d**5 - 35*d**5 + (-d + 3*d - 5*d)*(-3*d**4 + 2*d**4 + 3*d**4).\nAnswer: -50*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-418*l**4 - 496*l**4 + 683*l**4).\nAnswer: 462*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 35*o**2 - 1225*o.\nAnswer: -o*(o + 70)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -213*p**2 - 6. Let w(c) = -1064*c**2 + 6*c - 32. Determine -11*r(q) + 2*w(q).\nAnswer: 215*q**2 + 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 7*v - 15. Let s be g(3). Solve -s = -12*j - 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -230 - -231. Which is the biggest value? (a) -10 (b) -0.5 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-2) + -7 - -14. Solve -g*x = 2*z, 1 = -3*x - 2*x - 2*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 413*y**3 - 8*y**2 + y**4 - 2 - 413*y**3 to o*y + m*y**2 + v*y**4 + w + q*y**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {h: 5, t: 1, i: 2, v: 8}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4200 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 6*y + 2*y + 0*y - 2*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3994\/16641 or -1?\nAnswer: -3994\/16641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4, -30*j = -26*j - 3*l - 37. Let r(q) = 3*q**3 - 3*q**2 + q + 2. What is the smallest common multiple of j and r(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 493\/(-87) - (0 + 10\/(-6)). Let m(z) = 6*z**2 + z**3 - 4 + 4*z + 0*z**2 + z. What is m(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**2 + 4*v + 1. Let w(q) = -8*q**2 + 3*q + 2. Let f(k) = -3*s(k) + 2*w(k). Factor f(z).\nAnswer: (z - 1)*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2195 + -2195.0020363. Round x to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(104)*-2*-6)\/((sqrt(72) - (-1*sqrt(72) + sqrt(72))) + sqrt(72)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 977297, 977338, 977379, 977420, 977461, 977502?\nAnswer: 977543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Determine z, given that 5*z**4 + 5*z**l - 4*z**3 + 3*z - 3*z**4 - 4*z - 2*z**2 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.25 in 0.2, -0.4, -7, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16783560 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*i**2 + 15*h**2*i**3 - h**2 + 2*h*i**2 - h*i - 9*i**3 wrt h?\nAnswer: 12*h*i**2 + 30*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 45*k**3 + 46*k**2.\nAnswer: -k**2*(k - 1)*(k + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 930639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -0.47.\nAnswer: 12.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103965, 376726, 831327, 1467768, 2286049?\nAnswer: 3286170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20688, -36800, -52912?\n\"Answer: -16112*y - 4576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442459627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Let j be -3 + u + -6 + 3. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-42))\/(8\/24)*(-22)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*o - 2*o + 0*o)*(0*o**3 - 2*o**3 + o**3) + 3*o + 3*o**4 - 3*o.\nAnswer: 5*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.1. Let v(g) = -g**3 + 14*g**2 + g - 10. Let t be v(14). Which is the nearest to 2? (a) t (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(6)*-2*-1))\/(sqrt(63)\/sqrt(81) - (sqrt(7) + (sqrt(7) - ((sqrt(56)\/(sqrt(24)\/sqrt(3)) - sqrt(7)) + sqrt(7))))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + 206.98. Let v = 2.6 - 3.08. Let y = q + v. What is y rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98.999943 + 99. Round u to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 169*r**2\/2 + 271*r + 81. Differentiate j(m) wrt m.\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6 and -83\/212?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-4))\/(2016\/(-315)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/8824462 and 10\/28713?\nAnswer: 26473386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 16*j**7\/63 - 449*j**6\/90 + 791*j**5\/30 - 49*j**4\/36 - 2155*j. Factor t(q).\nAnswer: q**2*(q - 7)**2*(32*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 8. Let k be -1*(-7 - -8) + -6. Give o(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 633*b + 67. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = -5*q. Let j(h) = -2*h + 0*h - 1 - h**2 - h + 0*h. Give j(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927912 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66, 233, 514, 909?\n\"Answer: 57*p**2 - 4*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (2 + -8)) + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552ab9 (base 12) to base 8.\nAnswer: 5122255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -39. Let n be j*2*46\/56. Let w = -26 + n. Sort w, -2, -1.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 776997, 777022, 777067, 777132?\nAnswer: 777217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -106?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 20. Let f be (-1)\/4 + (-1855)\/(-28). Is (j\/(-4))\/(3\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1692\/(-1269)*(-9)\/(-22).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 94*v**3 + 2*v - 1. Suppose 0 = q - 4 + 58. Let k = 55 + q. List the prime factors of o(k).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125971603 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 74. Suppose 76*k + u = 75*k. Put -12, 2, k in increasing order.\nAnswer: -12, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (2 + -3 - -123)*9\/(54\/1164) and 2?\nAnswer: 23668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*r - 20*r - 17*r + 65)*(-83*r**4 + 153*r**4 + 19*r**4).\nAnswer: 178*r**5 + 5785*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/6 - d. Let j(x) be the third derivative of -x**4\/12 + 91*x**3\/6 - 17*x**2 - 2*x + 23. Determine q(j(r)).\nAnswer: 2*r - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16637743301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 511, -1\/19 in ascending order.\nAnswer: -3, -1\/19, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -7*g**3\/3 + g**2 - 227*g. Let k(d) = -82*d**2. Give a(k(q)).\nAnswer: 1148*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/5 + (-2)\/(-5). Let i be (-3 + 4 - -2) + q. Let g = i + 24. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w. Let j be q(-1). What is the units digit of (11\/3 + j)*18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 + 150. Which is the closest to 0.1? (a) p (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975\/4*b + 375\/4 - 3\/4*b**5 + 51\/4*b**4 + 435\/2*b**2 - 159\/2*b**3 = 0. Calculate b.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 - -11) + -33 + (-21 - -9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*j**2 + 1 + j**2 - 3*j**2 + 3*j**2 + (2*j - 2*j - j)*(-6*j + j + 3*j) - 6396*j**2 + 37*j + 6458*j**2 - 33*j to v + c*j**2 + d*j and give c.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1856 + -20414\/11. Which is the nearest to 1? (a) v (b) 25 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.8 (b) 0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2690\/13, 20.05, -5?\nAnswer: -2690\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428546543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + i - 8, 2*a = -2*a + 4*i - 20. Let q be 3*(a\/(-9) - -2). Suppose 20*t - q*t = -3159. What is t rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y**3 + 167692*y**2 - 167692*y**2.\nAnswer: -47*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 10*z = -11*z - 3, -4*p + 3*z = -9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 30 = 2*y. Suppose -y*b = -25, -6*b = -5*m - 2*b + 5. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/35)\/((-6)\/7) + -4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-7680)\/296 + 1 + 9.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35844 and 1566.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - 12*g**2 + 8*g + 21. Calculate f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21985, 13301, 4617, -4067?\n\"Answer: -8684*s + 30669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/6)\/u)\/(u\/((u\/(u*u\/(u**(-10\/9)*u)))\/u)))**8 assuming u is positive.\nAnswer: u**(-284\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g + 5*g + 2 - 3*g - g - 13*g - 57*g + (4 - 4 + 11)*(3 - g - 3).\nAnswer: -88*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*l + 166901 + 77924. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s**2*u**3 + 3*s*u + u**3 - 39 wrt s.\nAnswer: -8*s*u**3 + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -79. Let t be (-2)\/((q + 2)\/10). Let n = 12 + t. What is the least common multiple of n and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 87, 87, 105, 147, 219, 327, 477?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11580, 46379, 104388, 185607, 290036?\n\"Answer: 11605*o**2 - 16*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 2 + 4 + 44*i.\nAnswer: 44*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290381885 to the nearest integer?\nAnswer: 17041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 257.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 936452743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0a (base 14) to base 8.\nAnswer: -3662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:40 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 381761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*((-1680)\/32)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 4, k: 2, o: 1}. What is prob of sequence kk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -633826.15 times -0.3\nAnswer: 190147.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2. Let l(b) = b**2 + 11*b + 9. Let q be l(-11). Suppose q = 3*a - 6. Let j(s) = a - 5 + s**2. Calculate y(j(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.6067l to millilitres.\nAnswer: 351606.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -74, 0.2833, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0262 * -1\nAnswer: -0.0262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13931, 14103, 14389, 14789, 15303, 15931?\nAnswer: 16673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 28, -654, -1970, -4130, -7344?\nAnswer: -11822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35798465 and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:55 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00714295 to 5 decimal places.\nAnswer: -0.00714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584.179 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = -2*y + 2*l, -5*l = y - 18. Let i(s) = -6*s - 6. Calculate the remainder when 19 is divided by i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sii when three letters picked without replacement from vissizaasaiifiis.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5415644 is divided by 101.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3875261093.89 take away -285?\nAnswer: 3875261378.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.270934242 + -1.2709. What is l rounded to 7 dps?\nAnswer: 0.0000342","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -138*f**3 - f**2 - 7*f - 6. Let z be x(-1). Calculate the common denominator of 41\/84 and (-1070)\/(-1725) - 12\/z.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = -4*r + 3*i, 0*r - 4*i + 204 = 2*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427191190.\nAnswer: 2, 5, 23, 1857353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -438, -0.5, 1\/5 in descending order.\nAnswer: 1\/5, -0.5, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13d71 (base 14) in base 6?\nAnswer: 1020115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 25*c + 92. Suppose -3*z = 0, 2*z - 105 = -5*b - 2*z. What is the thousands digit of i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oton when four letters picked without replacement from {t: 1, n: 3, o: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4650 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-39)\/(-33) + (-1067)\/(-121). Suppose q*f - 34574 - 50845 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.198 + 0.385. Let d = g - 0.117. Which is the closest to 2? (a) d (b) -2\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 1. Let i be b(1). Let z = 1439 - 1433. Solve -2*q + z = -i*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 472, 3\/11, -79?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 276*o**3 + 9720*o**2 - 132300*o + 627750 = 0. Calculate o.\nAnswer: 15, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22232 (base 4) to base 2\nAnswer: 1010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.22 - 2.72. What is the biggest value in 11\/2, -3\/7, 4, t?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 - j**4 - 2*j**4 - 2*j**2 - 59*j + 59*j + 31 wrt j.\nAnswer: -120*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8)*(-7)\/(-3)*-4*(-3)\/(-5)?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/174 and 73\/5853708.\nAnswer: 5853708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 13*d - 15. Let t(f) = -3*f - 15. Let s(b) = -b - 1. Let z(g) = 4*s(g) - t(g). Let r be z(0). What is the units digit of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -677, -678, -679, -680, -681?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2067561 and -26\/513.\nAnswer: 6202683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -47*u + 4. Let w(r) = -48*r + 4. Let j(c) = -7*d(c) + 6*w(c). Let a be j(9). Suppose -3*b - 116 = -a. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (2 + -4))\/(-2). Suppose x*k + 2*d - 12 = -4*k, -2*k - 2*d + 8 = 0. Suppose -u - k*u = -3. Is 1 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 28*q - 8*q. Calculate the smallest common multiple of q and 345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 1. Let c(w) be the first derivative of w**2\/2 - 5*w - 1. Let d(u) = c(u) + 2*o(u). Let x be d(0). Are -4 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 3853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22565367 - 2?\nAnswer: 22565365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31058+0.03\nAnswer: 31058.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -314231 (base 5) to base 16\nAnswer: -2946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*x - 11, -x = 3*f + 9 - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = f - 19, 3*f - 5*g - 42 = -5. Suppose 5*j + 5*m - 25 = 0, j + 4*m - 20 = 2*j. Suppose -f*a = -b - 13, 5*b = 4*a - j*a - 33. Solve -1 - a = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtv when three letters picked without replacement from {t: 2, g: 1, p: 2, r: 1, i: 1, v: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1, 4\/3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeppeeee. Give prob of sequence pepe.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-232)\/(-72) - 2\/9. Suppose 0 = k - 0*y - b*y - 4, 18 = 2*k + 4*y. Calculate the smallest common multiple of k and ((-6)\/(-4) + -1)*8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1913, 1912, 1911, 1910?\n\"Answer: -n + 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207955 is divided by 7142?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/882 - (-2 - (-8)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5513619 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244609\/8 + -30576. Let q = -1.4 + 5.4. What is the closest to 2 in 1, n, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14601 (b) -2\/25 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 8.9. Let t = 52.4 - 52. What is the closest to t in -1\/2, o, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, u: 3, p: 2, c: 1}. Give prob of picking 1 c, 1 p, and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -96.2. Let r = -0.1 - -1.2. Let l = 1.2 - r. Sort 2, d, l in descending order.\nAnswer: 2, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/((-13295)\/(-215379))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12432421303 - 0?\nAnswer: 12432421303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 3744.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 24 = 11. Let s(d) = d**3 + 9*d**2 + 8*d + 4. Let p be s(u). What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times 1.016\nAnswer: -1.2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 269329.18 - 0.1.\nAnswer: 269329.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363226, 363217, 363202, 363181, 363154, 363121?\nAnswer: 363082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**4\/12 - 4*a**3 - 72*a**2 - 576*a + 64. Factor x(l).\nAnswer: -(l + 12)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 361252*u + 1083829. What is i(-3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 = 20*u + 104 - 44 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 29*b - 9. What is the smallest common multiple of u(13) and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 283, 566, 849, 1132, 1415, 1698?\n\"Answer: 283*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5)*(-345)\/(-138))\/((-9)\/33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 3:18 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1050, 1 in descending order.\nAnswer: 1050, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + l**2 - 1)*(-3 + 4 + 0) + (-9*l**2 - 4*l**2 - 11*l**2)*(2 + 4 - 2) to the form v*l + g*l**2 + y and give g.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 4, g: 5}. What is prob of picking 1 g, 2 a, and 1 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 + 0*g**2 - g**2)*(7*g + 0 + 0)*(64*g + 153*g - 59*g) to j*g**3 + l*g**2 + f*g + u + w*g**4 and give w.\nAnswer: -3318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0 (c) 154 (d) -2\/5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**3 - 325*v**2 + 38*v - 76. Let k be z(36). Suppose x = -2*x. What is the fourth smallest value in -11, k, x, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -27. Let t = 3 - q. Sort t, 2, -2 in increasing order.\nAnswer: t, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(((d\/(d\/d**(-2\/7)*d))\/d)\/d)*d*d**(-6)*d**3*d**(-7) assuming d is positive.\nAnswer: d**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5574 + -5570. Which is the fifth biggest value? (a) 3\/4 (b) k (c) -5 (d) -1\/2 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2896.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2*k - 3 - 5 - 2.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -159010 to the nearest 1000.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.454 plus -4.26?\nAnswer: -4.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -12 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 7 = 19. Let b be (-4)\/((-7 - -2) + l). Solve -b*i = -0*j - 5*j + 28, 12 = j - 2*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12425 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 71. Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10517657.\nAnswer: 37, 284261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1073590 divided by 1.\nAnswer: 1073590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.3 (c) -3 (d) -0.2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10997425 is divided by 205?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 6:36 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 332, 893, 1454, 2015?\n\"Answer: 561*b - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 682 = 1423 + 1072. What is the greatest common divisor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -625 + 3119\/5. Let i = -3\/22 + -35\/66. Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2) + 1)\/((-2727)\/7272)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by ((-4)\/(-18))\/(2\/18*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4*r - 20, -45 = 60*r - 58*r + 8*q - 5 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 1. Let t(u) = -u. Let l(a) = 3*i(a) + 5*t(a). Calculate l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5)*j*j**(-3\/4))**36*(j\/j**1*j*j)**(-2\/109)*(j**3*j)\/j**8 assuming j is positive.\nAnswer: j**(24085\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3648, 3708, 3806, 3942, 4116, 4328, 4578?\n\"Answer: 19*h**2 + 3*h + 3626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -143 - (-149 - -91) - (-1 + -26)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 24 = -10*m + 3*f, 3*f = -9. Suppose 6*t - 2*t = m*w - 149, 3*t = -3*w + 135. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - 3*w + 2. Suppose -2*a - 94 = 12. Let y = a - -57. What is the lowest common multiple of y and x(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = -3. Let a be (-6)\/3 - k\/3. Suppose a = -4*t - 12, 0 = w + 3*t - 0 + 6. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 9\nAnswer: 88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1096, 2\/31, 38\/5, 4 in descending order.\nAnswer: 38\/5, 4, 2\/31, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*(-19 + 1). Let r be -3*1\/(l\/253). Let m = -63 + r. Which is the closest to m? (a) 3 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -2\/9*y**3 + 0*y**2 + 2\/15*y**5 + 0*y + 6 + 0*y**4. Find s such that k(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 4*h + 4. Let c(b) = 7*b - 7. Determine -3*c(n) - 5*z(n).\nAnswer: -5*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 23*y. Let q be f(1). Suppose q = -4*o + 91. Suppose -2*i + 15 = 3*l, -5*i + 2 = -3*l + o. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-575 + 1225 + 661)*(-3*w**3 + 5*w**5 + 3*w**3).\nAnswer: 6555*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.144 or -1.4405?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 125*v - 17462053 = -298*v. List the prime factors of v.\nAnswer: 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567) + sqrt(567) + -6*(sqrt(567) - (sqrt(567) + 4)) + sqrt(567) + sqrt(567) - 4*(2*sqrt(567) - sqrt(567)))**2.\nAnswer: 432*sqrt(7) + 1143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let m(a) = -a**2 + 7*a - 5. Let v(i) = i - 1. Let n(r) = m(r) - 6*v(r). Let g(f) = n(f) - p(f). What is the derivative of g(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 41.6. Which is the closest to -0.4? (a) -1\/4 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - (-5 - 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f - 9 = -3*p, 2*f + 9 = 3*p. Suppose 7*t - 25 = 2*t. Let z = f + t. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 291)\/(9\/(-2))*3. What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4*(462\/(-63) - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171\/2 - -88. Let a(i) = i**3 + 5*i**2 - 7*i - 11. Let r be a(-6). What is the third biggest value in o, 0.3, r, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14736 and 10862274.\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*p + 69 = -0*u, -2*u - 41 = 3*p. Let d be (2\/4)\/((-2)\/68). Let a = d - u. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 40656.\nAnswer: 40656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -953b4b3?\nAnswer: -953b4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 11*l**2 + 485 - 433 + 18*l - 11*l**2 + 2*l**4 - 16*l to d*l**3 + r + o*l + u*l**2 + h*l**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*l + 73*l = 72 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 1711 + 521. List the prime factors of c.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(((-1805650)\/(-220))\/(-335))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 - 8*r + 15. Let m be y(4). Let i = m + -47. Solve l = 5*j - i*j - 5, -4*j + 4 = 2*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 2 + (1 - 2). Let m = 5 + w. Let y = -46 - -46.9. Which is greater: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -143, 8372, 5 in ascending order.\nAnswer: -143, -1, 5, 8372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673018003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201011021021 - -12?\nAnswer: -1201011021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/(-106)*16\/(-60)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4.9*0.059\nAnswer: 0.2891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123 is divided by 139.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 12*b = 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40861176 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1175 - -7049\/6. What is the nearest to 1 in 0.06, k, -10, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -24. Let r(x) = 2*x**2 - 4*x - 4. Let u be r(t). Let o = u - 22. Solve -w + o*i = 9 - 32, -3*i - 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:20 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4001*g + 1999*g + 2002*g + 17195*g**2)*(0 + 0 - 2*g)*(0 + 0 + 2).\nAnswer: -68780*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3561396\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/112 and 9\/18530533.\nAnswer: 296488528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2815673 to the nearest 10000.\nAnswer: 2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.82 + 1.9. Let v = 1441791.07999995 - 1441791. Let d = t - v. What is d rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(612)*-2 - (-1*sqrt(612)*5 - sqrt(612))) + -4.\nAnswer: -4 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 20 = -4*j - 9, 2*m = -5*j + 10. Which is the smallest value? (a) -2 (b) m (c) 22 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-10)\/(-5))\/(-10*(-22)\/(-2750))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30 = -0*y. Let d(i) = -y*i + 3*i + i. Determine d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*42*(-13262)\/99465.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703.770375 rounded to two dps?\nAnswer: 1703.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*z - 4, 2*w = -0*w + 3*z + 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22326373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8360*w*z**4 - 11*w*z**3 - w*z + 2*w + 4*z**4 + 2*z**3 + 69586*z**2 wrt z?\nAnswer: -200640*w*z - 66*w + 96*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 11*x + 17. Let o be u(-9). Let s be 32\/o - 36\/(-10). Solve -2*m - 5*z - 9 = -m, 5*z + 21 = -s*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0*d + 2 + 2*d + 3.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357577509.0000139 + 357577197. Let r = -46.1 + 358.1. Let l = r + f. Round l to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 4*d + 5*d)*(-9*d**2 + 8*d - 8*d) to the form m*d + v*d**2 + x*d**3 + o and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 21 = -2*q + 9, -a + 6 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**3\/2 - 24*s. Let c(q) = 11*q**2. What is c(g(l))?\nAnswer: 99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a week?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3002807 + 3002824.0000128. Let j = -17 + u. Round j to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3106343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 12761013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 7*w**2. Let g(r) = -r**2 - 2*r + 5. Let u be g(-3). Let m(b) = -b**u + 127*b - 127*b. What is -f(i) + 6*m(i)?\nAnswer: 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:42 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606257307?\nAnswer: 3, 67361923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1 + 48\/6. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + r)*(54*r + 25*r - 22*r) + (2 - 2 - r**2)*(5 - 2 - 2) - 5*r**2 - 2*r**2 - 3*r**2 - 2*r**2 + 3*r - 3*r in the form k + i*r**2 + o*r and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 + 3*h - 2. What is the units digit of o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 413681682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 166.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -18?\nAnswer: 65\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 852602736833\/3861 + -220824331. Let m = 1086978\/3289 - 7608\/23. Let x = n + m. Find the common denominator of -101\/12 and x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 7\/3340283 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 12*m.\nAnswer: 3*m*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16901 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - 621\/162.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.300025906 - 1?\nAnswer: -55.300025906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from zooooooobztboo.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.091*-2.26.\nAnswer: 162.92566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = m - 17, -12 = 2*a - 4*m + 2. Let g = 14 + a. Suppose v + 312 = 4*s - 2*v, 0 = -g*v. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 8:53 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 - 20*y + 2. Let t(d) = 9*d**2 + 41*d - 4. Let k(v) = -11*o(v) - 6*t(v). Differentiate k(f) wrt f.\nAnswer: 2*f - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168 or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2921 is divided by 485.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 4*o**2 - 2*o + 2. Let m be k(-3). What is the remainder when m\/(68\/69 - 1) is divided by (-4 - (6 + -10) - (-51 - -50))\/(4\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 38. Let d be (10 - i)*(-1)\/(-4). Is d less than or equal to 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (208\/20)\/4 + (-24)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, d: 5, f: 2}. What is prob of picking 3 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179626 is divided by 6908?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 15*y - 96 = -15*y. Solve -4*s + 2*x = 12, -16 = -y*s - 5*x - 0*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1051 and -976055780.25.\nAnswer: -976056831.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 93054527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:42 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 - 15 = 0. Suppose 0 = i*l + 8 - 2. Is l\/4 - (-186)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 11. Let r(f) = 2*f + 22. Let m(n) = -9*h(n) - 4*r(n). Let q be m(-12). What is the units digit of 73\/4 + q\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -19. What are the prime factors of (6\/4)\/(3\/r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -470\/77 + 44\/7. Let v = 0.3 + -2.3. Let l = 3 + v. What is the closest to l in -0.5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147808530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139\/4 + -34. Let n(p) = p**3 - 3*p**2 + 5*p - 16. Let z be n(3). What is the nearest to -2.2 in z, 5, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7943010 * -0.2.\nAnswer: 1588602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 30957*b**3 + 265*b**4 - 5*b**2 + 7 + 41*b**4 - 30957*b**3 as g*b**2 + m*b**4 + y + u*b + n*b**3 and give m.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*u + 28 = -528*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5862458 is divided by 1112.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/2 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -12. Suppose 3*z = -z - 9408. Let b = z + 18787\/8. What is the common denominator of m and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - q + q + (3 - q - 3)*(-3*q + 0*q + 2*q) + (-5*q**2 + q**2 + 3*q**2 + (q - 2 + 2)*(2*q - 4*q + 0*q))*(3 - 5 - 6).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/3 - 1796*i**4\/9 + 8012*i**3\/9 + 484*i**2\/9 - 6800*i\/3 - 1232 = 0. What is i?\nAnswer: -154, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54791 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 + (-118)\/(-10). Let j be (16\/i)\/((-2)\/(-60)). Let z = j - 7. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {v: 2, o: 4, i: 2, p: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/6 and -57\/85?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132479212 divided by 1087.\nAnswer: 121876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 2*l**2 - 9. Let q(i) = 5 + 15*i**2 + i**3 + i**2 - 17*i**2. What is -11*q(f) - 6*y(f)?\nAnswer: f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13094828 and 1836?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 97593692*w**2\/9 - 390374792*w\/9 + 390374800\/9.\nAnswer: 2*(w - 2)**2*(w + 48796850)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -45288\nAnswer: 22644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.029 and -9.1.\nAnswer: -0.2639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5 - 390*t**4 + 3693*t**3 - 11250*t**2 + 10800*t = 0?\nAnswer: 0, 2, 3, 5, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 56. Let v = l - -26. Which is the third smallest value? (a) -1 (b) -0.2 (c) v (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 806 divide 9205326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 261935065?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from ddudbdubddbb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = 11. Put -6, -5, s, 3 in ascending order.\nAnswer: -6, -5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 15\/11, 17, 2\/25, -4, -1\/5?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56191 or -56199?\nAnswer: -56199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 + -1.3. Let z = j - -7.5. Which is the biggest value? (a) 0.2 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, k: 3, j: 6, o: 3}. Give prob of sequence ggoj.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 19442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w**2 + 7*w - 134. Let j(z) = 3*z**2 + 2*z - 33. Let y(k) = -6*d(k) + 26*j(k). What are the prime factors of y(-9)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/12049 and 6.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 133\/6 + (-9)\/54. Suppose 5*n = t - 2. What is the second derivative of 4*v - v + 3*v**2 + v**n - 3*v**2 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -46*m**3 + 2*m**2 - 2*m - 3. Let c(l) = -l**3 + l + 1. Let g(n) = -2*c(n) - k(n). List the prime factors of g(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/4 + 41\/12. Determine s so that 8\/3 + 2\/3*s**2 + t*s = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 8*r**2 + 12*r + 1. Is o(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 2\/13 (c) 4\/5 (d) 0.5 (e) 2 (f) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b + 2 - 11 + 9.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132031412 - 3?\nAnswer: -132031420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542603.\nAnswer: 542603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*q**2*v**3 - 4*q*v**3 + 101*v**3 wrt q?\nAnswer: 26*q*v**3 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287 + -285. Suppose 4*c + 46 = 3*x, -1 = c - 0*c. Calculate the remainder when x is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2432*d - 383. Is s(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*o, 0*o = 5*o - 4*j. Differentiate o*z + 2*z - 9 + 7 wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*z + 2068 + 2818 = 8286 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 y when four letters picked without replacement from {y: 2, a: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = 0, 4*u + 21 = 3*y - 4. Let v(f) = -4*f - 11. Let n be v(u). Let b(h) = h + 1. Let i(r) = -r. Let a(p) = 4*b(p) + 5*i(p). Give a(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h + 1. Let d be j(-4). Let b = -94 + 100. Let u be (-19)\/(-6) + b\/(-36). What is the greatest common divisor of d and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1078, -3, 4 in descending order.\nAnswer: 1078, 4, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.2278 months to millennia.\nAnswer: 0.00218565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -5828.4242531.\nAnswer: -5828.4342531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 + 10*h - 2. Let y(s) = s**2 - s + 1. Let o(r) = m(r) + 6*y(r). Let g = 0 + 5. Give o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(3 - 6) + 5 + 2. Suppose m*b = -1 + 34. What is the derivative of -11*y**2 - 25*y**3 + b*y**2 + 20 wrt y?\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from uuwbbuucp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21315*v - 42704*v - 18982*v**2 + 21389*v.\nAnswer: -18982*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*a*c**3*r - 3*a*c**3 + 42*a*c*r - 52*c**3 - 93*r wrt a?\nAnswer: 56*c**3*r - 3*c**3 + 42*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-264)\/15 - 2\/5. Does 20 divide 120\/((-1)\/(-6)*n\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/20 + t**4\/2 - 3*t**3\/2 - 7*t**2 + 2*t. Let g be m(-7). Let b(p) = 8 + p - 2*p + 0*p. Give b(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 3*t**2. Let n(u) = 4*u**3 - 7*u**2. Let g(a) be the first derivative of 1\/2*a**2 + 1 - a. Let z be g(4). Determine z*n(l) + 7*p(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*o = -2*i - 8, -4*i = 5*o + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -13. Suppose 100 = 2*q - 2*a, -3*q + j*a + 143 = -5. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141941371 to the power of 1\/2, to the nearest integer?\nAnswer: 11914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 52\/5 of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 9 + 3. Suppose 3*l - l = c + 5, -w*l - 5*c = -27. Solve -14 - 2 = -l*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1021 + -1011 - (-2 - -20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-24)\/(-36))\/((-12)\/(-18666))?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*l**2*q**3 - 7677*l**2*q**2 - 2833*l**2 - 85 with respect to q.\nAnswer: 123*l**2*q**2 - 15354*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 9*h**7\/14 - 5*h**4\/12 - 19*h. Find the third derivative of a(t) wrt t.\nAnswer: 1620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 19*j**4 - 8*j**5 + 8*j**3 + 7*j**4 - 4 + 3*j**2 + 14*j**2 = 0. What is j?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 - (5 + -5 + -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = j - 1 - 33, 0 = -3*j - d + 50. Suppose -11 = -m + 2*t, -m + j = t + 1. Suppose 2*h - 25 = m. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/40 + 5*x**4\/24 + 161*x**3\/12 - 165*x**2\/4 + 177*x + 4. Factor b(i).\nAnswer: -(i - 15)*(i - 1)*(i + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -8.4?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16020 by 1602.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36398871?\nAnswer: 3, 4044319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -6*j**2 + 22*j + 3. What is the derivative of q(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-q - q + q)*(4 - 6 + 4) + (-q - q + 3*q)*((6 - 1 - 3)*(-3 + 0 + 2) + 126 - 34 + 56) as y*q + g and give y.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 + 7 = 0. Let g(l) = l**3 - 5*l**2 - 4*l - 1. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -773591000 to the nearest 1000000.\nAnswer: -774000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -800*q**2 - 4008*q - 21. Give b(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 18*q**3 + q**3 - 5*q**3.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 10. What is the greatest common factor of 8 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -611 (base 11) to base 14\nAnswer: -3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - -77. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171011*-0.2.\nAnswer: -34202.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11000011001010 (base 2) to base 7\nAnswer: -51262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p**7\/p)\/p))*p**8)\/((p\/(p**(1\/2)\/p))\/p**(1\/4))*p**(-2\/5)*p\/p**(-5)*p*((p**(-2)*p*p)\/p)**(2\/3) assuming p is positive.\nAnswer: p**(1061\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**4)**(-2\/3)*(i**(-6))**(34\/3))**(-6) assuming i is positive.\nAnswer: i**428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 3*n**4\/4 - 7*n**3\/2 + 8*n**2 + 8*n. Calculate z(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 204\/(-24))*(3 + 63\/3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 747?\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.11527.\nAnswer: 0.011527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29224588, -58449162, -87673736?\nAnswer: -116898310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 3. Suppose -8*o = s*o - 90. Suppose 10 - 40 = -o*g. Solve 3*c = -j, 5*j - 4 = -5*c + g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14354*p**2 + 10*p - 45. Let w(g) = -21531*g**2 - 16*g + 72. What is 5*w(k) + 8*z(k)?\nAnswer: 7177*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:49 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 4*q**2 - q. Let h be t(5). Suppose 11*k - 140 = 4*k. What is the highest common divisor of h and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 5*a**2 + 19*a - 26. What are the prime factors of d(-10)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.713 and -382.\nAnswer: -2946.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6, 144 in descending order.\nAnswer: 144, 6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = -14. Is 2\/p - (-22)\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 607*2\/(-8) - (-7)\/(-28). Let d = 155 + n. Solve -5*i = -2*o + 1, -19 = -d*i - i - 5*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {g: 2, u: 2, x: 5, f: 1, a: 4, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76182624 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-18)\/(-864))\/((-30)\/(-96)*-8)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2529, 3877, 5225, 6573, 7921?\n\"Answer: 1348*y + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 3)*4\/8. Suppose p*b = -4*b - 24. What is the tens digit of 3*(-94)\/b - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227273426.64999794 + -227273646.65. Let x = d - -220. Round x to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:38 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14*(29763\/315 + 14\/(-70)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, -2, 2\/211 in ascending order.\nAnswer: -2, -0.5, 2\/211, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 0.3, -0.2, -3 in decreasing order.\nAnswer: 64, 0.3, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 4*k**2 + 2*k + 4. Let m be o(-4). Let a(x) = x**2 + 4*x + 2. Let w be a(m). Suppose -w*g + 16 = 4. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4 + c**3 + 13*c**2 - c - 12 = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 6*b**2 - 6*b + 8. Let u be j(-7). Solve d = 3 - u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k**2 - k + 17. Let n(d) = 9*d**2 - 12. Give 8*n(b) + 5*v(b).\nAnswer: 2*b**2 - 5*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/28520620 and -41\/45632992.\nAnswer: 228164960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -4. Let l = u - -80.0000071. What is l rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/7 + -3 + 2\/14. Let z(n) be the third derivative of g + 0*n + 9*n**2 + 1\/120*n**5 + 1\/6*n**3 + 1\/16*n**4. Suppose z(b) = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*5744.9.\nAnswer: -1723.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-5))\/((-1)\/5). Let u = 9 - p. Suppose u*a + 5*c = 25, 3*a + a + c = 35. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -15. Let n = 6 - v. Let s be (-3 + -1 + -1)*-1. Which is the third biggest value? (a) s (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 20*i. Let p(w) = 22*w. Calculate t(p(s)).\nAnswer: 440*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 801255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.14 + 0.34. Let k = j + -3.2. What is the closest to -0.1 in -1, k, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 2271300*m + 4542616.\nAnswer: -4*(m - 2)*(m + 567827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 162615 (base 9) in base 16?\nAnswer: 18815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4*352\/(-594) - -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/66 and -79\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i + 14*i = 25*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 4*m + 3*m - 27*m**2 + 2*m - 7*m.\nAnswer: -27*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253\/30 + -53\/6. Let w = -4\/241 + -446\/2169. Let s = 3 - 2. Which is the nearest to h? (a) w (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66204968 and 2584?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 545 and 35970.\nAnswer: 35970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18\/264*-4*5\/10*-2\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*-1*sqrt(143))\/(sqrt(176) - sqrt(176)*-2 - (sqrt(66)*2)\/sqrt(6)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.210974 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 1, -56?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -161\/5. Let u be -1 - ((-8 - -4) + 6). What is the third smallest value in -0.3, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/10 and -79\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - y**3 + 2*y**3)*(440 - 13*y**2 - 440) + (-2*y - 4*y + 4*y)*(3*y**4 - 3*y**4 - 2*y**4) - y**5 - 2*y**5 + 2*y**5.\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -6*u. Let m(a) = -a + 70 - u*a**2 - 72 - 6*a**3 - 5*a**3. What is the tens digit of m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49726*w = -c + 49745*w + 187, 0 = 2*c - 3*w - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:43 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21936884 + -4?\nAnswer: 21936880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 252, -2\/7, -4, -6, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + 10745?\nAnswer: 10758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 + -67. Let r(l) = -2*l**3 - 2*l**2 - l + 2. Let i be r(-2). Calculate the greatest common divisor of i and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 65*f + 700.\nAnswer: -5*(f - 7)*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -1\/15*k**5 + 14*k**2 + 0*k + 1\/120*k**6 + 0 + 0*k**3 + 1\/8*k**4. Factor p(q).\nAnswer: q*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -605*v + 20545. Determine i(34).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.807 + -0.307. Sort -2\/31, 0, r in descending order.\nAnswer: r, 0, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:28 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 - 7*p**3 + 65*p**3.\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -6, -3, -1260, 0, 2.\nAnswer: -1260, -6, -3, 0, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56034219 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 26 + 2 = 0. Let t be (0 + 2)\/(i + 80\/12). Let q be ((-20)\/t)\/((-12)\/54). Solve -4*z = -3*z - 4*v + 1, 5*z = -5*v - q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -168?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -71*b + 6. Suppose -2*i + 5*p - 25 = 3*i, -3 = 2*i + 5*p. Let u be y(i). What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -29 + 1\/(1\/2) + -3. Let y = 33 + f. Solve -y = -3*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 - 4*h**3 - 4*h**3 - 187 + 0*h**3.\nAnswer: -h**3 - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:08 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*c + 8*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h)*(-1 + 3*h - 9*h + 10*h).\nAnswer: -4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62860 or 16?\nAnswer: 62860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28702 - 28314. Which is bigger: s or 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3093, -3083, -3071, -3057, -3041, -3023?\nAnswer: -3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4509 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(612) + 1 + sqrt(612) + 2)*6 - (sqrt(612) - (sqrt(612) + -3 + -1 + sqrt(612)) - (sqrt(612) + 2*(sqrt(612) - -2*sqrt(612)) + sqrt(612))))**2.\nAnswer: 3528*sqrt(17) + 270086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 3 (c) -83.3618 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*n - 3*n - 5*n)*(0 - 3 - 7)*(-18*n - 2*n**2 + 0*n**2 + 3*n**2).\nAnswer: -440*n**3 + 7920*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 12 + 1\/12*w**4 - 6*w**2 + 0*w**3 + 0*w. Let u(i) = -14*i**2 + 31*i**2 + 15*i**2. Calculate u(h(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216.67 - 203.1. Let l = 13.2 - x. Which is the smallest value? (a) 2\/5 (b) l (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -34*x + 2547. Give s(74).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -4. Suppose 2*j = h - 23, 5*h - f - 59 = -j. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.2 and -289?\nAnswer: 1213.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6*i. Let c be -10 + 6 - (-1 + -21). Solve 3*y - c + 6 = i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 13*c**2 + 14*c + 5. Let i be n(-14). Suppose 5*s - 51 = -v, -s - 2*v + i = -7. Do s and 68\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**4)**(4\/21)\/(c\/(c*c\/c**(3\/14))*c**8) assuming c is positive.\nAnswer: c**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 817\/7. Let m = 85 + -112.6. Let o = 26.6 + m. Put o, j, -1\/3, 2\/15 in ascending order.\nAnswer: o, -1\/3, 2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 + 5*a**3\/6 - 5*a**2\/2 + 2*a. Let q(d) = d**2 + 5*d - 4. Let m(p) = -5*q(p) + 4*w(p). Determine m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658, -1354, -2084, -2848, -3646, -4478, -5344?\nAnswer: -6244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2839 - -1953. List the prime factors of c.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a year in months?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 - 219 = -t. Let h be 3 + 44\/(-8) - t\/(-3). Suppose h*o**3 + 0 - 1\/2*o**5 + 1\/2*o**2 - 1\/2*o**4 + 0*o = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-3)*12\/9. Let t = 2028 + -2024. Solve 2 = 2*q, -o*l - 5 = -t*q - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406663179 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: Is 32393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(-9)\/6. Let u be -1 + -1 + 7 - f. Suppose -u*w = -34 + 10. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -25. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -7*a + 5*a. Let q = a + 1. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -98 - 28. Suppose -l*h + 85610 = -0*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) -93 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-21.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 344*3\/(-72)*-9. Solve 125*k = j*k + 5*u, -5*k = 2*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 6. Let g(j) = 2*j - 8. Let t = -18 - -25. Let i be g(t). Determine c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -445046146?\nAnswer: 445046153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-30)\/5)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 224*f**4 - 20*f**4 + 0*f**3 + 313*f**4 + (-4*f**4 + 3*f**4 + 0*f**4)*(0 + 5 - 1).\nAnswer: 513*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqmqqjjiqjm. Give prob of sequence qjj.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 2, s: 2, e: 4, v: 1, o: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 5. Let l(j) = -7*j + 4. Let v(m) = 50*m - 30. Let x(u) = -15*l(u) - 2*v(u). Calculate x(p(y)).\nAnswer: 10*y + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -348424 or -348639?\nAnswer: -348639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66953799 is divided by 2548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-23)*w**(-1\/15)\/(w\/w**(-6\/13)) assuming w is positive.\nAnswer: w**(-9268\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 580*h - 3539 - 808 - 6093 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5\/23, 2, -1\/16, -0.2, -35, 57\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4\/7 - 688*u**3\/7 - 4*u**2\/7 + 688*u\/7 = 0.\nAnswer: -1, 0, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1060660 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118894151*s**5 - 2*s**3 + 96*s**2 + 860697*s + 2?\nAnswer: -7133649060*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (363\/(-231))\/(4\/(-28)) + 1\/3. Which is the nearest to -2\/3? (a) s (b) 21 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2834 - -1508. Let u = x - -2123. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**4 + 2*u**4 - 2*u**4)*(4 + 2 - 1) in the form p*u**3 + j*u**4 + x + m*u**2 + l*u and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*i**3*x**3 + 2*i**3 - i**2*x**3 + 847*i**2*x + 3*x**3 wrt x.\nAnswer: 426*i**3*x - 6*i**2*x + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13403551 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away -0.0482?\nAnswer: -0.6518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 2*x**2 + 161 - 52 - 58.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14684 by -187.\nAnswer: 14684\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110724.1 - 110724. Let g be 1*-1*(2 - 6). Let m = 1\/295 + -597\/2065. What is the nearest to z in 2\/9, m, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47499 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*m + 20, 3*w - 3*m - 2 = 1. Let f = w - -1. What is the second derivative of 2*h**2 + h + 3*h - f*h - 5*h wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4 + 50*b**2 + 11*b*r**2 + 2134*r**2 wrt b.\nAnswer: 4*b**3 + 100*b + 11*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1016614*j**6 - 310950*j**2 wrt j.\nAnswer: -121993680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 404*i**2 - 4632*i - 13680.\nAnswer: -2*(i + 6)**2*(i + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2185.888 + 2206. Let u = o - 20. Let p = u - 0.065. Round p to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101 - 0.32.\nAnswer: -101.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -7 - (-2 + -1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 (base 13) in base 3?\nAnswer: 10022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 4\/45*s**5 - 2\/135*s**6 + 0*s**2 - 1\/27*s**4 + 19 + 3*s - 4\/9*s**3. Let j(n) = 0. Calculate n.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -9, 26 in decreasing order.\nAnswer: 26, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138492382 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**3 - b**3 - 3*b**3)*(8 - 3 + 1)*(41 + 72 - 9 + 22) in the form o*b**3 + v*b**2 + g + h*b and give o.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0.025, -1\/11 in descending order.\nAnswer: 5, 0.025, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 j when three letters picked without replacement from anneyjennenjjnney?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-34)\/(-170)*(-10)\/(-12)*342\/9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -405?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, 1 u, and 1 g when four letters picked without replacement from {y: 3, h: 4, u: 1, b: 4, g: 2}.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 747456.\nAnswer: 747456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10448 and 1034816?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 7. Let d be (-3)\/(6\/(-8)) - (17 - 20). Solve d*s - 4*s + c = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 9*i - 3. Let h = 7 + -2. Let c be q(h). Let w be (-2)\/(-6) + c\/3. Solve -2*k + w*k = -8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214535 and 535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 2. Let x = -52.2 + 50.2. Sort v, 3, -2\/11, x in decreasing order.\nAnswer: 3, -2\/11, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 4. Let u be (-6)\/(-4)*8\/6. Let y be l(u). Sort 0.4, y, -2, -1.\nAnswer: -2, -1, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 13*g**2 + 4*g**4 + g**4 + (-g**2 + 3 - 3)*(-7*g + 15*g - g**2 - 15*g).\nAnswer: 4*g**4 + 7*g**3 - 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26963 is divided by 8986.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.9, 5, -2\/11, 164?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/147 in 0.4, 2, -0.4, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 18074.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-2)\/((-1)\/1)). Suppose -207*o - 845 = 190. What is the nearest to -2 in x, o, 0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 + 8*w**4 + 28*w**3 - 32*w**2 - 48*w = 0. What is w?\nAnswer: -2, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -271 (c) -4\/3 (d) 1.7 (e) -145\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 - c**2 + 3 + 2*c**2 - 2*c**2 + 7 + 5*c. What is g(9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.07 + -0.07. Let y = 51.9 - 52. Which is the closest to -2\/11? (a) y (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 361 + -355. Suppose 4*d - d + v = 0. Which is the second biggest value? (a) 0 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:02 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1\/155, 4 in increasing order.\nAnswer: 1\/155, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -22117\/1464?\nAnswer: -22117\/1464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 211, -2\/5, 13, -0.1?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -38*f. Let s(a) = -1636*a**2 + 3*a. Determine s(o(z)).\nAnswer: -2362384*z**2 - 114*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5966\/21 - -851\/3. Let r = 2.95 + 0.05. Which is the third smallest value? (a) -15 (b) r (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2758, 6787, 13512, 22939, 35074?\n\"Answer: x**3 + 1342*x**2 - 4*x + 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8589 or 1\/669?\nAnswer: 1\/669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482 greater than 2823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 4635*r**2 + 18504*r + 18492.\nAnswer: 3*(r + 2)**2*(r + 1541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 - 1479*p - 3*p**2 + 3 - 2*p**4 + 4429*p - 1477*p - 1476*p - 2*p**3 in the form o*p + m + d*p**4 + l*p**2 + w*p**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34503, 34485, 34467, 34449?\nAnswer: 34431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022631 is divided by 511179.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 0)*(2*p**2 - 3*p**2 + 3*p**2) + 6*p**2 - 3*p**2 - 4*p**2 as g*p**2 + u + l*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/60 + n**5\/30 - n**4\/12 - n**3\/2 - 40*n**2. Let b be (-2 - 1) + 12\/(-6). Let z = 3 + b. Calculate x(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 49. Suppose 4*d - 258 = -5*z, 0 = -3*z - d - v*d + 150. Let i = z - 41. What is the remainder when 37 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.801 minus 487.48?\nAnswer: -444.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313210311 - 1?\nAnswer: -1313210312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 153.00122. What is g rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 + 3 = 2*j, 2*b + 4*j - 24 = 0. Solve -2*q = -4*v + b, -3*q + 16 = q + 2*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 4*n**2 + 5*n + 44. Let u be g(6). Solve 5*k - 10 = 5*m, m = u*k + 4*m - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 4. Let f(n) = -5*n + 5. Let u(x) = -2*f(x) + 3*w(x). Calculate u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10180794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2 + sqrt(325) - (sqrt(52)\/sqrt(4) + -4))*-6.\nAnswer: -30*sqrt(13) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - 0.55. Let c = -222 + 224. Sort c, 0.5, x, -7 in increasing order.\nAnswer: -7, x, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2 (b) -203522 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-105)\/20)*(-252)\/616?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 238*b + 21937. Determine o(-71).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 116 (b) 2398 (c) -2\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1509182.3417 + -1509103. Let y = g - -0.0583. Let b = y + -66. What is b rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1998*k**2 + 4562 wrt k.\nAnswer: 3996*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 339, 1374, 3101, 5520?\n\"Answer: 346*x**2 - 3*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 260012, 260015, 260022, 260033, 260048, 260067, 260090?\n\"Answer: 2*u**2 - 3*u + 260013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-30) - 7\/(-5). Let k(l) = 1 + 2*l + j - 2. Let t(x) = -2*x. What is t(k(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/15)*b**9*b\/(b\/(b**2*b*b))*b**(1\/3) assuming b is positive.\nAnswer: b**(202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 1545384 = 0. Suppose -3*q + o = -z, 0 = 3*z + 4*q - q + 1545444. Let l = -235143 - z. Round l to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 11*s**3 + 550*s - 10*s**3 to the form a*s**2 + r*s + v*s**3 + d and give r.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*b - 7*b + 10526 + 3100 + 6558 = 0 for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 3c934?\nAnswer: -3c931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6)*-7*3\/(-2). Let g(n) = -9*n**2 - 7*n**2 + q*n**2. Let r(y) = -2 + 3*y + 2. What is r(g(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 3, c: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15053971 is divided by 311?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 2*q**2 - 4*q**2 + (-5*q + 4*q + 0*q)*(39 + 11*q - 39).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175447935 divided by -15?\nAnswer: -11696529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 527, 530, 533?\n\"Answer: 3*a + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-10) - (-4)\/(-10). Let x(n) = -3*n**2 + 4*n**2 + n + v*n**3 + 3*n**3 + 1. Give x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8395*x**2 + 46. Let b(y) = 34*y. What is v(b(p))?\nAnswer: 9704620*p**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (17 - 7) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.5183 to zero decimal places.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -4. Determine r, given that -4*r**4 + 4*r**2 + 12*r**4 - 10*r**3 - 2*r**5 + 0*r**n = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 8*k = -4*k - 8, 6 = -3*i - 2*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1319 divide 13646110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -174?\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5085 in -0.5, 1\/4, 2\/19, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 11*n**2 + 2*n + 112. Let d be x(12). Sort d, 1, -1.4.\nAnswer: d, -1.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1575\/4 + 5\/4*u**2 - 145\/2*u.\nAnswer: 5*(u - 63)*(u + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 5*a**2 - a - 1. Let w(t) = 4*t**3 + 4*t**2 + t. Let f(j) = -2*c(j) - 3*w(j). What is f(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 222\/9 + (-23)\/6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*s - 1067 = -77 + 900 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/683, -6, -1\/246 in ascending order.\nAnswer: -6, -0.4, -3\/683, -1\/246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214 (base 8) to base 5.\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -497216\nAnswer: 1\/124304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 d when three letters picked without replacement from {d: 4, i: 2, u: 2, m: 1, h: 1, g: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 43 = 5*v, -4*v + 35 + 0 = 3*o. Suppose 0 = v*j - 9*j. Solve j = -2*k + 10, 0 = -3*y - k + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let i(r) be the third derivative of -r**5\/10 + r**2. Calculate i(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 98*c + 1342. Determine s(17).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*s = 30, 3*a + 21 + 0 = 3*s. Let k = 0.04 + -0.06. Let n = k + -0.98. What is the nearest to 8 in n, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-20)*-16 + 0. Sort -1, 5, 4, p.\nAnswer: p, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -20 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n. Let q be y(-3). Suppose 4*b = 4, -7*l + 2*b = -3*l + 1634. Calculate the remainder when 48 is divided by q\/4*l\/(-36).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 6, g: 2, n: 4, v: 3, i: 4}. What is prob of sequence gnqg?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 42*(-4)\/(-8). Let i = 274 - 40. Let r = m + i. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829071361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(56)\/sqrt(8)*-6))\/((2*sqrt(75) + sqrt(3) - sqrt(3)) + sqrt(75) + sqrt(75)*2)*-5.\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874981779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.97 - -37.97. What is the closest to -8 in -1\/3, 3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2 = -2*a - 10, d - 10 = 3*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-7) - (2 - (-72)\/(-42))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*n*p**2*v - 3*n*p**2*x - 50*n*p**2 + 3*n*p*v**2 + 5*p**2*v*x wrt v.\nAnswer: 10*n*p**2 + 6*n*p*v + 5*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -4 (c) 749 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 83*w**2 + 1680*w + 1764.\nAnswer: (w - 42)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**2 - 62*a**2 + 18481 + 21*a**2 + 20*a**2 - 3506.\nAnswer: -a**2 + 14975","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 + -4 + 7) - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7080763 is divided by 1368.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9648803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041789 to six dps.\nAnswer: -0.000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -4 - (5 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 2*g**2 - g**2 + 7*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (402*d - 400*d + 69 + 1)*(3*d + 5*d - 5*d) to f*d + x*d**2 + q and give f.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c + 0*c)*(288*c**2 + 159*c**2 + 168*c**2 + (c + c - c)*(-c + 2*c - 3*c)).\nAnswer: 1226*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3 (c) 0.1 (d) 0.4 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 32224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.02 - 27.\nAnswer: -29.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 4\/515, 24\/25, -4?\nAnswer: 24\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24109 - 24102. Suppose -4*s - 10 = -x - 3, x + 3*s - 35 = 0. What is the remainder when x is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssxf when four letters picked without replacement from {x: 4, s: 2, f: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 + 638 = 22*y. What is the highest common divisor of 18 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 - 69982388*v = 0.\nAnswer: -34991194, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252)*-1)**2.\nAnswer: 60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1414, 3857, 7340, 11887, 17522, 24269, 32152, 41195?\n\"Answer: 4*t**3 + 496*t**2 + 927*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/5*56*(-111)\/12432.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 8*f**2 + f - 2. Let p(q) = 3*q**2 - 2*q + 3. Let m be p(3). Let o = -21 + m. Suppose -o = -2*s - 19. Give k(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232 + 281. Calculate the remainder when j is divided by (1\/2)\/(8\/208).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84333726 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 8827, 4, 11 in ascending order.\nAnswer: -29, 4, 11, 8827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -784 equal to -779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 - 17*r - 9. Let d(g) = -3*g**2 - 16*g - 8. Let z(b) = -5*d(b) + 4*m(b). Is z(11) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11553 + -11553.2. What is the closest to -1452 in p, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b + i, -10 = 4*i - 30. Let s be (-1)\/2 - b\/(-6). Let m(j) = -7*j**3 - j**2 + j + 2. Let k be m(s). Let p(q) = -q. What is p(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 3*y - 3*y + 6*y**2 - y**2 + 3*y**2 + (-4*y - 5 + 5)*(4318 - 87*y - 4318).\nAnswer: 357*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 = -5*h. Let d(s) = -s + 1. Let k(b) = -b**3 + 5*b**2 - 9*b + 9. Let j(u) = 4*d(u) - k(u). Determine j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 5*a**2 - 4*a - 5. Suppose 7*j = 2*r + 32, -j + 7*r + 14 = 2*r. Determine b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21) - ((-115)\/(-15) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674\/977215 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 764 + -445. Suppose 5*u - a = -2*b, 0 = -3*u - 2*b + b + 192. Suppose -3*k = -2*z + 20 + u, 4*z - 215 = -3*k. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cekv when four letters picked without replacement from {y: 6, e: 2, c: 7, v: 4, k: 1}?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3089?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116696*g**3*x**3 - 1107*g**3*x**2 - 92*g**3*x + g**3 - 39*g**2*x - 7136*g*x wrt x?\nAnswer: 700176*g**3*x - 2214*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 553165\/28 - 19759. What is the common denominator of 0 + 0 + 34\/(-36) and r?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 23. Let x(c) = c**2 + 13*c - 18. Let y be x(-15). Let p be a(y). Let v = 89 + p. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**2*j**3 - 932*c**2*j**2 - 223*j**3 wrt j?\nAnswer: 24*c**2 - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 273643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 17 = -s, -44 = -4*s - 4*i - 16. Suppose 3*w + s*w - 12 = 0. Solve -2*m + w*f - 5 = 3, 0 = -4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y. Let o(j) = -j - 2. Let m be (-8)\/(-6) - 32\/(-48). What is m*i(a) - 2*o(a)?\nAnswer: 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Let y be -3720 - (w\/(-2))\/(-2). Let z = y - -52145\/14. Find the common denominator of 85\/12 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(0 - -2 - 3). Let z be 8\/(-52) - ((-9966)\/(-286) + -30). Sort 5, y, z in descending order.\nAnswer: 5, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 5*d + 40. Calculate the greatest common factor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4 - -1) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssspcocrskk. What is prob of picking 1 c and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 274\/(-8) - 2\/(-8). List the prime factors of r\/(-6) - (-6)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwyi when four letters picked without replacement from {i: 10, w: 3, k: 1, t: 2, y: 3}?\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2. Let w(u) = u + 11. Let f(m) = 2*w(m) + 11*y(m). Let x(r) be the third derivative of -r**4\/12 - 16*r**2. Calculate f(x(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p\/(p*p**(-20)))*p**(13\/3)*(p\/p**22*p)\/p**(1\/6) assuming p is positive.\nAnswer: p**(-203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15618371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 4. Let r be t(3). Let l be -14*(24\/r + 0). Let m be (2\/6)\/(l\/(-180)). Put 1, 5, m in decreasing order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.9846 rounded to the nearest integer?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 77 = 0, -3*a - 22*k - 431 = -277 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 13 = 2. What is the greatest common factor of 88 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.4 and -0.12.\nAnswer: 1.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4348.695 + 4350.1949995. Let u = -1.5 + l. Round u to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2100 by -420.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1059 + -1031. Suppose 27*z + 5*c + 21 = 26*z, 2*z = c + 13. Solve z*u = -3*u + i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, j: 3, x: 1, p: 3, o: 1, d: 6}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -870947.1 and -939.002?\nAnswer: 870008.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77431 times 2310?\nAnswer: 178865610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 3) in base 2?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*k + 5*q, 410*q = -5*k + 412*q + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*p - 569, -d + 4*p + 187 = -92. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**3 + 236108*t**2 - 944384*t + 944368 = 0.\nAnswer: 2, 59023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106527?\nAnswer: 3, 35509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41372500 and 3350?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 + -2 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2732558 is divided by 1539.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 18*c = -25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 61513 = 62311 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -22*l + 471688. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4792?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002658542 to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)\/j*j)\/(j**(-5)*j))\/(j**(2\/5)\/j)**(-6\/7)*(j**(-1\/2))**24\/((j*j\/(j\/((j**(3\/2)*j)\/j)))\/j*j*j**(1\/4)*j) assuming j is positive.\nAnswer: j**(-5431\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slks when four letters picked without replacement from bssdksl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 6. Let h = w - 12. Put h, -4, 0 in increasing order.\nAnswer: -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2905587?\nAnswer: 3, 47, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Suppose -j*a + 65 = -5. Suppose 5*y - 3*f = 55, -y - 3*y + 4*f = -36. Calculate the highest common divisor of y and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -49, 3\/7, 1, 3\/2, -1\/6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165.71705 + -14.\nAnswer: 151.71705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 763 divided by -763\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + m - 14 + 39, -m = -2*z + 10. Suppose 3*o - 4 = -5*j, 3*j + j + 19 = z*o. Solve -h - o*x + x = -14, 0 = -x + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*l**3 + 2 + l**3 - 2 + 2*l**3 + 2 - l**3 - 3*l**3 + l**3 + (2*l**3 - 1 + 1)*(1 - 6 + 4) to the form v + o*l + i*l**3 + b*l**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 5\/8 (c) -1\/4 (d) 2\/5 (e) 98903 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25922 = -110*o - 17892 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6321, -12638, -18943, -25236, -31517, -37786, -44043?\nAnswer: -50288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 + -2 - -2 - -145169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/(819315\/170))\/(4\/(-6)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*q + 24, -5*q - 7 = -2. Suppose -c*d + 1 = -11. Calculate the remainder when 8 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*m + 24. What is the smallest common multiple of 22 and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(104) + sqrt(26))\/sqrt(2)) + 4 + sqrt(52) - ((-5 + sqrt(65)\/sqrt(5))**2 + -2))*-5.\nAnswer: -50*sqrt(13) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1146939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1125653\/138 + -24476\/3. Calculate the common denominator of -143\/12 and h.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 29*u + 9*u - 15930 = 0. Solve -u*f = -342*f - 36 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -59, -0.6, -4, -6397?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 + 4 = 0. Let v(d) = -3*d**3 - d - 1. Let x be v(r). What is the second derivative of -7 + 7 + g - 5*g + 5*g**x wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 580*n**2. Let l(o) = -8*o. What is l(i(s))?\nAnswer: -4640*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080 + 2764 = 31*s + 225 + 333 for s.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.37805 - -11?\nAnswer: 220.37805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 2 + 38 = 0. Suppose 5*c + 4 = r*q - 12, -4*q + 28 = -2*c. Find the second derivative of 16*s**4 + 11*s + 7*s + q*s**4 + 4*s**4 wrt s.\nAnswer: 348*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 19*x. Let c(k) = 116*k**2 - 2511*k. Calculate o(c(j)).\nAnswer: 2204*j**2 - 47709*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1094716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2160 + -2160. Let a(z) be the third derivative of 2\/3*z**3 + 0*z**4 + 0 - 1\/4*z**5 + i*z - 8*z**2. Differentiate a(q) with respect to q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -789, 36, 0 in descending order.\nAnswer: 36, 3, 0, -789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1896.5.\nAnswer: -1896.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -55. Suppose p*o = 15*o - 2673. Suppose 3*c - 66 = o. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hghgghp. Give prob of sequence gpgg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.4 - -16. Let g = j - -4. Let h = 14.1 - 9.1. What is the biggest value in g, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-56)*(-525)\/(-150)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(800) + 1 - sqrt(800))**2 + 2 - (2 + 1 + sqrt(32) + 0 + 5)**2).\nAnswer: -384 - 256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*l + 32567, -m + 1102 = -5*l - 5393. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-6*(-30)\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x + 0 + 0)*(2*x**2 + x**2 - x**2) + 2*x - 3*x**3 - 2*x - 2*x)*(2 - 3 + 0).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*y - 40 = 0, 4*y - 30 - 42 = 4*o. Let t = 14 + o. Suppose s + t*s - 29 = 0. What is the remainder when s is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 316 = 164. Suppose -3*a - 8 + 2 = 0, 5*a = -5*b - 25. Let y(p) = -14*p - 2. Let v be y(b). What is the highest common factor of v and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 603402 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00885 to four dps.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 2*v**2 - v - 1. Let t be (2\/4)\/((-19)\/(-38)). Let j be c(t). Solve 2*h + 2*h - j*i - 11 = 0, 1 = -i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9139*q**4*u**3 + 271*q**4*u**2 + 5*q**2*u**3 - 22*q**2*u - 357*u**3 - 2*u**2 - 4 wrt q?\nAnswer: -219336*q*u**3 + 6504*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/43 + 1474\/1161. Which is the second biggest value? (a) 1\/3 (b) u (c) -0.11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -182877*h = 3*a - 182923*h + 271, 4*a + 100 = -4*h for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 4*j - 7. Let o be t(-3). Let y(k) = -19*k - 42. Is y(o) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/120 - 17*c**5\/60 - 5*c**4\/6 + 15*c**3\/2 - 28*c**2. Let i be t(18). Solve -2*s + i = -5*s, 0 = -3*g + 5*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 10. Let a be i(6). Let m(f) be the second derivative of f**4\/12 + f**3 + 3*f**2 - 14*f. Give m(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16870795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -113d - -c?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k - 3*z = -45, 3*z = -k + 9. What is the smallest common multiple of k and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32844 and 55338?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -99*s + 11. Let h(g) = 296*g - 34. Let d(n) = -3*h(n) - 8*p(n). Let r be d(-1). Let y = r + -103. Solve 5*u + y = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*9\/((-180)\/(-8)). Suppose 0*z - z + 5*q - 18 = 0, -l*z + 28 = 5*q. Solve z = -2*s + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 784*y**3 - 73*y**2 + 16*y + 775685.\nAnswer: 2352*y**2 - 146*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6 - 0. Suppose 0 = -s*o - o + 24. Let r be (0 - -3)\/(-9 - (-105)\/10). What is the highest common factor of o and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1774 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6961791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2\/7 - 1028976*j\/7 - 10290060\/7 = 0 for j.\nAnswer: -10, 343002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 5*m**2 + 6*m + 5. Let k be f(6). Suppose k*v = 3*v + 64. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -551*s**5 + 3*s**2 - 16*s - 4 wrt s?\nAnswer: -33060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + d + 15, -z - 2*d = -6*d - 30. Let n(i) = i - 6. Let c be n(z). What is the first derivative of -5*s**4 + 386 + 17*s**c - 362 wrt s?\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from qddqdqqqqqq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 13 + 10)*(-233 + 233 + 99*o) - 2*o + 2*o + o + (2*o - 4 + 4)*(-4 + 0 + 3).\nAnswer: 1088*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836736 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let j(w) = w. Calculate 2*j(x) + z(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2145703225?\nAnswer: 5, 41, 43, 89, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 3*u + 1 - 6 = 0, 4*u - 17 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144153 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2151863700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6.6. Let l = 2.8 - p. Let t = 0.2 - l. What is the closest to -2\/5 in t, -2\/23, 0?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89944783 and 0.2.\nAnswer: 17988956.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4.5. Suppose 2*o + z - 4 = 0, 0 = -o - z + 3*z + 12. Which is the third biggest value? (a) o (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6171000 and 33\/21760?\nAnswer: 197472000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412556*o**2 - 413212*o**2 + 824945*o**2.\nAnswer: -823*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 10. Let x be (402\/8)\/((-4)\/(-16)). Let z = -89 + x. Calculate the greatest common divisor of i and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 58464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22575 is divided by 505.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - ab7?\nAnswer: -ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -73, -70, -65, -58?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 3*k**3 + k**3)*(2 - k - 2 + (-10*k + 3*k - 2*k)*(-1 + 2 + 0) - 3*k + 2*k + 0*k).\nAnswer: 33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81110.\nAnswer: 2, 5, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqdq when four letters picked without replacement from {q: 2, n: 3, d: 2, v: 8, j: 2}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 2*z**3 - 2 + 2*z**4 + 101*z**2 + 2*z - 5*z**4 + 2*z**4 - 2*z in the form l*z**3 + w + o*z**2 + x*z + b*z**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*l - l + 2561, 0 = 4*l + 2*v + 2582. Let z = l + 649. Solve 5 + 5 = z*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 1:34 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7962157 is divided by 1347.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110000 (base 2) in base 4?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (-1 + sqrt(121)\/sqrt(11) - (4 + -2 + sqrt(11))**2)).\nAnswer: 15*sqrt(11) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (4 + 3 + sqrt(19) + -1 - sqrt(38)\/(sqrt(10)\/(sqrt(5)*2)))**2).\nAnswer: -72*sqrt(19) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 553509?\nAnswer: 11070.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 831*d**3 + 5790*d**2 - 189*d.\nAnswer: 3*d*(d + 7)*(277*d - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -5, -41.285, -1 in descending order.\nAnswer: -1\/9, -1, -5, -41.285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*h - 9 = 0, -201*l - 15 = -202*l - 5*h. Sort -5, -1, -4, l, 2.\nAnswer: -5, -4, -1, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1264*0.4.\nAnswer: -505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 12. Suppose -5*f - 11 = -5*q + 4, -q - f = -11. Let k be v(q). Solve -k = -s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/12 + 2\/8. Suppose 0 = -5*r + 2 + 133. Let n = r - 82\/3. Which is the biggest value? (a) v (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**1*r*r)\/r**(1\/4)*((r**(1\/6)*r)\/r)\/r**(-1))**(-37) assuming r is positive.\nAnswer: r**(-2627\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*n + 105 = -n, n = 4*a - 84. Suppose -v = -3*l + 7*l - 205, -4*v + 764 = 2*l. Calculate the highest common divisor of a and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o + 16*o = 398 - 8 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 5137145 + 16454098 = 11*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*d + 3*l, 4*d + 3*l + 2*l + 10 = 0. Suppose 5 = 3*f - 4, 5*v + 3*f - 184 = d. Suppose -3*w = 2*w - v. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 23*l - 4. Let f(a) = -280*a + 50. Give -2*f(d) - 25*y(d).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*z**2 - 387*z**2 - 443*z**2 - 614*z**2.\nAnswer: -1296*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 424 (base 8) to base 4\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**2 - 24. Let u(t) = -28*t**2. Calculate x(u(k)).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89, 2265, 5893, 10973, 17505, 25489?\n\"Answer: 726*v**2 - 2*v - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.48 + -0.14. Let w = 72.62 + m. Let p = 70 - w. Is p less than or equal to -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 7*o + 20. Does 13 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:09 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5661 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y - 16. Let i be q(2). Suppose -4*f - 5*d = f + 35, -16 = f + i*d. Calculate the remainder when 48 - (f\/34 - 108\/(-51)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -1\/12*i**4 + 0*i**2 - 3\/20*i**5 + 1\/3*i**3 + 4*i + 0 + 1\/30*i**6 + 1\/42*i**7. Factor t(u).\nAnswer: u*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -10 - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i. Let h be q(2). Suppose 0 = h*v - 0*v + 6. Let t be (-4)\/(v\/3) - 1. Solve -5*u + 0*o = -o - 15, -u + t = 5*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqggjyqggjjjgggjwqqg. Give prob of sequence qg.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-18)*54\/(-12) - 106. Is p bigger than -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + cd5?\nAnswer: cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 358554?\nAnswer: 358553.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjtyly. Give prob of sequence ddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2866 - -2343. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*u + 5286 - 10550 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:09 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o - 50. Let f be s(8). Solve -n = -5*w - 4*n - f, n = -w - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 - 14*a + 7. Let t(d) = -2*d**2 + 6*d - 4. Let w(n) = 3*r(n) + 7*t(n). Let h be w(-4). What is the third smallest value in h, -0.5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**8\/28 - 17*b**4\/24 + 18*b**2. What is the second derivative of n(z) wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28127*o**4 - 1444*o**3 - 2*o**2 - 55381191*o - 2 wrt o.\nAnswer: 337524*o**2 - 8664*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:20 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9625390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143923574.\nAnswer: 2, 193, 372859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4077938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5645036?\nAnswer: 2, 227, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.23 - 2.077. Let l = j - 0.211. Round l to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -210211389*a - 231021419.\nAnswer: -210211389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2638\/192 - 0) + -1. Let a be (-3225)\/10*3\/48. Let g = r + a. Find the common denominator of g and -97\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483724 divided by 1?\nAnswer: -483724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/6? (a) 3 (b) 64992 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9127 = -x - 3303. Let y = x + 3787. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34085\/(-1604)*32\/(-20)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910607402.\nAnswer: 2, 73, 283, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 5*b**2 - 4*b - 5. Let p be j(4). Let o = 16 - p. Let f = -6 + o. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = n + n, 0 = n + 3*s - 5. Let a = 22\/9 + -400\/171. What is the third biggest value in a, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((12\/6)\/(-36))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 282120 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: Let f(i) be the third derivative of i**5\/240 - 69*i**4\/16 + 14283*i**3\/8 - 37*i**2. What is a in f(a) = 0?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223 - 1322*y**3 - 52*y - 140*y**3 + 216 wrt y.\nAnswer: -8772*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4163031 and -19\/423.\nAnswer: 195662457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016349 rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116879 is divided by 283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (385*o**2 - 7*o**3 - 385*o**2)*(5*o**2 - 4*o**2 - 4*o**2) + (2 - 1 + 1)*(-o**4 + o**4 + 2*o**5) + (-3*o**2 - o**4 + 3*o**2)*(-3*o + o - 3*o).\nAnswer: 30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 2 - 129\/15. Let i = v - -9. Let g be 3*((-28)\/(-8))\/(-7). What is the nearest to -0.2 in g, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*11\/(264\/18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22274 and 24.\nAnswer: 267288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x - 3262729. Let z = -142729 - x. Suppose 2*a = 4*a + z. What is a rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 7*p - 28. Calculate the remainder when y(-11) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2925 (base 16) to base 9.\nAnswer: -15403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.48764 rounded to 1 dp?\nAnswer: -47.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*w + 28 - 64, -2*o - 2*w - 8 = 0. Determine s so that 24\/7*s + 57\/7*s**4 - 18\/7*s**3 + 0 - 12*s**o + 3*s**5 = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*p**3*r + 233891*p**3 - 5*p**2*r + 13*p*r with respect to r.\nAnswer: -68*p**3 - 5*p**2 + 13*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1666 (base 16) in base 6?\nAnswer: -22100342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 213*z**3 + 6*z**2 - 19*z - 22. Let i(m) = -430*m**3 - 11*m**2 + 35*m + 45. Let b(p) = -6*i(p) - 11*r(p). What is the first derivative of b(u) wrt u?\nAnswer: 711*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -3)**2*5.\nAnswer: -150*sqrt(11) + 1420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.1 (c) -0.09 (d) 1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(1 - 1 + 2*u) + 3*u + 2 - 2 + (-2 - u + 2)*(-1 - 1 + 0) - 2 - 1 - 6*u + 4*u to the form s + p*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:02 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 4600117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + 0.26. What is the nearest to -1 in 0.5, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - 155\/6. Let y = -25 - f. Let p = 0.1 + -0.1. What is the nearest to p in 0.2, 2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 5*j + 0*j**2 + 0*j**5 + 0 + 1\/2*j**3 + 1\/15*j**6 + 0*j**4. What is the second derivative of p(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 5*p. Is (-1)\/(-3 - p)*645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/84 and -107\/292338.\nAnswer: 4092732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -478 (base 9) to base 10\nAnswer: -395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.06 - -10.64. What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5423223943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100470473.8+-1.5\nAnswer: -100470475.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6490 + 363511\/56. What is the common denominator of b and 11\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.27903602 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11934*w + 5465779. Calculate m(458).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 divided by -231224?\nAnswer: 311\/231224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)*0 + 16. Let b = 4 - 4. Suppose b = -5*o - j + 111. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58567443 and 171537.\nAnswer: -58395906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385.681 - 76558.\nAnswer: -76943.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16*s - 25. Give j(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -33*b**2 - 3*b + 120. Let a(y) = -19*y**2 - y + 61. Give 7*a(f) - 4*l(f).\nAnswer: -f**2 + 5*f - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 6*o**2 - 5*o. Let c be 6\/8 + 6*(-63)\/56. Let l be (-3 - c) + 8*-1. Let i be u(l). Which is smaller: -12\/13 or i?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + 4*2*(sqrt(128)*-2 - sqrt(128)))*5)*6.\nAnswer: -5760*sqrt(2) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2081 - 2078. Put b, 1\/4, 1.1, -2 in descending order.\nAnswer: b, 1.1, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 10*u**2 + 95*u + 100.\nAnswer: -5*(u - 4)*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -0.2523?\nAnswer: -0.0523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31 and 57\/95*(-17)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 - -139. Suppose o = -286*y + 290*y - 320. 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: Simplify ((sqrt(462)\/(sqrt(33)\/sqrt(3) + sqrt(11)) + sqrt(42))*-2)\/((sqrt(66)\/sqrt(99) - sqrt(6)) + (sqrt(6) - (-2*sqrt(486) + sqrt(6)))).\nAnswer: -9*sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**2 - 64674*f + 348560523 = 0.\nAnswer: 10779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2808.23 and -8.\nAnswer: -22465.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724 + 189 + 2*p**2 + 3374.\nAnswer: 2*p**2 + 2839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x + 11. Let k be v(0). Suppose k*u - 247 = 468. Calculate the remainder when 322 is divided by u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0386986 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f - 23*f - 25*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -n + 29, 13*n + 4*m + 65 = 18*n. Solve -7 = i - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -5.3. Let i = -1.3 + -1.7. Which is the third biggest value? (a) 2 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2747, -5504, -8261, -11018, -13775?\n\"Answer: -2757*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 9*o - 14. Let v = -2 - -16. What is the remainder when w(v) is divided by (116\/(-8))\/((-2)\/4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, q: 7, u: 3}. Give prob of picking 1 j and 1 q.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -21002?\nAnswer: -21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 681590 divided by 13?\nAnswer: 52430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + r = 32006, 23*m - 24*m - 3*r + 16018 = 0. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -18443.\nAnswer: -22131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*((-6)\/(-4))\/((-6)\/8). Let g(a) = 5*a - l - 9 + 19. Let t = -3 + 2. Let s(b) = -b. Give t*g(z) - 6*s(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 - 12 = 0, 2*p - 4*j - 12 = 0. What is the units digit of (1\/(-2))\/(p\/52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115.9 - 116.513. Let v = -0.713 - u. Let n(z) = -z**2 - 2. Let q be n(-2). Sort 0.1, v, q, 5 in decreasing order.\nAnswer: 5, 0.1, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1\/510*j**5 - 7\/204*j**4 - 7*j**2 + 8\/51*j**3 + 0 + 0*j. Suppose c(z) = 0. Calculate z.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39515232 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*p + 75, -21 = 3*p - 3*s - 0*s. Let b be 5*p\/(-15)*1. Let m = 10 + -6. Solve -6*z = -b*z - m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + m**2 + 5*m**2 + 3 - 2*m. Let z(y) = 4*y - 3*y**2 + 2*y**2 - 2*y - 2. Let p(s) = -2*i(s) - 3*z(s). Find the second derivative of p(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*m - 232 + 79*m + 513 + 2*m**2 - 252.\nAnswer: 2*m**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18466707 is divided by 1799.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Is ((-581)\/(-21))\/(1\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5810 and 16?\nAnswer: 46480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*r**2 + 9139 - 9137 - 2*r**3 + 131*r**2 as m*r**3 + f*r**2 + p + h*r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-92)*-5)\/(15\/(-340)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39823499 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 90148268 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: Let s = 18 + -22. Let a(q) = 25*q**2 + 4*q + 31. Let u(p) = 74*p**2 + 11*p + 92. Let c(i) = s*u(i) + 11*a(i). Differentiate c(d) with respect to d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 - 184*n**2 - 1956*n + 215. Give h(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -2*y - 5\/6*y**3 + 0 + 0*y**2. Is f(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2500.422 millennia to years.\nAnswer: 2500422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.32 - -22.52. Let p = 0.032 - -20.968. Let j = p - f. Sort j, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 6 = l, 3*l - 2 = 2*j - 54 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*2\/10 + -3. What is the remainder when ((-248)\/28)\/(q\/14) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 150*y**2 + 352*y + 13053. Give r(147).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71259592 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 44. Suppose 3*t + 2*k - 14 = 0, 5*t + p = 5*k - 9. Suppose -3*d = -4*d + 3. Solve d = -g - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (104\/(-5))\/((12\/(-150))\/1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:22 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.1, 3\/10, -500, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 3*w + w**3 - 4*w - w**2 + 4*w as a + v*w**3 + g*w**2 + z*w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 o when four letters picked without replacement from googogggoooog?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2187*l**5 + 7290*l**4 + 16443*l**3 + 8562*l**2 + 1716*l + 120 = 0. What is l?\nAnswer: -1, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2380716543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:53 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 + -10. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 - 8*h - 36. Let i(d) = -12*d**2 + 17*d + 73. Let s(x) = 4*i(x) + 7*z(x). What is the lowest common multiple of 52 and s(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132248 + 3?\nAnswer: 3.132248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813898*w - 813849*w = 196 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:30 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16 = -2*j - 2, 29 = 3*c + 5*j. Suppose -c*z + 6 = -6*z. Suppose 0 = 2*p - p + v + 1, 0 = -2*p + 5*v - 30. Sort z, p, 3 in ascending order.\nAnswer: p, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -822*o + 275*o + 6564 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114503 - -114581 - (0 - (-2 - 0 - (-1 + 1)))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 1*(-42)\/(-7). Let n = -2 + 5. Suppose v = -k + 8 - n. Solve 13 = -4*r + k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/4 + 2 + 1. Suppose i*p - 78 = 147. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30098 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 6*s**2 - 5*s - 1. Let y be l(-5). Suppose -61*k - 718 + 108 = 0. Which is the nearest to y? (a) -5 (b) k (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/11 and 7\/806.\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.102 - -1.502. Let q = g + -1.1. What is the third smallest value in 0, q, 1\/14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*f**2\/3 + 830*f\/3 - 6889\/3.\nAnswer: -(5*f - 83)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 1745 + 7495. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10\/89, -4, 0.09.\nAnswer: -4, -2, -10\/89, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 214543399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 2*s + 1. Let d(o) = -5*o**2 + 6*o - 100. Give -d(c) - 3*t(c).\nAnswer: 2*c**2 + 97","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Let t be (1*c)\/(14\/161). Suppose -2*l = 1 - t. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/190 and 73\/37990.\nAnswer: 721810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = 0, -31*f + 29*f = i - 18. Suppose i - 50 = -6*g. Solve 0*a = 5*a + 2*c + 30, g*a - 4*c = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 19*k - 386 = -17*k, g - 76 = k. Let y = -65 + g. Solve 0 = 6*c - 2*c - 5*q + y, -24 = -3*c - 3*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7536)\/(-36) + 16\/(-12). Suppose -12*j + 13*j = u - 68, j = 3*u - s. What is the greatest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b - 2*b**2)*(2389*b + 2318*b - 2684*b).\nAnswer: -4046*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = -2*p. Suppose 0 = 2*a - p*l + 8*l + 25, -5*l - 25 = 0. Let k = 19 - a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2054843 + -188357. What is j rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254509?\nAnswer: 137, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*p - 1522 + 1842 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 188688.5207 + -0.934\nAnswer: 188687.5867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26 and -0.3.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 3:15 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*t - t + 26 = 0, -3*t = -5*b + 43. Solve 2*q = -0 + b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 5*s**2 + 5*s**2)*(0*s - 4*s + 5*s) + 3*s - 3*s - s**3 - 120396*s + 350*s**3 + 120396*s.\nAnswer: 351*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188794*m = 188780*m. Sort -1, 60, -4, 1, m.\nAnswer: -4, -1, m, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741 = i - 348. Let c be ((-1)\/6)\/(12\/i). Let s = 77\/8 - c. Calculate the common denominator of s and -19\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 6:18 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -1 + 1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2005.4764 rounded to the nearest 10?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178897.6 and 7.\nAnswer: -1252283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, 32, 112, 254, 476?\n\"Answer: 3*w**3 + 4*w**2 + 3*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 51. Suppose -5*s - 40 = -g*k, -4*k + k - 4*s = -3. Find b such that -b**3 + 12*b**2 - 88 + 80 + k*b**3 - 4*b - b**4 - 3*b**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/(-12*8\/(-192)). Let t(u) = -2*u - 12. Let l(m) = -3*m - 27. Let v(d) = i*l(d) + 7*t(d). Give v(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14*y - 65. Let a be r(-5). Suppose 7*w = -a*w + 2748. List the prime factors of w.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 17*h**2 + 3*h + 3. Let y be i(3). Suppose -5*x = -x - 16. Suppose 6 = f - 3*l, x = -f + l + 16. What is the highest common factor of f and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155206.\nAnswer: 2, 71, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(252) + -2 + sqrt(252) - ((-2 + sqrt(252))*-5 - sqrt(252))) + -4 + 5*sqrt(252) + 2 + -5*sqrt(252) + -1)**2.\nAnswer: -1728*sqrt(7) + 16452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -7. Suppose 3*u - 4 = o. Solve -3*x = 10 + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2 - 24396*u - 48800 = 0 for u.\nAnswer: -2, 12200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5564, -11184, -16852, -22562, -28308, -34084?\nAnswer: -39884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 1. Let p be z(7). Let j(h) = h**4 + h**2 - 1. Let v(t) = -t**5 + 5*t**4 + t**3 + 7*t**2 - 6. Let b(s) = p*j(s) + v(s). Factor b(l).\nAnswer: -l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/((2254\/(-21))\/23).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190353 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1 - (-1 - 8). Suppose -209*n + 227*n = 144. Solve -n*j = -z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 48 + 54. Let l be v\/(-8) - 30\/(-40). Which is the second smallest value? (a) l (b) -0.5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36000553 - 0.18832.\nAnswer: -36000553.18832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 190 + 62*b + 9*b + 2*b**2 - 187 + (3 + 2*b**2 - 3)*(3 - 3 + 1) in the form l*b**2 + t + n*b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**7\/2520 - c**5\/120 + c**4\/6 + 3*c. Let j(x) be the third derivative of y(x). What is the derivative of j(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 331 - 389. List the prime factors of -3 + (-1 - n*24\/6).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1669545, -1669623, -1669697, -1669767, -1669833?\nAnswer: -1669895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + u**2 - 3. Let i(m) = 32*m**3 + 80*m**2 - 272*m + 148. Let z(l) = 12*b(l) + i(l). Solve z(q) = 0 for q.\nAnswer: -14, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3278975, 6557949, 9836923, 13115897, 16394871, 19673845?\n\"Answer: 3278974*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - w - 3)*(5 - 2 - 1) + w + 3 - 3 - 2*w - 2 + 2 - 2*w - 2*w + 3*w + 3*w - w - w + 0*w + 2*w + 0*w + (-40 + 19 - 37)*(-16*w - 10*w + 23*w).\nAnswer: 173*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(500).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + ((-5 - 0) + -4 - -6). Let x(l) be the first derivative of 1\/12*l**h - 7 - 1\/18*l**3 + 1\/3*l. Factor x(i).\nAnswer: -(i - 2)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**4 - 2*l**3 - 13 + 5*l**3 - 5*l**3 to b*l**4 + i*l + x + p*l**2 + o*l**3 and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(275) - sqrt(10)*-2*-5)\/((2*sqrt(605) + sqrt(605))*4).\nAnswer: -49*sqrt(2)\/660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -49\/114342?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/72)\/(-1)*(-4245)\/(-283))\/((-105)\/14).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 25*y - 12. Sort y, -6, -16, -4.\nAnswer: -16, -6, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 570 + -567. Suppose -3*j - 2*j + 5*r + 2960 = 0, -5*j - v*r = -3000. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/215)\/((-4)\/25)*(1536\/30 + -51)?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*p - 51 + 100 - 54, 3*w - 7*p + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/4*(-38)\/(-3). Let r = s - -103. Is 39 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3239331 divided by -5\nAnswer: 3239331\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.683566 rounded to 2 decimal places?\nAnswer: 14.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-364)\/(-2)*(7 + -1 - 5). Calculate the greatest common factor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8 = -2. Let h(u) = 5*u**a - 7*u + u + u**3 - u**2 + 2*u**2. Let r(t) = t**3 + 5*t**2 - 5*t. What is -5*h(b) + 6*r(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-3) - (-4228)\/(-476).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 8a?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 634*t**2 + t - 648*t**2 + 10 as x + z*t + j*t**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*t - 72 = -90*t. What are the prime factors of (17068\/(-102))\/(2\/t)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*v + 116*v - 7 = -u, 3*v + u = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 215778 = 3*c, 4*c - 359622 = -c + 4*g. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2116641854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104216 rounded to 3 decimal places?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35401*d = -35735*d - 9352 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106.3892 - 28.2716124.\nAnswer: -134.6608124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) + -3 + -2*sqrt(72))) + (sqrt(6) - (1*sqrt(12))\/sqrt(2))\/(sqrt(192)*-2))*-4)**2.\nAnswer: 1152*sqrt(2) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 6086*b - 5*b**3 - 8624*b + 5*b**3 + 2396*b.\nAnswer: 2*b**3 - 12314*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 356 = -364. Suppose -99*d + l = -90*d. Calculate the highest common factor of d and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9) - (sqrt(441) - -2*sqrt(441) - sqrt(441))) - (sqrt(520) + sqrt(520)*1)\/sqrt(10)) + 3*(5 + (sqrt(325) + 1 + sqrt(325))*-5)**2.\nAnswer: -53*sqrt(13)\/13 + 97500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*t**4 - 41*t**4 - 394*t**4 + 133*t**4 - 2540*t**2 + 14*t**3 - 2*t wrt t.\nAnswer: -4320*t + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -11 + 79 + -78 + 60 + -21?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8 - ((-100)\/272 + 1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w - 7*w - 3*v, -5*w = -v + 2. Suppose w = -0*x + 3*x. Suppose -d = -6 - x. What is the least common multiple of d and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-15))\/(-1))\/(21\/30).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.6, 2, -5, -3.2, -0.5, 112?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15324 - -15342. Solve -m*k + 123 = 105 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51832 and 257796.\nAnswer: 9796248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*i**5 - 230*i**2 wrt i.\nAnswer: -4680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + u**2 - u + 4. Let n(c) = -c**2 - 10*c - 9. Let t be n(-9). What is x(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 - 5466480*c**3 + 5466486*c**2 + 5466480*c - 5466483 = 0 for c.\nAnswer: -1822161, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 11*b**2 + b - 10. Let m be n(11). Suppose -3*l + 13 = -5*c, 2*l + m - 5 = c. List the prime factors of 42\/(-12)*8*11\/c.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101042539.\nAnswer: 3, 151, 1051, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**3 + 3*l**4 - 26*l - 37*l + 2 + 121*l to the form j*l**3 + v*l**4 + c + t*l**2 + i*l and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -162*u - 63. Let t(v) = -195*v - 64. Let s(z) = -6*g(z) + 5*t(z). Determine s(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53028094 is divided by 795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522.1925 take away -0.65?\nAnswer: -1521.5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jtjjjjtttjj.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = 2*y - 36, 5*y = -4*f + 68. What is the remainder when 90*(2 - 6\/4) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18354697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-77)*(-99)\/45.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a factor of 199607943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2679*1314.\nAnswer: 1666.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 5*f - 5, 5*o + 4*f + 3 - 7 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*w - 18*w - 10 - 41*w - 26*w to the form b + m*w and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2307 is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*c - g, 5*g = -3*c + 1 - 33. Let l be ((-40)\/12)\/(c\/288). Let i(v) = -123*v - 122*v + l*v. Let d(s) = -5*s**2. Calculate i(d(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/51 + 14\/51. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24\/(912\/(-95))*12\/(-15) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -18, -40, -68, -102, -142, -188?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 3*g**2 + 2*g + 2. Let s be c(-3). Let z(b) = -b. Let o(x) = -1. Let d(i) = s*o(i) + 4*z(i). Differentiate d(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x = 2*m - 59, -53 = -2*m + x. Is m <= 134\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 16. Let m be b(-7). Let x(c) = -2*c + 7. Give x(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318473*6.\nAnswer: -1910838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18\/13, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*x, -x - 19 = -198*q + 202*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213492924*g**2 + 6862*g - 985.\nAnswer: -426985848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8 - (-7 - -2 - 3 - 21)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + -280?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cae3 (base 16) in base 6?\nAnswer: -2303511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46477842310 + 0.1.\nAnswer: -46477842309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4008*o - 130328 = 7840*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200130978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*m + 132*m = y + 5, 23*m - 10*m = -y - 35 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -14 - (-6 - -1)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78*f**3 + 580*f + 179610.\nAnswer: 234*f**2 + 580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7710, 30070, 67336, 119508, 186586?\nAnswer: 268570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 6, 60 in increasing order.\nAnswer: -5, -4, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 405846 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from feiezttztffztftt?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*f - 4*a, 7*a - 9 = 3*f + 2*a. Let n be (18\/15)\/(f\/20). Solve 2*k + k + n = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 536261106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -374340, -3, -5, 20, 5.\nAnswer: -374340, -5, -3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s + 33*s - 163*s - 104*s + 7*s.\nAnswer: -265*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -4*g**2 - 361. Let s(x) = -11*x**2. What is s(q(f))?\nAnswer: -704*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*l + 17, l = -0*l + 3*a + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 10. Let x be y(8). Suppose 0 = 5*w + i - 237, x*i - 33 = -w - 3*i. Suppose o = 2*v - 12, 4*o + 0*o - w = -4*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {t: 12, f: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7731*u - 5124*u + 15919*u.\nAnswer: 3064*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.47 and 0.1.\nAnswer: 2.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*i*o**4 - 210*i*o - o wrt o?\nAnswer: -432*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:58 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -24. Let a = -23.051 + u. Let g = -0.151 - a. What is the smallest value in 0, g, 2\/9, 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*w + 12885, -9*w - 5*x = -8*w - 3210. What are the prime factors of w?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654416 is divided by 21032.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 11:39 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 0)) + -1 + -4 + -3*(sqrt(128)*-1)**2.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9536 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*x - 69, -4*x + 1 - 17 = 0. Let h = 175 + t. Is h a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -696.99 - -0.7.\nAnswer: -696.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 172*h - 16. Is q(7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + 9\/4. Let l = q - 3\/4. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 - 2*n**2)*((-4*n + n + n)*(n + n - n) - 9*n**2 - 4 + 4).\nAnswer: 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 9:05 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w = -97*w - 7. What is the remainder when (-21)\/(-9)*(-2 + 20) is divided by -22*1\/6*(w - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6, 0.03 in ascending order.\nAnswer: 0.03, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:11 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -44.5. Let d = a + 3. What is the closest to 4\/7 in d, 4, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*r - 95, 8*r - 2*n = 13*r - 157. Suppose -4*p = -4*v + 16, -r = -4*v - 5*p + 30. What is the remainder when 10\/(-15) - (-125)\/3 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 401702625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, l: 7, e: 4, g: 1}. What is prob of sequence ag?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -93 + 86 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66b3 (base 14) to base 4.\nAnswer: -10112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1 + 1 + 1\/3). Solve 2*w = -y - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q*t*u*w - q*t*u + 2*q*t*w + q*u**2*w + 7*q*u**2 + 4*q*w + 187*t*u**2*w + 5*u + 2*w wrt u?\nAnswer: 2*q*w + 14*q + 374*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615\/5 - -3 - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/62 and 17\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13471697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102908176 to the power of 1\/2, to the nearest integer?\nAnswer: 10144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 12*o - 15. Calculate k(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1527086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1627923 months?\nAnswer: 0.0013566025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - 1722*b + 672211\/3.\nAnswer: -(b - 127)*(b + 5293)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -24.9 <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 28*y + 4 - 4*y**2 + 6*y**2 as t*y**2 + i + c*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:15 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 462, -4\/3, 0, -2, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1*3\/7. Let p = 0.11 + -1.91. Let i = p + 2. Sort i, 2, s.\nAnswer: s, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -23082*m. Let o(t) = -35*t - 1. Give y(o(s)).\nAnswer: 807870*s + 23082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -0.1, -3, -139, -5, 0.3?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201332103120133 + 3?\nAnswer: -201332103120130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 11*b + 15. Let l(v) = -v**2 - 6*v - 8. Let j be (44\/8)\/((-2)\/4). Let m(a) = j*l(a) - 6*t(a). Determine m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15891?\nAnswer: 3, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1348226 - 3*b**3 + 1348226.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2679 and -26\/849.\nAnswer: 758157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 19*g**5\/20 - 20*g**2 + 32*g. Differentiate m(d) wrt d.\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531352, -531345, -531336, -531325?\nAnswer: -531312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 606105951007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16095 (base 14) in base 7?\nAnswer: 316245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -3\/7, -2, -2\/11, -0.0166, 40?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = 75*s + 70 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 54958.89 days?\nAnswer: 79140801.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 16*k + 5. What is the lowest common multiple of 20 and p(9)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 91*n**2 + 16025*n + 470. Determine w(-89).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256470 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:06 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f - 159. Let t be k(-19). Sort t, -4, -5, -25 in descending order.\nAnswer: t, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:36 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 732?\nAnswer: 16104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uau when three letters picked without replacement from uauauuuuuuuuuuuuuuu.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 + -80. Let n = s - 205. Which is the nearest to 2\/5? (a) 0.12 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 269496 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510233 is divided by 4764?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**28\/(h\/h**(-1)*((h**(-5)\/h*h*h)\/h)\/h)*(h**(-2)\/(h*h**(-1)))\/(h*h*h**3*h*(h*h**1)\/h*h*h) assuming h is positive.\nAnswer: h**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t = -55*t - 3*m - 6, 0 = -4*t - 4*m. Solve 4*u = -2*j + 20, -18 = t*u - 4*j - 44 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*6\/(-16) - (-5363604)\/720. Let w = 7455 - c. What is the common denominator of -41\/4 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*z - 25 = 0, 3*z + 83 - 68 = 0. Which is the third biggest value? (a) -112 (b) -8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + q**2 - q + 1. Let w be x(1). What is the second derivative of -66 + 66 + 16*a**w + 21*a wrt a?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 = 2*n, 2*n + 0*n = -3*v - 1. Let y(z) = -z + 1. Let p be y(-4). Suppose -v*t + 3*i + 69 = -66, p*t - 221 = 4*i. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23370527 + 0?\nAnswer: -23370527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 1 + 2. Let n = 31 - 21. Let w be (-6)\/10 + 2\/n. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 + -2.9. Put -2\/9, -3, q, -0.03 in decreasing order.\nAnswer: -0.03, -2\/9, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 933 + -1311. What are the prime factors of s\/12*42\/(-9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 26 - 3*n - 39 + 10 + 2*n. Let z(j) = -3*j + 5*j + 0 + 8. Let t be z(-6). Determine y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*t**4 - 8*t**3 - 26*t**2 - 352958*t wrt t?\nAnswer: -288*t**2 - 48*t - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 400 and 4?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61 and 232?\nAnswer: 14152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14113*d - 10050*d = -2682*d - 2964378 for d.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*15.51\nAnswer: 0.9306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = -k. Let i = -9 + 9.2. Let d = i - 0. What is the second biggest value in d, k, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3 - 37*j**2*m - j*m + 54*m wrt j?\nAnswer: 6*j - 74*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/5)\/(14\/(-35)). Suppose 0 = -x - a*x + 210. Let z(n) = 827*n + 21. Let y be z(0). Calculate the highest common divisor of y and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + (-9 - (27 + 47))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 69060238.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1310*y**2 + 159*y - 160. Let g be r(1). Is 1310 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let g(r) = r**3 - r**2 - 4*r. Let d be g(3). Does 15 divide n*-1 - (d - 39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 4:18 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Let r(h) = -2*h**2 - 3*h + 2. Let c(p) = -p. Let j(f) = z*c(f) - r(f). Calculate the lowest common multiple of 20 and j(-3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.262 rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*f**2 - 975*f**2 + 436*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:34 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -145\/13?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - 41\/(410\/(-530))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 3*n - 5*n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321298?\nAnswer: 2, 3, 7, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153388 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:08 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -3, 8, 5, 2354 in descending order.\nAnswer: 2354, 8, 5, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-72)\/5 + 4\/10. Let s be 2\/k - (-314)\/(-7). Let r be (36\/s)\/(2\/(-19750)). What is r rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-4)\/12 + 1. Find the common denominator of -22\/5 and 0 + w - 26\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1683041*y**2. Let u(x) = 3*x**2. Determine w(u(p)).\nAnswer: -15147369*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -d + 1, 3*v - 2*d - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 * -5.78.\nAnswer: 393.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5 = 4*o - 6, -4*t = -4*o + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:20 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -786 by 3.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -6*k + 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 3653404.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by (10 - (-322)\/(-28))*106\/(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -39 - (25 - -93 - 112)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 3. Let y be t(7). Suppose -1 = y*i - 13. Let v be 16\/(-7) + -1 + i. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.48 in -4799, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(45))*-5*4 - (2 + 2 + (sqrt(5) - sqrt(5)*-2)*2 + sqrt(5))**2)*1.\nAnswer: -261 - 116*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 32, 5, 1411, 3 in decreasing order.\nAnswer: 1411, 32, 5, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9, -3.\nAnswer: -9, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 12*l + 13. Let s be h(13). Let a be 3\/(-2)*(-8)\/6. Find the second derivative of f - 1 + s*f**a + 1 + 2*f**2 wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.06, -1, -3053, -1268?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.81? (a) 1\/2 (b) 3 (c) -3\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5099*b - 4821*b = -29853 + 4555 for b.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -14*x**3 - 305*x**2 + 66*x - 3. Let u be n(-22). Which is the closest to -0.3? (a) -1\/17 (b) 2 (c) 1\/2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2294149649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 + 2*r + 1. Let h be (-4 + 1)*(-2)\/(-6). Let w be f(h). Solve w*c + 3 = m - 1, -4*c = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -387968*a**3*h**3 + 188*a**3 - 97*a**2*h + 4*h**2 wrt h?\nAnswer: -2327808*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3251 + 6501 + u - 3250.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 + 2 - (2 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 1, -2*n - 5 = -3*z - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 36728 - 36726 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) - (-2*sqrt(378) + sqrt(378)))*6)\/((sqrt(240)\/(sqrt(5)*3) + sqrt(48))\/sqrt(8)).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**2\/2 - h. Let v(t) = -75 - 70 + t + t**2 + 149. Let q(z) = 12*m(z) + 3*v(z). Determine l so that q(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37459 is divided by 76.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289 + 284. Let c be -2 - -11 - (u - (-10)\/1). Solve 2 - 6 = c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/5 + 192*g**2\/5 - 4794*g\/5 + 8836\/5 = 0 for g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 - -125. Calculate the least common multiple of 23 and p.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 6. Suppose -4*o + 21 = -3. What is h(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Suppose 7 - 3 = 4*q, -630004 = -2*o - a*q. Round o to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.823 in 6\/11, 5\/3, 0.4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = -6*g. Suppose 3*k = 5*b - 9, 7 = g*k - 2*k + b. Let f = 0.1 - 0. Put k, f, -0.4 in decreasing order.\nAnswer: k, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 16*y**3\/3 + 4*y**2 - 8*y + 98. Let u(f) = 5*f**2 + 3*f - 3. Give 6*r(a) - 16*u(a).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 18 = -5*x, 10*x - 6*x = 4*i - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(153)*3*1 + -4)**2 + -2.\nAnswer: -216*sqrt(17) + 12411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422036 is divided by 438?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:57 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5\/2 + 5*z**4\/2 - 12*z**3 = 0?\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8476 rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.126017m in nanometers?\nAnswer: 1126017000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34049184 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4 - 83485*h**3 + 850770894*h**2 + 429245383840*h - 214835374208 = 0.\nAnswer: -482, 1\/2, 21112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000427 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(u - 3*u + u) + 3 - 3 - 2*u + 2843*u + 1401*u + 2660*u - 1879*u + 452*u.\nAnswer: 5474*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -217 (c) 2\/9 (d) -0.1 (e) 5 (f) -2\/155\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:40 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -94*l - 7. List the prime factors of h(-7).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.7 or 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 36*v + 3711. List the prime factors of n(110).\nAnswer: 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/9 and -77\/8460.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -12\/11 (c) 0.05 (d) -0.3 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 25*i**2 - 625*i - 15625\/3.\nAnswer: -(i + 25)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1120049, -1120099, -1120149, -1120199, -1120249, -1120299?\nAnswer: -1120349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 5)*(4 - 3 + 2)*(-4*a + 5 - 5) as n*a + y and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-110)\/(-88)*5229\/105)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6757, 6685, 6491, 6115, 5497, 4577, 3295?\n\"Answer: -10*w**3 - w**2 + w + 6767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75 - 73 - 129*c**3 - 75 - 83*c + 223 wrt c?\nAnswer: -774*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1851716114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5)*(8 + -6 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 5\/36 (b) -4375 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -x - 10 - 0, -3*m = -4*x - 1. Let n = 30 - 27. Solve -4*o = -m*f - 19, -n*f = -5*o + 2*f + 25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = 1. Suppose c + 0*c = j. Suppose -o - b = o + 139996, -c*o - 5*b - 209980 = 0. What is o rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y - 1. Let w(j) = -2*j**2 + 17*j + 25. Let p(c) = t(c) + w(c). Calculate the remainder when 27 is divided by p(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Suppose 3 = 3*p, p + 0*p + 4 = 5*c. Let u be (c - -1)*30\/(-12). Let l(k) = -2*k. Determine u*v(x) + 6*l(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.021 + -91.979. Let u = r - -97. Sort -0.4, u, 0.1 in decreasing order.\nAnswer: u, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 174*s**2 - 247*s + 107. Is d(15) a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -32*s. Suppose -4*w + 10574 + 11174 = s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/6 at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(-26)*((h**(2\/15)\/h)\/h)**(-11) assuming h is positive.\nAnswer: h**(-862\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(224\/21))\/((-7)\/14))\/((-195)\/156)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307.\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -89. What are the prime factors of ((-910)\/(-28))\/(-2 - z\/(-2))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/40)\/g)\/g*g*g**(-35)*g*(g*g**(1\/3))\/(g\/(g*g\/g**(5\/2))) assuming g is positive.\nAnswer: g**(-4223\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 120977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 5*r**2 - 5*r - 2. Let k be f(6). Let y = -2 + 1. Which is the second smallest value? (a) -9 (b) y (c) -2\/7 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-63))\/((-4)\/42) + 0\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 223434111 (base 6) to base 3\nAnswer: 21201001020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1, 868, 2 in decreasing order.\nAnswer: 868, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2 + 8*f + 7. Let t be g(5). Let c(i) = -i. Give c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 26 (b) -3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - (-85)\/20. Suppose j*c - 2*n - 90 = 0, 3*c - 4 = 2*n + 63. Solve -3*k + c = k - p, 5*k = -4*p + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -400, -2804, -6810, -12418, -19628?\n\"Answer: -801*w**2 - w + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, 0.42, 317449, -4 in descending order.\nAnswer: 317449, 0.42, 2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and -3.5?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 153977 = 2*k - 21*s, -3*k + 3*s = -230943. List the prime factors of k.\nAnswer: 2, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/7 (b) 0 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 2*p - 9 + 10, 3*p = g - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t. Let g(l) = -l**2 - 4*l - 6. Let u be g(-3). Which is the biggest value? (a) -1\/5 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 2. Suppose -r + 5 = -n. What is the remainder when 27 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -16, -38, -76, -136, -224, -346, -508?\n\"Answer: -p**3 + p**2 - 8*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 68308*b + 546475. Give i(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/19)\/c)\/c)\/c)**(11\/8) assuming c is positive.\nAnswer: c**(-649\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 58\/14 - ((-30)\/35 - -1). Solve -m*x = 13 - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -2.1. Let g = n - 3. Let i = 108 - 103. Which is greater: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/133*-14*1\/(-17).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 1477 - x**3 + 2*x + 52*x**2 + 0*x + 1478 in the form a*x**3 + b*x + p + g*x**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**4 - 26023*p**3 - 32996*p**2 wrt p?\nAnswer: 24*p - 156138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 - 67. Let s = j + -55. Let y = s - 27. Sort 2, 1, y in increasing order.\nAnswer: 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 65 - 1 = 0. Suppose 3*j = -5*j + g. Suppose -2*h - 4*z = -12, j*z + 2 - 14 = -3*h. Solve h = 2*u - u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10054 + 2436.\nAnswer: -7618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 18 + 7, -5*y = -3*v - 30. What is the derivative of 5823*l**y - 263 - 5775*l**3 + 35 wrt l?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 33. Suppose 0 = o + 3*w - r, -5*o + 145 = -0*w - 5*w. Let p = o + 31. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 5. Let f be h(5). Suppose f*l = -l. Let t(m) = l*m**2 + 6*m**2 - 5*m**2. Let r(v) = -v**2. What is t(r(b))?\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3441283, 3441294, 3441315, 3441352, 3441411, 3441498, 3441619, 3441780?\nAnswer: 3441987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -40*p**3 + 4*p**2 + 10*p - 24. What is m(2)?\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/3)\/(c\/(c*c\/(c*c**(-4)*c))*c))\/((c\/(c**(1\/2)\/c))\/((c\/(c\/c**9))\/c)))**(4\/3) assuming c is positive.\nAnswer: c**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 99 + 11711. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z + 12 = -50*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y - 88*y = 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 102025.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 - 1270*s**4 - 19140*s**3 - 23240*s**2 + 133280*s = 0. Calculate s.\nAnswer: -238, -14, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.38, -5, 4, 34, 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let w(s) = -2*s + 1907820. Determine w(q(j)).\nAnswer: -4*j + 1907820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1354*z**3 + 3170*z**2 + 2*z. Let j(f) = 5416*f**3 - 12677*f**2 - 9*f. Let y(w) = -2*j(w) - 9*l(w). Find the third derivative of y(c) wrt c.\nAnswer: 8124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:53 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239 - 143. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = 2*y - 2, -5*y = -5*z - 10. Suppose -3*j + 4*j - 34 = z. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a**3 + 1 - 2*a**2 + 2*a + 4*a**2 - 17*a**3. Let l be g(-1). Suppose 5*x - l = 4*m, x + m = -x + 18. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12596912 is divided by 1066.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.307 + 0.307. Let m = 0.02 - 0.32. Put -0.1, m, n in increasing order.\nAnswer: n, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5689?\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Let l = 3.88 - 4. Let i = 1.12 + l. What is the closest to i in y, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 33 + (-13 - (-1 - 3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 2*f**2 - f - 3. Let u be l(3). Let r = 10 + u. What is the second smallest value in r, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -2 + 0\/(-1). Let a = z - -3. Let y = a + 1. Is y greater than 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 6*p - 5. Let h be i(-7). Suppose -h*q - s = -11, 0 = -q + s + 18 - 5. Solve j = 2*g + 1 - q, g - 21 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-7\/5)\/h)\/h**(-2\/31))\/((((h*(h**(-1\/5)\/h)\/h*h*h)\/h)\/h*h)\/h*h*h**(-3\/2)))**42 assuming h is positive.\nAnswer: h**(8883\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 10*k + 16. Give h(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(4\/8). Is y greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -256*l**2 + 1755840*l - 3010716900 = 0.\nAnswer: 27435\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*i - 14*i + 14*i**3 - 21*i**2 - 12*i - 8*i**3 - 5*i**3 + 69.\nAnswer: (i - 23)*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 1. Let i be n(-7). Let r(c) = 6*c - 10. Is r(i) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2\/5*p**5 + 0*p + 0*p**2 + 0*p**4 + 5 + 0*p**3. Factor q(o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 + -1216915639.\nAnswer: -1216915696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -371, -373, -375, -377, -379?\n\"Answer: -2*f - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -311798 (base 10) in base 9?\nAnswer: -524632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 10 - 5. Is f not equal to 54\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20853 divided by 29?\nAnswer: 20853\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 15. Let h(d) = -2*d - 30. What is 2*h(a) - 5*r(a)?\nAnswer: a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -44*w - 2141. Determine n(-46).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**25*k**32 assuming k is positive.\nAnswer: k**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(3*m - 3*m + m) - 35*m + 31*m + 1310 + 2*m in the form j*m + v and give v.\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:59 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 + (267 - 252).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-23 + (19 - -18) - -11) - (-1 + 47)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:04 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 17 (c) -26\/5 (d) 6 (e) -5 (f) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*s + s - 4*v, 4*s - 2*v + 14 = 0. Let m(q) = -46*q - 7. List the prime factors of m(s).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 4 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*r - 6 = 0, 3*r = -5*n - 0*r + 6. Solve -i + 3 + 2 = n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - -110. Suppose 5*t - 2*t - 3*g = 135, 4*t - p = 5*g. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.25 + -0.75. Let s = 39.9999999 + k. What is s rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 4*n + 4. Let c be w(-3). Let v be ((-4)\/(-10))\/(14\/c). What is the second biggest value in 2\/3, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159199246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93303535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-7)*d))\/(d\/(d*((d*d\/d**(-25))\/d*d)\/d*d*d)))\/((d**12\/d)\/(d\/(d\/(d*d\/(d*d**(17\/4)\/d*d*d))))) assuming d is positive.\nAnswer: d**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 764 - -2129. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 7*b**4\/12 - 86*b + 1. Let k(l) = 4*l - 5. Let j(r) = 6*r - 8. Let o(g) = -5*j(g) + 8*k(g). Give o(a(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**2 - 8*d - 4*d + 5*d)*(2 - 4 + 0) + (-4*d + d + 2*d)*(0*d - 3*d - d + 1).\nAnswer: -22*d**2 + 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 2*f - 20. Suppose l = 2*t + 91, -f*l = 3*t - 5*l + 134. Is t less than or equal to -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2145800 + -2145766.00234. Let z = x + -34. What is z rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 724191?\nAnswer: 724195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 36*r**2 - 752*r - 76. Let h be c(21). Let j(g) = -g**2 - 8*g - 6. Let o be j(-5). Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 4047.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -932*k**2. Let o(m) = -5*m**2. Calculate l(o(b)).\nAnswer: -23300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -130 and -17.6.\nAnswer: -147.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 divided by -291?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34423421*d - 2321280.\nAnswer: 34423421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2002, 17, 4, 3, -3\/11 in descending order.\nAnswer: 17, 4, 3, -3\/11, -2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*g = -35, -5*g + 0 + 5 = 5*b. Sort b, -3, -12, 5 in ascending order.\nAnswer: -12, b, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 379, 2, -6, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**7\/84 + 17*z**6\/24 + 161*z**5\/24 - 245*z**4\/12 - 9*z**2 + 108. Suppose w(u) = 0. What is u?\nAnswer: -28, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14)*(-637)\/455*10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16987.83 months in decades?\nAnswer: 141.56525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -25*u**4 + 3*u**3 - 3*u**2 - 7*u + 6. Let r(o) = 46*o**4 - 5*o**3 + 6*o**2 + 13*o - 11. Let t(k) = -6*r(k) - 11*z(k). What is j in t(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 6. Let k be a\/(-2)*16\/12. Let p = 15 - k. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 94030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6.3. Suppose 4*u + h = -36, -4*u + 2*h - 18 = 6. Let n be (u\/10)\/((-6)\/(-15)). Which is the closest to 1\/3? (a) n (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 848\/763131 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4\/4 + 141300*u**3 - 7991643595*u**2\/2 + 151688234700*u - 5762215216805\/4 = 0. What is u?\nAnswer: 19, 56501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (6 + 11 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23452726099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44\/21 - -8\/3. Let r = -6.3 + 6. What is the second biggest value in -4\/9, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*i = -2 - 1, -3*c = -i - 1. Factor c*a - a + a**3 + 3*a**2 + 2*a - a**2.\nAnswer: a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let s(g) = g**2. Let n(b) = 4*f(b) - 7*s(b). Let v(p) = 22*p. Calculate n(v(l)).\nAnswer: 484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*b = -3*x + 7907, 3*x + 3*b = 23730. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from zzmvvczmyvcfm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 12. Calculate the remainder when 14 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-14) + (-4524)\/(-273) + -17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3, -114, 5 in descending order.\nAnswer: 5, 3, 2, -5, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q + 1308 - 1377. Solve -l = -6 + 7, -l = 4*x - q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = -0*x - 2*g, -4*g + 34 = -5*x. Let t be 2\/x + (-87)\/15. Let c be 2*3\/t + 3701. What is c rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431629 to the power of 1\/2, to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 271*j**2 + 2360*j + 654. Determine p(-262).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2 (c) -5\/2 (d) -9567\/2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 + 333 = 3*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6413*c**4 - 39*c**3 + c**2 + 36747*c + 7 wrt c.\nAnswer: 76956*c**2 - 234*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57404 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - 1) + 2 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -557717, -1115487, -1673307, -2231201, -2789193, -3347307, -3905567, -4463997?\n\"Answer: -4*i**3 - i**2 - 557739*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147691 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183125492?\nAnswer: 2, 11, 4161943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - t**2 - 3*t - 1. Let p(v) = 11*v**3 + 2*v**2 + 8*v + 2. Let u(w) = 3*p(w) + 8*r(w). Calculate u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 86.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -13, 3, -4 in increasing order.\nAnswer: -21, -13, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2058244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 65553474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1108 + 3832 = 26*y. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-1 + -5.\nAnswer: -4*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 276131 divided by -37?\nAnswer: -7463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -0.16 (c) 0.02 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 455010 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97884194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25609.179 - 25620. Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 4*l + 8. Let w be l*(-3 - (-12)\/3). Find the second derivative of -p**2 - 8*p**2 - p**w - 6*p + 4*p**2 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-26) + 22\/11. Let z = p - 18\/13. Sort z, 0.4, 5 in decreasing order.\nAnswer: 5, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p - 8 = 0. Let y(t) = -3 + 6*t**2 + 13*t**p - 4*t + 8*t + 4. List the prime factors of y(2).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1179219 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**3*v**2 + 10414227*q*v**2 + 102025429*v**2 wrt q?\nAnswer: -3*q**2*v**2 + 10414227*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**2*q**4 - 2*i**2*q**3 - 19*i**2*q**2 + 3*i**2 - 10*q**4 wrt q?\nAnswer: -48*i**2*q - 12*i**2 - 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4607 - 4991 + 2321 - 14264)*(-2*a - a**2 + 2*a).\nAnswer: 21541*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-11))**(-1) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let t = -14 + 4. Let d = t + 15. What is the lowest common multiple of y and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*p**5 + 1180*p**4 - 43316*p**3 - 4436752*p**2 - 29725338*p - 8131788 = 0. What is p?\nAnswer: -69, -7, -2\/7, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 27*q**2 - 69*q - 378. Calculate c(-5).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 - 1.71. Which is the closest to 0.1? (a) -4 (b) g (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -471 + 460. Let d(z) = 3*z + 6. Let p(v) = -8*v - 17. Calculate j*d(f) - 4*p(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100 - -10101?\nAnswer: -100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a + 19. Let v be y(-3). Let k = -7976\/9 + 890. Calculate the common denominator of k and (17\/(-1))\/(v*(-9)\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1. Let q(z) = z**3 - 11*z**2 - 18*z - 9. Let b(n) = q(n) + 4*y(n). Let f be b(13). What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6675836?\nAnswer: 2, 37, 43, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 = 9, 2*g - 5*d - 37 = 0. Suppose 7*i = 10*i - 39. Let w = i - -28. What is the remainder when w is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -22 + 18. Let k be (-189)\/d*(-20)\/30. Suppose -5*v - k = -h, h = 4*h + 3*v - 117. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, 167, -23 in increasing order.\nAnswer: -23, 0, 2, 4, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from cdxddxdf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**3 + 6*o**2 - 7*o - 7. Let z(x) = 6*x - 78*x**3 + 83*x**3 - 5*x**2 + 0 + 6. Let v(b) = -6*f(b) - 7*z(b). Factor v(n).\nAnswer: n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74415 and 24354.\nAnswer: 1339470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) -1\/8 (b) 203 (c) -0.4004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, x: 2, s: 2, c: 6, p: 1}. What is prob of sequence cff?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 - -118 - (3 + 3 + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 6. Let u(r) = 30*r**2 - 63911118 + 63911118. Give u(w(p)).\nAnswer: 3000*p**4 + 3600*p**2 + 1080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 59*h - 56*h - 29941, c - 14968 = -h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 276.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26086 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230718 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 product of -33.298 and 0.06?\nAnswer: -1.99788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49090547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -479, -2008, -4567, -8156, -12775?\n\"Answer: -515*l**2 + 16*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2629*a - 2629*a + g + 3, -3*g + 19 = 2*a - 7 + 3 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 192 = 10*d. Calculate the smallest common multiple of d and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:07 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:29 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6198 and 4.\nAnswer: 12396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*n + 5*n + 808, 0 = 5*d - n - 1974. Suppose -3*h - 619 = 4*j - 95, -2*h = 3*j + d. What are the prime factors of (j\/(-6) + 1)\/((-16)\/(-48))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55.81832kg?\nAnswer: 55818320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let o = 961 - 888. Let d(k) = -33 - 40 + o + 11*k**2. Determine d(a(v)).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18 and 81683808.\nAnswer: 81683790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -64, 34, 184, 404, 712, 1126, 1664?\nAnswer: 2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z - 1. Suppose d + 3*q = -13, -d - 5*q - 17 = -q. Let p be g(d). Let s = -11 + p. Let t(x) = -x**2 + 5*x - 2. Calculate t(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 4. Let h be k(2). Suppose 4*x - h = 2*j, 0 = j + 3*x - 18 - 6. Let z be 45\/(-6)*(-24)\/j. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-4))\/(5\/(-10)) is divided by (-12)\/(-7) - (-4)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5025)\/((42\/140)\/((-5)\/25)) - -1 is divided by 836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(3\/5) - -3. Let a(j) = -j**3 - j**2 + 2*j + 3. Let n be a(y). Which is smaller: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/3)*x)*x\/(x**4*x) assuming x is positive.\nAnswer: x**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518395 is divided by 259184.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 9*g = 356*y + 7467, -2*g = 3*y + 57 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15*n + 4. Let z(l) = -7*l + 2. Let t(c) = 4*h(c) - 9*z(c). Let r be t(4). What is the derivative of 8*i + 2*i + 2*i - r*i + 9 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24475956.\nAnswer: 1\/12237978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.9089 - -0.3089. What is h rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 0*x = -16. Solve 5*c - 8 = -x*k, -2*k + 4*c = 4 + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -58*t + 3. Suppose 5*o + 3*h = 28, -3*h + 20 = 2*o + 2*o. Suppose z - 6 = -o. Is y(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 10*a**2 - 2*a + 47. What is the tens digit of w(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 30*v - 1. Let j(x) = -1073*x - 2531. Let o(b) = j(b) - 6*k(b). Differentiate o(m) wrt m.\nAnswer: -1253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/208 and 49\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2000200 + -1013?\nAnswer: -2001213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 + 72*f\/7 - 460\/7.\nAnswer: 4*(f - 5)*(f + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4380, -8855, -13328, -17799?\n\"Answer: x**2 - 4478*x + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/5, 32\/25, -0.12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103770 is divided by 590?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-4)\/8*-1). Let l = -0.0935 - 0.3065. What is the third biggest value in u, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -2143?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.249 + -0.251. Let n = p + 9.5. What is the third biggest value in -1, 0.4, -5, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 3*c**2 + 9*c - 9. Let u be i(5). Solve -84 = 2*o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 27. Suppose 5*u = -2*f + 524 - 4, -3*u - 4*f = -312. Suppose -39*a + 41*a = u. What is the lowest common multiple of a and b?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most -22620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 89754459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1926*i + 548*i + 741*i + 177*i - 193*i to the form u + y*i and give y.\nAnswer: 3199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-108)*(4 - (29 - (3 + 9) - 15)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 85619*p\/5 - 599088.\nAnswer: -(p - 85584)*(p - 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 56740187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.2 - -5. Let g = 131.1 - 131. Which is the closest to g? (a) y (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-16)\/40)\/(4\/(-5)). Is 45 a factor of (b + -241)*(18\/(-4))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2199.51 decades?\nAnswer: 21995.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uevvuucvcucuc. What is prob of picking 1 c and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13469, -53807, -121027, -215123, -336089, -483919, -658607?\nAnswer: -860147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -357829\/48636 + 1\/6948. What is the common denominator of l and 17\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*(-3000)\/25. Calculate the remainder when 36 is divided by 14\/21*n\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/1120 or -0.48?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-12 - 5) - 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/6)\/(10\/(-213)) and 57\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2051 - -8312. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32053 and 35?\nAnswer: 160265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068673054 to four dps.\nAnswer: 0.0687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-28))\/((-12)\/28)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9349 - 17.\nAnswer: 9332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -69 times 0.18\nAnswer: -12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p + 7432141 = -3951040. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517*b - 519*b + 11 - 46)*(-b - 2*b + 0*b + (-2 - 1 + 1)*(0 + 0 + 2*b)).\nAnswer: 14*b**2 + 245*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8 + i - 7*i - 4 + 8*i. Let t be m(7). Let d be t\/(-6) + (-1)\/(-3). Let s(w) = -w**2 - w + 8. Give s(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*i + 2839 = 601*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -8 - (-5 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167170.\nAnswer: 2, 5, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 48*j**2 + 4*j - 3. Calculate b(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -1\/20*b**5 + 0*b**3 + 0*b**2 - 1\/3*b**4 + 0 - 2*b. Find the third derivative of s(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 5*o**2 + 10*o + 3. Give v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 1075*p + 109 + 0*p**2 - 1074*p to the form n*p**2 + w*p + k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668423369.\nAnswer: 41, 16303009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p**2 - 2135 - 89*p**2 + 43*p**2 + 2118.\nAnswer: -6*p**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l = 75*l - 56 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 103315, 5, -115 in increasing order.\nAnswer: -115, 5, 103315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*r - 58*r + 75*r)*(-2*r - r + 4*r)*(0 + 0 - 4).\nAnswer: 136*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42981 is divided by 6127?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*-3*6 - sqrt(5))**2 + sqrt(5))*5.\nAnswer: 5*sqrt(5) + 9025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-20)*-388*2. Let r = -195 + d. Sort -3, 2, 0, r.\nAnswer: -3, r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4940 by 38.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/5 - 848*r**3\/5 + r**2\/5 + 848*r\/5.\nAnswer: -r*(r - 1)*(r + 1)*(r + 848)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 29. Let h be (y\/(-14))\/6*-14. Suppose 0 = 5*q - h*k, -4*k + k = 15. Which is bigger: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2 - 12*l - 6. Let t(b) = -2*b - 1. Let r(a) = -i(a) + 6*t(a). Let d(n) = 121*n. What is r(d(s))?\nAnswer: 58564*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/7446702 and -38\/7.\nAnswer: 52126914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 317\/5 + (-2)\/5. Let b = f - 18. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430656798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 18*g + 19. Let y be b(9). Find the second derivative of 58*x**3 - y*x - 11*x**3 + 26*x - 12*x wrt x.\nAnswer: 282*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**7\/42 - 5*o**3\/6 + 9*o**2. Differentiate u(p) with respect to p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/6 + (-25)\/((-1425)\/38). Which is the closest to m? (a) -2\/3 (b) -70 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1364 = -5*v - 3069, 3*v = 5*x + 7411. Let f = -842 - x. Suppose -f = -7*z + 12. Calculate the remainder when z is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(-1\/3))\/z)*z)**(17\/6)\/(z**(3\/5))**(-43))**(-1\/32) assuming z is positive.\nAnswer: z**(-2747\/2880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c + 10. Determine d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1864659 to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.95 + -16. Let x = -0.69 - 0.11. Let y = 0.9 + x. Is y at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/25, 2, -33, -0.5, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 6*x + 4. What is n(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(105\/413) - -3)\/((-833)\/(-170) + -5). Solve -37*m**4 + 0 + 106\/3*m**3 + g*m**5 - 8\/3*m + 4*m**2 = 0 for m.\nAnswer: -2\/7, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:04 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 7*s**2 - 38*s - 3. Is 5 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130983.46 to the nearest 1000.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**2 + r. Suppose 3*m - 13 = -y - 3, -2*y - 16 = -3*m. Let w = y - -1. List the prime factors of c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + c**4)*(-3 + 3 + c) + 3*c**5 - 13*c**5 + 11*c**5 + (c**4 + c**4 + 2*c**4)*(c - 3*c + c).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-110)*12215\/(-8376)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 14. Let v = 9 + d. Suppose -v*a - 9*l - 2 = -4*l, 2*a - 2 = -l. Solve -a*h + 6 + 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/48 + (-100)\/(-16). What are the prime factors of ((-1)\/4*g)\/((-12)\/7528)?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcc when three letters picked without replacement from eeeegccec?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, and 1 y when three letters picked without replacement from cccbcppyc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (858\/(-33033))\/(6\/22)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/2 (b) 2\/5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/8 + 350\/112. Suppose -i*y - 1926 = -3*a - 2*y, 2*a - 1276 = -2*y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(3)) + (sqrt(432)\/sqrt(9))**2.\nAnswer: -6*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -54061 (base 10) to base 6\nAnswer: -1054141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 1. Determine w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 7\/4, -3, 5 in descending order.\nAnswer: 5, 7\/4, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -1127*x**5\/60 + 19*x**4\/24 + 4*x**3 + 1402*x**2. Find the second derivative of s(o) wrt o.\nAnswer: -2254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 - 124.9999505. Round r to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.58 (b) -1\/3 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335, -282, -205, -110, -3?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - acc?\nAnswer: -ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2)*21\/(-6). Let y = n + 15. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j - 9. Calculate k(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*k**3*s**3 - 3905414*k**3*s**2 + k**2*s**2 - 645258*k*s**3 wrt s.\nAnswer: -822*k**3 - 3871548*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 - 1. Let s(z) = 5*z**3 - 5*z**2 + 5*z + 3. Let r(p) = -6*d(p) - s(p). Let k = -7 + 10. Give r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/6 - 6*h**2 + 25*h\/2 + 66. Suppose v(c) = 0. Calculate c.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 9*l + 33 = f, -l + 4*f = 24. Solve -48 = 6*a - l*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 767, 876, 905, 854, 723, 512?\n\"Answer: -40*r**2 + 229*r + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 73 = 3*q, -3*q - 142 + 65 = 4*j for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -2319 + 2382 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -255528*f - 710762 wrt f.\nAnswer: -255528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -350, -889, -1628, -2561?\n\"Answer: y**3 - 109*y**2 - 13*y + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.25364, -37 in increasing order.\nAnswer: -37, 0.25364, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(4\/(-20)) - 0. Let x = -0.4 + -0.1. Let m = 1.1 - 0.1. What is the second biggest value in m, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:29 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.027 and -0.1.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -6867?\nAnswer: -6862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*r**2 + 303*r**2 - 583*r**2 - 49.\nAnswer: 2*r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 - 105. Solve 0 + 2\/3*i**2 - 2\/3*i**a + 2\/3*i - 2\/3*i**4 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**37*(l**2)**(3\/35) assuming l is positive.\nAnswer: l**(2644\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 - 1091 = -19*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-17)\/153*(3 + -3). Which is the smallest value? (a) o (b) -1\/2 (c) 0.4 (d) -5 (e) 0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.09841 hours in weeks?\nAnswer: 0.47677625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a1079 - 48?\nAnswer: -3a1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32033432 (base 5) in base 16?\nAnswer: 416d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 4*m + 7. Let c(b) = -b. Let l(r) = 2*c(r) + w(r). Suppose 3*z = -2*x + 6*z + 4, 3*x + z - 17 = 0. Is l(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*r + 4*j = 257*r - 20, -3*j - 15 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 + 4)*2\/(-3). Suppose 0 = b*n + 2*s - 4, -1 = -4*n - 5*s + 6. Let z = 17 - 2. Calculate the highest common divisor of z and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 10:52 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 2)\/((-3)\/6). Let c(x) = 8*x + 649. Let n be c(37). Let r be (-308)\/n - ((-36)\/15 - g). Is 0 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1314 (base 15) to base 8\nAnswer: 7745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006915213 rounded to seven dps?\nAnswer: -0.0000692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -25. Let f = -3.04 - -0.04. Which is the biggest value? (a) f (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 31. Suppose v = 2*r - 30 + 6. Suppose r*d - 6*d = 168. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -7*y + 3*y. Calculate the remainder when y is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -906.\nAnswer: -1\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -175900 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/11)\/n**(-2) assuming n is positive.\nAnswer: n**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*l + 5*k, -2*l + 4 = -0*l - k. Let m = -309 + 345. Suppose 4*h + 8*h = m. Solve l*p = 3*p + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*n - 15 = -0*n, 0 = -2*r - 2*n - 6. Put 4, r, -8 in increasing order.\nAnswer: -8, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*w - 75, -54 = -4*w - 4*v + 6*v. Suppose 5*a - 9 = 46. What is the highest common factor of w and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**4 + w**2 + w - 1. Let h(g) = -8*g**4 + 2*g**2 + 6*g - 6. Let t(b) = h(b) - 6*n(b). Find the third derivative of t(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, i: 3, c: 1, y: 3, n: 1, r: 1}. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m - 3 = 0. Let i = m - -7. Solve -v = -0*v + i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**2 + 8*i + 4. Let h(q) = q**2 - q - 1. Let l(f) = -6*h(f) - s(f). Let o be l(-6). Let t = -20 - o. Solve -t*a + 20 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/6 and -23\/186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82832003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 507 + -70235?\nAnswer: -68627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-40)*4 + (-1925)\/(-22). Suppose -48 = -n*s + 76*s. Solve 0 = -3*w + 2 + 10, -14 = -q - s*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720655*n**3 + 720650*n**3 + 5*n**2 - 3*n**2 - 2*n**2.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 22 - 22 - 21 + 17*x as q*x + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -39, -59?\n\"Answer: -20*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2222*z**5 - 2*z**2 - 2*z**2 - 12*z - 2057*z**5 wrt z.\nAnswer: 9900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.004 in 1\/6, -126, -7\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5010, 10017, 15058, 20151, 25314, 30565, 35922, 41403?\nAnswer: 47026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Suppose f*x = 4, -2*b - x - x + 10 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 997.56636 hours?\nAnswer: 5.937895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14539 + 11465 = 59*n - 6*n for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxpb when four letters picked without replacement from {q: 1, s: 1, x: 1, p: 2, k: 1, b: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-72)*56 + -206 + 204?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1207 - -1212. Solve -4*i - 1 + 15 = k*p, 3*i - 9 = -3*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q - 6*q + 8*q + (-10*q - 5*q + 3*q)*(-1 - 6 + 1 - 4) to the form n*q + g and give n.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 - 17*v**2 + 4*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19795a7 - -94?\nAnswer: 1979690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o - 17029 = -16600 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + v + 6*v)*(-1 + 109 - 7) to the form o + h*v and give h.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87309 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-2491) - (-30013)\/(-1410611).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2457545.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-3)\/((-3)\/(-4))) + 3. Solve -5*d - 15 = -l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 590002 and 54427.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11625450*z**5 + 1123552*z**2.\nAnswer: -697527000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15424, -30712, -45854, -60850, -75700, -90404?\n\"Answer: 73*v**2 - 15507*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 10:51 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 45005*v + 12347*v + 1.\nAnswer: -32658*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/3 + 156*b**4 - 124768*b**3\/3 + 727238*b**2\/3 + 367957*b - 1706810\/3 = 0?\nAnswer: -659, -2, 1, 7, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 30*q - 36 - 175*q - 40.\nAnswer: -205*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 121, 123, 125, 127, 129, 131?\n\"Answer: 2*t + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 1. Let i(n) = 58 - 31 - 9 - 4*n. Let w be i(5). Determine r(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102.1792389 + -102.18. Round w to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t\/(t\/(t**(-2\/31)\/t)*t)))\/(t\/(t**(-1\/6)\/t)*t*t)**(-5\/19) assuming t is positive.\nAnswer: t**(569\/3534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -901754 by 6.\nAnswer: -450877\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 12\/3 - -2. Suppose -g = -2*y, -3*g + 0*y + 3*y = -n. List the prime factors of ((-3)\/g)\/(9\/(-132)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + -1 + 12)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1314 - -1312. Which is smaller: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 2*t**7\/105 + t**6\/720 + t**4\/4 + 2*t. Let g(j) be the third derivative of d(j). Is g(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4726 - -4734. Solve 3*l = -j*l - 99 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 315, 302, 289, 276?\n\"Answer: -13*l + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1777353 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 14*i**2 + 17*i + 56. What is n(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12972 + 12969 + g + 12975 - 77828 + 12976 + 12968 + 12970.\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2762 take away 22.545?\nAnswer: -21.2688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y - 7. Let x be k(-6). Let o = 27 - x. Suppose -q + 5*p + 17 = -136, -q + o*p + 151 = 0. What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93105 and 66787320.\nAnswer: 200361960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 36*v - 91 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1215*p - 4 + 80*p**3 + 1215*p + (-1 + 0 - 2)*(0*p**3 - 2*p**3 + 4*p**3) + 2*p - p**3 - 2*p.\nAnswer: 73*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -127. Are u and 92 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**3 + 3*f**2 - 7*f + 19. Let a = 148 - 144. Is u(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83\/4 + -399\/20. Let y(a) be the first derivative of -4\/3*a**3 + 0*a**4 + 3 - 1\/3*a**6 + f*a**5 + 0*a + a**2. Factor y(o).\nAnswer: -2*o*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4172\/3 - 1390. Sort -3, 0.3, -2, s in descending order.\nAnswer: s, 0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/144 and (2 - (-48)\/(-27))*(-1350)\/216?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -392 - -405. Solve t + 7 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (300\/(-875))\/(-4 - (1 - (-36)\/(-28))). Put 3, -8, w in descending order.\nAnswer: 3, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -108*c**2. Let i(k) = -15*k. Give i(p(t)).\nAnswer: 1620*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13832 bigger than 13837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 w when four letters picked without replacement from {z: 3, l: 3, t: 5, w: 3, c: 2}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:24 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 241168868 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = z. Let p(j) = 2 - 4*j - 2*j + 4*j. Let g be p(-4). What is the highest common factor of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 9*n = -15*n. Let s = -3 - -5. Suppose 3*z = 5*l - 3, 0*l + 14 = s*z + 2*l. Solve z*v = -3*i + 10, 4*v - 12 = -2*i - n*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -462916, -462934, -462970, -463030, -463120, -463246, -463414, -463630?\n\"Answer: -d**3 - 3*d**2 - 2*d - 462910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 248\/527*33\/176*-4?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-10))\/((-1)\/(-2)). Suppose -5*r + 3 = -12. Sort r, 4, i in descending order.\nAnswer: 4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*v = 378, -j + 3*v + 68 = -0*v. Let c = j - 71. Solve 0*q = c*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + 1.7. Which is the closest to s? (a) -5 (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10443 (base 5) in base 7?\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56772 - 38867. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 17*i + 1. Calculate a(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (120\/(-90))\/((-2)\/(-14)*(-14)\/12). Let n(p) = p**3 - 11*p**2 + 23*p + 14. Determine n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 13*v**2 + 2*v + 19. Give g(14).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)*(-13 + 18). What is the units digit of -1 + 12\/10 - 1868\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21312190\/19 or 1121695?\nAnswer: 1121695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxyxyxyxyx. What is prob of picking 2 x and 2 y?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 807901693 to the power of 1\/2, to the nearest integer?\nAnswer: 28424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 36*m + 107. Let u be f(-33). Let k be 63\/5 + (-30)\/50. Suppose -k*t + u*t + 52 = 0. Is t at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*((-l + 0*l + 4*l)*(-2*l + l + 2*l) - 3 + 3 - 2*l**2).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 200220121 (base 3) to base 16\nAnswer: 35da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 828 and 556317?\nAnswer: 51181164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 - 9*o - 19. Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119331615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.62 + 0.6200054. What is a rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 75084.8278 and -7.\nAnswer: 75077.8278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -103. Is 17 a factor of z\/((-3)\/34)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 1 - 1)*(14 - 14 - s) + 1 + s - 1 + (-1 + 0 + 2)*(-3*s + 2*s + 2*s) + (-2 - 4 + 5)*(2*s + 3*s - 4*s))*(-1 + 4 - 1) to k + q*s and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150515 and 1445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -1.96. Suppose l + 1 = -0. Let z = 0.35 - -0.15. What is the closest to l in -0.2, z, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6 + (-2)\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*v**2 + 4)*(-3*v**2 + 22*v**2 - 2*v**2) + 3*v**4 - 4*v + 4*v.\nAnswer: -31*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 6:19 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -2 - ((192 - 199) + (0 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 12:55 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -5 + 7 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64361857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:00 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 128 - 26)*(2*w - 63*w - 4*w) in the form y*w + l and give y.\nAnswer: -8320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.438 (b) 1\/4 (c) -2\/5 (d) 2\/9 (e) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-26 - (9 - 23))) + 24.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.73 (c) 13 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjmjjjjjmjjmj.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 - 0.2238\nAnswer: -0.3538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 1\/672*u**8 + 0*u + 0*u**3 + 0*u**4 - 3*u**2 + 1\/80*u**6 + 0 - 1\/120*u**5 - 1\/140*u**7. Let b(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 1 - 15 = 0. Let g(q) = 2*q - q + q**3 - q**2 + q**h + q**2. Let u(n) = 3*n**3 - n**2 + 23*n - 10. Let p(s) = 5*g(s) - u(s). Factor p(i).\nAnswer: 2*(i - 1)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(3 + 1) - -6. Solve -4*o + j = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -29) + (0 - -2) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 10:44 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:36 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 2*f + 39. Let p be b(0). Let g = 44 - p. Solve 0*s = 4*z - 2*s + 2, 0 = g*s - 25 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence err when three letters picked without replacement from reerrrrrrrrrrreeer.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/(-8) - 6\/(-24). Solve -5*z + z = -g, 0 = 5*w + z + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15634 not equal to -12988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/43 (c) -0.02 (d) 0.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/30 + (-256)\/(-120). Let q be (v\/(-4 + 2) - -5)*-10. Let s = q - -44. Solve 6 = -s*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - -6*(-1 + sqrt(112)) - (sqrt(112) + 0 + sqrt(112) + 4)) + -4 - (-3 + (sqrt(112) - (sqrt(112) + 1 + sqrt(112)))*-1 + -4))**2*-4.\nAnswer: -7424 + 1024*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 220*n**2 + 220*n**2 + 30*n**3 + 16*n**3 + 1 - 2*n as v*n**3 + l*n**2 + s*n + k and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3 in decreasing order.\nAnswer: 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000204877663 rounded to 7 decimal places?\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078604 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -319*n + 650. Let l(g) = 10*g + 1. Let x(u) = 5*l(u) + v(u). What is the first derivative of x(r) wrt r?\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {s: 1, z: 1, v: 2, o: 1, p: 8, u: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -47*w - 16. Is p(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157646887*v - 64219197.\nAnswer: -157646887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.84 + -0.16. Suppose -3*m = -4*f + 9*f + 17, 0 = -4*m + 4*f - 12. Which is the second smallest value? (a) 4 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t**3 + 10*t**3 - 20*t**3 + 1 + 3*t**2 as y*t**3 + h*t**2 + s + k*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.4 (b) -3\/226 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -435, -629, -1185, -2283, -4103, -6825?\n\"Answer: -30*t**3 - t**2 + 19*t - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12233 + 12238.213. Let b = z + -0.487. Round b to 1 decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*s**3 + 12*s + 1208 - 1208 + (-4*s + s + 4*s)*(-s**2 - 3 + 3) - 3*s**3 - 2 + 2 to the form c*s**3 + v*s**2 + q*s + w and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03194, -1\/2, -3, -4.\nAnswer: -4, -3, -1\/2, -0.03194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 greater than -32495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2677, 21149, 71199, 168613, 329177, 568677, 902899?\n\"Answer: 2631*a**3 + 3*a**2 + 46*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-2))\/(-4) + -7*56\/(-98).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/12133 or -16\/9?\nAnswer: 13\/12133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3, 19234, -0.4, -2, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19611031 is divided by 45607.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {s: 2, k: 8, j: 7, b: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*a - 240. Let m(p) = -p**3 - 7*p**2 - 6*p + 24. What is the smallest common multiple of m(-6) and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -45, -35, 25, 153, 367, 685, 1125?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 192 = -41*x, -1254*x + b + 27 = -1249*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 5. Let p be w*(-5)\/((-15)\/4). Solve -11 = -2*m + 5*i - 3, -2*m - p = 3*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30076783717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 150.561 + -0.33\nAnswer: 150.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(19) + 1*sqrt(684) + sqrt(19) + sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 1)) + sqrt(19) + sqrt(19) + -2 - 6*(sqrt(684) + 1)*5))**2.\nAnswer: 42504*sqrt(19) + 1974352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 + 1. Let i(p) be the third derivative of -p**5\/60 + 17*p**3\/6 - 19*p**2. Let m(f) be the first derivative of i(f). Calculate g(m(k)).\nAnswer: -16*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 300 = -131*q. Let f(g) = -2*g - 11. Calculate f(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 4. Let a be x(13). Suppose 35*u = a*u + 435. Find the third derivative of -i**6 + 87 + 5*i**2 - u wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 2*d - 17, -4*d - 4 - 2 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-26)*g*g)\/g*g*g*g)\/g**(-20) assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20147818*g**2*t**2 + g**2 - 324719539*g*t**2 wrt g?\nAnswer: -40295636*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 8*y. Suppose 0 = -y*c - c - 3, 0 = 4*f - 3*c - 9249. What is f rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10591.\nAnswer: 7, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-37 - (-101 - 26))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16301063 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3528 - -3536. Let f = -7 + 8. Calculate the greatest common factor of s and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 23*d**2 + 61*d - 22. What is p(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156015 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2261 and 6517.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 70. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x + 12*x - 3*x - 2. Let u(s) = 1. Give -u(a) - v(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 206. Find the second derivative of 2*g**3 - 27*g**3 + 9*g + d*g**3 + 2 + 37*g wrt g.\nAnswer: 672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 11*y + 3. Let m be j(11). Let h(v) = -2 + 10*v - 10*v - m - 2*v. Let x(g) = g + 2. Determine 2*h(s) + 5*x(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.1431\nAnswer: -0.5724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 15. Let d(h) = 3*h**2 - 3*h**3 - 2*h**3 + 3*h + 4*h**k - 3. What is d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 13 - (19 + 5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1380.6412 to zero dps.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-6)\/(-24) + 7\/5. Let a(l) be the first derivative of -1\/5*l**2 - 2\/15*l**3 + m*l - 1 + 1\/10*l**4. Factor a(j).\nAnswer: 2*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.4 - 9.4. What is the second smallest value in 0.14, -1\/8, -0.02, y?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 8 + 6. Which is the biggest value? (a) 1 (b) -2\/41 (c) 0 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -830*k**2. Let n(o) = 69*o**2 + 64*o**2 - 186*o**2 + 55*o**2. What is t(n(g))?\nAnswer: -3320*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13353 and 12.\nAnswer: 53412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 14 = h + 3*h, 2*h - 10 = -3*z. Suppose 3*v = 2*x - 0*v - 19, 0 = 2*x - 4*v - 14. Suppose -x + z = -3*d. Put d, -4, -1 in descending order.\nAnswer: d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 2. Let c be o(-5). Put c, 1\/2, -1\/6 in decreasing order.\nAnswer: c, 1\/2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223858108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0, 0.3, -0.2, 3.\nAnswer: -0.2, -0.07, 0, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 2*f. Let t be 6\/4*(-8)\/(-3). Let w be (4\/6)\/(6\/45). Let s(n) = 7*n + 2*n**2 - w*n**2 - 4*n. Give t*s(i) - 7*k(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -603 + -6675\nAnswer: -7278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/5 - 161216*f**2\/5 - 1606533456*f\/5 + 72256561344.\nAnswer: -4*(f - 220)*(f + 20262)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -181394141.\nAnswer: 3\/181394141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3484, 2842, 2358, 2110, 2176, 2634?\nAnswer: 3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 3. Let q(f) = 24*f - 4. Determine -3*q(i) + 3*r(i).\nAnswer: -75*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:26 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -423, -2, -5, -3, 33, -13.\nAnswer: -423, -13, -5, -3, -2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + 8*a**2\/5 - 4*a.\nAnswer: a*(a - 2)*(a + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 6*q + 7. Let n be k(-3). Let t(y) = 5*y - 5. Let f(a) = 3*a - 2. Let b(c) = n*t(c) + 5*f(c). Let o(x) = 7*x. Calculate o(b(d)).\nAnswer: 35*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1130, -1117, -1092, -1049, -982, -885, -752?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 132677?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opgpgpopppopggo. What is prob of picking 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 5*a - 155 + 135, -a - 8 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiiimbdqbiiqin. What is prob of picking 1 d and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64440 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 417917, 835834, 1253751, 1671668?\n\"Answer: 417917*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6)\/(6\/8). Let q(x) = 3*x + 6. Let g(s) = -16*s - 31. Let c(o) = m*g(o) - 11*q(o). Calculate the lowest common multiple of c(-6) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -49\/9, -1.294 in increasing order.\nAnswer: -49\/9, -1.294, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y + 14*y - 26*y - 1 - 3*y**2 to c*y + p + z*y**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1020122322 (base 4) to base 13\nAnswer: -a5030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74 and -722153.\nAnswer: -53439322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q**2 - 3*q. Let z(c) = 9*c**2 - c. Let s be z(-1). Suppose -v = v + s. Let j(y) = y**3 - 8*y**2 - 4*y. Give v*j(f) + 6*l(f).\nAnswer: f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63, 238, 521, 906, 1387?\n\"Answer: -o**3 + 60*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/11)\/(((-12)\/(-24))\/((-88)\/(-32))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4234*l + 3646*l + 263*l to the form m*l + x and give m.\nAnswer: 8143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -2, -547, -5 in decreasing order.\nAnswer: -3\/4, -2, -5, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 11*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.10276 + 6.1. Round z to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 9*t - 9. Give h(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6263304 is divided by 447376?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -22*n + 3 + 89\/6*n**3 - 22*n**2. Differentiate c(f) wrt f.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72856 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 592 = -709. What is the remainder when 44 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-16)*-254 + (-4)\/(-8). Let k be 1*((-84)\/c - (-8)\/(-6)). Let n(q) = -q - 1. Let u be n(k). Let p(g) = -6*g**2 - 2*g - 1. Determine p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 0*s**2 + 2*s**2 + (1 - 1 - 1)*(-6*s**2 + 2*s**2 + 2*s**2) + 2*s**2 + 0*s**2 - 4*s**2 + (-3 + 4 + 2)*(-2*s**2 + 0*s + 0*s)*(0 - 5 + 4).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3959*d + 4557*d + 13754 = 0 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, a: 3, i: 2, l: 7, w: 6}. What is prob of picking 1 d, 1 i, and 1 l?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4.3, -1.1, 0.03, -16 in descending order.\nAnswer: 4.3, 0.03, -1.1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 - -216. Let r = z - 419\/6. Let x = -0.1 + 1.1. Which is the biggest value? (a) x (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/4, -3\/8, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2\/15, 0, -0.6, 1\/5, 0.046, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5450 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4 - 804*b**3 - 78352*b**2 + 492864*b - 665856 = 0.\nAnswer: -204, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120147 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/((-12)\/9))\/(15\/(-20)). Solve -2*z + 3 = -r, -o*z + r + 7 = 4*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or 5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*r + 15 = 165*r. Suppose -2*j + b + 6 = 0, -4 = -r*j + b - 2*b. Solve -7 - j = -2*i - 3*x, 5 = -5*i - 2*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t = -69*t - 512 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 2, x: 13}. Give prob of sequence axnn.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - (-124 + 133)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4 - 2\/(-2). Let z(l) = -l**2 - l - 12. Give z(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117\/5 - -86\/5. Calculate the common denominator of n and -2 - ((-82)\/6 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 4732020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 23. Suppose 11 = -2*s - 5. Let v be -1 + -1 + s\/(-4). Is i(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2968 (b) 0.4 (c) 0.2 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 8*l**2 + 12*l + 5. Let x be j(6). Solve x*y = b + 8, 2*b + 4*y - 9 = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-2 + 0)) + (41 - -3) + -4 + 6.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l. Let f(v) = -6*v**2 + 4*v + 2. Let y(w) = f(w) + 5*x(w). Suppose -14 = -27*g + 34*g. What is y(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 2165, 18?\nAnswer: 2165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2. Let j(r) = 3*r - 14. Let k be j(9). Let p = k - 11. Let x(f) = -165 - 2*f**p + 165. Give m(x(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.6 take away 0.24049981506?\nAnswer: 23.35950018494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 498.\nAnswer: 43824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -57. Suppose -b + 7*b + u = 0. What is the second smallest value in 0, b, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -9. Solve 2*m + m - y = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230509.\nAnswer: 353, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmcmmtctmtmmzmm. What is prob of picking 2 c and 1 t?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -488*i*u**3 + 3*i*u**2 + 233617*i*u - 48*u**4 wrt u?\nAnswer: -2928*i - 1152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*x + 12, -9*x + 8*x + 8 = -3*a. Let l(q) = -3*q**3 - q**2 + q + 1. Calculate l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*o**2 + 39*o**2 - 2*o + 3*o**2 + 56*o wrt o?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130221300 to the nearest 100000.\nAnswer: -130200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -o + 2*o. Solve 3*v + o = -5*h - 0*v, h = 5*v - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:09 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 10:56 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 36430 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*l - 126 = 0, 2*f - 3*l = 49 + 13. What is the remainder when 65 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28931 - -97858. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7745 and -4464779.\nAnswer: -4457034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = r, -5*r - 4*h + 21 = -45. Suppose 0 = 3*c + 2*c - r. What is the second derivative of f + 2*f + f**3 - c*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (16 + -39 - -39)) + 14 + -120\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 take away -96?\nAnswer: 96.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 32*y**2 - 24*y - 50. What is the tens digit of f(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 711*l + 5764. What is the remainder when 299 is divided by c(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -68. What is the lowest common multiple of 21 and s?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201 + 210?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 12) to base 7.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times 0.01\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxx when four letters picked without replacement from xkxxxxxkxxxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(57)\/sqrt(3) + -2)**2 + (sqrt(76)*1)\/sqrt(4)).\nAnswer: -72 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 21. Let p(m) be the first derivative of -10 - 15*m - 4*m**4 + 3*m**g + 1. Differentiate p(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 40 = 5*i. Let k = i - -14. List the prime factors of 4\/(2 - 4) + k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -19*l**3 + 22*l**2. Let a be ((-2)\/4)\/((-5)\/10 + 0). Let y(z) = -z**3 + z**2. Let u(k) = a*f(k) + y(k). Find the third derivative of u(t) wrt t.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276769.4022398 + 276295.4022. Let q = r + 474. What is q rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2356 - 426604?\nAnswer: -431162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62213533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -32. Let v = u - -20. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 - 6391*m**2\/4 - 12785*m\/4 - 6393\/4.\nAnswer: (m - 6393)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/17 + 1846*p**3 + 125502*p**2\/17 + 94122*p\/17 = 0. Calculate p.\nAnswer: -15687, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-13)*-28 + (-386)\/2509. Suppose 0*q + 2*k + 318 = j*q, -5*q = 5*k - 825. What is the remainder when q is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1412142 in descending order.\nAnswer: 1412142, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 28. Let f be 63\/j - (2 - 6\/4). Does 9 divide 4\/16 + -1 + 363\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13342720 to the nearest 100000.\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 264.47*5\nAnswer: 1322.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 21891142?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5397*h + 12458 - 12458 to the form l + s*h and give s.\nAnswer: 5397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + 2*g**2 + 15*g - 4. Let j(y) = -5*y**3 - 3*y**2 - 22*y + 6. Let x be ((-5)\/(-3))\/((-2)\/6). Let d(a) = x*j(a) - 7*t(a). Does 21 divide d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -19*c + 2205. Suppose 2*v + i - 6*i - c = 0, 4*v - 615 = 5*i. Is v a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*k - 0*s - 15, 4*s + 13 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 742 and 14.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/((-29)\/1943). Is 62 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(-7)\/j)\/j)**16 assuming j is positive.\nAnswer: j**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101110106 and 305584.\nAnswer: 808880848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**30)\/r**(-13)*r\/(r\/r**(-16))*(r*r**29)\/r assuming r is positive.\nAnswer: r**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63983443 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 675 = 3*r, 0 = 3*v - v - r + 447. Let a be (-1)\/((-2)\/(-314)*1). Let k = a - v. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 2 - 2. Let q(b) be the second derivative of b**2 - 1\/2*b**3 + 1\/20*b**5 + z*b**4 + b + 0. Solve q(u) = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a4 (base 13) in base 14?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8280 and 5040?\nAnswer: 115920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v + 5. Let x be j(0). Suppose 2*w - z = -5*z + 102, -3*w + 197 = -x*z. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*n - 157 - 83 = -151*n. Solve 4*w = -n*z - 27 + 20, 0 = -3*z + 3*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -176 - -162 - (-1 + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9587\/56 - 1236\/7. Let b = -1420\/7 + 24504\/119. Find the common denominator of z and b.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, t: 4, z: 3, k: 3, r: 4, y: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 21. What is the remainder when 10 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 10 - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 4\/7 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -78, -187, -340?\n\"Answer: -22*v**2 + v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**3 + 182*v**2 - 8*v - 8. Let y(p) = -4*p**3 - 61*p**2 + 3*p + 3. Determine 3*f(m) + 8*y(m).\nAnswer: m**3 + 58*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**3 + 610*p**2 - 6400*p + 4000.\nAnswer: -5*(p - 20)**2*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118245 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 1. Let s(f) = -2*f**2 - 3*f + 2. Let r(q) = -13*q + 389. Let y be r(30). Let w be s(y). Solve w*p - j = 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*h**4 + 13*h**3 + 34004*h**2?\nAnswer: -7296*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 25 = i. Suppose 0 = -i*p + 6*p - 10. Let t = p + -4. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51664, 103402, 155216, 207106, 259072, 311114, 363232?\n\"Answer: 38*z**2 + 51624*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/((-1)\/6). Suppose 5 = b*d - 3*d. Suppose u = d*u - 348. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-84) + 27*100\/9401. Let i = 30919\/20145 - j. Find the common denominator of i and -25\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from dwnwndndd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -953, 1, 5538 in increasing order.\nAnswer: -953, 1, 5538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 + -1 + 10 - (-51 - -69))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 2*y**3 + 5*y)*(-y**2 + 0*y + 0*y) - 62 + 62 + 7*y**5 + 4*y**5 - 4*y + 4*y + 3*y**5 - y**4 + y**4 + (-5 + 2 + 2)*(5*y**5 + 5*y**5 - 2*y**5).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60751.63l to millilitres.\nAnswer: 60751630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/20 - (-7 - (-162)\/30). Suppose -p*k + 6612 = r, 8 = -4*r - 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03569 rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12)\/(9\/((-648)\/(-6)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 79 (b) -126 (c) 2 (d) 0.2 (e) -615\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/8 of a litre?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5753517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3309 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let p(n) = 2*n**2 - 72*n + 139*n - 67*n. Calculate k(p(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 4 (c) -10 (d) 1 (e) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.224 - -0.321. Round m to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8495906 is divided by 155?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 1. Let n(d) = 2*d**3 - d**2 + 2*d - 1. Let x be n(b). Suppose 12 = 5*m - x*m - w, 16 = 4*m + w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8880555877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -31 + (0 - 1) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 3*q**4 + 2*q**2 - 2*q**4 - 15*q**4 + 257*q - 259*q - 4*q**4 in the form s*q**4 + x + u*q + g*q**3 + b*q**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -633 - 51. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8253 divided by 3\nAnswer: 2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926*n - 459*n + 138 = 444*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3144 + 1?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + -2*sqrt(171))*3 + (sqrt(171) - 1*sqrt(171))*-5 + 2)*-1)**2.\nAnswer: -504*sqrt(19) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25236189 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from uucauuc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 592, 1183, 1774, 2365?\n\"Answer: 591*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.2033 bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*v = 105*v - 9480. Do 634 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.361389, -4, -1\/5 in ascending order.\nAnswer: -4, -0.361389, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 81?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*k + 3*h, -1 = -k + 2*h + 4. What is the common denominator of ((-135)\/(-140))\/k*29\/(-12) and -57\/22?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, f: 2}. What is prob of picking 1 f and 2 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/10 - (95\/50 + -2). Solve -c - c = 5*m - 4, -3*c + 2*m - 13 = f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40696\/12*6\/4. Let u = 236 + j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 1\/217, -3\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 479 - 423 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2376 divided by -108?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43947, -87922, -131923, -175956, -220027, -264142, -308307, -352528?\n\"Answer: -f**3 - 7*f**2 - 43947*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 6*k + 4. Let l(i) = -7*i**2 + 11*i + 7. Let d(x) = 3*l(x) - 5*q(x). Determine d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 557 - 328. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/417120 and -83\/554580?\nAnswer: 48803040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 13 = 3*h. Let c be -5*(-1 - h\/(-5)). What is the units digit of (-198)\/(-42) - c\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11698888, 3.\nAnswer: 2, 3, 11698888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 128*j - 257. Give v(66).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2124 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -252 + 123. Is u at most -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 3. Let u be c(3). Suppose n = -3*t + 13, -2 = -4*t + 5*n + u. Let i(l) = -l**2 + 7*l + 2. Let d be i(7). Solve d + 10 = -t*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 4*c + 7. Let h be p(4). Solve -4*i + h = -9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 6*y**2 - 2*y - 10. Let t be m(-6). What is the third derivative of -6*d**3 - 3*d**2 + 0*d**3 + d**t - 7*d**2 wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -122. Let k = 124 - p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -45.1.\nAnswer: 54.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5893)\/(-137) + (666 - 709)?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z**3\/z)\/z*z)\/z**(-5))**(2\/83)\/((z*z**(2\/3))**32*(z**1)**(-17)) assuming z is positive.\nAnswer: z**(-8993\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 1 l when three letters picked without replacement from jbrrrrrjrrrlrjrl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 1:20 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -2\/423283 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1494052 or 1494054?\nAnswer: 1494054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fkkkkkkkfffkfk?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 4*b**2 + 6*b + 7. Let d(j) = -j + 3. Let x be d(9). Does 9 divide s(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49216546 plus 0.3?\nAnswer: 49216546.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x, 7269805 + 6301236 = q - 5*x. Let s = q + 3808959. Round s to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46809046\/29 or -1614106?\nAnswer: -1614106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8076*r**2 + 3*r. Let s(c) = -9995*c. What is s(i(h))?\nAnswer: 80719620*h**2 - 29985*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/3509 + -7041\/80707. Put z, 1.46, -2 in increasing order.\nAnswer: -2, z, 1.46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52944313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*b + 76, 2*b - 374 = -2*y - 2*y. Suppose 0 = 35*c - 48*c - 728. Let w = c + y. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14361494 - -14361323.157975. Let v = u - -168.842. Let q = v - -2. What is q rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 0*o**4 + o**4 + 0*o**4 + 3*o**4 + o**4 + (2*o**3 - o**3 + o**3)*(4*o + 2*o - 5*o) - 4*o**4 + o**4 + o**4 + 11*o**2 - 4*o**4 - 11*o**2.\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 5*u + 5*u + (u - u + u)*(3 - 2*u**2 - 3) + (-u**2 + u - u)*(3*u + 2*u - 4*u) + (6*u + 0*u - 4*u)*(0*u**2 - 3*u**2 + 4*u**2).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -467, -465?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 7 - 7 + 5*z + 12. Let m(u) = -u + 7. Let g be m(6). Let l(a) = a. Let k(h) = g*i(h) - 5*l(h). Find the first derivative of k(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from asaffffvfaonn.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11550099 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1250 - -1193.9. Round m to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007602894 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.9230893003 and 0.046.\nAnswer: -2.8770893003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8.14. Let n = i - 0.04. Which is the closest to n? (a) 4 (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3551649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 9 + -1 - -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 6 - 33 = 0. Calculate the smallest common multiple of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m - 7. Suppose 5*p - 15 = 4*z, -3*z = -m*z. Solve -3*c = 4*n + 11, -p*n - 7*c + 3*c = 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(14\/((-756)\/891))\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 34809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 280486309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-9 - (-4 + -4)) + 11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h + 0*h + 4*h)*(2 - 7 + 3)*(-h + 0*h + 3*h)*(-11*h + 41*h - 11*h) + 3 - 3 + h**3 + (h**3 + 0*h**3 + h**3)*(0 + 2 - 1).\nAnswer: -909*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 - 2681 = -65*t + 3112. Suppose 3*r - 2*p - 3163 = 1209, 0 = -5*p + 5. Calculate the greatest common divisor of t and r.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 43081634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n - 664 = 63*n + 4*z, 0 = -n + z + 326. What is the greatest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 5, -676, 87, -1 in ascending order.\nAnswer: -676, -1, 1, 4, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -z. Suppose -z*b + 3*c - 35 = 0, 0 = -4*b + c + 4*c - 41. Let a = b + 8. Solve 4*y + a*g + 20 = 0, -3*y - g + 6*g = -17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25553 or 25554?\nAnswer: 25554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25731 + 25735. Solve 5 - 17 = 3*u - 3*l, -a*u + 5*l = 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8699 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 6483407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 - 15 = -20*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204848, -409703, -614564, -819431?\nAnswer: -1024304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(3430\/(-105))*28\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4559\/19, 121.\nAnswer: -4, 121, 4559\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = -0. Suppose 3*a + 4*y - 310 = 0, -5*a - 5*y = -240 - 285. Suppose a = f + 4*f. What is the lowest common multiple of f and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 42. Let a = 28 + -21. Let l be u(a). Let g be 2\/((-52)\/(-14)) - 1. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 - -163. What is the least common multiple of 28 and f?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 4*q + 72 = 4*x, -2*q = -2*x + 24. Solve p = i + 5*p + x, 3 = -5*i + 4*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7061, 14123, 21191, 28265, 35345, 42431?\n\"Answer: 3*a**2 + 7053*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/579560 and 109\/7012676.\nAnswer: 70126760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 400 = -0*w + 37*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 1, q: 2, t: 3}. Give prob of sequence tnqt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2936*t + 1 + 532*t**2 - 2935*t + 5869*t to the form x*t**2 + w*t + n and give x.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, r: 2, x: 7, s: 4, u: 1}. What is prob of picking 2 y and 1 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2346 + 2442 = 38*u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.15 and 155583?\nAnswer: 956835.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*t + 4, -4*v + 2*t + 14 = -0. Let o be v\/(-264)*(-3)\/405. Let b = o - -36233\/7128. Find the common denominator of b and 19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2605 divided by -4\nAnswer: 2605\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1738 - -7752. Is o less than 6015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-15) + 13\/3. What is the third derivative of -6*d**2 - d**2 - d**2 - q*d**5 wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 5*o - 347. Suppose -o = 5*v - 8*v. What is the remainder when 60 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-42))\/((-54)\/(-42))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7342*x**2 + 273*x - 92*x - 90*x - 91*x.\nAnswer: 7342*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 92001585 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28212532 or 28212529?\nAnswer: 28212529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -121\/2. Let j be 2*((-18)\/8 + 2). What is the second smallest value in h, -2\/17, j?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + t**2 + t + 28. Let b be a(0). Suppose -s = 3*s - b. Let l be (11 - 1) + 9 + -8. Solve -g - 2*k = -4*g + s, 2*g + 5*k - l = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 1\/2 (b) 0.4 (c) 2\/11 (d) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 - s + 2. Let b be g(0). Let d be (b - (1 + -3)) + 84. Suppose -7*w + d = -164. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 14*n**2 + 32*n - 223. Give g(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*g + 9 = 0, 40*v + 4*g - 3 = 43*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 5*j**2 - j**3 + 0*j**2 + 2*j**2 + 4*j - 8. Let g be o(-6). What is the third smallest value in -0.2, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 79 = -6. Solve -43*m - h = -42*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + n**2 - 1. Let l(d) = -3*d**3 + 6*d**2 + d - 5. Let a(m) = l(m) - 6*x(m). What is the units digit of a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4417*c - 6769*c - 2 + 2 - 10249*c in the form w + z*c and give z.\nAnswer: -12601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2024 - 2020. Let x(w) be the second derivative of 0 - 1\/70*w**7 - 1\/2*w**3 + 1\/2*w**v - 17*w - 3\/10*w**5 + 3\/10*w**2 + 1\/10*w**6. Factor x(u).\nAnswer: -3*(u - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 19 = 14*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(320) + (sqrt(320) + 1)*6)**2.\nAnswer: 320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 466, 1042, 1734, 2542, 3466, 4506, 5662?\n\"Answer: 58*a**2 + 402*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25632633431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -40083.576\nAnswer: -400.83576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -553*o**2 - 14. Let a(w) = w**2 + 1. Determine 14*a(n) + y(n).\nAnswer: -539*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46453032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 52*q - 10)*(0 - 1 - 1 + (-2 + 1 + 2)*(0 - 2 + 0) - 2 - 11 - 1)*(-7 + 2 + 3)*(-2*q + 3 - 3).\nAnswer: 3744*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1704 + 11903\/7. Calculate the common denominator of s and -52\/23.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*3 + -5*sqrt(140))\/(sqrt(700) - -3*sqrt(700)*-6).\nAnswer: sqrt(5)\/170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2505622*x**3 + 62*x**2 - 42279*x?\nAnswer: -15033732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247264282*b*n - 102454867*b wrt n.\nAnswer: 247264282*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 226.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47094 + -33014. Let u = d - 84980. What is u rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-770)\/(-140))\/((-1)\/(-4)). Let k = 281 - r. Calculate the greatest common divisor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025888447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 1717*m**7\/42 - 527*m**4\/6 - m**3\/6 - 334*m - 1. What is the third derivative of j(v) wrt v?\nAnswer: 103020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 1\/8, -1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 1023900*s - 87364267500.\nAnswer: -3*(s + 170650)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-15))\/((-3)\/30 - 0). Let a = 30655\/3956 + 1\/989. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-16)\/k**(-2\/9) assuming k is positive.\nAnswer: k**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4 + sqrt(343))*-4*6*-3)**2.\nAnswer: 287280*sqrt(7) + 1859337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4630, 9263, 13896, 18529?\nAnswer: 23162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*p - 3664 + 549 = 277 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 43624665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 250*q**3 + 935*q**2 + 690*q.\nAnswer: 5*q*(q + 1)*(q + 3)*(q + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 437?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 9*y**2 + 20*y + 10. Let t be k(-6). Let o = t + 235. Calculate the highest common factor of o and 1292.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117306, 235523, 353740, 471957, 590174, 708391?\nAnswer: 826608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 2*m + 37. Let v be k(7). Suppose -w + 2 + 17 = 0. Let i(t) = -t**3 - t**2. Let a be i(0). Solve -4*x + 13 = -o, 3*o = v*x - a*x - w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -3. Let m be 16 - v\/(-2)*0. Suppose 0 = -6*u + 17 + 7. Solve c = 3*g - 4, -u*g + 3*c - 4 = -m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100532 and 29347988.\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6691 = -139*a - 1548 - 211 - 446 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333750578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 4. Suppose 0 = 5*u - g - 30. 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 y = -575 + 591. Suppose 4*o - 11 = 1. Suppose -y = -m - o*m. What is the remainder when 15 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x + 369. Calculate w(-56).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 27 + 2 + -1. Suppose 4*c + 6 - g = 0. Suppose 110 = 4*r + r. Calculate the smallest common multiple of r and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.069339ml?\nAnswer: 0.002069339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26558258.\nAnswer: 2, 29, 31, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -115586682 divided by -49523\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*g + 11, -2*r + 25 = -2*g - 15. Suppose 5*j = 2*t + 8 + 13, -4*j = -20. Suppose r = t*q + 3*v, 3*q - 6*v - 38 = -7*v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.124 (b) -0.04 (c) 5 (d) 436\/3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - 4*v)*(-2*v**3 + 4*v**3 + 0*v**3)*(2 + 0 - 1)*(6 - 3 + 0).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(4 - 35 + 7)*((120 - 225 + 345)*(-3*f - f + 3*f) + (f - 3 + 3)*(0 - 3 + 4)) in the form g*f + u and give g.\nAnswer: -5736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2125, 2, -1 in descending order.\nAnswer: 2125, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + z + 13 = 0, -i = z + 1. Let j = -4 + 5. Solve j = 2*u - 4*o + 5, -4 = i*u - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3110506*q**3 + 145635*q**3 + 12.\nAnswer: 3256141*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*q - 5*q + 10519 - 10519 + (-3 - 2 + 3)*(-3*q + q + 3*q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120447 + 120451. Let w = 0.01 - 2.01. Put -0.061, x, w in descending order.\nAnswer: x, -0.061, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 9) to base 16\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 60.12478cm?\nAnswer: 0.6012478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 470326, 470327, 470328?\n\"Answer: w + 470325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*l + 54*l + 31. Suppose l + 29 = 4*o. Calculate the remainder when 57 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 107*n - 1522. Determine c(10).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n + 5*b - 1198, -5*n + 1980 = 5*b. Let k = -389 + n. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008259 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*k**3 + 33*k**3 - 120*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 862304839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Suppose v - 24 = -3*z, l*v = -3*z - 40 + 142. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*m + 7*m. Suppose m = 4*u - 6. Solve 3*z + u = -10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - n**3 + 2*n**3)*(-7*n + 14 - 14 + 2 - n - 2 + (4*n - 5*n + 2*n)*(2 - 1 + 1)).\nAnswer: -6*n**4 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2257525437 + -2257525197.9002874. Let t = 239.1 - w. What is t rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9\/((-351)\/52)*-507 and 8?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -2*z. Let k be 14\/(-28) - (-26)\/z. Let n be (1\/4)\/(k\/312). Solve -7 = 4*h + n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 39*g**2 - 75*g + 43. What is the lowest common multiple of 60 and n(37)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:46 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 194. What is the lowest common multiple of r and 171?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976756653?\nAnswer: 3, 41, 43, 61559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:36 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 364?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*l - 45*l**4 + 124*l)*(5*l - 4*l + 1 - 3).\nAnswer: -45*l**5 + 90*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*b = 30*b + 37680 - 13743 for b.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20563 is divided by 162.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/9, 0.4, 0.09076, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**3 - 78*q**2 - 17*q - 76. Is c(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, y: 13, t: 2}. What is prob of picking 4 y?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Solve -8*r**4 - r**4 + 10*r**t + r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 4*j - 5*j + 4 + 80*j - 4 - 5 + 5 + j + (j + j - 3*j)*(-2 + 1 + 3) - 4*j + j + 2*j in the form z + o*j and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513595 by 168.\nAnswer: -513595\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -810557*c + 1. Let z(v) = -v**2. Determine d(z(m)).\nAnswer: 810557*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -393*(-11 - 540) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/10 - (-15)\/25. What is the third derivative of 0*i**5 + 2*i**r + 0*i**5 - i**2 + 4*i**5 wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/1782*18\/(-14) - 2272\/(-42)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/861952 and -43\/78.\nAnswer: 2585856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184394, -184026, -183658?\nAnswer: -183290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 8*n**2 - 3*n + 6. Let g be b(8). Let x = g - -32. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/4)\/(201\/67)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 13, m: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 5*o**2 - 2. Suppose -4*m = -8*m + 160. Calculate the remainder when m is divided by j(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/215, 4, 1\/2, -5 in decreasing order.\nAnswer: 4, 1\/2, 1\/215, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (6 + 2 - (7 + (20 - 7)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose 5 = h*f, 5*o - 2*f - 29 = -f. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agb when three letters picked without replacement from aiaiaaiaaaaaibbaaag?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l**2 + 8*l - 9. Let v be s(6). Suppose -v*o + f = -0*f - 5, o = -f - 1. Which is the second smallest value? (a) -2 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2293 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 336*l**2 - 1002*l + 38. Calculate o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 17*n + 10. Let p(y) = y**2 - 9*y + 6. Let u(o) = -4*b(o) + 9*p(o). Let j be u(12). Let q = -10 - -13. Solve -j*f = q*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/30)\/(4\/(-16))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*f + 185, 0*f = 4*a + 2*f - 152. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**20*x**16 assuming x is positive.\nAnswer: x**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15060500 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (2 + 19)) + 89\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -5b891?\nAnswer: 5b896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 7*x - 3. Let h be j(-6). Suppose h*w + 23 = 4*w. Let q = 666 - 664. Solve -q*f + 7 = -g, 1 = 5*f + 4*g - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/(-11) - 1) + 351\/429. Solve 3*s = -3*h + 11 + y, -5*s + h = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -131060, -262112, -393156, -524192, -655220, -786240?\n\"Answer: 4*d**2 - 131064*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 55*a**2 + 3*a. Let c be v(-1). Let n = c + -47. Suppose -80 = -n*b + 10*b. Is b at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*l**3 - 110*l**3 - 512*l**3 + 2 - 763*l**3.\nAnswer: -1010*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/9 - (2093\/117)\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 + 2*h - 3. Let m be y(4). What is the nearest to 0 in m, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h - 4*g - 772, 0 = -4*h - 2*g + 3088. Suppose -2*j + 4*x = -376, 8*j - 3*x - h = 4*j. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 2, g: 1, h: 4, e: 3, b: 6}. What is prob of sequence gh?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 16215*b**2 + 12*b + 16207*b**2 + 16203*b**2 - 17*b - 48642*b**2.\nAnswer: -17*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggwgwg. What is prob of picking 1 g and 2 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, y: 7}. What is prob of picking 1 j and 3 y?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5752107 to 3 dps.\nAnswer: -0.575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 109. Let r be a(27). Sort 9, 4, r, -2 in increasing order.\nAnswer: -2, r, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 7701 + 6978. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {s: 6, h: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 16 = 27*h + 4*t, 49 = 5*h + t for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/(1\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228944 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154111*g + 735 = -154132*g for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -90775.\nAnswer: 32\/90775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**5 + r**5 + 38*r - 48*r wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/24 + -2 + 2\/12*13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 86666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 10. Suppose -8*m = -9*m - 25. Let b = -26 - m. Sort b, a, 0.\nAnswer: a, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 18*z**2 - 35*z - 43. Let n be y(-16). Let u(v) = 6*v + v**2 - 1 + 3 - 2*v**2. Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -5\/2*x**2 + 3*x + 4\/3*x**3 + 1\/4*x**4 + 42. Calculate a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10 + 6)*(72*v - 10 + 10) + 0*v - 3*v + 4*v.\nAnswer: 1369*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.1 rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**3 - 6*w + 8. Let j be b(6). What is the hundreds digit of (j\/(-10))\/((-22)\/55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:54 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-1 - -2) + 3. Suppose 24 + 28 = o*c. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13057 + -13058. Sort -5, -12, z, 3, 15 in decreasing order.\nAnswer: 15, 3, z, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a - 4*a)*((99 + 33 + 67)*(1 + 0 - 2) + 1 + 4 - 3).\nAnswer: 985*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1791 - 30249*f**2 - 111187*f**2 + 1791.\nAnswer: -141436*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + 5 + -16 + 7 + -20.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54111363 rounded to three dps?\nAnswer: 0.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d693 + 5?\nAnswer: 1d698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.865 - 4.935. Let p = 1.43 + -1.5. Let h = u - p. What is the second biggest value in h, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -702*x**4 - 2*x**2 - 2*x - 108359 wrt x?\nAnswer: -2808*x**3 - 4*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6079 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -230.6 and -2.\nAnswer: -232.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 4*l**2 + l**5 + (l + 2*l**4 - l)*(-1 + 1 - l) + 13*l**4 - 13*l**4 + 3*l**5 + (5 + 14*l**3 + 18*l**3 - 7)*(l**2 + 2*l**2 + 0*l**2).\nAnswer: 98*l**5 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 8. Suppose -4*p = i - 3. Suppose -5*k - 69 = -84. Put k, -2, 0, p in descending order.\nAnswer: k, 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120 (base 5) to base 10.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 1. Let m(a) = -7*a - 2. Let l(t) = -t. Let v(j) = 30*l(j) - 5*m(j). Let c(z) = 10*z + 19. Let s(i) = -6*c(i) + 11*v(i). Determine 6*g(y) + s(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1)\/(2 + (-6 - -3)). Let b = 69 - 74. Let y be -4 - (-1)\/(b\/(-85)). Solve -y = -g + k*c, 2*c - 7 = -4*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.04 and -0.4?\nAnswer: 1.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d - 18. Let s be -1 + 272 + (0 - d\/(-6)). Suppose -a + 6*a = s. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20775191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 222*j**2 - 1. Let z(b) = 10*b**2. Calculate r(z(p)).\nAnswer: 22200*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m + 5 - 8 + 7 - 5. Suppose -5*o + 2 = 3*g - 2, -2*o + 14 = -5*g. Calculate l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 25. Let u be h(-5). Suppose -2*l + 3*a + 714 = u, -3*l + 3*a + 1078 = 4. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18948522 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -5*g + 5*a + 33, 2*a - 86 = -4*g. Let k(s) = -s**2 + 20*s + 44. What is k(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1065581 less than or equal to -1065590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1965 + 98251\/50. Is l at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/4)\/a)**(-1\/21)\/(a**(-14)*a**(2\/17)) assuming a is positive.\nAnswer: a**(19841\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4832 + 3*l**2 - 4866 - 2*l**2 + l)*(-7*l + l - l).\nAnswer: -7*l**3 - 7*l**2 + 238*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -37) + -14 + 59?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1394 + 9291. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k - 26*k + 66*k = -114*k + 10146 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-95) + 64\/160. Is 5\/2 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1670000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -725 - -748. Suppose -6*m = -n*m. Solve f + 0*f = m, 5*a - 4*f + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 3 + -806 + 791?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3070 is divided by 99.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*p + 7635 - 1165 = -4234 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 587 - -7005?\nAnswer: 7592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497518363?\nAnswer: 19, 26185177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/461487644 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 450.1112724 to the nearest integer.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -339 - -366. Suppose 24 = 25*i - q*i. Is -25\/2 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osddodddwoiddyssdd. What is prob of picking 1 d, 1 s, and 1 o?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1336*l - 78945 = 116767 - 74136 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049662777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (60\/108)\/(19\/(-1197))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -8. Let p = t - -13. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4 - 44052*p**3 + 646771440*p**2 - 3163573646128*p - 19004735165136 = 0. What is p?\nAnswer: -6, 14686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67980328 times -5\nAnswer: 339901640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72887 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6956.76 millilitres in litres?\nAnswer: 6.95676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c + 21. Suppose -c = -2*y + 13. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 200020021200?\nAnswer: 200020021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*d - 45507 = 548*d for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2494, 26434, 91420, 217978, 426634, 737914, 1172344?\nAnswer: 1750450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 54*o**2 - 5*o - 4. Let l be x(4). Let w be 4\/26 + l\/(-52). Let m be 12\/((4 + 116\/(-32))*-2). Is m at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 2. Let q be d(-8). Let a = q - -2. Let o(f) = f**2 - 2*f + 3. Calculate the remainder when a is divided by o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:25 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 3*j)*(22 - 9 + 29)*(3 + 3 - 3)*(-4 + 3 - 2).\nAnswer: -1134*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 23*o + 13. Does 16 divide l(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 20. What is the least common multiple of c(-36) and 20?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451192 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 2*n**2)*(-10*n**3 - 155*n**2 + 77*n**2 + 77*n**2) + 2*n**3 - 2*n**3 + 2*n**5.\nAnswer: 22*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2*y + 28, 0 = -y - 21*a + 20*a + 2 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 - 4*v - 7. Calculate m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 1129*w**4\/12 - 233*w**3 + 3695*w**2. Differentiate o(t) with respect to t.\nAnswer: 2258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -137, 0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = -k, -2*d + 5*k + 11 = -24. Suppose -5*x - 49 = 4*a, 0 = 4*a - d*x + 54 + 25. Let s = 23 + a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 35*f**2 + 22*f + 31. Let g be -21 - 0\/1 - 2763\/(-921). What is d(g)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5202, 5202, 5204, 5208, 5214, 5222?\n\"Answer: h**2 - 3*h + 5204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35493, -70937, -106381?\n\"Answer: -35444*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375 + -373. Solve 1 = p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**2 + 4*u**2 - 5*u**2 - 14*u**2 as y + i*u**2 + p*u and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3270.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1992, -4104, -6356, -8754, -11304, -14012, -16884?\n\"Answer: -p**3 - 64*p**2 - 1913*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 247433173 and 0.1.\nAnswer: 24743317.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1377 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 g when three letters picked without replacement from ikkgguikubkkkkt.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let i(l) = 2*l**2 + 5*l + 4. Let x be i(-3). Let s = x - 5. Let n(f) = 1. Let o(t) = s*n(t) - b(t). Differentiate o(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 71058150*j**2 + 252463034071125*j.\nAnswer: 5*j*(j + 7105815)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 3, 4, 5 in descending order.\nAnswer: 6, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-20)\/130 - 54\/(-13)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/5))**17 assuming r is positive.\nAnswer: r**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 1. Let p be m(-6). Let v = 62\/5 - p. Sort 0.2, v, 5.\nAnswer: v, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74\/9 + 32\/(-144). Solve t = -3*i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93726)\/(-12) - 30\/(-60). Calculate the highest common divisor of n and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ksbsssksssb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1476, 0.2, 3, -15\/14, -1\/5 in decreasing order.\nAnswer: 3, 0.2, -1\/5, -15\/14, -1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/128*8\/20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24744 - -59809. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14136181 * -2\nAnswer: -28272362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1090)\/(-15))\/((-11)\/(-3) - 3). What is the derivative of y + 31*c**3 + 8*c**3 - 22 + 27*c**3 wrt c?\nAnswer: 198*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.04, 38, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -26, -1, 80, 241, 506, 899?\n\"Answer: 4*y**3 - 8*y**2 - 11*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*z**2 + 18*z**2 - 12*z**2 + 71*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 53*x + 56*x = 7, x = -4*g + 29. Sort 2, g, 20.\nAnswer: 2, g, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -335, -0.1, 0.4?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 15 = -3*v. Let x = -11 - -1. Let g be v\/(-15) + x\/(-18). Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)\/((-2)\/(-2)). Let q(r) = 2*r**2 - r. Let o be q(z). Suppose -2*w - o*i = 5 - 22, 5*w - 33 = 2*i. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -356633\/280768 - 117\/4387. Let k = -8351\/372 - -342\/31. Calculate the common denominator of k and t.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-609)*28*(-9)\/(-220))\/(3\/30).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrqqrrqrq. Give prob of picking 3 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*i + 2352099 = 254*i + 192851. What is the remainder when i is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three tenths of a gram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:59 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -3)\/((-2)\/(-6)). Suppose -n*p + p = -4. Solve -4*l + 3 = -1, -p*x + 3*l + 5 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -106*r + 17. Let f(n) = -n - 2. Let h(z) = -d(z) - 4*f(z). Is h(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 55, -116194, -13\/2?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/150)\/((-264)\/(-2200)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 5*n**4\/12 + 34*n + 11. Let g(k) = -615*k**2. What is g(p(z))?\nAnswer: -15375*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 94*t - 70. Calculate the lowest common multiple of z(30) and 625.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75, -127, -207, -327, -499?\n\"Answer: -2*p**3 - 2*p**2 - 32*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 7*l - 3. Let g be q(7). Let d(w) = -w**3 + 2*w**2 - 3*w. What are the prime factors of d(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -141, -181, -221, -261?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -m + 5, l - 14 = 7*m - 12*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1145322200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 69 = 381. Calculate the highest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -47*o**3\/6 + 19*o**2\/2 + 35*o. Differentiate a(i) wrt i.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(2*d**2 - 1 + 1) - 1 - 2*d**2 + 1 + (3*d - d - 4*d)*(-4 - d + 4) + 0*d**2 - d**2 + 3*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 605865*x**2 - x - 1724194 with respect to x.\nAnswer: 1211730*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 8. Suppose 6*t = 2*t. Suppose t = 5*l + d - 33, -2*d - 39 = -4*l - 7*d. Let g(w) = -2*w + 9. Give l*g(f) + 7*r(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 65*k**2 + 2*k - 2. Let d be v(1). Suppose 5*m + 52 = 4*h, -2*h + m + 26 = -4*m. What is the greatest common divisor of h and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -13*x - 152. Let t be j(-14). What is the highest common divisor of t and 432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w + w = -3*w. Let i(v) be the first derivative of w*v + 6*v**2 + 1 - 14\/3*v**3. Find the second derivative of i(f) wrt f.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*h + 547*h = 246*h + 374 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, c: 6, r: 2, w: 1}. What is prob of picking 2 c and 1 w?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -926007.6 + 925397.5709. Let v = -610 - i. What is v rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from hthtapqtqqqhxhhxth?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -431158243487 - 1.6\nAnswer: -431158243488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 - -284. What is the third derivative of -28*r**2 + 2 + 230*r**v + 61*r**2 - 5*r**2 wrt r?\nAnswer: 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106406 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16919 is divided by 2819.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/24 + j**3\/6 + 2*j**2. Let c be a(-2). Calculate the greatest common factor of c and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 592, 3, -84 in increasing order.\nAnswer: -84, -8, 3, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - 4*n**2 + 6*n**2 - 34 + n**4 as j*n**3 + a + d*n**4 + h*n + m*n**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(2) + -1 - 1*(sqrt(2) + sqrt(10)\/sqrt(5))) + 5*2*sqrt(72)*-2 + -4)**2.\nAnswer: -2530*sqrt(2) + 26571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3410422 - -32?\nAnswer: -3410340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145851 + -79198. What are the prime factors of p?\nAnswer: 66653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4590 and 20730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) -0.5 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 + 28*s**2 + 12*s + 44. Let a = 80 + -40. Calculate the remainder when v(-6) is divided by a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 22*a - 4. Let k be i(-2). Let f = k - -51. Let y(h) = 1 + f*h**2 + 2 - 3. Let t(c) = 3*c. Determine y(t(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1\/9, -21, 4, -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 2\/3, 3\/7, 0.22, -153, 0.3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**5 + b**4 + 2906*b**2 + 2562172*b wrt b.\nAnswer: 200*b**3 + 12*b**2 + 5812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 5*b**7\/42 - 11*b**6\/24 + 7*b**5\/12 - 5*b**4\/24 - 3*b**2. Factor u(g).\nAnswer: 5*g*(g - 1)**2*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -4\/3 (c) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(4 + sqrt(243)*3)*-6.\nAnswer: 72 + 486*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6\/h*h*h**1*(h**(-2\/11))**(3\/19) assuming h is positive.\nAnswer: h**(1457\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/30)\/((-1*4)\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54505 (base 13) to base 9\nAnswer: -252101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*r + 131 = 0, 5*q + 4*r - 402 = -86. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434.3 + 434. Which is the fourth smallest value? (a) u (b) 2\/11 (c) -4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*z**2 + 352*z - 80 = 0. Calculate z.\nAnswer: -10, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2 - 3*f - 2. Let g be i(3). Let o = g - -2. Let y(r) = -2*r - 8. Let c(q) = -3*q - 8. Let w(p) = -3*c(p) + 4*y(p). What is w(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-130))\/(-9 - (-308)\/35)*2. Let w = 1 - 0.8. Which is the nearest to -1\/3? (a) l (b) w (c) 13\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**4 - 2035*i**3 + 83010*i**2 - 567680*i + 1071520 = 0. What is i?\nAnswer: 4, 37, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8743, -8748, -8765, -8800, -8859, -8948, -9073?\nAnswer: -9240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*u + 9, 2*g = -u - 0*g. Solve -d = -5*r + 2*r - 7, -u*d + 5*r = -12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2. Let l(r) be the first derivative of -3*r**2 + 14*r - 575. Determine -2*l(m) - 14*t(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k - 74 + 41801*k**5 + 3*k**3 - 20947*k**5 - 20904*k**5 wrt k?\nAnswer: -1000*k**3 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 0 + 0 - 1 + 3*z. Let p be (-1 + 0)*(2 - 2). Give k(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -17 (b) 4808\/5 (c) 1\/3 (d) -1\/7 (e) -1\/3 (f) 3 (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 5 + 38 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19230)\/(-5769))\/((-10)\/(-126)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1761213 - -646729.\nAnswer: -1114484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = 6, -3*z = -2*y - 20. Suppose -3*p = -z*m - 194, 4*m = p - 33 - 45. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -3, -1, -4897.44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 7*l + 15*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:28 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 0)*6\/12. Solve a + g - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*l*o*t*v + l*o*t + l*t*v - 2*o*v + 6*t*v + v + 1 wrt o?\nAnswer: 8*l*t*v + l*t - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8 - 0.2. Sort -16, 0.4, p in ascending order.\nAnswer: -16, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -327 (b) 0.3 (c) -3 (d) -1\/10 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10110101111000110001010 (base 2) to base 8\nAnswer: 26570612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abzbabazabba. What is prob of picking 1 z and 3 a?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-450)*3*1995\/171*(-2)\/(-14).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llssxosllolzxzl. What is prob of sequence sl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.2891846.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 5270217?\nAnswer: -5270222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17942, 17943, 17944, 17945, 17946?\nAnswer: 17947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 6\/3 - -55. Suppose 5*v + 5*r - d = 0, 5*v - 16 = -r + 31. Let x = v + -5. Solve -5*m - 2 = 3*k + 28, -x*m = 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2780 - -5030. What is v rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + 0.1. Suppose 4*u - 3*j = -6*j + 419, 3*u - 4*j = 283. Suppose 109*y + 16 = u*y. Sort -1\/4, y, o, 0.3 in descending order.\nAnswer: o, 0.3, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + 4*a)*(-a + a - a + (a - a - a)*(-7 + 3 + 2))*(-5 + 7 + 2) - 320 + 320 - 18*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 1 - 1)*(0 - 3 + 1)*(1 - 4 + 1)*(-x + 2*x + x).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 9*h + 389. Find the common denominator of 77\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127966 + -248146. Round m to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m**3 + 4. Let c(n) be the second derivative of -13*n**5\/10 + 11*n**2\/2 - 16*n. Determine 4*c(d) - 11*k(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 91, 182, 313?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.14 (c) 1.4 (d) -4 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484861148.\nAnswer: 2, 17, 383, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - -27.4. Let v = y - 28.62. Let w = -0.12 - v. What is the third smallest value in -9, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 36*t - 2340. What is g(65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -6.\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24597227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/4 + 19\/2. Let x be 1 - ((-22)\/(-18))\/1. What is the closest to 0.1 in x, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3*r + 9, -10*a + 5*a - 2*r = 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/5)\/(-7) - 172\/(-10). Suppose -15 = -4*r + a. Let i = -8 + 72. What is the greatest common factor of i and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9124877 + -71393037529\/7824. What is the common denominator of 25\/18 and r?\nAnswer: 23472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 3*v. Suppose c = -v - 0. Let u be c + -14*(-1)\/2. Solve 5*s - u*p - 4 = 1, 0 = -4*s - 2*p - 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -89, 5, -3062, -4 in descending order.\nAnswer: 5, 3, -3, -4, -89, -3062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302*a + 5*b = -1305*a - 32, 4*b = 3*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/10 - 779*d**3\/10 - 48989*d**2\/10 + 779*d\/10 + 4899 = 0?\nAnswer: -710, -69, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 7) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4912 and 3575936?\nAnswer: 3575936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, 0, -54, 5, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, 0, -4, -26, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m - 1\/9*m**3 - 1\/10*m**5 + 1\/45*m**6 + 0*m**2 + 1\/6*m**4 + 0. Determine n so that b(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdr when three letters picked without replacement from fdfsrrp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**3 + 14*b**2 + 14*b. Let p(n) = -245 + n**2 + n - n**3 + 0*n + 245. Give 56*p(s) - 4*w(s).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:27 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1470\/(-112))\/21*(-2)\/(-5)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -40 (c) -0.03 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-22) + (-1878)\/90144*24\/(-11)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*y + 80*y = -2. Let w(n) = -22*n**2 - 1. Calculate w(y).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 2)*(-3*y**2 + 7*y**2 - y**2)*((-1 + 1 + 1)*(2*y + 3*y - 3*y) + 2*y + 3 - 3 - 3*y - 2*y + 2*y + (-2*y + 2*y + y)*(-3 + 3 + 2)).\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -82. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.5 - -35. Let q = -0.4 - u. Put 0.3, q, -0.5 in decreasing order.\nAnswer: 0.3, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172\/12415 or -0.016?\nAnswer: 172\/12415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g*o**4 + 2*g*o**2 + 22694*g - 163*o**4 - o**3 wrt o?\nAnswer: 96*g*o - 3912*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 94 + 66 = 0. Calculate the remainder when j is divided by (-6)\/4*14\/(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1074a7 (base 11) to base 8.\nAnswer: 515731","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - w - 1. Let f(v) = -152*v**3 - 4*v**2 - 69*v - 4. Let c(p) = 4*b(p) - f(p). What is the second derivative of c(m) wrt m?\nAnswer: 912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.99328 + -0.00672. What is the second smallest value in 3, r, 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43786.75kg in grams?\nAnswer: 43786750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4794.95811 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/8)\/(-3))\/(8\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 (base 13) in base 7?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 5*z + 2*z)*(-3*z + 2*z + 0*z) + 0 - 13 + 13 + 15*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33830, -30682, -27534, -24386, -21238?\n\"Answer: 3148*k - 36978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*m = 3, -4*m - 9 = -5*c + 4. Suppose -d + 4*u + 1405 = 1014, -3*d = 3*u - 963. Calculate the least common multiple of d and c.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 j when four letters picked without replacement from aaahaahajaaaaha.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 - 4*r. Let b be g(2). Let s be 28 - (6 + b + -3). Let v = s - -7. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41789 (base 16) in base 2?\nAnswer: 1000001011110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445937*r - 2 + 4 + 5 + 445944*r - 7.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/60 - 25*n**4\/24 + 14*n**3\/3 + 9*n**2. Let z be o(-26). What are the prime factors of (-4)\/(-6)*9\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(80))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 9:22 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 228132349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10343 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5431*y - 5435*y - 10*y**3 + 8*y**3 + y**2 - 2 - 3*y**4 to the form k*y + a*y**3 + i*y**2 + w*y**4 + d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by 198.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 - 69*j**2 + 5*j + 310. Give q(-17).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/54955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 288, 0.02, -1\/10?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34600103*k**5 - 22*k - 141268 wrt k.\nAnswer: -692002060*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131c2 (base 15) in base 5?\nAnswer: 3424112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 726795 and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u + 197. Suppose 46359*h + 136 = 46363*h. Determine k(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 + 0)\/(-3))\/(-1). Let n be 2\/(((-20)\/(-25))\/2). Solve a = -f - m + 1, n*f + 3*m + 4 = 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*p - 4, 1 = -p - c - 6. Let w be p + 2 + 4 + -1. Suppose 4*k + 2*d = 158, w*d = 2*k - 3*d - 109. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-2*y**5 + 4*y**5 - 4*y**5) + 161*y + 0*y**5 - 153*y + 3*y**5.\nAnswer: 5*y**5 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0)\/1 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 342\/15 - 3\/(-15) - -2. Let b be -2 - (-3)\/(9\/588). Suppose 181 = 5*v - b. What is the greatest common divisor of n and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42055727 (base 8) to base 7.\nAnswer: 135646444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 1 = -3, -5*s - 366 = 4*p - 376 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 27 = -3. Let t(z) be the third derivative of z**5\/60 + z**4\/24 + 8*z**3\/3 + z**2. What is the remainder when k is divided by t(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-5*5\/(100\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1301813520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 4*d + 30, 0 = 4*z + d + 435 - 450 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000819 to six decimal places.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/3)\/b)**(-2\/11))**(1\/4) assuming b is positive.\nAnswer: b**(4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 82357 and -0.04.\nAnswer: 82356.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r**2 + 5*r**2 - 3*r**2 + 2*r**3. Let i(j) = j**3 + j**2. Calculate -2*c(m) + 5*i(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 45*o**2 - 39*o - 206. What is the remainder when y(44) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -103*i - 25*i + 0*i**2 - 36 + 15*i**2 - 49*i = 0?\nAnswer: -1\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 1\/3*r**3 - r**2 + 4*r + 2. Let a(l) = l**3 - 51*l**2 - 2*l + 104. Let z be a(51). Give n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.9853 + 46.0537. Let g = -51 + d. Let r = g - 0.0390352. Round r to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7209 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - m**2 + 4*m + 1. Let k be f(-2). Solve -4*r + 17 = -k*x, 4*x + 4*r = -0*r - 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183572 times -1\nAnswer: 183572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*v - 66, -2*v - 104 = -41*k + 38*k. Calculate the lowest common multiple of 21 and k.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2 - 16\/(-6)). Let x(v) be the first derivative of 9*v**2\/2 - 2*v - 24388. Let y = -16 + 11. Let f(h) = -5*h + 1. Calculate g*x(z) + y*f(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1245040 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 5. Let f(z) = -6. Let h(b) = 5. Let n(l) = -4*f(l) - 5*h(l). Let p(y) = y**3 + 11*y**2 + y + 12. Let a be p(-11). Determine a*m(x) - 4*n(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*x + 4383060 = -112*x. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - ((-2)\/(-1) - 483). Let h = j - 331. Calculate the remainder when h is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.459 + -0.059. What is the nearest to -1\/3 in 5, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2052*l + 16 = -2048*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*b - 102 = 0, -30 + 103 = -4*p - b + 37 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-76)\/(-20) + -4)*0)\/(-3). Solve 5*f - 16 = -j - h*j, 2*j = 4*f - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*42.77\nAnswer: -470.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23338 - -24684. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 454*x + 52185. Determine b(-95).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 14 + 2. What is the remainder when 17 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/65 - -3) + -1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -25. Let x be (6\/(-4))\/(12\/h). Suppose -148 = a - 4*a + 4*z, -x*a + 147 = -3*z. 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: Suppose -a = 4*w - 18, -a + 13 - 1 = 2*w. Let g(j) be the third derivative of -7*j**4\/24 - 2*j**3\/3 - j**2. Determine g(w).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 2096 + 1232. Sort v, -3, -1.\nAnswer: v, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 1, r: 1, u: 3, c: 5}. Give prob of sequence rqc.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 55053?\nAnswer: 55055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 13 - 18 + 54 - 11019*p.\nAnswer: -11019*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6*u + 4. What is y(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.1265604503 + 537.1265598373. Let q = l - 528. Round q to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4205500 rounded to the nearest 10000?\nAnswer: -4210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017625265 to 5 dps.\nAnswer: -0.01763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 56 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2025742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16968 = 97*m. What is the remainder when 1507 is divided by m?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.097855 to four decimal places.\nAnswer: 0.0979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-249)\/(-39176))*3\/(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61471.63l?\nAnswer: 61471630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20\/9 - 82\/45. Let q = 16\/15 - u. What is the nearest to q in 1, 1\/7, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/74 and 16\/76923?\nAnswer: 153846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/48767016 and 91\/956216?\nAnswer: 48767016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -84*z + 36. Let m(s) = 12*s - 5. Let d = -300 + 264. Determine d*m(y) - 5*u(y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 0\/4*(2 + -1). Suppose 5*m + l*n - 56 = 999, -857 = -4*m - 5*n. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 661*f - 1 = -663*f, -5*s + f + 5 = -22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 6*g + g + (g + 2*g - 2*g)*(0 + 2 + 0) - 2*g + 3 - 3 + (2*g + 0 + 0)*(1 + 2 - 1).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 6*t + 2. Let j be u(-6). Let p be (35\/(-5) - -3)\/((-740)\/(-555)). Put j, -5, 6, p in decreasing order.\nAnswer: 6, j, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19456326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.233033 and 0.01.\nAnswer: 4.243033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000164485361 rounded to six decimal places?\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 701 = -5*m + 716, -4*g = -32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47350222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242018771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 c when three letters picked without replacement from txxccclxtxxtcx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 13. Let y(z) = -z. Let d(l) = 3*l. Let t(u) = 4*d(u) + 10*y(u). What is t(v(x))?\nAnswer: -4*x**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212737857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2925213, 2925212, 2925211, 2925210, 2925209?\n\"Answer: -m + 2925214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -79209 divided by 3\nAnswer: -26403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -680, -1337, -1990, -2639, -3284?\nAnswer: -3925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 70.4. What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baabmaaaamba. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -5 (b) 0.8 (c) 5 (d) -2\/181 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1117*y + 3910*y + 5586 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q**2 + 3*q + 1. Let m be b(-1). Suppose -3*a - 5 = 2*a, -m = 5*o + 5*a. Let w(d) be the first derivative of -9*d**4\/4 + d**2\/2 + d - 1. Give w(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1562 (base 7) to base 2\nAnswer: -1001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24634.410624 minus 2.31?\nAnswer: 24632.100624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23768, -3\/5, -1, -12, 0.3 in descending order.\nAnswer: 23768, 0.3, -3\/5, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m. Let f(c) = -5*c. Give f(q(d)).\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33\/8? (a) 2\/13 (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 4 + 16*y - 4.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(9\/((-72)\/28)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in -0.4, -3.2, 2, 3?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 14 - 10 = 0. Let m be (w\/12 + 1)*6. Which is the biggest value? (a) -10 (b) m (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 53.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/226 bigger than -860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 119. Let a(q) = -4413 + 4413 + 11*q**2. Calculate a(l(f)).\nAnswer: 44*f**2 + 5236*f + 155771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 6*l**2 - 6*l + 6. Let s(u) = -u**3 - 5*u**2 - 5*u + 5. Suppose 10*t = 12*t - 10. Determine t*p(o) - 6*s(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46 (b) 5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7959, 7918, 7877, 7836, 7795, 7754?\nAnswer: 7713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 21*y**2 + 9*y + 5. Suppose -202*i = -192*i - 100. Let p be g(i). Put -3, p, 4, 3 in ascending order.\nAnswer: p, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2. Suppose 7 + 3 = -r - 3*p, 2*p + 8 = 0. Let d(u) be the first derivative of 0*u**r + 0*u - 7 + 7\/3*u**3. What is d(a(b))?\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 11*x + 9 = 0. Solve x*l + 5 - 8 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/(-44))\/(-9))\/((-172)\/(-3784))*11?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 1\/12*o**4 + 0 - 5\/3*o**3 + 7\/2*o**2 + 55*o. Calculate n(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 - -5. Which is the closest to -1\/11? (a) -5 (b) 3 (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.04 + 0.04. Let p = 1.4 - 2.3. Let d = p + -0.1. Sort m, 0, d in descending order.\nAnswer: 0, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q**2 + 5*q - 15. Does 13 divide y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 21 - (-3 - 7 - 2)) + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465 - 1237 = -50*r + 148 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956833140 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240917428?\nAnswer: 2, 60229357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15176558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5\/3 + 1076*a**4\/3 - 4008*a**3 - 79720*a**2\/3 - 119044*a\/3 - 17476 = 0.\nAnswer: -3, -1, 17, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 763, 796, 843, 904, 979?\n\"Answer: 7*d**2 + 12*d + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -2\/5, -2\/31, 1\/2, -3, -3\/101?\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 20*g**2 + 15*g - 50 = 0.\nAnswer: -2, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(275)*3 - sqrt(275)).\nAnswer: -1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*b + 156 = -3*b, 5*z - 195 = -b. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 413*s**3 - 90864*s**2 + 856*s + 5271. Determine i(220).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 53 (b) -2 (c) -0.058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22176211 and 1207?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 770 = -810. Solve -2 = -m*r - 26 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((((r**(-14\/9)\/r)\/r)\/r)\/r)*r*r)*(r*r**(2\/51))\/r*r)\/(r*r\/(r\/(r\/(r*r**(-13))))*r\/(r*r*r**(-14)*r*r)) assuming r is positive.\nAnswer: r**(-4822\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -679*i + 16. Let k(g) = 8148*g - 196. Determine 4*k(b) + 49*q(b).\nAnswer: -679*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + n + 3. Let c be f(0). Let d be (c*10)\/((-24)\/(-128)). Suppose -5*p + d = -0*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100022 (base 3) to base 10.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 4*m**2 + 8*m + 5. Determine j(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*h + 110*h = -15330000. What is h rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/4 + 5*b**2\/2 + 7*b + 6 = 0. Calculate b.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 8*p - 153.\nAnswer: (p - 17)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15396434 to the nearest integer?\nAnswer: 3924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.389 - 565.479. Let u = 563 + a. Sort u, 4, 0.2 in increasing order.\nAnswer: u, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 33*q**2 + 65*q + 117. Give i(35).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 5*a**2 - 2*a - 1. Let m be 147\/(-48) - 3\/(-48). Calculate d(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178 (base 13) to base 15\nAnswer: -12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/116310400 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -73. Let c = b + 65. Is 347611\/c - 2\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 * -114182\nAnswer: -51381.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2 (b) -0.5 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 1, -6, -0.5, -92.87 in descending order.\nAnswer: 1, -0.3, -0.5, -5, -6, -92.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4837872152.\nAnswer: 2, 31, 79, 246931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28 - -788.\nAnswer: 788.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02994 - 9202252946?\nAnswer: -9202252946.02994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 2. Let r(g) = g**2 - 3*g - 15. Let i be r(5). Calculate the remainder when 21 is divided by k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278427 + -278423. Let l = 3 + -1. Let p = 25 - 16. Put g, 3, l, p in decreasing order.\nAnswer: p, g, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605251.6 rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -141. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-6)*6\/(-5). Let o be 7 + -9 - s*-1. What is the second derivative of 6*b - o*b + 6*b**4 + 0*b - b wrt b?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182 - 168. Suppose 4*a = -20 + 196. Calculate the remainder when a is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 40. Let u(r) = r**2 - 4*r + 4*r - 6. What is the remainder when u(5) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287082 divided by -6\nAnswer: 47847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -5. Let o(t) = -t + 3. Let g(d) = -1. Suppose 3*c + 12 = 4*r, 2*r - 8 = 8*c - 7*c. Suppose r*h - 7 = 5*h. Give h*g(i) + l*o(i).\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 3*h = b + 4, 0 = -3*b + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-7)\/h*h*h*h**2\/h)**(-7)\/((h*h*h\/(h\/(h*h\/h**(-2\/5)*h)))**50)**(-43) assuming h is positive.\nAnswer: h**11638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cooc when four letters picked without replacement from ocooocooooooo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186532, 186588, 186644?\nAnswer: 186700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0 - 3. Let y = 6 + u. Suppose y*v - 4*v = 0. Solve 0 = -v*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151996.\nAnswer: 2, 13, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/17)\/(k**20\/k))**(-27) assuming k is positive.\nAnswer: k**(8694\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 n when four letters picked without replacement from {x: 1, h: 3, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26315.989653 + -26434.9895. Let x = 119 + b. Round x to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204554 (base 6) in base 12?\nAnswer: -3075a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-11))\/b**(-2\/5))**(1\/3))**(-16) assuming b is positive.\nAnswer: b**(-992\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794*w**3 - 30 - 975*w**3 - 1030*w**3 + 27.\nAnswer: -211*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 k when four letters picked without replacement from kzzkzzkkzkzjkz?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -143 (c) 4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 6*w**3 + 37*w**4 + 110 - 86*w**4 + 27*w**4 + 24*w**4 to the form v*w**4 + j*w**2 + n*w + y*w**3 + p and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 35*y - 34. Let s(h) = 3*h**2 + 18*h - 17. Let i(m) = -7*s(m) + 4*w(m). What is the units digit of i(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n + 14. Let m be o(0). Suppose -m = 4*y - 38. Find the third derivative of 0*z**y + 6*z**2 + 0*z**6 + 3*z**6 + 2*z**2 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -641191202 divided by 13642366.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297\/(72\/(-8))*(-2)\/18*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.6 (b) 2 (c) -0.2 (d) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38614036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23723878*q**3 - q**2 - 159819750*q wrt q?\nAnswer: 142343268*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let c(k) = -k**2 + 7. Give q(c(d)).\nAnswer: d**4 - 14*d**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -3, -2 in descending order.\nAnswer: -2, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 166, 194, 222, 250, 278?\n\"Answer: 28*p + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 2 + 5*u + 2*u**2 - 5*u as q*u + m*u**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**4 - 3935*o**3 - 54*o**4 + 3*o**2 + 3937*o**3 - 2*o**2 - 3 in the form t*o**3 + b*o**2 + n + s*o**4 + f*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + 2 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 308 = -33*a - 574 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2. Let w(t) = 257608*t. Calculate w(f(a)).\nAnswer: 772824*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44318*i**3 - 3842 + 3842.\nAnswer: 44318*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 4*w**3 + 4*w**3)*(-3 + 3 - 3*w**2) + (5 - 2 - 4)*(-2 + 0 + 1)*(-52*w**5 - 380*w**2 + 380*w**2).\nAnswer: -58*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - 2*a**2)*(0*a + 2*a - 3*a) + 18*a**3 + 5*a**3 + 5*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588200 to the power of 1\/2, to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431970436 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 113. Sort 3, -0.3, m in ascending order.\nAnswer: -0.3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9457716 divided by -38446\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*q = -175*q - 205. Let u be 0\/(-1*(0 + 1)). What is the nearest to 0 in u, q, 8\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11275.5 + 11275.50103806. What is j rounded to 5 dps?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3817.2904 rounded to 0 decimal places?\nAnswer: -3817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -34.5, 5, 3\/41, 1?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -52, -106, -194, -328, -520?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*j + 12*j. Let x = -464 - -477. Solve s = -2*u - x, 0 - 3 = j*u - 4*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {d: 2, c: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 4 = 4*q, 2591*q + 14 = 2590*q + 2*m for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 1.9, -1\/4, -0.23, 1 in increasing order.\nAnswer: -3, -1\/4, -0.23, 0.3, 1, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -9 (b) 288 (c) 1 (d) 4 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10806*q**5 + 4179*q**2?\nAnswer: 648360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7 - 34\/(-7). Suppose k = -y*k + 198. Let b = k + 93. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222010200002222 - 2?\nAnswer: 222010200002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21728 is divided by 146.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*m + 29, -5*m + 6 = -3*g + 33. Suppose 4*h - 5*c = 30, g*c = -0*h - h - 3. Solve 2*y = -h*x - 2*y - 22, 0 = -y - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 27759, 7 in increasing order.\nAnswer: -7, 7, 27759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -56, -79, -130, -221, -364?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddll. Give prob of picking 1 l and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10195b (base 15) to base 3.\nAnswer: -1102212012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -4, 5, -89860 in descending order.\nAnswer: 5, 1, -2, -4, -89860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 + b + 1. Let d(w) = 8*w**3 + 25*w**2 + 706*w + 7. Let a(o) = -d(o) + 7*v(o). Find the second derivative of a(l) wrt l.\nAnswer: -6*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1 - 32 + 0 - 36*f + 3*f**2. Let i be b(15). Calculate the greatest common divisor of i and 1352.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 32 + 44 = 0. What is the remainder when 7 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 - 89*g**3 + 379*g**2 + 641*g - 930 = 0.\nAnswer: -93, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*h - 49*h + 25*h - 13 wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13934317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))\/y)**(4\/9)*(y\/(y**(1\/13)\/y*y))**(1\/67) assuming y is positive.\nAnswer: y**(7076\/7839)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-6)\/(-21)))\/((-9)\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 5*o - 3 - 4*o)*(-16 + 16 + 2*o**2).\nAnswer: 2*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 30 + 74 = 0. Let a = y + 25. Let b be ((-4)\/(-6))\/((-6)\/a). Solve 2*x - 9 = -l, 24 = b*x - 4*l + 9*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 612833633 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644801274?\nAnswer: 2, 3, 13, 23, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - -105. Suppose k - 5*k + 4*n = -p, -3*n = 0. Suppose -k = 5*d - 247. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 56*b + 96)*(-6*b**3 + b**3 + 2*b**3).\nAnswer: -168*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - (-13 + 9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(28\/(-21)*-3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-25 - -26) + -1 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l - 15, 0 = 3*z + 4*l - 108. Suppose -100*x + 92*x = -z. Solve 4*s + 5*m = -25, 0*s + 4*m = -x*s - 29 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -265293256 from 30.\nAnswer: 265293286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46002 divided by 11912?\nAnswer: 23001\/5956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - b + 40 = 0, 6*k + 36*b + 78 = 33*b. Let w(s) = -s. Let p be w(-2). Sort p, k, -3 in increasing order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from yttjjjjtcmcjtyjyj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/2 + -29\/8. Suppose -3*l = -2 - 4. Suppose -l*w = -3*b - 13, -1 = -4*b + 2*w - 3*w. Is p greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (54 - -27) - (-122 - 2)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330004283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 23 + 15 - 2*n**2 + 2*n - 108 + 8 to the form m*n**2 + s*n + r and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 + -10010010101101010111101?\nAnswer: -10010010101101100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdd when three letters picked without replacement from cdedxtecmemcdcdteee?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8) - (-129)\/(-172). Let c(i) = -i**2 - 7. Calculate c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 12*z = 81. Let p = z - 76. Solve -7*h + p*h = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01791 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(-5\/6)\/(g**(-5)\/(g*g\/(g*g*g**(1\/6)*g*g*g))))**(4\/5) assuming g is positive.\nAnswer: g**(49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111111110100000100 (base 2) in base 5?\nAnswer: -232012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12194847421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -f + 87. What is the highest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 2. Let j = z + -1. Let k = j + 15. Which is the third biggest value? (a) 2 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/16, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 + 61544496*b + 236732811743376 = 0. What is b?\nAnswer: -7693062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*s + 2964778, -6*s + 2964780 = 3*a - 9*s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 2*q - 25*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.69*-0.524\nAnswer: 0.36156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75133518.\nAnswer: 2, 3, 12522253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2 + 55*t - 27. Calculate b(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3457542278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010314 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, m: 3, e: 1, h: 2, t: 8}. Give prob of sequence be.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/360 + r**5\/24 - r**4\/8 + 5*r**3\/6 - 9*r. Let b(q) be the second derivative of t(q). Let w = 403 - 409. Calculate b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82240491 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3 + p**2 + p - 3*p + 0*p**2. Let w be x(-9). Suppose -3*n + w = -n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2547.06203 + 0.06203. Do -1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4810 is divided by 961.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 5*c + 1. Let g be 18\/(-4) + 3\/6. Calculate the remainder when b(g) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15405851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -22, -13, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**5 + j**5 + 2*j**5 - j**5 + 3*j**5 - 4*j**5 + (j**3 + j**2 - j**2)*(3*j**2 - 4*j**2 + 2*j**2))*(-3924 - 3656 + 7935) + 5*j**5 - 3*j**5 - 4*j**5.\nAnswer: 353*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2140*a - 4214. What is w(2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -2*b**7\/21 - 2*b**6\/15 + 144*b. Factor q(z).\nAnswer: -4*z**4*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 8*a**2 - 2*a - 7. Let u be l(5). Suppose 0*r = -2*r - 2, -y = r. Is (-1 + y)\/(-2) - u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -562, -567, -574, -583, -594, -607, -622?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 882, 20, 8 in increasing order.\nAnswer: 8, 20, 882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, -5 in ascending order.\nAnswer: -5, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4037531901 rounded to five decimal places?\nAnswer: -0.40375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135 + 196. Let j = -53 + n. Put -1, 2\/7, j in ascending order.\nAnswer: -1, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.21, -2\/15, 0.07, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 + 2*w - 1. Suppose -19 - 17 = -2*r. Suppose 3*t + 4 = -2*x + r, -4*x = -5*t + 16. What is v(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-9) + 115124\/204 is divided by 264.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15775*k - 15775*k - 141*k**2)*(-k - k + k) - 2*k**3 - 4*k**3 - 3*k**3 to the form r*k**2 + u + h*k + y*k**3 and give y.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and -19?\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-50) - ((-56)\/40 + 1). Let v(g) be the second derivative of 18*g - q*g**2 + 0 + 3\/2*g**3. Find the first derivative of v(w) wrt w.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 122639?\nAnswer: 1103751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 24 = 15*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47359997 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1\/4, 0.1, 3682?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**2 + 4*n + 4. Suppose 3*a - 6*o + 2*o = -4, 2*a + 5*o - 28 = 0. Let l(f) = 225*f**2 + 99*f + 99. Give a*l(i) - 99*v(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + (1 - -3) + 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1587 by 3.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157705693 * -0.1.\nAnswer: 15770569.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13399396 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*u + 2 + 12, j + u + 2 = 0. Let o = -8 + 15. Let v(m) = m**2 - 6*m - 5. Let d be v(o). Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h - 15. Suppose 3*j + 4*a = -0 + 15, -13 = 2*j - 5*a. Put h, j, 5 in increasing order.\nAnswer: h, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428744119, -857488239, -1286232359?\nAnswer: -1714976479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-13))\/n**20 assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 113602, 454429, 1022476, 1817743?\n\"Answer: 113610*y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2. Let m(d) be the third derivative of -d**4\/6 - 25*d**2. Determine f(m(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18507 divided by 597\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -304, -309, -314?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*d**5*l**2 - 192*d**5*l + 64*d**2*l**2 - d**2*l - 5*l**2 + 1 wrt d?\nAnswer: 780*d**2*l**2 - 11520*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-69 - (-46 - -37))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -43 + 1\/2*z**4 + 30*z**2 - 47\/3*z**3 - z. Solve x(b) = 0 for b.\nAnswer: 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16039433\/990 - 284933\/18. Let m = d - 4506\/11. Let r = 38 + m. Are 0 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(4\/3))\/x)\/((x**(-1\/8)\/x)\/x)*x*(x*x**6)\/x*x**(3\/8))\/(((x\/(x\/((x\/((x*x**(-2\/7)*x)\/x))\/x))*x)\/x*x)\/(x**(1\/3)\/x))**(-29) assuming x is positive.\nAnswer: x**(1615\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -10 + 15 + -11. Is l != -3\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163265953 and 5765.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.3, -6, -26164, -77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147692 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, v: 4, s: 1, f: 6}. What is prob of sequence vvqf?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + -2 + 9 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0811 take away 11.53?\nAnswer: -11.6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35680 divided by -7136?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 66.04359 years?\nAnswer: 0.06604359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -6 - 9. Let r be (-2)\/p - (-6)\/(-9). Suppose 3*w = -2*l + 8, 35 = 5*w - r*l - l. What is the greatest common factor of w and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/8 - 5\/4*t - 1\/8*t**2.\nAnswer: -(t + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1053)*-1 + -3 - sqrt(1053)) + (-1 + sqrt(1053) + sqrt(1053))*-1 + sqrt(1053) + -4 + (sqrt(1053) - sqrt(1053)*-2) + -1 + 1)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/3522747 + 2381377994\/1800123717. Let m = a + -34\/73. Factor m*n**3 + 2\/7*n + 0 - 2\/7*n**4 - 6\/7*n**2.\nAnswer: -2*n*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f - 4. Let q be a(-2). Let z be (4\/1 - q)*80\/(-3). Let r = 11 + z. What is r rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/((-2982)\/(-18)))\/(-1). Is g at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.228 * 5.\nAnswer: -6.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/40 - 3*o**4\/16 + o**3\/2 + 61*o**2. Find y, given that c(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82909922527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = -14*q. Solve q = 5*f - 78 + 53 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 8\/1*(-1653)\/(-348)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-22) + (-16184)\/(-374) + -43)*(-57)\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94290 divided by -18858?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(684)*-5)**2.\nAnswer: 17099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t**(-2\/9)*t)\/t*t)\/t)*t\/(t**1*t*t))\/((t**(-14)\/t)\/((t\/t**(-3)*t)\/t)) assuming t is positive.\nAnswer: t**(164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -106.5. Let j = d - 4.2. Which is the closest to -0.1? (a) 3\/8 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1495 and 1035.\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - (8 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101047207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k, 4*s - k + 0*k = 168. Find the common denominator of s and -50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7d9 (base 14) to base 6.\nAnswer: 11123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 8*y**2 + 8*y - 3. Let i be z(5). Let k be ((-15)\/9)\/(-3 + (-763)\/(-252)). Let f = i - k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9*b - 2*h + 14158 = 0, 4*b + 4*h = 14168. What is the third derivative of -11*u**6 + 3*u**4 + 3537 - 26*u**2 - b wrt u?\nAnswer: -1320*u**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9137, 36492, 82085, 145916, 227985, 328292, 446837?\n\"Answer: 9119*m**2 - 2*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/2847047 or 0?\nAnswer: 17\/2847047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412104 - -23022?\nAnswer: -334032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2080 = b + 4*b. Suppose 0 = 4*v + 4*z - 488, b = 3*v - z + 34. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 44*x**2 - 161*x - 39. What is the remainder when 424 is divided by i(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9017 by -174.\nAnswer: 9017\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 1, -2, -3 in descending order.\nAnswer: 5, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/146533311 or 1?\nAnswer: 1\/146533311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/42*7\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*a + a - 72, 5 = -5*a. Suppose i = 4*i - m. Solve -1 = i*w - 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/19*(-1)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/11 + 456*i\/11 = 0.\nAnswer: 0, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 19. Let w = -7 - y. Suppose 10 = -4*n - n. Which is the third smallest value? (a) n (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -223.\nAnswer: 105\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/(2\/21). Is 1337\/h*(1 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1036 + 1752 = 0. What is n rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*t - 6904, -10365 + 1765 = -5*q - 5*t. What are the prime factors of q?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 11:47 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-808)\/(-24) - 2\/3. Let k be 7\/(-21) + 29\/r. Let c = -0.4 + 0.3. Which is greater: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 2, 0, 181, -4\/7, -5 in descending order.\nAnswer: 181, 2, 0, -0.16, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 11*m**4\/6 - m**3\/6 + m**2\/2 - m. Let d be z(1). Suppose -3*j = -j - d. What is the remainder when 31 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16260000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = 20*v + 4365. Suppose v + 6777 = 9*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36114007 or -36114006?\nAnswer: -36114007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = -5*y + 247. Let l = y + -103. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {f: 5, q: 5, k: 2, v: 1, r: 2, x: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00337208 to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 121, 525, 1195, 2119, 3285?\n\"Answer: -2*y**3 + 145*y**2 - 17*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161317155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*j + 4 - 4)*(0 + 15 - 5) + (9*j - 3*j + 0*j)*(2 + 1 - 4) in the form b*j + p and give b.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(7\/6)*z)\/z)\/(z*z*z**(2\/17)))**(11\/2) assuming z is positive.\nAnswer: z**(-1067\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - n + n. Let l(r) = 203 - 203 + r**2. What is x(l(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (224\/10)\/((-30)\/(-75)). Let y = c + 14. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 = -2*n, -2*n - 2*n = m + 18. Find the second derivative of 133 + 143*y**m - 43*y - 133 wrt y.\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*t - 0*t - 12, 5*t = 5*s - 15. Suppose 0 = 20*k + k - 5*z - 79, -3*k = -3*z - 9. Solve 0 = k*g + s + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 115522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 11*n**2 - 11*n + 6. What is the least common multiple of j(12) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37254\/53 or -702?\nAnswer: -702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325830995.\nAnswer: 5, 7, 23, 43, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28479, 56761, 85043?\n\"Answer: 28282*t + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136161049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2 - 18632*y = 0.\nAnswer: 0, 4658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*27\/(-17901)*(-91)\/(-14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from fzaffzfzzffaff.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 0 + 0 + 5*z + 2*z - 5*z - 1 + 1 + 2*z + (-4 + 2 + 0)*(3 - 3 + 2*z) + 5*z - 5*z - 2*z - z + 1 - 1 + (4 - 2 + 1)*(3*z - 5*z + 3*z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, b: 2, g: 2, e: 1, n: 1}. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7971162*o + 6268. Let a be f(-14). Round a to the nearest one million.\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m + 6*m**2 + 15*m)*(4*m**2 + 1 - 5*m**2 - 3 - 3*m) + (-4*m**3 + 0*m**3 + 3*m**3)*(-2*m + m + 3*m) - 2*m**4 + 4*m**4 - m**4.\nAnswer: -7*m**4 - 18*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 5*w**2 - 2*w**2)*(2*w - w**2 - 2*w) + 128*w**4 - 122*w**4 - 4*w**2 - 3*w**2.\nAnswer: 7*w**4 - 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114 + 278 + 105 + 292*j + 242 wrt j?\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53552, -107028, -160504?\n\"Answer: -53476*t - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404286888.\nAnswer: 2, 3, 16845287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487 - -1514 - (-1 - 12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.3085 - 1.6915. Which is the third smallest value? (a) 0 (b) -1.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 49\/11 (b) -1 (c) 2\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836553613 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*q - 37628, -4*u = -q - u + 7516. Calculate the remainder when q is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - -2*sqrt(66)) + sqrt(66))*6*-6*-5)\/(sqrt(54) + sqrt(864) - 1*sqrt(6)*-6).\nAnswer: 300*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 + 13. Let d(a) = -46*a + 6. Let x be d(-2). What is the greatest common divisor of x and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - 8*w - 23*w)*(2 - 2 - 1)*(-w - 2 + 2).\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*(8\/6)\/(56\/(-132))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 8. Let c be f(7). Does c = 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -5, -2\/9, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(sqrt(12) + sqrt(120)\/sqrt(10)))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870146 divided by 3?\nAnswer: 2870146\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*u + 21 - 151, -4*u = -f - 138. Suppose 12 = 2*x - u. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 39*k + 174. Let x be s(-5). Which is the nearest to 0.1? (a) -9 (b) -6\/5 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 0, 5*f + 1358 - 307 = 3*z. Suppose w - z = 101. What are the prime factors of w?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107320809?\nAnswer: 3, 35773603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/367728 and 13\/532032.\nAnswer: 25005504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32384, -64882, -97380, -129878, -162376?\nAnswer: -194874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309.72 + -5.72. Let i = s - 305. What is the nearest to 0.2 in -9, 0, 1\/8, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3765003? (a) -3\/5 (b) -1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321.1 - -31.1. Let h = 289 + q. What is the closest to h in 2\/23, 0, -3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o - 25. Let l be f(6). Suppose -2*u = -l - 13. What is the remainder when 31 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4 = 4*f, 0 = -q - 0*f + 5*f + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/464 and 33\/23200?\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301542*h*o**2 - o**2 - 69*o + 4502 wrt h?\nAnswer: -301542*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4142*l**5 + 4540*l**4 + 952373*l**2 + 1.\nAnswer: -248520*l**2 + 108960*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18504.47 + 93.\nAnswer: 18597.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -15.6.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13158, 13160, 13162, 13164?\nAnswer: 13166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose -2*z = -4*z, k + z - h = 0. Suppose -5*d - 22 = -s, 0 = k*d + 9 + 3. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 2*u**2 - 46 + 14.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 3*v, -4*h - 5*v + 3 = -1. Let d be h\/(-2) + 21\/28. Determine c, given that -d*c**2 + 3\/2*c - 9\/4 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + 45435013?\nAnswer: 45435113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2119 or -2069?\nAnswer: -2069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -10609?\nAnswer: -10614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429645982 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 6, c: 11}. What is prob of picking 1 o and 3 x?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 22*a + 260. Let d be v(-10). Let x(y) = y**3 - 9*y**2 + 4*y + 4. Let w be x(9). What is the greatest common divisor of d and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2570 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219085 (base 10) to base 8.\nAnswer: 653715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001097 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 5\/(975\/(-155)). Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:51 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p\/(p\/p**(-1\/4))*p*(p*(p\/(p*p\/((p\/(p*p**5*p))\/p))*p)\/p)\/p*p*p\/p**(-1\/4))\/((p*(p\/p**(1\/2))\/p*p)**(8\/5))**(-5\/9) assuming p is positive.\nAnswer: p**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by (26\/39)\/(160\/78 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -392, -4, -2, 0 in decreasing order.\nAnswer: 0, -2, -4, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-63) + 129\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-1\/4))\/o)\/(o*o**(-8)*o)*(o**(2\/9)\/o*o*o)\/o*o*o\/(o\/(o*o**(-5))) assuming o is positive.\nAnswer: o**(197\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11510*d*o**2*u**2 - 1130*d*o*u**2 - 2*d*o wrt o?\nAnswer: 23020*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*z - 31, 4*l - 2*z - 3 = -7. Solve -5*p = -l*a - 5, 4*p - 2*p + 7 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/32594454 and 103\/10.\nAnswer: 162972270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.3259825 nanoseconds to weeks.\nAnswer: 0.00000000000022706015625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and (-44)\/(-11) + (1 - 2)\/((-16)\/544)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(13\/((-2704)\/32))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Suppose 0 = k - c*k + 14. Let z(a) = -a**2 + 6*a + 7. Let s be z(k). Solve s*t + 2 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4104 and -43\/288.\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27a49 (base 11) to base 16.\nAnswer: -9bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/(-6)*-3 - 0. What is the highest common factor of q and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 130*b**4 - 695*b**3 + 2090*b**2 + 700*b - 1960 = 0 for b.\nAnswer: -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/143 < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 7, -52, 5 in increasing order.\nAnswer: -52, -9, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16124, -16122, -16118, -16112, -16104, -16094?\n\"Answer: h**2 - h - 16124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 66, 65?\n\"Answer: -s + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1291474, 2582934, 3874394?\nAnswer: 5165854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-10))\/((-2)\/10). Let y = -10 - -24. Let c(h) = -h + 17. Let v be c(y). Is v < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*q - 32, -h + q = -3*h + 34. Let c be (-4)\/(-18) + 158\/h. Let i(u) = -9 + c + 3*u. Let z(y) = 2*y**2. What is z(i(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (2 + 0))\/(588\/63). Let u be (-3)\/2 - 68\/(-56). Sort u, p, -1\/4.\nAnswer: u, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(78)*1)\/(2*sqrt(12)\/sqrt(2) - -4*sqrt(6)*-3)*-4)**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2241510 and 3330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 3. Determine v(-12).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - 1*(sqrt(360)*3 + sqrt(360)) - sqrt(360))\/(sqrt(8)*2*4))**2*-4*3.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*k**2 + 53*k**2 + 111*k**2.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m + 95. Let q be l(9). Let k = q + -164. Solve 0 = -4*j - k - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(171)*2)\/(sqrt(144) + (sqrt(144) + -3*sqrt(144) - sqrt(144))) + -4.\nAnswer: -5 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 15. Let k(q) = -9*q - 22. Let a(r) = -5*k(r) - 7*s(r). Let b(v) = v + 1. Suppose x + 0*x = 5. Calculate x*b(j) - a(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y - 1. Let h(b) = -5*b**2 + 2*b - 4. Suppose 2*f - 20 = -4*k, k + 0*k = 3*f - 2. Let m(j) = k*c(j) - h(j). Give m(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*i**6 + 52*i**6 + 772*i**2 - 705*i**2 wrt i.\nAnswer: 10200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249494782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 5. Let n be 0 + -2 - (0 - 8). Suppose -m + 9 - 1 = 0. Suppose 0 = -n*b + 3*b + w - m, w = b. Determine p(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*w + 77*w - 5*s + 140 = 0, 3*s = w - 35. Suppose -2*t + 2 = -0*t. Calculate the lowest common multiple of t and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 583828?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71, 602, 2037, 4826, 9419?\n\"Answer: 75*r**3 + 2*r**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4 - 165*z**3 - 321*z**2 - 159*z = 0. What is z?\nAnswer: -53, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 334834*h - 91. Is p(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 106. Let u(c) = 2485*c**2 + 2486*c**2 - 4969*c**2. What is u(w(r))?\nAnswer: 8*r**4 + 848*r**2 + 22472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 - 35*t**2 - 40*t - 7. Determine h(-4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-57)\/(-380))\/(44\/10 - 2). Which is greater: -0.22 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from iiuuuiiiiiiiiqqk.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1402342\/3 + 463065. Let z = -4437 - l. Let r = -55 - z. Sort -4, -0.1, r in decreasing order.\nAnswer: -0.1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z**3 + 3*z**2 - 10*z + 9755. Let w(o) = -25*o**3 + 7*o**2 - 26*o + 24388. Let j(p) = -17*l(p) + 7*w(p). Differentiate j(t) with respect to t.\nAnswer: -15*t**2 - 4*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1435*z - 921268. Calculate r(642).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18884, 18927, 19000, 19103, 19236, 19399, 19592?\n\"Answer: 15*z**2 - 2*z + 18871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - -13)*(-20156)\/(-12). Suppose c = 20*h - 12121. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87691578 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65523 is divided by 129.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 21 = -5*o + 299, -o + 2*v + 64 = 0. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0375 - 924\nAnswer: -924.0375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388715 is divided by 6472?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185.6 + -187. Let b = -3.4166648 + 4.81666424. Let u = b + s. What is u rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/5*-3 + (-218)\/(-36). Let f(s) be the first derivative of -k*s**4 - 4\/9*s**2 - 8 - 8\/27*s**3 + 0*s. What is v in f(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -3*d + 2*z, -33244*d - 15*z - 801 = -33247*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-15))\/(28\/84) - ((-4 - 1) + 13)\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2859250 to the nearest ten thousand.\nAnswer: 2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 11 - 5\/4*v**4 + 0*v**2 + 0*v + 20\/3*v**3. Find the third derivative of z(t) wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104.1 + -103.1. Let i = -0.07 + 0.47. Which is the third biggest value? (a) -4 (b) i (c) 5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 33 = 4*l, 3*w - 16 + 31 = 0. Let c = 45 + -1. Suppose l*p = f + 2*f - 28, p + c = 4*f. Solve -y + f = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.081, -10, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69701709835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:13 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + t + 0*t = -91, 4*t + 100 = 5*o. Suppose 4*k = 3*d - 18, 4*d - 3*k - o = -7*k. Find the second derivative of -5*a**5 - 7*a + d*a + 7*a wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30654 + 3?\nAnswer: 30657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 0.1. Let n = 18182 + -18185. Let z = -1 + 0. Which is the nearest to -1\/5? (a) n (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25 - 92*y - 7 - 139*y + 151*y**2 + 121*y - 9*y**3 = 0. Calculate y.\nAnswer: -2\/9, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 q, and 1 k when three letters picked without replacement from {q: 1, z: 2, k: 1, f: 1, y: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24654 is divided by 493.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 548620*s**3 - 487709.\nAnswer: 1645860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -206*k - 68. Let i(v) = 69*v + 23. Let d be 1184\/144 - (-4)\/(-18). Let s(c) = d*i(c) + 3*m(c). What is the first derivative of s(r) wrt r?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0992 + 0.2008. Let o = 1 + -2. Which is the second biggest value? (a) g (b) 0.23 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 + 3*j + 20. What are the prime factors of u(-5)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 22*w - 3. What is z(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - ((3 - (-2 + -2 + 13)) + 5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Let t(s) = -s**2 + 2. Suppose 16 = -3*w + 5*a, -w + a = 2*a. Let u(x) = w*t(x) + 4*l(x). Suppose u(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1126*f**3 - 527*f**3 - 543*f**3.\nAnswer: 56*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9420 - 4676. List the prime factors of d.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565*q + 87 = -1574*q - 48 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 - 18008 - 13*j**3 + 17996.\nAnswer: -13*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c. Let i(k) = 5*k**2 - 4*k. Let l(n) = -14*n**3 - n - 1. Let f be l(-1). Let w = -18 + f. Give w*z(b) + i(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2427 + 2432. Solve -d*o + o = -5*l - 23, -3*l + o - 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 - 132. Suppose l*i + y = 376, 0*i - i = y - 76. Calculate the highest common divisor of i and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/5 + 41*b**3\/5 + 4497*b**2\/5 + 74439*b\/5 + 69984\/5 = 0?\nAnswer: -27, -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m - 19855700 = -10160727 + 15243422. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -108795?\nAnswer: -54397.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -167, -252, -337, -422?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, -2\/9, 57, 1\/5, 3, 1\/2, 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15429\/8 + -1931. Calculate the common denominator of 103\/150 and h.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76)*1)\/(sqrt(144) + sqrt(144)*1 + sqrt(144)).\nAnswer: -5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -148.41. Let y = -0.43 + j. What is y rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3175295 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*b = 4, 5*r + 5*b - 8 = -3. Let v = r - 0. What is the units digit of (3\/15)\/v - (-528)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from gggbbgggbgqbg?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*d*f**5*g - d*f**3*g - 6*d*f**2 - 5*f**2*g - f**2 - g wrt f?\nAnswer: -4560*d*f**2*g - 6*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/38759968 and -51\/95680.\nAnswer: 387599680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65210?\nAnswer: 2, 5, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146 + -140 - (8 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 5:26 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -292.9 and 1667466.\nAnswer: 1667173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277a (base 11) to base 7.\nAnswer: -13325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1)*(-3*m + m + 4*m) + m**2 + m - m + (3 - m - 3)*(-4*m + 2*m + 4*m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - o**3 + 2*o**3 - o + (3*o - 3*o - o**2)*(o + 0*o + o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, -363, -6 in descending order.\nAnswer: -9\/4, -6, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68131323*u**2 - 129*u + 712664.\nAnswer: -136262646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27942?\nAnswer: 2, 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x = 7*x + 5115 - 5295 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 divided by -358?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 6*z**4 + 2*z**2 + 203*z**3 - 615*z**3 + 189*z**3 + 4 + 162*z**3 - 2 to d*z**2 + q*z**4 + k*z**3 + m*z + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 50. Let i be 736\/(-70) - (-4)\/(-14). Let r = -11 - i. Which is the nearest to r? (a) 0.2 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -46. Suppose -l - 13 = 2*h - 0*h, 4*l + h = -k. Let a = l - -16. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2\/37, -158?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = -2*f. Let q be 2\/(-2)*-2*1. Let w be f*(0 - (6 - q)). Solve 2*z - w = 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12294 and 1193201.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + 54. Let a be j(0). Suppose i - a = -5*y, y = 6*i - 2*i - 6. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 53 - 56. Let r = c + 10. Suppose -2*n + 5*v + 21 = -r, v - 10 = -2*n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -493 - -518. Let h(r) = -3*r**3 + 1. Let b be h(-1). Solve i + b*i + l = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m + 1. Let g = -2 - -4. Let f be (1 - 0)*5 + (-2 - g). Sort m, 0, f, -4 in increasing order.\nAnswer: -4, m, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:09 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156139075 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 3*s - 7. Let y be k(-5). Are y and -49 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y**2 - 3*y - 2. Let p(c) = -33*c**2 - 5*c - 4. Calculate -5*a(z) + 3*p(z).\nAnswer: -19*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 6. Suppose -2*l = -u*l + 200. What is the remainder when l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -5 + (13 - (-141)\/(-12))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from {q: 4, r: 6, s: 2, l: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b8 (base 12) in base 15?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6319 divided by 5\nAnswer: 6319\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1400 - 830. Is 114 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 - d**2 + 1 - 1)*(-648*d + 189*d + 246*d) to the form z*d**2 + q + p*d**3 + s*d and give p.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 0, 0.07, -24\/13, 2\/13, 2?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(192) + sqrt(192)*2))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:10 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*u - 6111 = 43*u - 511. Calculate the least common multiple of u and 4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239\/3 - 79. Let k = 42.7 - 44. Let q = 0.3 + k. Which is the second biggest value? (a) i (b) -4\/3 (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -27. Suppose 13*k = -t + h*k + 6616, -5 = 5*k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/66 + 225\/54. Solve -m*t = 11 - 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70.91 + 68.91. Let d = 28 + -27.71. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-99)\/264).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.7348 + -0.2652. Which is the second smallest value? (a) -16\/3 (b) -2 (c) g (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 4. Let m = -19 - -17. Let o be m*9\/6 + -2. Does 16 divide v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 184439*k**4 - 8504159518*k**3 - 25513585198*k**2 - 25513954081*k - 8504712841.\nAnswer: -(k - 92221)**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (39 - 1)*(-6)\/(-4) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -2627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -219*r + 439. Let k be g(2). Solve 0 = 7*o + k - 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:24 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7718 + -176.\nAnswer: -175.2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-4)\/6)\/1)\/((-3)\/54). Suppose -3*z + 5*z - v = 0. Suppose 219 - 57 = z*c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110 - -11?\nAnswer: -101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*-4*sqrt(91))\/(sqrt(175) - ((sqrt(175) - 3*sqrt(175)) + sqrt(175))).\nAnswer: -1 + 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/3*90\/210. Solve -4*y = -t*z - 4, z = -4*y - 3*z + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139397?\nAnswer: 139397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2.672, 2\/3, -0.1, -5?\nAnswer: -2.672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 139 + 39. Let u = -46 + z. Let l = 1 - u. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/57*6\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75.4 + 75. Which is the closest to -1? (a) 7\/4 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26197 - 26203. Let h(r) = -13*r**2 - 80*r - 3. Determine h(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 101. Suppose -3*m + g - 3 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f**4 + 135*f**3 - 132*f**2 - 4*f = 0.\nAnswer: -1\/34, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - 8. Let o = -37.96 - t. Which is the nearest to o? (a) -2 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/1290)\/((5\/(-2))\/((-25)\/12)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 1518865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 1:42 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -1235, -1883, -2583, -3341, -4163, -5055, -6023?\nAnswer: -7073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487834, 975672, 1463510, 1951348, 2439186?\nAnswer: 2927024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(7 + (-2198)\/315). Which is smaller: 14 or o?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1283\/(-118) - -11)*1*(-24)\/10. What is the closest to 0 in -0.01, 0.5, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -150*x - 291. Let l be w(-2). Let t = -11 + 15. Suppose 0 = t*a - l*a + 15. Solve a = -m - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82\/153 + -11\/17. Let c = -2.7 - -3. What is the nearest to 0 in c, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/583800534 and -29\/6.\nAnswer: 583800534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.2 + 15. Which is the closest to -0.1? (a) -11\/3 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2575, 2482, 2329, 2116?\n\"Answer: -30*y**2 - 3*y + 2608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 30969*k**2 + 36*k - 27. What are the prime factors of i(1)?\nAnswer: 2, 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1196 = 3*x + 188. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 11*i**2 + 11*i + 5. Let v be c(-12). Calculate the highest common divisor of v and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 866856*f**3 - 704942.\nAnswer: 2600568*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 0*w + 2 - 2\/3*w**3 + 0*w**2. Let k(z) = z**2. Determine k(x(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - m + 1. Let o be s(1). Suppose 2*y + 74 = o*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 1, -8*x = -7*x - 5*h - 35. Let k be (-4)\/18 + 104508\/81. What is the greatest common factor of x and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - t + 2, 0 = 3*t - 11 - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201555 (base 9) to base 14.\nAnswer: -31682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-7) + 24 + (4130\/(-231) - 0).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by -1.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 - 6*s + 5. Let n be k(-5). Calculate the greatest common factor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 6*j + 3*j)*(-2*j + 2*j + j) - 2*j**2 + 3*j**2 - 2*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130696 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 0.46.\nAnswer: 8.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1 - 0) + 1. Let w(r) = 2 - 2*r + 0*r + 4*r**2 - 1 + 0. Calculate w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-9 + (0 - -12 - (110 - 55)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.17, 1, -0.2, -97?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1416*a - 201960 = -4782*a for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -5*u**5 + 3*u**4\/2 - 92*u**3\/3 - 39. What is the third derivative of j(y) wrt y?\nAnswer: -600*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3529915 divided by -185785.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 4*n + 4*n + (-n + 1 - 1)*(0 - 1 - 1) - 2*n + 2*n + n + n + 5*n - 4*n - 2*n + 2*n + 6*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12447 greater than -12406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5)*3*-4 + -1 - 5*(sqrt(45)\/(sqrt(27)\/sqrt(3)) + sqrt(5))*2)**2.\nAnswer: -32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -2\/7 (c) 19 (d) 1\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(-16) + (69 - 64)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 1 - 1)*(-3 + 0 + 5) + 2*g + 0 + 0 + (44 + 1 + 16)*(0*g + g - 3*g) to the form w*g + h and give w.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*h + 515*h - 1136*h.\nAnswer: -78*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -107 + 5 + (140 - 86)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 170408 - 170340 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + h - 2. Let a be v(-2). What is the greatest common factor of 64 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/(22 - 3051\/135)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f = -10. Let k be (-2*(8 - 2))\/f. What is the second derivative of -k*m + m + 3*m + 5*m**2 wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*n**3\/2 - 252365*n**2\/2 + 100949*n\/2 - 10095\/2.\nAnswer: -(n + 10095)*(5*n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*((-27147418)\/(-42) + (-498)\/1162). What is q rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + t + 38, -3*t + 84 = 5*x. Is 19 a factor of ((-9)\/x)\/(2\/(-76))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306490861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2744 + 45?\nAnswer: 2789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6002 = 2*x - 234, 4*x = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18317721337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957, 928, 885, 822, 733, 612, 453, 250?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8765*u - 306781. Determine m(-35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {j: 14, x: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -536? (a) 4 (b) 2 (c) 0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4 + v + 7. Let i be h(1). Suppose -5 - i = -c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2. Let u(p) = -20*p - 2299 + 18*p + 2566. What is x(u(c))?\nAnswer: -8*c**2 + 2136*c - 142578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2 + 0) - -1. Suppose x = 5*q + 3*b - 41, -4*q - b + 36 = 3*b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) + 3\/(-4). Let h(f) = -7*f. What is the units digit of h(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gggggggggaggagaagga.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 5*h + 3. Suppose 0 = -3*l + 6, -j + l = -0*l. Let f be -4 + 4 - 1 - j. Determine s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -69628*q + 278155. Give j(4).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 17*t**3 - 2*t**4 + t - 8*t - 16*t**3 to the form r + i*t**4 + b*t + g*t**2 + u*t**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3 + 88*i**2 - 398*i + 312 = 0.\nAnswer: 1, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yymx when four letters picked without replacement from {r: 4, h: 1, y: 3, v: 4, x: 1, m: 5}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604 + 276*h**2 + 1453*h**2 + 604.\nAnswer: 1729*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3)*(-o + 0 + 0) + 125 + 39*o - 125 + (3 - 3 - o)*(1 - 4 + 1) as n + a*o and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*o - 56557, o = -11*p + 7*p + 75431. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwl when three letters picked without replacement from {a: 1, i: 6, l: 2, x: 4, w: 1, m: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3203*b + 3175*b - 6402*b - 5 + 7*b**2 in the form k + m*b**2 + s*b and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18))\/(85\/510).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12456.7*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 + -246.7. Let l = o + 12. What is the closest to -0.3 in l, 5, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5230 (base 6) to base 7\nAnswer: -3261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - 4*l**3 + 4*l**3 - 5*l**4 - 31*l**4 - 40*l**4 + (-5*l**2 + l**2 + 2*l**2)*(l**2 - 2 + 2).\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 40 = 4. Calculate the highest common factor of 198 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 6*g**2 + 3*g - 12. What is the least common multiple of 28 and b(-7)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.4416949 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d + 26*d + 3 + 8 + 20 to the form v + t*d and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1915? (a) 2\/13 (b) 255 (c) 1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8122, -2\/5, 47?\nAnswer: 8122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*2\/(9 - 3). Suppose -3*n + 4*g + 52 = 0, -28 = -d*n + g - 3*g. Calculate the lowest common multiple of n and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h. Let n(w) = -111*w**2 + w + 11. Calculate n(d(k)).\nAnswer: -7104*k**2 - 8*k + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 62 = -o, 2*u = -u + 3*o + 42. Let z(k) = k**3 - 15*k**2 - 13*k - 39. Let b be z(u). Suppose -1470 = -5*m - b*m. List the prime factors of m.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/42, -8, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79*m**3\/4 - 81*m**2\/4 + m\/2.\nAnswer: m*(m - 1)*(79*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 20896*f**2 + 83632*f + 83648.\nAnswer: -4*(f - 5228)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + (5 - (-1 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwl when three letters picked without replacement from {w: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 13*o - 40 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 1}. Give prob of picking 1 e and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**4\/3 + 20*l**3\/3 - 20*l**2 - 20*l\/3 + 56\/3 = 0?\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/10255 - 47179\/30765. Let b = t + 11\/5. What is the nearest to 0.1 in 4, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -6*y - 6 - 0. Put y, 4, 0, -2, -3 in descending order.\nAnswer: y, 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 8:45 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6247.243 to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18169.3 rounded to the nearest 10?\nAnswer: 18170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11858358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -39, -22, 11, 66?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1841 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 2)*(3*m + m - 5*m) + (2*m - 2*m - 9*m)*(-7 + 13 + 4).\nAnswer: -93*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 5. Let u = -33 - -39. Let p be j(u). Is -3 - p\/1 - -72 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 11*k - 3. Suppose -5*g = 5*s - 15, -5*s + g + 15 = -g. Let z(f) = -f**2. Let d(t) = s*z(t) + b(t). What is the units digit of d(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sghdsgllpsg. What is prob of sequence pg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 + 3*a**2 - 5*a + 0 + a. Let p(j) = j**2 - j - 20. Let f be p(-5). Let i(t) = t**3 - 10*t**2 - 2*t + 22. Let c be i(f). Give v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from mowmwymmyyyoommuywuy?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 16. Let h be s(7). Let u be h + 5 - 1*-3. Suppose -3*k + 11 = -2*i - 0*i, -2*k + 6 = 0. Is u less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4335993.104 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 808, 750, 650, 508, 324, 98, -170?\n\"Answer: -21*b**2 + 5*b + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z + 10. Suppose -6*q + 8*q = 0. Let k be i(q). Let t(h) = -h + 2. Determine t(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 2. Suppose 3*v + 4*a - 101 = 0, g - 4 = v - 3*a. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4 + 0*j**2 - 8*j**2 + 4*j - 4*j**2 + j**3 - 26. List the prime factors of p(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/3)*i*i*i*i*(i**(-1\/4)\/i)\/i*i assuming i is positive.\nAnswer: i**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26904677 or -26904672?\nAnswer: -26904677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5561, -11132, -16713, -22310, -27929, -33576, -39257, -44978?\nAnswer: -50745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 134500260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let a = 174 - 175. Put a, b, 12 in descending order.\nAnswer: 12, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-72)\/(4 - 1). Suppose y = -u + 24. Suppose 5*w - 47 = -u*i, -39 = -4*w - 2*i - i. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 4:05 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*b**2 + 41*b - 41*b)*(-b - b + 5*b)*(1 + 2 - 2) in the form f*b**3 + p*b**2 + n + d*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 6. Let z be (-2 + 1)*(-77)\/7. Let i(k) = 0 + 9 - z. Determine -2*a(u) + 7*i(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - 8*o**2 - 5. Let q(p) = -11*p**3 + 17*p**2 + 11. Let t be (-2)\/7 + (72060\/28)\/(-5). Let k be (t\/8)\/(-5) - 3\/(-24). What is k*b(d) + 6*q(d)?\nAnswer: -d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 y when three letters picked without replacement from doddiya.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = -3*f - 4, -4*f - 2 = 2*j. What is the remainder when 138 is divided by (4 - (j + -1)) + 66?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(72*y - 74*y - 1 - 1).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(102))\/sqrt(6).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255701 or 255744?\nAnswer: 255701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56631 by 24.\nAnswer: 18877\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*y**2 - 1000*y**2 - 356*y**2.\nAnswer: -1182*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 356*b + 26. Let k be o(5). Let j be ((-4)\/12)\/(1*1\/(-12)). What is the second derivative of -1806*i**3 - 30*i - i**j + k*i**3 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, d: 3, j: 1, b: 1, t: 2}. Give prob of picking 1 v and 1 t.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 20*w + 84 = 0. Suppose -w*d + 121 = -467. What is the greatest common factor of 28 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)\/(1*sqrt(648) + sqrt(8) - sqrt(8)))\/(sqrt(1008)*2*6))**2.\nAnswer: 7\/1679616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 1510355?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/2))\/(n\/n**(-6)))**(1\/52)\/((n\/((n**(1\/5)\/n)\/n))\/n**(-2))**(4\/7) assuming n is positive.\nAnswer: n**(-10299\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*d**3 + 187 - 187 + (2*d**2 + d + 27*d**2 + 2*d**2)*(-3*d + 5*d - 3*d) in the form o*d + a*d**3 + f + z*d**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 141\/2, 1\/4, -0.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.201 from 923169760.\nAnswer: 923169760.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8224000 to the nearest 100000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -164, -163, -158, -149, -136, -119?\n\"Answer: 2*u**2 - 5*u - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 601*k + 596*k - 1197*k + 6.\nAnswer: -5*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - w**2 - 42 - 114*w**3 - 15*w**3.\nAnswer: -129*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1447 - 1510 - (-46 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 11*s - 223. Let o(w) = -3*w**2 - 22*w + 441. Let j(i) = -4*o(i) - 9*u(i). What is the units digit of j(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.946 and -7.\nAnswer: -13.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, j: 7}. Give prob of sequence zjzj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - 2*z**2 - z**3 + 5*z**3 + 3*z**2. Let g be t(0). Which is smaller: g or -2\/199?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1960 and 2088380.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 13233060.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 - -16?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128486640.\nAnswer: 2, 3, 5, 535361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 6*x**2 - x - 3. Let g be k(-6). Suppose -3*s = 2*a - 16, g*s - 16 = 2*a + 4. Suppose -120 = -s*u - 0*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 24 = 2*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 47*b**2 - 7*b - 68. What is r(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-28)*g)*(g*g**(-4\/7)*g)\/g assuming g is positive.\nAnswer: g**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(8\/3) + (-3745)\/10. Let d be (2\/(-8))\/(47\/m). Solve -15 = 3*q - 3*p, 12 = -d*q + 4*p - p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14620491 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 22*h**2 + 19*h + 46. Let m be n(21). Solve 1 - m = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38*(5 - 20\/5). Let k = a - 33. Solve -3*c + 5*n = 13 + 13, 0 = -3*c - k*n + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f - 2. Let t be v(2). Let z be 66\/(-4)*4\/t. Let w be ((-33)\/330)\/(-3 - (-116)\/40). What is the highest common factor of z and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -73, -77, -79, -79, -77, -73?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*392\/2499.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -241*d - 174. What is c(-1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/8)\/((-8)\/128). Suppose -1 + w = r. Suppose -3*t - 10 = s - 148, 4*t - r*s - 184 = 0. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.4, -2\/13, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141984 - -87991. Let q be 0\/((-1)\/(-1)) - i. Let y = -78993 + q. What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + n - 2*n + 3012, 6022 = 4*z + 3*n. Let f = 2273 - z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/18)\/(2\/12*4). Let h = -7.3 - -7. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/50 - (-364)\/(-10). Let u be (-3)\/n*4*(-18)\/12. Which is the closest to -2\/9? (a) -2 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 7*i - 3. Let h be a(-5). Suppose 3*o + o - 8 = 0. Suppose o*w - 23 + h = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5 - n + 4 + 1. Let h(g) = g. Suppose 2*a = -0*a + 60. Suppose 0 = 4*o + o + a. Give o*p(d) - 7*h(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*m - 19, m + 2 = 3*m - 2*q. Let r(i) = -i + 11. Let u be r(m). Let c(v) be the first derivative of v**2\/2 + v + 1. What is c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -614*p**2 + 302*p**2 + p + 301*p**2. Calculate f(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, -1.9.\nAnswer: -5, -1.9, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - z**2 + z - 2. Let s(h) = 3*h**3 + 21*h**2 + 5*h - 9. Determine -s(d) + 2*w(d).\nAnswer: d**3 - 23*d**2 - 3*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5165b (base 12) to base 2.\nAnswer: 11001111101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 32. Suppose -p*y - 6 = -6*y. Sort 0, y, 4 in increasing order.\nAnswer: y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194848 and 72?\nAnswer: 1753632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33268904 - -50931067. Suppose 5*k = 2*i + 50910128, -2*k = -i - 7792899 - h. Let g = 8155054 + i. What is g rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 2*u**2 + 4 - 1 - 4. Let h be p(-1). Find the third derivative of -3*k**2 + 2 - 3*k**4 + 1 - h wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 13513 - 2257. Suppose -5*w + z - 3996 = 0. Round w to the nearest 10.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 888 - 859 - (-1 + 25) - (-5 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/3 - 40*r**2 + 5*r. Let o(t) = 4*t**2. Calculate o(f(i)).\nAnswer: 1600*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2310205 and -3.\nAnswer: 6930615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -0.11. Let n = d + -0.02004. Round n to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3319*h**3 + 2 - 2 - 1685*h**3 - 1636*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkiiaiitniniiiinn. What is prob of sequence nit?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 1. Let g(z) = -c*z + 0*z + 3 + 5*z. Let v = 37 + -33. Calculate g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -21 in increasing order.\nAnswer: -21, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/175*-7*(-10)\/26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/3)\/30)\/((-2)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11749 by 4.\nAnswer: 11749\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -483, -477, -469, -459?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3 = -2*o - 0, 0 = o + 5*f - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/((-260)\/(-52)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3518 - -3524. Solve -i*x = 3*c - 2*x + 24, 4*x = -12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*o - 5808 = -3204 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 21?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 27*u**2 + 171*u - 486. Determine n(-8).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 385980388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -10 + -4 - (-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of (12 - -3137 - -14) + -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 31876*p + 63753. What is z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(1\/4). Suppose 10*a - 5*a = 0. What is the second derivative of a*f + 0*f**2 - f**p + f wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 = 2*r + 9, 4*r + 15 = -t. Let j be 1\/(-5 - r) - -4. Suppose o - 76 = -5*b, j*o = b - 2*o - 36. What is the highest common divisor of 176 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21423, 86675, 195409, 347625, 543323, 782503, 1065165?\n\"Answer: 21741*r**2 + 29*r - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/7 - 2484*w**3\/7 - 1385282*w**2\/7 + 397212*w = 0. What is w?\nAnswer: -419, 0, 2, 1659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 25 = -11*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27149\/25409253 + 2\/28907. Let g = v - -2632\/4395. Let w = -259 - -1291\/5. Which is the closest to w? (a) g (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 10*x**3 + 19*x**2 + 17*x + 11. Let c(j) = -3*j**3 - 7*j**2 - 6*j - 4. Let b(w) = 17*c(w) + 6*k(w). Find the third derivative of b(y) wrt y.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785987574 divided by 3?\nAnswer: 261995858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -3, 1, 3\/14, -174?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 + 128.2. What is the nearest to 1 in 4, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431700 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**4 + 8*c**3 - 4*c**2 + 2*c - 3. Let g be 48\/18*(-6)\/4. Let p(y) = 7*y**4 - 8*y**3 + 3*y**2 - 2*y + 4. Let l(v) = g*n(v) - 3*p(v). Factor l(q).\nAnswer: q*(q - 1)**2*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -363.281?\nAnswer: -72.6562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -77\/12*d**2 - 1\/24*d**4 + 80 + 49\/3*d + 8\/9*d**3. What is p in g(p) = 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 2, 5289.9, -0.03?\nAnswer: 5289.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {y: 1, j: 2, g: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 - 84946*d**2\/3 + 10510240*d\/3 - 325579112\/3.\nAnswer: 2*(d - 42349)*(d - 62)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x, -j - 2*j - x = 0. Sort -4, -5, j, -3.\nAnswer: -5, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + u - 0*u + 85, -3*c = 3*u - 141. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1747 + -1645. Calculate the highest common factor of f and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 1 - 2*q**2)*(-3 + 2 + 0)*(4*q**2 - 4*q**2 + q**2) to b + u*q**2 + w*q + m*q**3 + a*q**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/80 - 110\/(-400).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.058868+0.1\nAnswer: 0.041132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -6.75. What is g rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2\/3, 1259724, 0.4 in decreasing order.\nAnswer: 1259724, 2\/3, 0.4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n + 65*n = 15. Suppose 426 = 4*c - 2*d, 0 = -n*c + 9*c - d - 429. Calculate the greatest common divisor of 162 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -31*z**2. Let j(a) = 479*a - 1. Give j(w(f)).\nAnswer: -14849*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**7\/210 + k**6\/72 + k**5\/120 + k**3\/3 - 6*k. Let z(t) be the second derivative of d(t). Find c, given that z(c) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w - w**3 + w - 5 - 13*w**2 + 6*w**2. Let z be a(-8). Suppose 6 - 4 = y. Solve h - y*h = 2*x - 3, x - z*h + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Let a(l) = 396*l. Determine a(q(r)).\nAnswer: 1188*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-160)\/224*1\/(-5). Sort n, 20, 0 in ascending order.\nAnswer: 0, n, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 * -0.02\nAnswer: 3.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73\/3 - -25. Let z = -762 + 794.9. Let n = 33 - z. What is the nearest to -1 in n, f, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t = -106*t + 51*t + 3*n - 41, t - 10*n = -125 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j - 81 = 0. Suppose 5*f - 33 = -4*p, -5*f + 0*p - p + j = 0. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1201, 1198, 1193, 1186, 1177, 1166, 1153?\n\"Answer: -i**2 + 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 10. Suppose -15*n + 23 + 202 = 0. Calculate the remainder when f is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5546, -5434, -5322, -5210, -5098, -4986?\n\"Answer: 112*y - 5658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 - b - 3. Let x be f(-5). What is the common denominator of x\/(-20)*1\/3 and -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 25. Let p = -10 - -8. Let z be (6\/4 - 2)*p. Sort x, -4, z in descending order.\nAnswer: x, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7195 + -5131. What are the prime factors of o?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + -6*sqrt(833).\nAnswer: -42*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxinb. What is prob of picking 1 x, 1 n, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 418*p = 420*p + 13, 41 = 4*g - 5*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)*v\/(v\/v**(-8\/9)) assuming v is positive.\nAnswer: v**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57726976, -57726952, -57726906, -57726832, -57726724?\n\"Answer: b**3 + 5*b**2 + 2*b - 57726984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Suppose x*y = -13 + 11. Let m(j) = -13*j. What is m(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/((sqrt(3) + sqrt(27))*4))\/(sqrt(810) - ((sqrt(810) - sqrt(810)*-1*2) + sqrt(810))).\nAnswer: -sqrt(2)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3883 - 6 - 4\/(-3 - -1). Suppose 2511 = 5*y - m. List the prime factors of y.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 21*d**2 - d - 1018. Determine t(23).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -127, -195, -263, -331, -399?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16572 and 32.\nAnswer: 132576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 71.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 108355838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*u + 197, -48*u + 51*u - 31 + 232 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 7, -34, -91, -164?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 14. Let r = 5 + c. Let n(m) = -m**3 - 10*m**2 - 11*m - 10. Calculate the least common multiple of n(r) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 2*b**6\/3 + 128*b**5\/5 - 103*b**4 + 280*b**3\/3 + 2789. Determine i so that j(i) = 0.\nAnswer: -35, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 e when three letters picked without replacement from {o: 2, e: 8, h: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 3*u**2 + 5*u - 3. Let g be v(4). Calculate the smallest common multiple of -1 + 2 - (-2 + -5) and 4\/6*21\/g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from qqvcqcvveuxcx?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/5 + 24*z**4\/5 + 166*z**3\/5 + 264*z**2\/5 + 121*z\/5.\nAnswer: z*(z + 1)**2*(z + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 71 - 33 = -34. Solve 14*c + q = 17*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/2 + 3147*g**4 + 262701*g**3\/2 + 365742*g**2 = 0.\nAnswer: -6252, -39, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1478455.94 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2934, 500.\nAnswer: -4, 500, 2934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 663 and 144759?\nAnswer: 31991739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*a**3*j**2 - a*j**3 - 4*j**3 + 6*j wrt a.\nAnswer: -363*a**2*j**2 - j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-2\/3)\/u)*u*u*u**(2\/5) assuming u is positive.\nAnswer: u**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -11202?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -19 - 4*y + 3*y + 12. What is m(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468 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: In base 11, what is a3 - -4?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*o*x - 20346*o - 95888*x + 6 with respect to x.\nAnswer: 7*o - 95888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-32)\/28 + 2)\/((-4)\/(-672))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 4, z: 4, c: 9}. Give prob of sequence oq.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 613 + -32. Let x = 950 - p. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - 1937 + 5814 - 1934 - 1943.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 9\/4. Let h be w*((-2)\/13 + 1935\/(-13)). Let t = h + 504. List the prime factors of t.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-2)\/(-2)*2\/44.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/520*(-10)\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1857939 and 41\/3.\nAnswer: 1857939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/5)*o)\/(o*o\/(o*o*o\/(o\/o**(-18)))*o))\/((o\/o**(1\/10))\/o*o**30) assuming o is positive.\nAnswer: o**(-471\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -21, -85, -215, -435, -769, -1241, -1875?\nAnswer: -2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (2 - 4) - -19 - (3 - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*d + 3*q, 20 = -42*d + 40*d + 4*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*k = -4, k + 7 = -3*v - 9. Suppose d + 3*l - 6 + 7 = 0, 4*d - 4*l - 44 = 0. Put d, v, -0.4 in descending order.\nAnswer: d, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:09 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4\/16)\/((-68)\/(-16) + -6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 64, 107, 186, 313?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:15 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 276, -4, -11, 28, 4 in decreasing order.\nAnswer: 276, 28, 9, 4, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**2 - 3*u + u + 0*u - 4 - u**3 - 6. Let v be l(-8). Find x such that 8*x**3 + 4*x - v*x**5 - 2*x - 4*x**2 - 4*x + 4*x**4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -26. Suppose 26*x - b*x = -19. What is the highest common divisor of 57 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -79928*p + 1039061. What is m(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.129 (b) 4 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 14925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21202 - 10442?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 90, 609, 2054, 4911, 9666?\n\"Answer: 81*f**3 - 23*f**2 + 21*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 263379*s**2 - 32434*s + 1 wrt s.\nAnswer: 526758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*l = 2*h + 526*l + 4, -3*h + 3*l - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 5*o**4\/2 + o**3 - 56. Let w(y) = -130*y**3 - 40*y**2. Determine 40*l(d) + 3*w(d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3 - 1\/1. Sort j, 5, -3.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 45 + 44 - 8*q**2 + 30*q**2 + 44 - 134. Let l(h) = -21*h**2 + 2. Give 3*k(p) + 2*l(p).\nAnswer: 24*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -139524 and -0.09?\nAnswer: 12557.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 442961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from neppwnmpwwppnwpww.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, -0.01, -5 in decreasing order.\nAnswer: -0.01, -4\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22139.9967 and -155.458.\nAnswer: 21984.5387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.245 + 0.245. Let t = -1.007 + 0.007. Let f = 0.4 - 0.3. Which is the closest to 1? (a) f (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*h = -1 - 3, -5*i = 3*h - 10. Suppose 2*a - 4*a = -i. Solve 3*o + 15 = k, 2*o + 7 = -a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12 + 41\/(-24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**5 + 14*t**4 + 14*t**3 + 8*t**2 + 5*t - 5. Let q(b) = b**4 + b**3 + b**2 + b - 1. Let v(u) = a(u) - 5*q(u). Let v(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18.692715 months?\nAnswer: 0.00155772625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**4*v - 1179*b**4 + 3*b**3*v + 3*b**3 + 74006*b**2*v - 3*b**2 - v - 1 wrt b.\nAnswer: 240*b*v - 28296*b + 18*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**2 - 2*s**2 + 10*s**2 + 535 + 381 - s**3. What are the prime factors of i(0)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1680, -294, -2236, -4146, -6024?\n\"Answer: 16*z**2 - 2022*z + 3686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7 + 17*x - 9*x - x**2 + 3*x. List the prime factors of l(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.325716*3.87.\nAnswer: -1.26052092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/150 and 37\/180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 4*o**2 + 3*o**2 - 165 - 7 - 5 to g + n*o**2 + y*o and give g.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + j + 1. Let y be q(2). Sort y, 2, -1, 3 in descending order.\nAnswer: 3, 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -361\/2953308 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 208964 or 15254450\/73?\nAnswer: 15254450\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -73 - 17. Suppose 0 = -2*q + 37 + x. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 35 = -5*y, 2*m + y - 2*y = 14. Let s = m - 2. Let h be (3 - (-20)\/(-12))\/2. Which is the closest to h? (a) -2\/9 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1664\/92 + 147\/161 + -1. Suppose -13*s + u + 34 = 0. Solve 6*p = s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3060*n + 134618. Give z(44).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21\/26 + 3\/2. Let o = -47\/26 - y. Suppose 7*f - 2*f = 15. Which is the third biggest value? (a) f (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -230619.\nAnswer: 8\/230619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from {o: 1, k: 1, p: 3, v: 1, x: 5, w: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r*r\/r**28)))\/r**27*r\/(r**(1\/29)*r)*r*r**(-2) assuming r is positive.\nAnswer: r**(-1596\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -30*v**2 + 3481*v - 852. Determine f(116).\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**2 - 15*q - 6. Let r(z) = -z**2 - z - 1. Let t(n) = -g(n) + 9*r(n). Find y such that t(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(48576\/230)*(-2)\/(-5))\/(7\/(-4))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38921 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/30 - d**4\/8 + d**3\/3 - d**2 - 6*d + 11. Suppose -o = -1 - 3. What is j(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3 - 17. What is the greatest common divisor of 140 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3718?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 113 - 108 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3632\/3 + 4\/3*c**2 - 3628\/3*c = 0. Calculate c.\nAnswer: -1, 908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-185)\/((-21645)\/(-234)))\/(14\/(-8))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 122\/381, 3\/7, -9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 269200*p - 1076880.\nAnswer: 5*(p - 53844)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3722231480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*j = -26, 11 - 3 = 2*j. Suppose -i + 7 = q*i + 4*p, 4*i - 8 = -4*p. Suppose 0 = -5*g + 6 + 9. Sort g, i, 2\/5.\nAnswer: 2\/5, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*p - 2588 = -73*p + 203*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16388 = 16248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*5*(-3 + (-4 + (sqrt(1700) - sqrt(1700)*-2) - (sqrt(1700)*-2 + 1))*-1*2)**2.\nAnswer: -4251225 + 35000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**6\/2 - 282*i**5 - 9*i**4\/2 + 2828*i**3 - 11289*i**2\/2 + 4230*i - 7532. Factor l(h).\nAnswer: 3*(h - 470)*(h - 1)**3*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 9*v - 293 - 71 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22838356 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 6, x: 1, f: 6, r: 6}. Give prob of picking 1 f, 1 o, and 1 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 * 3.9.\nAnswer: -374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Let w(t) = -t**3 + 3*t**2 - 3*t + 5. Let g be w(2). What is the nearest to 0 in -2\/9, b, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 7*l**3 + 5*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86287\/368853 - 1\/3323. What is the common denominator of k and 430\/25*3\/18?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4918356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800772 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/6, -4, -2\/5, 6.4 in decreasing order.\nAnswer: 6.4, -2\/5, -11\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l - 5. Let v(i) = 13*i + 6. Let h(n) = 5*a(n) + 4*v(n). Let p be 0\/(-2) + (-4)\/24*-6. Let g(u) = -8*u + 4. Let q be g(p). Calculate h(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7 - 87*y**2 + 34 - 5 - 12*y + y + 86*y**2. Give d(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3800447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 2368\/15. Which is the closest to 0.1? (a) -2 (b) 1\/6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1130 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:41 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:57 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 2.6. Let x = -54390.00005 + 54388. Let p = x - l. What is p rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2\/19, -2, 3\/4.\nAnswer: -23, -2, -2\/19, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*s = 64*s + 33. Let y(h) = 6*h - 3. Let o be y(-4). Sort 0, o, s in descending order.\nAnswer: s, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154642772*k**4 + 295609178*k**2?\nAnswer: 3711426528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, x: 1, m: 4}. Give prob of picking 1 x and 2 s.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 2. Let r be h(7). Suppose -r = c, -3*c = 3*i + 2*i - 150. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 6. Suppose 9*w - 105 - 48 = 0. Let y be 6\/3 + 3 + 1. Let a(b) = -b**2 + 9*b + 17. Let t(s) = w*m(s) + y*a(s). Factor t(f).\nAnswer: -3*f*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 186.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5665 + 17092 + 158 + 1616 + 21131)*(2*j**4 + 2*j**5 - 2*j**4).\nAnswer: 68664*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -50.999951. What is d rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**3 - 3*n + 2. Let x be y(1). Let k = x + -9. Solve 3*c + c = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6462 (base 8) to base 11.\nAnswer: 25a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -192, -377, -632, -963, -1376, -1877, -2472?\n\"Answer: -f**3 - 26*f**2 - 36*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -32*u**2 + 119*u + 119. Calculate w(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfa when three letters picked without replacement from xisfsxxxxxsxixfaixx?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -2\/9, 5, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3 = -13. Let y = 2978 + -2989. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194757124 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:27 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.63 + -0.33. Let z = -16 + h. Let y = 0.5 - z. Round y to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43515 and 448.09.\nAnswer: -43066.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(2*sqrt(11))**2*-5 + -3*4*sqrt(55)\/sqrt(5).\nAnswer: -12*sqrt(11) + 1315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241500?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/((j**(2\/3)*j)\/j))*j)\/(j*j**27))\/(j**16\/(j\/(j*j\/((j*j*j**19)\/j)))) assuming j is positive.\nAnswer: j**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-3))\/((-10)\/180). Let f = t + -46. Find the third derivative of -15*m**2 + 12*m**5 - 14*m**f - 3*m**2 + 18*m**5 wrt m.\nAnswer: 1800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 72 = 5*y - 4*h, -2*y + 12 = -3*h. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.5 in 2\/3, 0.6, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1422*z - 1329. Give v(1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (-3*sqrt(1900) + sqrt(19) + 3 + -3 + sqrt(19) - (0 + sqrt(76) + (sqrt(684))**2*2)).\nAnswer: -1376 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s + 0 - 4 + 2*s. Let k be p(-3). Suppose -3*a + k = a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/3 - 34*k**3\/3 + 16*k**2 + 168*k.\nAnswer: 2*k*(k - 14)*(k - 6)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:26 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047390\/210 + (-2)\/(-7)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -828 - -868. Suppose 0 = -5*k + 2*x - 5*x + 94, 3*k = 4*x + 68. What is the remainder when o is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-1701)*63\/42*(1330\/50)\/19?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*u + 0*u + 6*u + 10 wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20266?\nAnswer: 2, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47210156 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -35204\/90943?\nAnswer: -35204\/90943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(-7)\/d)*d))\/(d*d\/(((d\/(d\/(d**(2\/13)*d)))\/d)\/d))*((((d*d**(1\/3))\/d*d)\/d)\/d)**(-1\/37) assuming d is positive.\nAnswer: d**(-17068\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let h(t) = 7*t + 23. Let p(d) = h(d) + 6*y(d). List the prime factors of p(-17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 303 and 270522?\nAnswer: 27322722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122781 is divided by 24554?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 12\/(-8)*-2. Suppose l*z - 4 + 2 = 0. Is z\/2*534 - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2086, -13, 25, 1, 3, 9 in descending order.\nAnswer: 25, 9, 3, 1, -13, -2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 3*d**3\/2 - 9*d**2 - 2774*d. Determine r(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25b96 - 1?\nAnswer: 25b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43 + 1101*g**2 - 43 + 1133*g**5 + 1745*g**5 - 391*g**2 wrt g?\nAnswer: 172680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2\/7, 0, 14, -5446?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0517 - -1.0517. Sort 22, -5\/2, u in decreasing order.\nAnswer: 22, u, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(-2 - 1 + 6)*(-5*b + 3*b + 3*b + (0 + 0 + 2*b)*(-4 + 4 - 1) + 1 - 1 - 2*b - 479*b + 3077 - 3077) to the form s*b + u and give s.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3584405 divided by -6\nAnswer: -3584405\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -778 - -831.9. Let i = j + -54. Which is the biggest value? (a) -4 (b) i (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 3*t + 7*t - 3*t**2 + 5*t.\nAnswer: -6*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -396*y**3 + 1 + 400*y**3 - 15*y**5 + 16*y**5 + 182*y**2 - y**5 + 0*y**5 + 0*y**5 + (2*y**2 + 2*y**3 - 2*y**2)*(2*y**2 - 4 + 4).\nAnswer: 4*y**5 + 4*y**3 + 182*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaoo when four letters picked without replacement from {l: 3, a: 1, h: 1, g: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -532034416 + -3?\nAnswer: -532034422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1803 <= -1803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59540 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -5*j**7\/42 + 2*j**6\/3 - j**5 - 5*j**4\/6 + 25*j**3\/6 - 5*j**2 - 2*j. Factor a(d).\nAnswer: -5*(d - 2)*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12275 less than -49?\nAnswer: -12324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:20 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*n + 1 + (1 - 3 + 0)*(-4*n + 2*n + 0*n) + n + 2*n - n + 3*n + 2*n - 6*n - 10*n + n - 2*n - 8 + 3*n - 3*n + 2*n.\nAnswer: -2*n - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27 = -1. Suppose 5*l - a = -5*z + 3, -6 = l - 3*z. Solve -2*d - 3*c + 9 = 0, 0*d - d - 3*c + 12 = l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 3\/2, 8230, 10, -1 in decreasing order.\nAnswer: 8230, 10, 3\/2, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1257 and 4413.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8530, 34107, 76736, 136417, 213150?\n\"Answer: 8526*q**2 - q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 1, s: 1, x: 1, h: 2}. What is prob of sequence yx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 208 - 2*m**2 - m**3 + 0*m**4 + 4*m**4 - 206 + 2*m to the form u*m + r*m**4 + x*m**3 + f*m**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - ((sqrt(1008) + 3)*-4 - sqrt(1008) - sqrt(1008)))*1 + 5)*-4*-5.\nAnswer: 340 + 1680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/7 - 2\/7. Suppose 5*r - 6 = 2*x, 5*r - 14 = -4. Solve 5*d - 4*w = -x, -2*d - 6 = d - v*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*d - 152 = 4*q, 3*q - 4*d = -100. Let s = q + 22253. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 50 = -m. List the prime factors of (4\/10)\/(1\/m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 1071 + 3631. Does 48 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -93, -159, -227, -297, -369?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186651 is divided by 1126?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316677.\nAnswer: 3, 283, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 12*t - 147 = 0. Let d = -165 + 165. Solve 2*w - 17 + t = d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*z**2 - 21*z**2 - 75*z**2 in the form v*z + j + m*z**2 and give m.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 3032?\nAnswer: -3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:51 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*-2*sqrt(133)*-3)\/(-6*(sqrt(7) - -1*sqrt(847))*-2).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 0.02378.\nAnswer: 0.40426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -32*d - 1. Let n(h) = 66*h + 2. Determine -7*f(a) - 3*n(a).\nAnswer: 26*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2356*h**3*j**2 + 18341*h**2*j**3 - 16486*h*j**3 + 4*h*j**2 - 4*h*j - 4*h - 4*j**3 - 2*j**2 wrt h.\nAnswer: 14136*h*j**2 + 36682*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1473609 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a. Let g(b) = -932*b - 2. Determine x(g(j)).\nAnswer: 2796*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 - 6*w - 15. Let s be (-56)\/24 + (-2)\/(-6) - -11. Let j be r(s). Calculate the common denominator of (-331)\/j + (-24)\/(-180) and -16\/7.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4 - t - 4*t**2 - 6*t + 0*t**3 + 11*t**2. Determine h(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3*u**3 + 1812246*g**3 - 714653*g*u**3 wrt g?\nAnswer: 18*g*u**3 + 10873476*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31009160 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - 0. Find the common denominator of (-63)\/(-66)*d\/(-12) and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.831 * 0.4\nAnswer: -9.5324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -12c6?\nAnswer: 12ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = o + 5, 3*o - 4*k - 31 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 + (18\/(-99) - 1464\/(-1188)). Factor 2\/11*l**2 + 0 - z*l.\nAnswer: 2*l*(l - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -15, -5, 0, 4, 25 in decreasing order.\nAnswer: 26, 25, 4, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 58. Let s(v) = v. Let f(q) = -17*q - 1. What is y*s(r) + f(r)?\nAnswer: -14*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*y - 120 = -213*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.125 minutes in milliseconds?\nAnswer: 24907500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2052.697 milligrams?\nAnswer: 2052697000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 19 = -5*a, m - 4*a = 6 - 24. Suppose 6*c + 3*z - 94 = m*c, -2*z = -4. What is the remainder when 87 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -0.5, -3\/26, 3\/7, 5\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18536 = 2*d + 2*z - 9382, 4*z = 3*d - 41849. Let n = 502349\/36 - d. Calculate the common denominator of 77\/36 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = f - 4*b, 0 = 2*f - 4*b - 2. Let n be (f - -4)\/(24\/16). What is the third derivative of -35*c - 5*c**2 - n*c**5 + 35*c wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*l - 21*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from yhwwewwwewhhexweh?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(832))**2 + (sqrt(1573) - (sqrt(1573) - (-4*(2 + sqrt(1573)) - sqrt(1573))**2)))*3.\nAnswer: 2784*sqrt(13) + 120690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-9 + 3 + 5 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 - (-326 - -335).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -223, -0.5, 10093.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/4 - 5*j**4\/4 - 7*j**3\/4 - 3*j**2\/4 = 0. What is j?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1033 - 8377. Calculate the common denominator of -13\/12 and (-24395)\/d + (-8 - -2).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 10c7?\nAnswer: 10c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53816 is divided by 299.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.04, -0.13 in decreasing order.\nAnswer: -0.04, -0.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -13. Suppose 13 = 5*w - 3*c, 5*c + 20 = w + 13. Suppose -w*i = 3*z - 61, -10 = -5*i + 3*i. Calculate the remainder when t is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.01904631?\nAnswer: -0.05713893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 16. Let n(m) = -2*m + 16. Give -5*n(c) - 4*s(c).\nAnswer: -2*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -500*l**3 - 3150*l**2?\nAnswer: -3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ninety-eight thirds of a decade?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/23*9\/10. Let c = o - 4\/23. Let w = c - 7\/10. Put w, 0, 2 in decreasing order.\nAnswer: 2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/8 + -1 + (-47588)\/(-16). Let y = d + 2121. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, -2\/3, -1.4, 0.3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose 2*f - 6 = -m. Suppose -t - 3 = -5*y - 18, -f*t = y - 8. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653116 is divided by 653107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.11 or 53411.8?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/806 and -10\/413.\nAnswer: 332878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p - 2*t = -14, 21 = 4*p + t. Suppose -11665 = p*r - 9*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 470335 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -14*u - 300. Let w be v(-20). Let r(z) = -2*z**2 + 365 + 30*z**2 - 20*z - 345. Let y(c) = 3 + 4*c**2 - 2 + 2 - 3*c. Calculate w*y(f) + 3*r(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -819 + 826. Let h(u) = -2*u - 15*u**2 + 23*u**2 - 2*u - u**3 - 3*u. What is h(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 790 + -790.000834. What is k rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 k when four letters picked without replacement from {k: 6, c: 4, t: 10}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*o + 33523 = 56619 + 41719 for o.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**4\/28 - 2*g**3\/7 + 3*g**2\/14 + 439. What is i in d(i) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103615707.\nAnswer: 3, 13, 2656813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -24, 3, -3, 5 in ascending order.\nAnswer: -24, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0 + 2. Suppose -2*b + o + 4 = 0. Let q be b\/(-6) - 6\/(-4). Is -5 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58437 and 313476.\nAnswer: 40438404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4\/227679 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2 + 6*z - 7. Let d be n(5). Let b = 29 + d. Let p = 75 + b. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*w - 28, u - 2*w = 2*u - 11. Suppose -1 + 6 = d. Let i = d - u. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131598691.\nAnswer: 7, 18799813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 595304.\nAnswer: 71436.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2)*(1 - -1). Is 12 a factor of (-2 + -23)*-1 + k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2745*m - 10*m**2 + 128214*m**3 - 128209*m**3 + 2745*m.\nAnswer: 5*m**3 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n - 2 - 1\/2*n**2 + 1\/3*n**3. Suppose -3*k + 10 = 2*k. Give x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1567062 divided by -2\nAnswer: 783531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192138899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 4, g: 2, l: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282800 and 88.\nAnswer: 3110800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -109.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Let d = 5 + -25. Let l = 15 + d. Which is the third smallest value? (a) y (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.7064 rounded to 0 decimal places?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13.000001. What is f rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024537 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 19 = -5. Let p be (4\/(-6))\/((-2)\/(-6)). Let o(u) = -5*u**3 - u. Let x be o(p). What is the highest common factor of x and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 2.9, 3, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 132*v + 2153. What is s(39)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:48 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*m + 13*m**2 + 3*m**3 - 13*m**2 - 9*m**3 - 2*m**4 + 28*m as q*m + s + v*m**2 + u*m**3 + f*m**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d (base 14) in base 16?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*i = 125*i - 9. Solve 4*v = 3*n - 17, -2*v - 9 = 2*n - i*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -21. Let n = -22 - j. What is the units digit of (-22)\/n + 2\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*g = -6, -19 = 2*k - 2076*g + 2081*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 3:08 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(-2*sqrt(1539) - sqrt(1539)) + 1.\nAnswer: -54*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78*-4*(-3)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.4186 centuries in millennia?\nAnswer: 94.14186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*o + 3*o. Suppose 0 = p - 4*a + 16, 0*p = -3*p - a - o. Let l be (2\/p)\/((-6)\/(-12)). Let d(s) = -10*s**2 - s. Calculate d(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -1.2340776?\nAnswer: -1.2540776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33388 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46017286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2.629\nAnswer: 1.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.2054 - -143265\nAnswer: 143262.7946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-38) + 9\/6 + 0. Solve j*m = -z - 1, 0 = -m + 2*z - 2 + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10270830*g = -10270599*g - 22176 for g.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*z + 6 = -23, -5*f + 49 = z. Suppose -5 = -2*l - f. Let r(w) = -w**2 + 5*w - 4. Let j be r(5). Put l, 5, j in descending order.\nAnswer: 5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.016 * -1.8.\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3\/4 + 237*n**2\/2 - 4580*n - 226632 = 0.\nAnswer: -28, 76, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924 is divided by 291.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -27. Let z = l + -4. Solve -2*m + 1 = -z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = 5*b + x, -6*b - 64*x - 78 = -3*b - 67*x for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-16)\/(-480)*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 24 - -20) + -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:29 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -82*g**3 + 9 + 81*g**3 - 11 + 7*g**2 + 9*g. Calculate the remainder when z(5) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4 - 611*k**2 + 2*k + 7233.\nAnswer: -4*k**3 - 1222*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 56, 39, 4, -55, -144, -269?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.179? (a) 3\/2 (b) -5 (c) 9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -39, -84, -147, -228, -327?\n\"Answer: -9*k**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2396.4356 - 2413.43559994. Let t = s - -17. What is t rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*o - 19 = 513*o - 4*c, -2*o = -2*c + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 33, -4, -23 in descending order.\nAnswer: 33, 4, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4\/5 + 27*h**3\/5 + 408*h**2\/5 = 0. What is h?\nAnswer: -8, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10346032181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*x - 2*t - 5, -2*x + 3*t = 5. Solve -w + 0*w = -3*h - 14, x = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xallxxx. What is prob of picking 1 a and 3 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2. Let i(k) = k + 2. Let y(j) = -4*i(j) - 4*r(j). Let h(u) = 14*u**2. Calculate y(h(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51550068 or -51550065?\nAnswer: -51550068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/4)\/(453\/(-1208)). Which is the third biggest value? (a) 2\/7 (b) -1\/4 (c) m (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 113*h + 1958. What is k(-17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100 (base 3) in base 12?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -8\/39 (c) -3.7 (d) 0.4 (e) -5\/69 (f) 4\/9 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 - -9) + 255 - 1*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, -0.5, -2\/3, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose -4*x + 0 = 4, -4*x + 2 = -3*r. Calculate the remainder when (r - -4)*10\/4 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4253039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1102 = -2*d, 5*d + 0*d - 5*o - 2725 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45022218 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 + 5. Suppose 10*c = 7*c + r. Suppose 4*u = 8*u - c. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8*d - o + 10 = 0, 0 = -2*d + 5*o + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1\/2*b**3 + 5\/2*b**2 - 32*b - 2. Give p(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -98*u**3 - 3*u**2 - 2*u. Let i be b(-1). Round i to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2311, 2332, 2361, 2404, 2467?\nAnswer: 2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22790, -23084, -23576, -24266, -25154?\n\"Answer: -99*i**2 + 3*i - 22694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*w - 5 = 0, 4 = j - w + 2*w. Suppose 2*x + j*m = -34, 0*x = x + 4*m + 12. Let b be 1*2 - x\/15. Which is bigger: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlne when four letters picked without replacement from weenneeeelnnvwwnu?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3\/(9\/3). Let x(t) = -t + 1 + 5 + g. Let j be x(0). What is the highest common divisor of 15 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/9 (b) 6 (c) 1.23 (d) 3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Suppose i = 3*i. Suppose -k*y + 8*y - 92 = i. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432.7 * -9\nAnswer: -3894.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 35.4. Let d = 0.6 - w. Let z = -5399.2 - -5399. Put 2\/7, z, 0.3, d in decreasing order.\nAnswer: 0.3, 2\/7, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21 - (1 - (0 + -1)). Let u = z + 24. Let i(c) = 6*c**2 - 7*c**2 - u + 1. Let b(j) = 20*j. Calculate i(b(x)).\nAnswer: -400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/30)\/((-41)\/5). Let u = -1857854375\/861 - -2157787. Let f = z - u. Which is the third biggest value? (a) -5 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-2)\/4*-18. Let i(p) = -17*p**2 + 17*p + 13. Let g(y) = -4*y**2 + 4*y + 3. Give m*i(o) - 26*g(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 2*v)*(5053 - 1898*v - 5053 + (-1 - 2 + 1)*(v + 3 - 3)).\nAnswer: -1900*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 8. Is (-28808)\/(-5) - (-3)\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 + 5*j - 1. Let v be q(3). Let a be 4\/(8\/v)*-2*-1. Suppose -239 = -a*c + 496. Is c a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100001011 (base 2) in base 15?\nAnswer: -5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 11865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -148.078?\nAnswer: 17.76936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 0*j**3 - 2*j**3)*(-59 - 4 + 8)*(2 - 2 + j**2).\nAnswer: 55*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2341 - -2341. Let x(d) be the second derivative of 0*d**4 + 0 + g*d**2 + 3\/2*d**3 + 8*d - 1\/30*d**6 + 0*d**5. Find the second derivative of x(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-21))**49\/(w**(-1\/20)\/(w**(2\/93)\/w)) assuming w is positive.\nAnswer: w**(-1915667\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 483562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 5, 6, -3, -28, -75?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 22608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3984 - 1d9?\nAnswer: -3b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s - 6. Let b(w) = -5*w + 7. Determine -3*b(o) - 4*c(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 6*k**2 - 5*k + 1. Let h be o(-5). Suppose h - 11 = -5*t. What is the greatest common divisor of 6 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -24103, -10 in descending order.\nAnswer: 129, -10, -24103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4 - 20*b**2 + 6 - 10. Let y(v) = -4*v. Give y(w(u)).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281.7 - -283. Let o = -775 + 774.6. What is the nearest to 1\/3 in o, 3, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76297.24 millennia in decades?\nAnswer: 7629724","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by 130.\nAnswer: 228\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3885 + -118. Round z to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -23409*r - 2. Let b be (0 + 3\/6)*-2. Let y be p(b). Let c = -1407 + y. Round c to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*i**3 - 42*i - 17 + 42*i wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q**2 + 9*q**2 - 30*q**2)*(2 - 3 - 1)*(-q - 3*q + 3*q)*(0 - 4 + 5) in the form g*q + w*q**3 + k + m*q**2 and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 2*f - f + 3)*(-6*f + 6*f + 9*f) in the form l + x*f**2 + i*f and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 - -6. Let f(o) = o + 10. Let q be f(10). Suppose -17*p + 9 = -q*p. What is the nearest to w in 2, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 + 6*a**2 - a - 1. Let w(v) = 9*v**3 + 6*v - v - 3*v - 12*v**2 + 3. Let y(b) = -5*l(b) - 2*w(b). Is y(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmamimammmamaamaima. Give prob of picking 3 a and 1 i.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -1\/26*j**4 + 0*j**2 + 0*j - 2\/39*j**3 + 14 + 4\/65*j**5. Let w(d) = 0. Calculate d.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 4:49 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 735949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (46\/9)\/(3\/(189\/(-14)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) 0 (b) 2\/5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1291, -2582, -3873, -5164?\nAnswer: -6455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274 - 118. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 9 - 21 - 2*v**4 + 6 - 2*v**3 - 5*v**3 + 4*v**4 as q*v**4 + w*v**3 + j + y*v**2 + l*v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9 - 25 = 0. Calculate the remainder when 3 is divided by a\/(-1) + (-6)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15920275799\/226 + 70443447. Let h = -48872412\/195151 - n. Let i = h + -3\/157. Calculate the common denominator of -33\/20 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 + 365\/20. Let d be 120\/297 - 4\/n. Let t = -0.1 - -0.1. Which is the third biggest value? (a) -0.5 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:02 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6376, 11886, 17398, 22912, 28428, 33946, 39466?\nAnswer: 44988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 151.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 - 1284.6. Round h to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 + 0)*(3 - 12))\/(122*(-447)\/345382)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-1)\/(-5052))*981\/436 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 - -57)\/(1 - 2))\/(-1). What is the third derivative of -344 + 344 + t*d**3 + 19*d**2 wrt d?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000098004 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-3))\/((-2)\/(-9222)) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 8*d**2 - 6*d - 7. Let u = -69 - -62. Give l(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3255\/22 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiivviiiiiiviiii. What is prob of sequence vvi?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 0.0239276.\nAnswer: -0.006221176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202157 and 1582.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*q**2 - 57*q**2 - 36*q**2.\nAnswer: -212*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/9)*r*r*r)**(-3))**(-11)\/(((r**(-1)\/r*r*r)\/r)**(1\/38)*(r**(-1)*r)**(24\/11)) assuming r is positive.\nAnswer: r**(15887\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/2 of a centimeter?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 7. What is the tens digit of a(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 6*u + 790. Let n be x(-25). Solve n*y = 721 - 586 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 4*h + 1. Let f be r(-4). Suppose f = 4*m - 27. Calculate the lowest common multiple of 1 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + -1 + 24 - (2 - 8)) + (-15 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96, -355, -778, -1359, -2092?\n\"Answer: d**3 - 88*d**2 - 2*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19750381 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*u - 7. Let g(d) = 3 - 33*d**2 - 33*d**2 + 67*d**2 + 7*d. What is g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 3, q: 4}. What is prob of picking 1 m and 1 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-4\/5)*u*u**(-14)\/u assuming u is positive.\nAnswer: u**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 14. Let v(x) = -236072*x**2 + 2*x. What is r(v(f))?\nAnswer: -1652504*f**2 + 14*f - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.5 - 13. Let c = -2 - l. Let b = 0.45 + -0.35. What is the third smallest value in b, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 56*g**3 - 2*g + 1. Let j be b(1). Suppose -215 = 2*s - j. Let f = s - -179. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-2*x**2 + x**2 + 2*x**2) + (-5*x + 0*x + 0*x)*(-2*x + 5*x - x) to j*x + g*x**2 + p and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 23*d**2 + 11*d + 22. Calculate the least common multiple of i(-22) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**19*v)\/(v*(v*v**(-3\/13))\/v))\/(v**6*(v\/(v*v\/v**(1\/31))*v)\/v) assuming v is positive.\nAnswer: v**(6125\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - (5 - -1))\/(-2 - 7\/(-4)). Solve 20 + z = 4*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = 5*h. Suppose -5*c + 8 = k, 1 = 5*c - k - h. Let m be (c\/(-20))\/((-4)\/(-10)). Is m bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570 and 304.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6760, 6763, 6766, 6769, 6772, 6775?\nAnswer: 6778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, p: 3}. What is prob of sequence ppcp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*b = -6*b - 4590 - 3823 - 2474 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*y + 876*y + 751*y - 1784*y.\nAnswer: 449*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 4, -1, -3, 3 in increasing order.\nAnswer: -3, -1, 3, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 626*i**2\/3 - 48670*i\/3 + 49298\/3.\nAnswer: -2*(i - 1)*(i + 157)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8977 - 13283. Let z = 1767 - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70\/3 + 24. Let v be (-14)\/(-4) + 3\/6. Let z be (-12)\/(-16) + 1\/v. Do z and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + (6 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -5\/6, -0.3, 2\/5, 2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*y - 174*y + 453*y**2 - 451*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + 315. Let j = -257 + f. Calculate the greatest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(-4 - -3))\/1. Let y be -2*(-10 + -2)\/4. Suppose 3*r = -37 + 34. Sort h, y, r, 2 in descending order.\nAnswer: y, 2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13514 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1259, -1836, -3397, -6434, -11439, -18904, -29321, -43182?\n\"Answer: -82*v**3 - 3*v - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 30. Let y be (0\/1)\/(12\/4). Let p(i) = 0*i + y*i + 7 - 2*i. What is p(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3283*z + 8293*z - 11389*z.\nAnswer: 187*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i. Let h(m) be the third derivative of -3*m**2 + 0 + 1\/6*m**4 + 0*m + 0*m**3. Calculate -3*b(g) + 8*h(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31028488*i**4 - 3770397*i wrt i.\nAnswer: 372341856*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a factor of 143209446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -32*d**5\/7 + 11856*d**4\/7 - 17490*d**3\/7 - 82450*d**2\/7 + 28086*d - 15498 = 0.\nAnswer: -3, 1, 7\/4, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - t + 1. Let r(b) = -b**2 + b - 1. Let c(d) = 3*g(d) + 3*r(d). Let q(y) = 3*y - 3 + 3. Give q(c(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/3, 5, -1\/3, 4.9636, 2\/7, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = c - 26, 5*c = 4*f + 27 + 104. Let y = 2 - 2. Suppose 4*v - 4*w - 40 = y, -v + 4*w - 7 = -20. Calculate the greatest common divisor of v and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3 - 11. Let t be 34\/8 + (-48)\/(-64). Put 1, u, t in increasing order.\nAnswer: 1, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 21*s + 5*i + 55 = 0, 5*i - 35 = -s. Let z = 1212 - 854. What is the remainder when z is divided by s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u - 221 = 35*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179743 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15708 rounded to 3 dps?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*-3 - (-2 + (sqrt(7)*-3 + sqrt(7))**2) - -5*(sqrt(448) + -2 + 3).\nAnswer: -21 + 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628507761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 2.7. Let r = -2.91 + -0.09. Which is the third smallest value? (a) 2\/3 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*o**3*r**2 - 33*c**3*o**3 - c**2*o**3*r + 2*c**2*o**2*r + 1232*c*o**3*r**2 - 36*o**3*r wrt r?\nAnswer: -4*c**3*o**3 + 2464*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388, 267, -48, -653, -1644, -3117?\nAnswer: -5168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11.7, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6028 + -6031. Suppose 0*i + 5 = -i. Let r = 3 + i. Put o, r, 2, 7 in descending order.\nAnswer: 7, 2, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -5*z**3\/12 - 85*z**2\/8 + 95*z\/2 + 3921. What is f in x(f) = 0?\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51 + 2*j**5 + 26 + 24 + (2*j - j - 2*j)*(2*j + 3*j**4 - 2*j).\nAnswer: -j**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {i: 4, p: 2, a: 1, q: 1, g: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v - 13*v**4 - v - 6*v - 17*v wrt v.\nAnswer: -156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/4376 + -167539\/608264. Are 1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65211453*v**3 - 24400312*v**2.\nAnswer: 391268718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 910056, -4, -3, 1, 5, -5, 4 in ascending order.\nAnswer: -5, -4, -3, 1, 4, 5, 910056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66367 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000010110011000011100 - 110000?\nAnswer: 1010000010110010111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:38 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15913, -127109, -428933, -1016701, -1985729, -3431333, -5448829, -8133533?\n\"Answer: -15886*c**3 + 2*c**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4136.3 and 0.019.\nAnswer: 78.5897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2 - 55*h**4 - 16*h**4 + 27*h**4 + 6 - 33*h**4 wrt h?\nAnswer: -1848*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20935237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 3139.749 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18693200 divided by 109960\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259246 + 1817929\/7. Which is smaller: 458 or u?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 19, g: 1}. Give prob of sequence aa.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -5*p + 66. Let b = -12 + p. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 16. Suppose -4*c - 203*n + 199*n = 24, 3*c + 22 = -2*n. Determine r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let j(r) = 7*r**2 - 6*r - 6. Let p(u) = -20*u**2 + 17*u + 17. Let n(z) = -17*j(z) - 6*p(z). Calculate o(n(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1184 divide 1491024224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1481*f**7\/105 + 1154*f**3\/3 + 214*f**2 - 27*f. Find the first derivative of a(y) wrt y.\nAnswer: 11848*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28262514, 28262485, 28262456, 28262427?\nAnswer: 28262398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*g = 13 + 13, -3*s = -4*g + 28. Let u = s - -30. What is the greatest common factor of 55 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34737, -1\/2, -1\/6 in increasing order.\nAnswer: -1\/2, -1\/6, 34737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2. Let t(x) = -21192*x. Give t(f(a)).\nAnswer: 21192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + -42?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 - 10 = 0. Suppose g*q + 2*n - 80 = q, -85 = -5*q - 3*n. Calculate the highest common divisor of q and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*h**2 - 2 + 2.\nAnswer: -481*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/12 + (-1)\/3. Let m = 97 - 98. Let n be ((m - -1)\/2)\/(54\/(-18)). Which is the closest to -1\/2? (a) s (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(171)\/(-4*sqrt(9)) + 3*1*-1*sqrt(19).\nAnswer: -13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3071665*y + 3071692*y - 6143333*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 130 = 3*f - 324, -4*y + 3*f - 920 = 0. What is y rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - 4*b**2 + 6*b**2)*(-2*b**2 + 1 - 1) + (-b**3 + b**3 + b**4)*(30 - 11 + 26) in the form z*b**3 + c + i*b**4 + v*b + k*b**2 and give i.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 35503*i - 71023. Give o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*n**3 + 16*n**2 + 0 - 52\/3*n.\nAnswer: 4*n*(n - 1)*(n + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 13.1253, 9?\nAnswer: 13.1253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000001100111 (base 2) in base 9?\nAnswer: -81158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((2 - 0) + -8 + 1 + 19 + -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + -4.04. Which is the nearest to 1\/3? (a) -5 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65414394 divided by -21804798?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -28, 12, 0.2, 13, 1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024854793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 344 = 346, -l = -5*z + 6916. Is z a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3165 divide 1083009195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 1. Let f be 1\/5*((-5 - -11) + 4). What is s(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2075 = -4*y, 4*y - 4*s = 874 + 1198. What is the remainder when 1063 is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 74573392.\nAnswer: 74573389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)*z)\/((z**14*z)\/z) assuming z is positive.\nAnswer: z**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2465 divided by -2465\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -14. Let b(w) = w**2 - 3*w + 1. Let h be b(k). Suppose 3*x - h - 7 = -3*o, 4*o + 6 = x. What is the remainder when 8 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f + 2)*(-1 + 1 - 2*f - 5 + 2*f + 5 + (5*f - 3*f - 3*f)*(-3 + 1 + 1) - f + 2*f + f - 1 + 1 + 8*f).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - (9 - 1) - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20405401 (base 6) to base 7.\nAnswer: -5014351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 5 + (3 - 5 + 0)*(-2 - 4 + 4) + 2 - 3 + 0)*(-2381 + 386*f + 2381)*(0*f - f + 0*f) as j*f + o + q*f**2 and give q.\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - (-203)\/28. Solve -2*h = 1 + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 924, 1115, 1304, 1491, 1676, 1859, 2040?\n\"Answer: -u**2 + 194*u + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o + o**2 + 8 - 2*o - 14*o. What is r(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -5*q**2 - 16*q - 3. Let x(l) = -l**2 - 5*l + 4. Let u be x(-6). Let n(r) = -2*r - 3. Determine u*d(g) + 11*n(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 5*b**2 - b - 5. Let s = -15 - -10. Let p(t) = -4*t**2 - 17 + 18 - 5 + t**3 - 2*t + t. Suppose -9 - 7 = -4*c. What is c*z(j) + s*p(j)?\nAnswer: 3*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38014169, 76028336, 114042503, 152056670, 190070837?\nAnswer: 228085004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22922 (base 14) to base 9\nAnswer: 137340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -423, 4, -6, -50, 3 in ascending order.\nAnswer: -423, -50, -6, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1455 + -1669. Let g be 4\/(-46) + j\/(-1012). Are g and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 22*x**2 - 22*x - 4. Let h(r) = -r**2 - r. Let z(m) = -4*b(m) + 88*h(m). What is the first derivative of z(j) wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 198 + 26b3?\nAnswer: 284b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d8b - 2?\nAnswer: d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7202 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 886607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/24 + 2*p**3\/3 + 4*p**2 - 2*p. What is x in r(x) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19291 is divided by 184.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -779, -784, -789, -794?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p - 2. Suppose 21*w + 14 = 23*w. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5334 = 5*y - 4*q, -4*y + 4917 = 2*q + 655. List the prime factors of y.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 3*c. Let s be 0 - 4 - (32 - 32)\/27. Let f(d) = -2*d**2 - 2*d. Give s*f(g) + 3*z(g).\nAnswer: 5*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**3 + 5*s**3 + 6*s**4)*(22 - 34 - 721) in the form f*s + a*s**4 + d + w*s**2 + y*s**3 and give a.\nAnswer: -4398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 505*z + 21286*z**4 - 1 - 21287*z**4 - 208*z in the form d + b*z**3 + l*z + x*z**4 + q*z**2 and give l.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12343 (base 7) to base 3\nAnswer: -11110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -7\/3, 7, -20.3, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 22. Calculate the remainder when (-3)\/w + (-234)\/(-5) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t - 24 = -5*l, -2*l + t + 10 = 0. Suppose 2*d = l*d. Let c = -7 + d. Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 5*n - 836, 4*x - 3361 = 3*n. Suppose x - 167 = 2*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/q**(5\/9))\/(q\/(q*q**19)*q**(-20)) assuming q is positive.\nAnswer: q**(238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 25*f - 15 = 0. Let d = -30 + 42. What is the greatest common factor of f and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424703 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s + 98. Let a = 64 - 61. Suppose 38 = -a*q + 89. What is the remainder when k(-5) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 1. Suppose 22*q = 15*q. Suppose 3*h - 5*m - 9 = q, -3 = -h + 18*m - 23*m. Determine z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2476601ml in litres?\nAnswer: 0.0002476601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -2, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1035 and 1033 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 106 - 12. Let m be (-4)\/18 + t\/(-9). Suppose 5*w - 30 = -4*v, -5*v = m*w - 2*v - 25. Put 5, -2, w in descending order.\nAnswer: 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145243218 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -258 - 1. Let u = v - -263. Which is the smallest value? (a) u (b) 1\/7 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101048 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 + 246*l + 480 = 0. What is l?\nAnswer: -80, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*q**3 - 284*q**3 + 139*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*t**2 - 5*t**4 + 16*t**2 + 17*t**2 - 5*t**4 wrt t?\nAnswer: -240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33, -68, -109, -156, -209, -268, -333?\n\"Answer: -3*h**2 - 26*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 1254706937 - 1254706937. Let r(k) be the first derivative of 0*k - 5\/2*k**2 - 1. Determine v(r(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197838\/833 + -4186\/17. Let z = 95\/175607 + 1042476349\/189304346. Let c = z + j. Find the common denominator of c and -31\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75199.\nAnswer: 139, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 372781834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147901 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457033855 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 47*c - 36 = 0. Suppose 0 = -5*k - 2*m + 58, -2*m = -c + 1. Calculate the highest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glfssllglollcsgllll. Give prob of picking 2 s and 2 g.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3 + 6. Let r be (4 - 4)\/(-4)*-1. Solve -o*q - 6 = -r*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/4 - 89*j**4\/2 + 2459*j**3 - 39158*j**2 - 187584*j - 198144 = 0.\nAnswer: -2, 48, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 11*v + 2. What is m(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1482 divided by -494.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427*x**2 - 450*x**2 + 0 - x + 0 to the form b*x**2 + h*x + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9751 (b) -4\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3755 + 9217. List the prime factors of z.\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s + 56 - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19093?\nAnswer: 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7771.\nAnswer: 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4777, 19110, 42999, 76444?\nAnswer: 119445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*g + 2166 = 0, -12*a + 1304 = -9*a - 4*g. Suppose -44*x = -32*x - a. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56727 divided by -1719?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12805 (base 9) to base 10.\nAnswer: 8672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**5 + 63*v**4 + 195*v**3 - 735*v**2 - 198*v + 672 = 0.\nAnswer: -16, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 66 + 1\/4*r**4 + 1\/2*r**2 + r + 0*r**3. Let c(u) = 4*u**3 + 7*u + 6. Give 6*b(h) - c(h).\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/8 - (-10)\/40. Put 3\/2, -0.4, t in descending order.\nAnswer: 3\/2, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3848*v**4 - 941*v**3 - 834*v**3 - 11053 + 1775*v**3 with respect to v.\nAnswer: -15392*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3999 (b) -7 (c) 0.016 (d) -2\/155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(304) + 1 + -1 + 0 + sqrt(304) + sqrt(304) + -1)*3.\nAnswer: -3 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 25*z. Let o(b) be the third derivative of -b**5\/30 - 14*b**2 + 7*b. Determine o(f(i)).\nAnswer: -1250*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Suppose -y*d + 9 = 3*v, 0*d + d = 2*v + 16. Suppose d = -3*u + 21. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -577\/5 + 116. What is the closest to 0.1 in 6, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {e: 3, f: 1, i: 2, d: 4, c: 2, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1519 bigger than -0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -283*j**4\/4 + j**3\/3 - j**2\/2 - 338*j - 213. Find the second derivative of l(o) wrt o.\nAnswer: -1698*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 4*o - 3. Let r be q(-5). Let w(h) = 12*h**3 + h**2 - 2*h + 1. What is the remainder when w(r) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43810*q**4 + 5868*q wrt q.\nAnswer: 525720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286607.\nAnswer: 3, 7, 197, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**3\/15 - 57*k**2\/10 - 812*k\/5 - 4853. Find t such that v(t) = 0.\nAnswer: -29, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*d = -20918 - 64468 for d.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/24 + f**3\/6 - 5*f**2. Let u(r) = 5*r + 5. Let k(m) = 6*j(m) - u(m). Differentiate k(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657*j + 1049892 = 669*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/766038 and -1\/67344.\nAnswer: 6128304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -3 + (-22)\/(-26)*1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1343515868 and 59784?\nAnswer: 9964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -86631*t - 5753. Is p(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 2*x + 5*x. What is the remainder when 152 is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 94*w**2 - 4*w + 8. Let b be j(2). Round b to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let p(f) = 1850*f. Determine p(j) + 2220*q(j).\nAnswer: -370*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161\/1131 - -1\/87. Which is the closest to n? (a) 0.2 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**6*r**2 - 8*a**3*r**2 + 3*a**2*r - a*r**2 - 2 wrt a?\nAnswer: -360*a**3*r**2 - 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1666 - -1766.7. Let h = 2 - 109. Let p = f + h. Round p to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.34 - -1.64. Which is the second biggest value? (a) 1\/2 (b) m (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t - 7. Let w be ((-1)\/(-4))\/(t\/16). Let r(c) = -23698*c - 1161284. Let z be r(-49). Is w less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*y - 9143 = -200*y - 629*y - 90403 for y.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n**3. Calculate g(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 2*y**3 + 2*y**3 + (-y**2 + 2*y**2 - 6*y**2)*(0*y + 3*y + y) as w*y**3 + q*y**2 + p*y + m and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10660 (base 8) to base 16.\nAnswer: 11b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1561*c**2*m**4 + 1518436*c**2 + 478*m**4 wrt m?\nAnswer: 6244*c**2*m**3 + 1912*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435819 = 4*k + 151*k - 436439. Suppose 2*r + 18 = 4*r. Solve -5*n = k*n - r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37968 and 19883367.\nAnswer: 318133872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express h + h + h + (2 + h - 2)*(1 + 0 + 2) + (-2*h + 0*h - 2*h)*(1 - 1 - 2) as o*h + m and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z**2 - 197*z**2 - 11*z**2)*(6*z + 2*z - 3*z) as k*z**2 + h*z + p + d*z**3 and give d.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)\/f**2)\/(f\/(f*f**(2\/3))*f)**(6\/5) assuming f is positive.\nAnswer: f**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n - 6. Let f be 15\/(-10)*(1 + -11). Suppose -w - f = -4*w. What is the remainder when t(w) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000334 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + 10 + 0 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = -87 + 269 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -66, 5, 14, 10.\nAnswer: -66, -1, 5, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is u in 40*u**5\/3 - 213269*u**4\/3 - 272038*u**3\/3 + 293321*u**2\/3 - 10666*u = 0?\nAnswer: -2, 0, 1\/8, 3\/5, 5333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 172 + 1 + 2 - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*t. Let j be 4\/3 + -2 + 2210\/39. Let g = j + -54. Solve -t*h - 5 = -3*h + g*w, 5*w + 10 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3055746 + 0.061.\nAnswer: 3055746.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 22 = -5*f. Let m(d) = -2*d + 4. Let w be m(-3). Let t = f - w. Solve t*h + 0 = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (753\/(-502))\/((-3)\/4)*(-19)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246028813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 791218 divided by -8\nAnswer: -395609\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 4. What is the remainder when 23 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, t: 2, r: 2, m: 4, x: 1}. What is prob of picking 1 m, 2 r, and 1 x?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002697 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 - -164. Suppose 5*r + 137 = 3*b, 0*b = b - r - s. Is b a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432714333 to the power of 1\/2, to the nearest integer?\nAnswer: 20802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d. Suppose n = 4*k + 18, -5*k - n + 65 = 83. Let r(i) = -21*i. Give k*r(j) + 10*v(j).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 5*o)*(1 + 1 + 0)*(2*o - 5*o + o)*(-3*o + 3*o - 2*o).\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29820, -29772, -29726, -29682, -29640, -29600?\nAnswer: -29562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687668 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from ooosossosssssssssss?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.504272503 to three dps.\nAnswer: 1.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 45 + 39 = 0. Let w = 18 + z. Let i(c) = -c**2 + 3*c + 3. Calculate i(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4602*f + 4665*f + 4666*f - 13934*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 20. Solve -7*r = -2*r + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*p**2 + 42*p**2 + 1952*p**3 - 265926*p + 265926*p + 232 wrt p?\nAnswer: 11712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 249797 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 2*z + 0 + 1\/2*z**4 - 1\/6*z**3 + 0*z**2. List the prime factors of b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 46 = 2*w - 3*v, -w + 2*v + 21 = 0. What is the first derivative of -24*l**3 + 16 + w*l**3 + 15*l**3 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 117\/((-3)\/(-2)*-1). Let n be y\/(-65) + (-1)\/5. Let d(q) = 19*q + 1. What are the prime factors of d(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 3 + 3 + 12*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2297, 1\/2, 5, 1\/5, -0.4, -7\/6 in decreasing order.\nAnswer: 5, 1\/2, 1\/5, -0.4, -7\/6, -2297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*15\/(105\/56) + -160 + 80.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 600 - -279?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Let i = 1 - r. Let u be i\/(2\/(-4)*-6). Solve u*j - j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20222 + -43?\nAnswer: 20124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - c - 5 + 11.\nAnswer: -c + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a67553a - -5?\nAnswer: -a675535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 - 5.4. Let v = 2122.94 + -2123. Which is the nearest to v? (a) -3\/4 (b) i (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 4, 0.6, 17.82?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162))\/sqrt(9) - sqrt(18) - sqrt(18) - sqrt(18))\/(sqrt(60)\/sqrt(160)).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 38*j**2 - 7*j + 195. Determine u(38).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357749137?\nAnswer: 1357749137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45909634.\nAnswer: 2, 107, 214531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-55)\/(-11))\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1233 + -1168. Let j(w) = -55*w**2 + 65*w. Let c(i) be the first derivative of 5*i**3\/3 - 3*i**2 + 2. Determine n*c(q) + 6*j(q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 147665404 less than 147665404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -362 + 360. Let d(x) = 2*x**3 + 7*x**2 + 3*x. Let z(r) = -r**3 - 3*r**2 - r. Determine s*d(m) - 5*z(m).\nAnswer: m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 7*p - 16. Let o(h) = h**2 - 4*h + 5. Calculate the lowest common multiple of r(9) and o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -5. Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 less than or equal to 1114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g - 1668 = -629 + 1031 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.54, 0.1, -3, -3\/7, 12\/11 in ascending order.\nAnswer: -3, -1.54, -3\/7, 0.1, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -48, -48, -50, -54?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -27*l**3 + l**2 - l - 2. What is the tens digit of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165 - 242?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744111338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s + 5*s**2 - 1\/20*s**5 + 0 + 3\/2*s**3 + 1\/4*s**4. Determine x so that r(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a + 27. Let f be y(-6). Suppose 19 - 11 = 4*w. Is 9 a factor of 9\/w*-12*(-232)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(1053) - sqrt(1053))*6)**2.\nAnswer: 606528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10389+63525\nAnswer: 53136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18652267622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i - 7. Let h(y) = -8*y + 7. Let g(b) = -4*h(b) - 3*n(b). Let r(a) = -6*a + 3. Suppose 0 = 412*x - 174 + 3058. Calculate x*r(o) - 4*g(o).\nAnswer: -2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 166, 165, 162, 157, 150?\n\"Answer: -s**2 + 2*s + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662860 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 117*m**4\/4 + 2*m**3\/3 - m**2\/2 - m + 11. What is the units digit of j(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w. Let y(d) be the third derivative of -d**5\/6 - 2*d**2. Determine y(h(c)).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p**2 + p + 4. Let o be t(-5). Let k be ((-72)\/135 - 1\/(-5))*-3. Sort o, -10, k in decreasing order.\nAnswer: k, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*22\/385)\/((-36)\/10)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - c - 2)*(-6*c + 6*c - 2*c**2)*(322*c - 103*c + 407*c).\nAnswer: 1252*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.5. Let r = 8 + -8.06. Let g = -1.06 - r. What is the biggest value in -1\/4, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*m*u**2*x**3 - 4*m*u*x**3 - m*u*x**2 + m*u - m*x**2 + u**2*x**3 - 52*u**2 wrt x?\nAnswer: -126*m*u**2 - 24*m*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + t = -17, 3*k = -3*t + 14 + 16. Let m(p) = 6*p**2 + 9*p + 17. Let s be m(k). Let z = s + -415. Calculate the remainder when z is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557424.\nAnswer: 2, 11, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -38*(-4)\/32\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 443 - 222 + 2*o**2 - 218 + 3*o**3 + 2*o. Give m(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izoivoizvojlilo. Give prob of picking 1 o and 1 j.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -51. Let l = b + -34. Let v be (l - -2 - 5)*-1. Solve -j + 3 - 2 = v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-7)*(-5 - 2). Suppose -h = r + 3. Calculate the lowest common multiple of ((-8)\/(-12))\/((-1)\/r) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 15, 0*m = 3*m + 5*w - 27. Suppose 2 = m*z - 2. Find the common denominator of 25\/8 and 135\/130 - z\/2.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 400?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 6*g**2 - 36)*(-2*g + 3*g + g) + (9*g**3 + 6*g**3 - 22*g**3)*(1 - 3 + 0).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 8, -79 = 3*g + 3*v - 4. Let b = 32 + g. Suppose -5*l - b - 13 = -3*r, 0 = r - 4*l - 10. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -535 - 2440*t + 4876*t - 2440*t to s*t + x and give x.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.315 nanograms in micrograms?\nAnswer: 0.075315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250\/9 - -85\/3. Which is the biggest value? (a) -1 (b) 2\/7 (c) p (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/(-144))\/(4\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/2015)\/((-18)\/(5040\/(-728)))?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 15, 0 = 3*x - 2*x - 2*w - 8. Suppose -3*s + 12 = -3*f, -7*s - 4*f + 2 = -x*s. Let k(v) = v**2 + 0 - s - v + 4 - 7*v. Determine k(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 36 - 6. Suppose x = 49*s - 46*s. Suppose 3*c - 83 = -5*d, 0 = 4*c - 3*d + 2*d - 80. Solve -s = 4*t - c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-15))\/(-7)*3\/12.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. What is the third biggest value in v, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9365 - 0.0635. Which is the closest to 3\/4? (a) 4 (b) -0.01 (c) -1\/6 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38556 + 1079685\/28. Let q = 32901\/56 - 4054\/7. What is the common denominator of q and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24493576 to the nearest integer?\nAnswer: 4949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8665456 divided by -379\nAnswer: -22864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 0, 1, 4496, -5, 3 in decreasing order.\nAnswer: 4496, 3, 1, 0.5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(6\/11)*c))\/((c\/(c**(1\/11)*c))\/c))\/(c**(-12)\/(((c**(-3\/7)\/c)\/c*c)\/c)) assuming c is positive.\nAnswer: c**(856\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 4. Let y = 6 + o. Is -1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221 + 1?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40\/11 - -404\/99. Which is the third smallest value? (a) 0.2 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26227, 59853, 93479, 127105?\n\"Answer: 33626*b - 7399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/4*j**3 + 0 - 20*j**2 + 0*j + 5\/4*j**4.\nAnswer: 5*j**2*(j - 1)*(j + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(6*(0 + sqrt(432) + sqrt(432)) + sqrt(432)*-1*4 - (sqrt(432) + (sqrt(432) - (-1 + sqrt(432) + sqrt(432))) + -2)*4))**2.\nAnswer: 19200*sqrt(3) + 691603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2216 - -2165. Sort -4, -4\/3, y, -3, 2 in ascending order.\nAnswer: y, -4, -3, -4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1910432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17698004*k**3 - 37718*k**2 + 6*k.\nAnswer: -106188024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 152*o - 150*o - 3*a, -2*o - 2*a - 12 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5 - 845*z**4 - 9529*z**3 - 21395*z**2 - 17568*z - 4860 = 0.\nAnswer: -270, -9, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(330)*3 - sqrt(330))\/(sqrt(10) - sqrt(40)\/(2*sqrt(4))))\/((5*(-1*sqrt(66) - sqrt(66)))\/(sqrt(12)\/sqrt(2)*1)).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:53 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.009 - 0.009. Let q = s - 14.00024. What is q rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q + q)*(45*q**4 + 16*q**4 + 35*q**4 + 29*q**4).\nAnswer: 625*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20167 and 65660?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 2*s**2 - 5*s + 14. Let g be j(2). Let v(r) = -r**3 - r + 1. Let z be v(0). Solve g*w + 3 = 8*w - c, w + z = 2*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37975 and 754075.\nAnswer: 5278525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {v: 4, r: 7, s: 2, x: 5}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 = 630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 18. Let f = g + 19.3. Sort -0.3, f, -0.1 in decreasing order.\nAnswer: f, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.685 * 29.\nAnswer: 48.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1550, -0.4, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -8. Let y be 1*(-3*f + 4). Let g = y + 29. Solve -4*n + d = g*d + 22, -19 = n + 5*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5455200 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 = 2*x - 240. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 192.325.\nAnswer: -192.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -41.9. Let t = 8 + 3. Let w = t + f. Round w to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 81*y - 94. Determine x(4).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.4, -4, -5684?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 3, x: 4, c: 1}. Give prob of sequence exec.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 38*c - 26. Let i(p) = -2*p**2 + 25*p - 17. Let n(a) = 8*i(a) - 5*t(a). Let w be n(9). Factor -w*g**2 - 2*g**3 + 0*g**3 + g**2.\nAnswer: -2*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 27*u**2 + 2*u - 65. Let j be r(26). Calculate the greatest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -1530, -6\/17, -4\/3, 4, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7552)\/(-144))\/59*(-36)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019987 rounded to 7 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17257103*f**5 - 2*f**4*z**2 - 3*f*z**2 + 11*f*z + 5*f + 7*z**2 + 8 wrt f?\nAnswer: 345142060*f**3 - 24*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1805.986 years to centuries.\nAnswer: 18.05986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 75*a**2 - 6376*a + 88. Let h be f(85). Let s = 1.8 - 2. Let c = s + 0.2. What is the third biggest value in h, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 73.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31764 + 9?\nAnswer: -31755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 3*j + 6*j)*(-2*j**2 + 3*j**2 + 3*j**2)*(2*j + j - 4*j).\nAnswer: -52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 42*h**2 - 44*h.\nAnswer: 2*h*(h - 22)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, g: 5, f: 4}. What is prob of picking 1 s, 1 g, and 2 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-5)\/90*144\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 63 = -103, -4*l + 8*v - 13*v + 34 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n = -509 - 166. What is the units digit of (-11 - 137)\/(10\/n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18512.6 + -18514. What is the third biggest value in 1\/7, i, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*p - 3, 0*p = 4*p + 3*w + 2. Suppose -p = -u - 6. Which is the second smallest value? (a) 4 (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -55, -7, 0, -1, 4, 197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u**(-4))\/u)**(-1\/5)*(u**(5\/3))**(-37\/3))**(1\/39) assuming u is positive.\nAnswer: u**(-907\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckktttk. What is prob of picking 2 k and 1 c?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/6 + (-250)\/(-60). Let j(u) be the second derivative of 0 - 2\/21*u**3 - 1\/42*u**4 + y*u + 3\/7*u**2. Factor j(s).\nAnswer: -2*(s - 1)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*h + 9, 97*x = -2*h + 96*x + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4 and 19\/8596.\nAnswer: 8596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 15. Suppose y - 4*y - 15 = 0, -6 = -4*z - s*y. Put -4, 0.7, z, -5 in increasing order.\nAnswer: -5, -4, 0.7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3085\/7 - -441. Which is the third smallest value? (a) -2\/23 (b) -1\/17 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z + 1. Let j(b) = 4*b**2 + b + 7. Let s(o) = 3*i(o) - j(o). Let h be s(-2). Let x be (h*(-3)\/9)\/(-2). Solve -5*c - 13 - 2 = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3*y - 3*h**2*y**2 - y**2 + 128*y wrt h?\nAnswer: -3*h**2*y - 6*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 13*x**2 + x + 15. Let a be (-3915)\/(-116) + -1 + 15\/12. Let b be (68\/(-12) - 3)\/(a\/51). Determine n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 14. Let m = -58 - -61. Factor 2*d - d + m*d**2 + o*d - 2*d**2.\nAnswer: d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-57))\/(2\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and -3.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/9)\/(5 - 3))\/((-149)\/(-1192))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -467 (base 16) to base 11.\nAnswer: -935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 6 - (-11 - (-1 + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161937 is divided by 80.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1376, -1372, -1372, -1376, -1384, -1396, -1412?\n\"Answer: -2*f**2 + 10*f - 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19022 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64\/273 + 2\/39. Sort 1\/16, i, -4 in descending order.\nAnswer: i, 1\/16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = 3. Suppose 5 = 5*g, -3*g = -2*c - 0 + i. Find the third derivative of -2*w**2 - 10*w**6 + 18*w**6 + 0*w**c wrt w.\nAnswer: 960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.2. Let m = x - 0.2999994. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 16 = -5*d - 0*t, 5*t + 7 = 4*d. Let m be (2 - 2)\/d - -3. Factor 9 - 2*g**m - 9 + 2*g.\nAnswer: -2*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 81*g**3\/2 - 91*g**2 - g - 121. What is the first derivative of m(j) wrt j?\nAnswer: 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 794945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63251189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 4750 = 226*t + 232*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -439509326 divided by -3?\nAnswer: 439509326\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-14 - -1 - -21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67.06918 years?\nAnswer: 804.83016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - 14\/36. Let i = -61\/126 - g. Let z = -138.4 - -138. Sort 1, i, z in increasing order.\nAnswer: i, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 r, and 1 k when three letters picked without replacement from {w: 9, y: 4, r: 1, i: 2, k: 3}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3384526578 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 50 - 50)*(-3 + 2 + 2)*(39*l**2 + 44*l**2 - 18*l**2).\nAnswer: -455*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-56)\/119)\/4 + (-268)\/34. Let r be ((-3)\/12)\/((-14)\/t). Which is the third biggest value? (a) -5 (b) -2 (c) -0.06 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-41552011\nAnswer: -41552011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49510 - -44a?\nAnswer: 4995a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*z**2 - 16*z**2 - 27*z**2 - 3*z + z - z - z**2 + (-3*z**2 + z**2 + 3*z**2)*(4 - 1 - 4) to i*z**2 + p*z + j and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76971217 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-7)\/6)\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3825 + 7076. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1324*h**3 - 4*h**2 - 2*h - 24. Let l(s) = s**3 - s**2 - s - 6. What is j(c) - 4*l(c)?\nAnswer: -1328*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 239384761*c + 124827410.\nAnswer: 239384761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0 - 3\/2*d**2 + d**3 + d. Let m(u) = u**2 + 11*u + 2. Let w be m(-11). Calculate o(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059892462 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-24))\/(f*f**21) assuming f is positive.\nAnswer: f**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/24 + 7*b**3\/6 - 19*b**2. Calculate the least common multiple of 10 and z(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**5 - 29*k**4 + 92*k**3 - 109*k**2 + 51*k - 3. Let i(h) = 2*h**5 - 30*h**4 + 92*h**3 - 110*h**2 + 50*h - 2. Let f(w) = 3*i(w) - 2*q(w). Factor f(a).\nAnswer: 4*a*(a - 3)*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(27 - 36565\/1349)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/5 - ((-153)\/85)\/(-9). Let m be n\/(((-116)\/(-10))\/((-24)\/30)). Is m less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-64872)\/(-54) + -4)\/(2\/3).\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-13))\/(-28 - 38255\/(-1365))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905947172?\nAnswer: 2, 3, 653617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5514969?\nAnswer: -4\/5514969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(38)\/sqrt(2) - sqrt(19)) + -1 + sqrt(2299) + -1.\nAnswer: -2 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 2. Suppose 2*l - 5 = -13. Let w be y(l). Solve 3*j + w*r = 4*j + 10, 0 = 5*j - r + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613165725.\nAnswer: 3, 5, 2725181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-2)\/1) + -54. Let b = -34 - n. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-24))\/(-5)*3\/(-3)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 + 3*v**2)*(9*v**2 + 0*v**2 + v**2)*(5*v - v - v).\nAnswer: 90*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let c be 7\/3 + (-2)\/6. Let k(x) = -3*x**c + 50 - 50. Give k(h(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*y - 15850 = 0, -36*y - 56 = -44*y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 345 - 1254 = 0. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646543 - 247*c**2 + 646543.\nAnswer: -247*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -4?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/60 - 71*x**5\/10 + 954*x**4 - 11236*x**3\/3 + 9400*x**2. Factor p(f).\nAnswer: 2*(f - 106)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q. Let w = -1684\/7 + 1685\/7. What is the closest to 2\/5 in w, q, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*o = -25, -3*f + 4*f - 3*o = 17. Calculate the least common multiple of (f\/12 - -2)*3 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 11. Let l be k(-10). Let v = l + -15. Solve j + f = -5, j + 5 = -0*j + v*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 10:29 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 289 - -2?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:33 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86624 - 1.\nAnswer: 86623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 768*c*s**3 + 12612495*c*s - 4928*s**4 wrt s?\nAnswer: 4608*c*s - 59136*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.506 and 3.0669?\nAnswer: 0.5609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:51 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*y + 486*y = q - 2, 5*q = -3*y + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 99*m - 1401. Give i(-82).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uur.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 1, y: 3, k: 1}. What is prob of picking 3 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 + -1)\/(-4))\/((-1)\/(-20)). Suppose -i = 2*z - 9, 3*i - 15 = -4*z + 4. Suppose -20 = -5*h + z*h. Calculate the highest common factor of q and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 24 = -g. Let b(d) = d**3 - 5*d**2 - 7*d + 9. Let k be b(g). Solve -4\/7 + 10\/7*v + 2\/7*v**k - 8\/7*v**2 = 0 for v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1 - -1) + 27. What is the greatest common factor of q and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/17 - 148*d**3\/17 - 2442*d**2\/17 + 2592*d\/17 = 0. Calculate d.\nAnswer: -48, -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/6 + 52*q - 2. Let n(w) = -10*w. What is c(n(x))?\nAnswer: 200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5)\/((-375)\/(-235))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 734 + 273. What are the prime factors of v?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**5\/10 - s**4\/12 + 2*s - 2. Let x(k) be the first derivative of u(k). Find the third derivative of x(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 1, 0.8, -1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4*(1 + sqrt(1700)))*-4)**2.\nAnswer: -1280*sqrt(17) + 435216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 42*d - 401. What is o(-69)?\nAnswer: 1462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c4 (base 13) in base 9?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/9*-6*(-1 - -2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**4\/6 - 5*o**3 - 181*o**2. Let a be h(-8). Solve a*i - i = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101101100111000 (base 2) in base 16?\nAnswer: -25b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-6\/13)))**19*(t**0\/t*t)**24 assuming t is positive.\nAnswer: t**(114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5732213887?\nAnswer: 53, 108154979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002002021 + -1220?\nAnswer: -10002011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 11299528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 4 - 5 - 1447*i + 1379*i + 2*i**2 as n*i**2 + t*i + v and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 98*p**2 + 18*p + 204. Let w(z) = z**2 - 4*z + 2. Let y(l) = s(l) + 5*w(l). What is the derivative of y(g) wrt g?\nAnswer: 206*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 12*b**2 + b - 15. Let d be k(-12). Let g be ((-6)\/1)\/(d\/(-18)). Let x = -7 - -12. Sort 3, x, g in ascending order.\nAnswer: g, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7382 + -7379. What is the third biggest value in 0.02, x, -0.4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*w**5 - 4610*w**4 - 46918*w**3 - 114430*w**2 + 13300*w = 0. Calculate w.\nAnswer: -5, 0, 1\/9, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 30*g - 25 = -60 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (17 - 14) + (0 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 1774 + 0*j**2 + 2*j**2 - 3*j**4 + 2*j - 1773 as a*j**4 + m + n*j + k*j**2 + i*j**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-8)*392\/98 + 225\/17.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - -0.18. Which is the third smallest value? (a) h (b) -5\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*k**2 + 152*k**2 - 2*k**2 + (0*k + 2*k - 4*k)*(k + 0*k - 2*k) + 5*k + 8*k**2 - 5*k.\nAnswer: 215*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-248)\/(-64) - (-6)\/48. Let v(p) = p**2 + 1. Let b be v(-1). What is the third derivative of 6*c**3 - b*c + c + c - s*c**2 wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 3*q**2)*(4 - 4 + 2*q**2) + (1 - 3 - 1)*(3*q + 3*q - 7*q)*(-2*q**3 - q + q) in the form x*q**3 + m*q + b + g*q**2 + s*q**4 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-1 - 0)*-2. Let h be (v\/6)\/(3\/(-9)). Suppose h*g = 5*n + 20, -10 = 2*n - 2. Is 0 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 302005*l + 5. Let u be m(-1). Round u to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23936.5 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 - 38*h + 3. Calculate t(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t = -780*t - 7929 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 733, 796, 977, 1336, 1933?\n\"Answer: 10*s**3 - s**2 - 4*s + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139476386?\nAnswer: 2, 7, 9962599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 - -0.1. Let k = t - -2.12. Let j = k - 1.7. Which is the nearest to 1\/3? (a) -1 (b) j (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181971131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26206859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d - 3. Let r be (-1)\/2 + (-3)\/2. What are the prime factors of (1 - (r - -9))*d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2834, -11400, -25696, -45722, -71478, -102964, -140180?\nAnswer: -183126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2572*c*w**2 + 22694*c*w - w**2 wrt w?\nAnswer: 5144*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10052*130.\nAnswer: 1306760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 584920?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 120 + 102 = 0. What is the third smallest value in -2\/7, -1\/34, 3\/8, f?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4403545 (base 6) to base 13.\nAnswer: 78653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -537*d**5\/20 + 11*d**4\/12 + 7*d**2\/2 - 82*d - 2. What is the third derivative of m(t) wrt t?\nAnswer: -3222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/337888 and 73\/59383816.\nAnswer: 237535264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 100*d + 1264. Give h(85).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*m - 5*m. Calculate the remainder when (m\/1)\/2*150 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**3 - 23539692*k**2 - 188317728*k - 376635584 = 0.\nAnswer: -4, 5884931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*z - 2*l, -z + 6*z - l = 19. Solve -a + 2*w + w = 1, -z*w + 13 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by -3588537.\nAnswer: -67\/3588537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = 49 + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert bbb (base 12) to base 11.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b93 - 8?\nAnswer: -2b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2168*s + 3456 = 2171*s. What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h. Let k be x(-2). Let u(z) = 2*z**2 + z + 2. Let n(p) = p**2 + 1. Let c(t) = 3*n(t) - u(t). Determine c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(1\/((-35)\/(-21)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -6324032 and -6324033 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 33. Calculate the common denominator of -61\/3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/(c**(-1\/3)*c))\/c)))**43\/((c**(-6)\/c)\/c*c**(-3\/4)) assuming c is positive.\nAnswer: c**(-239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245771 - 13*q - 3*q - 50*q + 245771.\nAnswer: -66*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4510)\/1230)\/(121\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 - 13.32. Let j = -4 + y. Let w = -44 - j. Which is greater: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-17)*o*o*o**(9\/5)*(o**(-8\/17)\/o)**(-7\/3) assuming o is positive.\nAnswer: o**(-2491\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7155 + 493702\/69. What is the common denominator of (1\/(-1))\/((-6)\/86) and h?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:14 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -73. Let w be (-114)\/(-9)*(4 - 1). Calculate the greatest common factor of m and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 2, x: 2}. Give prob of picking 2 k and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1911)*4 - (-5*sqrt(975) - sqrt(39)))\/((sqrt(9)\/sqrt(3)*1 - (sqrt(3) + sqrt(432)*-1))*-4).\nAnswer: -9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*u + u**2 + 16*u + 2*u**3)*(0*u**2 + 4*u**2 - 2*u**2).\nAnswer: 4*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -1021*o + 1043*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/14*(-5)\/(-5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2*w - 2 + 2) + (2 + 0 - 3)*(-2*w + 0 + 0).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 2*q, -q = 2*s + 954. Let l = s + 589. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 53 - 55 = 0. Suppose v*u = u - 9*u. Let w(d) = 0*d + d**3 - 2*d + u*d**3. Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:53 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**5 - 77319*z**4 - 37*z + 1434 wrt z.\nAnswer: -20*z**3 - 927828*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + 22. Suppose -t + 11 = -16. What is the remainder when o is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751838 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -59) + -20 - -14) + 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from yhggwywwyhbcg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42554, -84622, -126690, -168758?\n\"Answer: -42068*r - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0 - 1\/6*i**3 - 92*i + 1\/15*i**6 - 37\/2*i**2 - 14\/3*i**4 + 0*i**5. Find the second derivative of j(s) wrt s.\nAnswer: 24*s**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 58 - 88. Is 5182\/(-8)*(16 + g - 30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1317380 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 475450020 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) - (-55)\/22. Let m(i) = -5 + 5 - a - 2 - i. Calculate m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-25)\/20)\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 16) to base 12\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tooto. Give prob of sequence tot.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98847159.\nAnswer: 3, 461, 71473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -19878 bigger than 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(19) - (sqrt(19) - (2*sqrt(19) + -1))) + sqrt(95)\/sqrt(5)*6)**2.\nAnswer: -16*sqrt(19) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*d + 1768 = 320*d + 314*d for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -60 (c) 5 (d) -0.2 (e) -11562\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 181143000 to the nearest 1000000.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -370 + 582. Suppose 0 = j - 2*j + i. Suppose -3*k - k = -j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 555, -41, -1583, -4521, -9305, -16385?\n\"Answer: -75*q**3 - 23*q**2 - 2*q + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 3*o - 8. Let d(r) = -6*r**2 - 6*r + 15. Let i(j) = 3*d(j) + 5*s(j). Let u(w) = 2*w**2 + 2*w - 3. What is 3*i(z) + 5*u(z)?\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6578 by 598.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16)\/((231\/(-6))\/(-77)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:42 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746 + 225 - 595*t**3 + 594*t**3.\nAnswer: -t**3 + 971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + o + 177 = 0, 0 = 2*z - 3*z - 3*o + 45. Let i = z + -15. Suppose 202 = 3*x - h, -2*x + i + 132 = 3*h. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*m**2*p**4 - m**2 + 5086*m*p**4 + 7*m*p - 2*m - 41*p - 51 wrt p.\nAnswer: 636*m**2*p**2 + 61032*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 412*a**2 - 5373*a - 567. Give i(192).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 69045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*o - 1718 = 1347 + 719. Solve p + o*m - 12 = 40*m, 5*m - 40 = -5*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:48 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)*i\/(i*(((i*i**(-30))\/i*i*i)\/i*i*i*i*i)\/i)*i*(i*i\/(i*i\/((i**(9\/4)*i)\/i))*i*i)\/(i*i*(i\/(((i*i*i**(-1\/17))\/i)\/i))\/i) assuming i is positive.\nAnswer: i**(1577\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35\/6 - -263\/42. Let r = 251 + -255. Let o be (24\/14 - 3) + 1. What is the closest to o in r, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -90 - (70 + -111) - 58\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 16 in increasing order.\nAnswer: -2, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 - 3*p - 8. Let a(i) = 10*i**2 + 73 - 4*i - 219 + 72 + 68. Let s(g) = 2*a(g) - 3*o(g). What is s(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 16 = -4*g, -r - 2*g - 18 = 3*r. Let o = 12 - r. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)*r)\/r*r)**(-2\/13)*r\/(r**(-7)\/r)*r*r*r\/(r*r**(-1)\/r*r)*(r**7*r\/r**(-2\/9))\/(r**(-1\/3)\/(r*r**(1\/7))) assuming r is positive.\nAnswer: r**(35227\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 212 = d, 9*i + 448 = 11*i + 4*d. Calculate the lowest common multiple of i and 189.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -l - 2*i, l + i = -2*i + 29. Suppose -2 = -f + 3*k, 8 = 4*f + 4*k - 7*k. Suppose -4*g = -f*g - 10. What is the remainder when l is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 111. Let i = -178\/3 + t. Which is the biggest value? (a) 0.1 (b) i (c) 1\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of (-21 + -2510)*(-3)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxc when four letters picked without replacement from {b: 8, c: 2, s: 1, x: 5}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z. Let p(v) = 2*v**2. Let u be 5\/((-5)\/(-2))*2. Let j be (12\/2)\/(u + -2). Let c(o) = 2*o**2. Let k(d) = j*c(d) - 2*p(d). Give s(k(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.197 and 1001?\nAnswer: 1001.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/3, 0.05, 2, 13 in descending order.\nAnswer: 13, 2, 0.2, 0.05, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20798, -36996, -53194, -69392, -85590, -101788?\n\"Answer: -16198*b - 4600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1. Suppose -o - 5*o = 0. Suppose -2*h - u - 2 = o, -3*u + u - 3 = 3*h. What is the second biggest value in x, h, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/(-6) - (-1)\/6. Let c be 0\/(-1 + (m - 2)). Let k be c - -2 - (-10)\/5. Solve 0 = 6*w - k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s - 33. Determine d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 14*y = -5*o - 3, -2*o = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1, 12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - 6*y. Let g be (-72)\/(-168) - (-58)\/28. Factor -2*v**2 - g*v - 1\/2*v**y - 1.\nAnswer: -(v + 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8632 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 6*d - 2. Let o be y(7). What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r**3 + 272*r + 65*r**3 + 1 + 5 - 31*r**3 - 22*r**3 to x*r**2 + t*r**3 + l*r + y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -s + 2*q + 18, 4*s + 2*q - 188 = 0. Let p = 74 + -57. What is the remainder when s is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*v**4 + 118*v**3 + 8*v**2 - 448*v + 5 wrt v.\nAnswer: 4128*v + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280 + 568. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343 by -1.\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 6*x + 40 = 55, 6*x = 3*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5980 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 37.67?\nAnswer: -45.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/461257297?\nAnswer: 2\/461257297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804044?\nAnswer: 2, 3, 11, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8*a + 20 = 0. Let l be (12\/5)\/((-92)\/(-40) + a). Solve 16 = 2*y + 2*y - n, -2*y + 3*n + l = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12188 + (-8)\/(-48) + 61\/(-6)?\nAnswer: 2, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -453, -1196, -2237, -3570?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17769 by -5923.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j. Let i(f) = -12*f - 62. Calculate i(o) + 5*l(o).\nAnswer: 13*o - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011747 is divided by 375?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3310022 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527144 is divided by 654?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -7 - 5. Let u(m) = -m - 4. Let t be u(q). Suppose 3*a + 12 = 0, 0 = -2*n - n - 5*a - 26. Sort t, n, -3 in ascending order.\nAnswer: -3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 193 + 347)*(2 - 5*q - 2)*(-4 + 5 + 0).\nAnswer: -2255*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435256587.\nAnswer: 2435256587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 2. Suppose -16*l = -12*l - 11*l + 7. Calculate r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -517 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 35. Let u = -23.029 + 0.029. Let d = -23 - u. Which is the third biggest value? (a) w (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**7\/14 - u**3\/2 + 6*u - 4. Let s(v) be the first derivative of f(v). What is the second derivative of s(r) wrt r?\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(255\/10)*(81\/864)\/(4\/(-48)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -309*u + 299*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 9. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(55)\/sqrt(275) + 2 - (4 + 2*sqrt(405)))*-6.\nAnswer: 36 + 1602*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 466588*z**4 + 15*z + 4356?\nAnswer: 5599056*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 3666184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021601 rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -68. Solve c = 2*t + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.4 - 25. Let t = 1217\/7995 - -1\/615. Which is the third smallest value? (a) -2\/9 (b) r (c) -25 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iit when three letters picked without replacement from ttittttitttiit?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905745 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 19baaa2?\nAnswer: 19baaa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112728?\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9513*i**2*p**3 - i**2*p**2 - 9*i**2 - 1904*i*p - i + p**4 - p**3 + 3 wrt p.\nAnswer: 57078*i**2 + 24*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d + 4. Let g(j) = -7*j + 5. What is -4*g(f) + 3*z(f)?\nAnswer: 7*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 1816\nAnswer: -27\/1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from hhffuwflwwhhllfhlyhl.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 2\/(-1 - -2) + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195937414?\nAnswer: 2, 23, 1511, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -286.3033347 to 2 dps.\nAnswer: -286.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -21*w**3 - 21*w**2 + 64*w + 364. What are the prime factors of g(-11)?\nAnswer: 2, 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 11. Let s be z(0). Let c(q) = -27*q - 269 + 118 + 142 - 8*q**2. Let g(t) = -3*t**2 - 9*t - 3. Let b(y) = s*g(y) - 4*c(y). Determine b(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 4\/5, 4 in decreasing order.\nAnswer: 4, 4\/5, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 100. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45370)\/(-20940) + (-70)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194479052.662 take away -0.29?\nAnswer: 194479052.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*w + 110*w + 49*w - 59*w as y + m*w and give m.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 - 128. Solve 0 = -6*m + 11*m - q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297 a factor of 232178037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 3*v**2 - 2*v - 2. Let f be z(-3). Suppose c + f*c - 70 = 0. What is the highest common divisor of c and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2 = i, 9054*i = -5*s + 9018*i - 159 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 0*l + 4*l + (4 - l - 4)*(-4 + 3 + 3) + l - 4*l + 4*l - 64*l + 25*l - 147*l - 1 + l + 1 + (0 + 4 - 2)*(-2*l + 0 + 0) as f + c*l and give c.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 7*v**2 + 14*v - 17. Let t be k(5). Suppose -f - 4*z - 78 = -6*f, t*f = z + 44. Suppose 504 = 18*p - f*p. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 (base 12) in base 8?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.78824 years in decades?\nAnswer: 0.478824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/11)\/u*u*u**(-2\/45)*u assuming u is positive.\nAnswer: u**(608\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 29842540 to the nearest 100000.\nAnswer: 29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17743 - 0.07743. Let x = -145.22 + 0.22. Do d and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 20. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 7:35 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4739, 4694, 4635, 4562?\n\"Answer: -7*q**2 - 24*q + 4770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/13 - 1364*v**4\/13 - 14798*v**3\/13 - 23940*v**2\/13 + 145368*v\/13 + 289872\/13 = 0.\nAnswer: -671, -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 3:59 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288 - 850*s**2 + 4348*s**2 - 1781 with respect to s.\nAnswer: 6996*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - 0 - (12 + -15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 4. Let k be l(4). Solve 0 = -5*i + 9 - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 0 + -20 + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - q**2. Let k be w(-1). Suppose 4*d - 3*d - 4*t = 10, 4*d = -5*t - k. Suppose d*i = -2*i. What is the smallest value in 4, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*p - 3*h, -5*h = -3*p + 18 + 12. Suppose 0*n = 5*n - p. Suppose 3*u + o = 67, 61 = n*u + o - 6*o. What is the remainder when 64 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21243.47l?\nAnswer: 21243470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 143*o. Let x(q) = 72*q**2 - 7*q. Give f(x(t)).\nAnswer: 10296*t**2 - 1001*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66566589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 + a**3 + 0*a**3)*((0 + 1 + 2)*(32 - 10 + 12) + 4 - 2 + 0) - 2*a**3 - 16 + a**3 + 3*a**3 in the form y + u*a + q*a**3 + z*a**2 and give q.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17467264 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2476*r**2 + 104*r + 16. Let s(a) = 2473*a**2 + 104*a + 18. Let x(f) = 12*j(f) - 11*s(f). What is the second derivative of x(i) wrt i?\nAnswer: 5018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108961.\nAnswer: 108961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h + 8 = 0. Let y = 58 - h. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229\/3 + -15340\/201. Let b = 56\/737 + k. What is the second biggest value in -3, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20214611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h. Let j(o) = 42*o. Let b(n) = 208*n. Let u(a) = 3*b(a) - 16*j(a). Give u(k(x)).\nAnswer: 192*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 times 1.3\nAnswer: 8.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11*0.0103\nAnswer: -0.1133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jjiiiiiiijjjjiijijj?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5874\/35683 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 8*s + 3. Let p(b) = -4*b + 4. Let g(t) = -5*t + 3. Calculate s*p(w) - 4*g(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l**3 + 8 - 8)*(0*l - l**2 + 0*l)*(-3 + 2 + 4).\nAnswer: 45*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 42623*v + 68 = -42624*v, -4*v + 76 = -5*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (201\/6)\/((9 + -2)\/70). What is f rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = 5. Suppose r = -5*x + 33, 2*r + 18 = 4*x - 0*r. What is the smallest common multiple of (-2)\/h + 424\/40 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646886 is divided by 7435?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**4\/6 - f**3\/6 + f**2. Let u be -4*(-3)\/24*-4. Give i(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7697.388 millilitres in litres?\nAnswer: 7.697388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1499482*u**4 + 1003417?\nAnswer: 5997928*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/4)*(k*k\/(k*k*k**(-7)))\/k*k)\/(k**(-1\/7)\/(k\/(k*k**(-11)\/k*k*k*k*k))) assuming k is positive.\nAnswer: k**(459\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-2\/25))\/o*o)\/(o**(-6)*o))\/((o**17\/o)\/(o\/o**(5\/4))) assuming o is positive.\nAnswer: o**(-1033\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*a + 4*v + 4 = -347*a - 36, -5*a = 4*v + 80 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*i - 412*i + 1651*i - 5 - 414*i - 416*i.\nAnswer: -6*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-15) - (-6919)\/255. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107030 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(252) + sqrt(252)*-2 + sqrt(252)))\/((sqrt(80)\/sqrt(4))\/sqrt(5)))\/(sqrt(2304) + -2*-3*sqrt(2304)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 + 2110110?\nAnswer: 2102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*g - g + j, -2*g = j - 1. Suppose -2*a = g*a - 75. Suppose 0 = 2*p - a - 7. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 - 51 + 51 - 4*t + (4*t - 4*t + t)*(2 - 2 + t) + 12*t**2 + 5*t + 3 - 1 - 8*t**2.\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/213894 and -46\/2775?\nAnswer: 197851950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7777 and 2525.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.26 - 586.74. Let w = p + 567. Which is bigger: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2145377 is divided by 332?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*p, -2*g - 2*p = -6*g. Suppose g*j = -5*j + y - 21, -5*j = 4*y + 16. List the prime factors of (-4 + 8)\/j + (-106)\/(-1).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2315*o**4 - 6*o**3 - 3127*o**2 + 6*o - 30. Let f(g) = g**3 + 3*g**2 - g + 5. Let d(l) = 6*f(l) + m(l). Find the third derivative of d(h) wrt h.\nAnswer: -55560*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, p: 12, k: 1}. Give prob of sequence plk.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5999 + -5997. Solve -5*p = l*h, p - 14 = 4*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*-9*6\/9. Solve 5*p + b = -3, 0 = -3*p + b - 3*b - h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 28*g**4 + 93948*g**3 + 91866140*g**2 + 20912787300*g + 5967585000 = 0.\nAnswer: -1515, -325, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 143472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 129090?\nAnswer: -51636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 1\/53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**2 + 34*f + 12. Let x(n) = -n**2 - n - 1. Let k(u) = l(u) + 12*x(u). Solve k(z) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:20 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*h**3 + 208667*h**2 + 72610948*h wrt h?\nAnswer: -1056*h + 417334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 11*s - 8. Let t be b(10). Let v(x) = x - t*x + 0*x. Let h(a) = -14*a**2. What is h(v(z))?\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -272*y**3 + y**2 + 5*y + 5. Does 24 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2520\/(-3960) + 463\/693.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 9*d**2 - 10*d + 15. Let u be s(8). Which is the third smallest value? (a) 12 (b) u (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6903072*u**4 + 36795056 wrt u.\nAnswer: -27612288*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/5 (b) -0.03 (c) -0.034 (d) 2\/11 (e) -0.07 (f) 0.2 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16609*u - 2925*u + 7351*u - 953 + 953 + u**2.\nAnswer: u**2 + 21035*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 + 170 + (55 - 1) + -4 + 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:55 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.1 - -14.1. Let j = -15 + 14.85. Sort j, c, 4 in increasing order.\nAnswer: c, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 7*d - 5. Let j be p(8). Suppose n = -j*n + 448. Let f = n + -77. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9105, -9073, -9021, -8949, -8857, -8745?\n\"Answer: 10*z**2 + 2*z - 9117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*h**3*s**2 + h**3*s - h**2*t**3 - 6979*h**2*t**2 - 249*h*s**2*t**3 - 16*s**2*t**2 + 5*s wrt s.\nAnswer: 74*h**3 - 498*h*t**3 - 32*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 7. Let n(o) = 3 - 3*o + 0 - 14. Let u(b) = -7*a(b) + 5*n(b). Calculate u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, k: 4, r: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35026 + 55066. List the prime factors of f.\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 5*p - 10, -3*c - 6 - 12 = -5*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3*(-189)\/84. Suppose c = -n*c + 8. Suppose x - 1 = 0, 2*t + c*x = x + 85. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 14*x - 67. Let d be i(4). Suppose d*k + 2665 = 5*u, -9*u - k - 1609 = -12*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-2)*(-8)\/16 - 2. Let g be ((-7)\/a)\/7*3. Let t = 3.7 - 4. What is the closest to g in t, -1\/9, -0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + -3*-2*sqrt(2448)))**2.\nAnswer: 25920*sqrt(17) + 3173508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (3 + -2 - 2) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 217 - c + 431 - 68.\nAnswer: 4*c + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 83 - 63 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) + 1*1*sqrt(1728))*-1)\/(sqrt(72)\/(sqrt(32)\/sqrt(4)) - (sqrt(729) - 1*sqrt(729))).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**2 - 5*w - 17. Is f(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*t + 15*t**2 + 33*t**3 + 22*t**2 - 37*t - 13*t**2 + 3*t**4.\nAnswer: 3*t*(t - 1)*(t + 2)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16248491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 3. Let m be i(-1). Suppose -d - m*d = -3. Is (-2)\/(-8)*-394*(-11 + d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1190620 and 17\/944.\nAnswer: 4762480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and 1208.\nAnswer: 2295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 198184222 to the power of 1\/3, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 5*c**2 + 9 + 116*c**3 - 5*c**2 + 36.\nAnswer: 116*c**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i - i - 3*i + (1 - 1 - i)*(0 + 2 + 0).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2450 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 2*z + 57, 0 = 2490*b - 2495*b + 4*z + 69 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 91a - -a?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 324537.\nAnswer: -37\/108179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:51 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 4*u + u - u**2 + 4*u**2.\nAnswer: 3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**3\/5 - 24*h**2\/5 + 99*h\/5 = 0?\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82172.81nm in meters?\nAnswer: 0.00008217281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(61\/(5856\/(-4560)))\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -171123760 rounded to the nearest 100000?\nAnswer: -171100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 642*a**3 - 487*a**2?\nAnswer: 3852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1435350 - 1024?\nAnswer: 1434323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**3)\/x)\/x**(-3\/7))\/(x\/(x\/(x\/(x\/(x*x**(-2\/3))))))**(-1\/25))\/(x**(-2)\/x**(2\/9)*(x**(-2\/3))**(2\/13)) assuming x is positive.\nAnswer: x**(-4777\/20475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -11\/2*v**2 + 4*v + 11. Find the first derivative of o(y) wrt y.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:02 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0102 rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 9, q: 2, z: 2}. Give prob of picking 1 q, 1 y, and 1 z.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -40, -72350, -18 in decreasing order.\nAnswer: -4, -18, -40, -72350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u - 3*u)*(1 - 4 + 2) + 6*u + 3*u + 6*u as n + y*u and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x - 4. Let b(c) = c**2 - c. Let m(p) = -b(p) + q(p). Let u be m(-2). Suppose -4*a + 4 = -u*a. What is the third biggest value in 0.2, 0.04, a?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**8\/26880 + l**7\/2520 + l**6\/576 + l**5\/240 - l**4\/6 - 4*l. Let t(z) be the third derivative of p(z). Factor t(c).\nAnswer: (c + 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1325.368 and -36?\nAnswer: 1289.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 6\/11 (b) 1 (c) 0.5017 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - -4*sqrt(81) - sqrt(9))\/(sqrt(192)\/sqrt(4)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 449692.4 nanometers?\nAnswer: 0.0000004496924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459675?\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -172, 0.4, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6799 divide 1483869655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**13*i*i\/i**(-6)*i**(2\/9) assuming i is positive.\nAnswer: i**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -22. What are the prime factors of (-53 + 2 + l)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o**2 - 5*o**2)*(0*o + 0*o + 2*o**3) + 46*o**5 - 569*o**3 + 569*o**3 + (o**3 + 0*o**2 + 0*o**2)*(-5 + 5 + 7*o**2).\nAnswer: 51*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58704124*h**3*r**5 + 2*h**3*r + 31*h**2*r + 99*h*r - 213*r wrt r.\nAnswer: 1174082480*h**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 - 922*z**4 - 5568*z**3 - 54*z**2 + 50031*z + 75168 = 0. Calculate z.\nAnswer: -3, 3, 928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 12*k + 11. Let i be x(5). Put 3, 2, i in decreasing order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206582361*p**3*v + 122*p**2*v - 3*p**2 + 2*p*v + 2*v - 856 wrt p.\nAnswer: 1239494166*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2 - 2 + k**2 - 4*k. Suppose 2*o = -11 + 19. What is c(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y - 11*y + 21*y - 2 + 2.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 58 + s)*(-14*s + 14*s - 8*s**2)*(-1 + 0 - 1) + 8*s**3 + 8*s**3 - 15*s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 47*y + 10*y + 2*y**2 - 35*y**3.\nAnswer: -35*y**3 - y**2 + 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 5. Let x be c(3). Let n = x + 142. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1884 + -1725. Is 0 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 18*x + 119. Calculate d(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y. Let d(m) = -2432*m**2. What is d(f(l))?\nAnswer: -60800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/8 and 16\/1168567.\nAnswer: 9348536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 96. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 5 (c) -8 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 - 6*i + 9. Let v be a(-7). Suppose -v*l = -3*l - 40. Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -8 + -6 + (-1 + 3 - 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c + 3. Solve 0 = -n + c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 21*v - 38. Let f be 18\/(-4)*(-40)\/12. What is the lowest common multiple of p(f) and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f + 5. Let m = 8 - 7.5. Let c = -0.9 + 1.3. What is the nearest to c in m, -5, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1611)\/(-138) + (-4239)\/584982.\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*x - x + 11*x)*(-4*x**2 + 3*x**2 + 0*x**2)*(-6*x + x - 2*x) as b*x**4 + u*x**2 + y + h*x**3 + i*x and give b.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 786 - 1?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 27*i**2 + 24*i - 52. Let y be u(-26). Let d(w) be the third derivative of 0*w**4 - w**3 - 1\/60*w**5 + 0 + 2*w**2 + 0*w. Determine d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/730 and 85\/438?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32634 or 28700?\nAnswer: 28700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/70*180\/36*(-119)\/34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7528884 is divided by 409.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 108*b - 2*b)*(0 - 2*b + 0)*(4 + 1 - 2).\nAnswer: 696*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*k + 62, 2*g + k + 310 = 7*g. Which is the closest to 2? (a) 0.01 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 3*x**3 - 1 - 50*x**2 - 1 - 2*x**3.\nAnswer: x**3 - 52*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1583*d - 75974. Give v(48).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m - 3*m)*(0 + 3 + 0)*(0 + m + 1 - 2) to z*m + j + o*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5465 + 474\nAnswer: 5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.44 - -17.74. Let r be 8\/36 - 12\/(-189). What is the closest to r in 5, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 90 = 5*l, -l + 3 = -3*w - 1. Let k = 3 + l. Calculate the smallest common multiple of k and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 776029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -bc2b?\nAnswer: bc1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/60 + c**3\/2 + c**2. Let g(k) be the first derivative of a(k). Let z(o) = o**2. Give z(g(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13560730 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3)*(-4*r - 5*r - 8*r) + (5 - 2 - 1)*(0 + 0 + 3*r).\nAnswer: -62*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 22020*j - 132163. What is c(6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-4)*4\/32*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3))**(3\/5)\/(h\/h**(-1\/3))**46)\/(((h*h**4)\/(h**(-4)*h))\/(h**(1\/3)\/h**(-1))) assuming h is positive.\nAnswer: h**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 5*s**2 + 5*s - 1. Let u be a(4). Suppose 3*l = u*t + 147, -3*t = -l + 55 - 16. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7909\/72 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 436*d**3 + 6*d**2 - 4*d - 6. Let g be t(-5). Let w = 27336 + g. Round w to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 2, l: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 26695598*h + 53391204.\nAnswer: -2*(h - 2)*(h + 13347801)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/1597 and 5\/9.\nAnswer: 14373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1650)\/2550)\/(5\/(-85))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -7. Are -2\/47 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -257 - -256.5. Let o = -3452444 - -3452444.4999997. Let k = z + o. Round k to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252800 rounded to the nearest ten thousand?\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 - j - 3. Suppose -4*s = -2*s. Suppose -2*x + 0*x + 4 = s. Is b(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 450, 347, 166, -99, -454, -905, -1458, -2119?\n\"Answer: -s**3 - 33*s**2 + 3*s + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(99) - sqrt(11))**2 - sqrt(11)) + sqrt(704)*-2.\nAnswer: -21*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**4 + 5*r**5 - 3*r**5 + 5*r**5 - r**5 + (0*r + r + r)*(0*r**4 - 3*r**4 + 4*r**4).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-5*u**2 + 2*u**2 + u**2) + (0*u + 2*u + 0*u)*(u - u + 2*u) + 0*u**2 - u**2 - u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441921174 to the nearest integer?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 331.678 + -0.178. Let a = q - 332. What is the biggest value in 0.2, a, 31\/5?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 6. Suppose 2*x = k - 0*k - 5, 12 = -4*x. Let y be 0*(1 + -2)\/k. Solve y*r + s = -2*r + 3*q, -16 = 4*r - 3*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*y - 13 + 29 = 109 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -25.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/35*(-1)\/(-2)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**8\/50400 + b**7\/12600 - b**5\/30 - 7*b**2. Let n(j) be the third derivative of h(j). Factor n(v).\nAnswer: 2*v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 1962421\nAnswer: -13736947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-2460)\/(-175) + 1).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 59 = 51. Calculate the remainder when 21 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgzzzzzzzzzz. What is prob of sequence gzg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from {s: 2, g: 2, x: 2, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 15) to base 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o - 21. Let d(n) = -5*n + 11. Let w(h) = -11*d(h) - 6*i(h). Let t be w(-3). Suppose 8 = -2*z + t*q + 22, 16 = -4*q. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*k = 262 - 257, 2*d + 2*k = -2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1259)\/(-21403))\/(((-2)\/(-16))\/(-1))?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.567 and 1064.\nAnswer: -603.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 522*t**4 + 1227*t**2 wrt t?\nAnswer: 12528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -187, -256, -341, -448, -583, -752?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, i: 3}. What is prob of sequence pi?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x*x*x*(x*x**(1\/4))\/x*(x**(1\/2)*x)**15)**(1\/7))**(-2\/7) assuming x is positive.\nAnswer: x**(-87\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 11*s - 7. Let l be m(10). Solve 5*r = -l*r - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 752*x + 5197. Calculate j(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -31022\nAnswer: -3\/31022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 598859941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) 1\/4 (c) 0.9 (d) 0.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3882 and 41394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28351059 by -5.\nAnswer: 28351059\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6299 - 6296. Solve 21 = c*a - 2*n, -38*n + 6 = -40*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.43 - 0.31. Let t = -0.08 - s. Let i be 4\/(-30) + ((-43794)\/810 - -54). Which is the nearest to 2? (a) i (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 23*k. Let w(d) = -2*d**2 + 15*d. Let x(n) = -5*c(n) - 8*w(n). Let z be x(6). Solve -v = -z*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -31. Let f be 4\/18 + (-1168)\/o. Suppose -r + f = 41. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9575.997 tonnes?\nAnswer: 9575997000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18492, -18034, -17578, -17124?\n\"Answer: -z**2 + 461*z - 18952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 499 + -495. Solve 4 = 2*k - l, 8*k = 4*k - x*l + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37908*k - k**2 + 75655*k - 37850*k.\nAnswer: -k**2 - 103*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8067 + 8072. Let u(s) be the third derivative of 0*s**3 + 0*s**4 + 0*s + 0 + 7*s**2 + 1\/15*s**h. Factor u(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2, 9\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -27*v**3 - 2*v**2 + 3*v - 4. Let u be f(-4). Let d = -6783\/4 + u. Let c = -75 + 837\/11. What is the common denominator of d and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35932 by 8983.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 + 2*l + 11. Is s(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 22 = -19*d + 16*d, 2*v - 4 = -2*d. Factor d*s - 17*s - 7*s + 2*s**2 - 22.\nAnswer: 2*(s - 11)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from zzzzqzzzzzqqzzqzzzz.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 + 35 = 0. Find the second derivative of -y*o**2 - 6*o + 8*o - 8*o wrt o.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4175, 4182, 4189, 4196?\nAnswer: 4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.03, 2, -9, 12, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48866 (base 9) to base 14.\nAnswer: bd3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 118029259 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {q: 3, i: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73688 = -5318*h + 1286*h + 293224 for h.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/24 - (-57)\/2. Let z = 16 + u. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2200 + -2200.2. Sort -0.8, b, -4, 3\/7 in decreasing order.\nAnswer: 3\/7, b, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -23. Suppose -2*t + 44 = f. Let w be (t\/30)\/((-2)\/10). Which is the nearest to -1? (a) w (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 29 = 5*j, 4*j - 30 = 5*x - 0*x. Let u be 57\/2*x\/(-3). Solve 5*a + 3*n - u = 3, 5*n = 5*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = 4*d - 4*k + 101, 0 = 2*d - 4*k - 24 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - (0 - -5)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68968.\nAnswer: 2, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 5:56 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 41. Suppose 0 = y + 5*n - 39, 2*n + 171 = 4*y - 29. Let t = k + y. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207312 and 1344?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-3)*3\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1657 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 7*u + 8 + 13 = -5*f, -84*u - 2*f = 90 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28220 - 27154. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 4*f - 1. Does 29 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3030.8187 - -3031. What is c rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(10\/35*140\/12).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 11:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -46. Let s be ((-2)\/3)\/(6\/(-45)). Suppose v - 4*h + q*h = 180, -s*v + 905 = 4*h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 238?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 66. Let g = 4 - 4.3. Let z be (4\/(-10))\/((-3)\/(-5)). Put j, z, g in ascending order.\nAnswer: j, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6228*j**4 + 3*j**3 - 146*j**2 - 74*j + 2?\nAnswer: 149472*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (146 - (-111960)\/(-311))*1*2\/4?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 + 34*v**3 - 18*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2 - l - 5*l**3 + 6*l + 8 - 8 - 9. Let m(p) = p**3 - p + 2. Calculate -2*h(w) - 11*m(w).\nAnswer: -w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4487 is divided by 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1769*i - 83168. Give d(47).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16*j**3 - 23*j + 7. Let x = 22 + -20. Let t(i) = -5*i**3 + 8*i - 2. Let z(d) = x*n(d) + 7*t(d). What is the second derivative of z(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a + 28*a + 7 + 97. Calculate the remainder when 285 is divided by b(-8).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, -8\/5.\nAnswer: -8\/5, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2233, 2224, 2215, 2206?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4405501 rounded to the nearest 1000?\nAnswer: 4406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11866693.\nAnswer: 11866693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.665 - -13.4. What is m rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1396\/(-17450))\/(2 - 42\/20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 7}. Give prob of picking 4 i.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2929.4282 - 0.4282. Let k = -2916.49 + u. Let r = k - -0.39. Round r to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391, 1462, 1519, 1556, 1567?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/128 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10371, -17788, -25205, -32622, -40039, -47456?\n\"Answer: -7417*t - 2954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 432553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from aattfgs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 84, 183, 322, 501?\n\"Answer: 20*c**2 - c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*g*t - 4644*g + 682160*t wrt g.\nAnswer: -57*t - 4644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduududududd. Give prob of sequence dd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1972961\/96 - -20552. What is the common denominator of -85\/712 and b?\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Let z(b) = -6383*b. Calculate q(z(g)).\nAnswer: 12766*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 4*t = 2*c - 1394, 825 = 3*t + 5*c. What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1224)*4)\/(sqrt(72)*4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -231717729 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/2, 2\/3, -2\/5, 180.1?\nAnswer: 180.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 636\/28 + (-4)\/(-14). Suppose 2*k + 4*t - v = -k, -2*t - 2 = 0. Solve -2*c - c = -k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150956, 144828, 134624, 120350, 102012, 79616?\nAnswer: 53168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1154.\nAnswer: 3\/1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -35*o**3 + 4*o**2 + 4*o. Suppose -6 = -34*w + 40*w. Calculate the remainder when 277 is divided by n(w).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301.8 - 302. Is r < -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 634513180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -382, 211, 1834, 5003, 10234?\n\"Answer: 86*i**3 - i**2 - 6*i - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*r - 126*r + 4320 = 0 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Suppose -r - 26 = -2*l - 0*r, -3*r + 62 = 4*l. What is the remainder when l is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 5*w**2 - 2*w**2. Let g(u) = -u - 21. Let i(b) be the third derivative of b**3\/2 - 2*b**2. Let k(n) = -3*g(n) - 21*i(n). Determine z(k(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1983.91 rounded to the nearest ten?\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3192, -25444, -85806, -203322, -397036, -685992, -1089234?\n\"Answer: -3174*v**3 - 11*v**2 - v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 3. Let o = 11 - 8. Let l(x) = x + 1. Let d(s) = o*l(s) + f(s). Let a(c) = -c. Let m(p) = 2*p. Let g(z) = 13*a(z) + 6*m(z). Determine d(g(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let z = -5.0601 + 0.0601. What is the closest to 0 in b, z, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = l + 67, -4*l = d - 3*l - 21. Let r(x) = -x - 24. Let t be r(-11). Let u = d + t. What is the remainder when 24 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862921943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 131290.\nAnswer: 131290.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -18*c**2 - 25*c - 7. Give p(-4).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63626 + 5344459\/84. What is the common denominator of -145\/12 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 17*f**2 + 14*f + 224. Give p(-17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 287976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -3*r**2 + 0*r**3 + 11*r + 1\/8*r**4 + 0. Let u(b) = b**2 + 8*b**2 + 0*b**2. Calculate u(q(t)).\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3 + 17*b + 4 + 3*b - 18*b**2 + 0*b**3 - b**3. Let l be x(-19). Let d(c) = -64*c - 15. Is d(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*b - 3*n, -b = -0*b + 3*n - 21. Calculate the least common multiple of 11 and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**39)\/j*j**(-1\/41))\/(j\/j**18)**(-31) assuming j is positive.\nAnswer: j**(-19968\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwqn when four letters picked without replacement from psvwpsnspsppspvwpnqv.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3576533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + ((-1 + sqrt(1100) + 1)*1 - (5 + -1 + sqrt(1100) - (-5 + 1 + sqrt(1100) - sqrt(1100))))*5)*3)**2.\nAnswer: 12996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -3194?\nAnswer: -3190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -481, -2, -3, 20 in ascending order.\nAnswer: -481, -3, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(19))*-5 + 0).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i**(-2)*i))\/((i\/(i**(-1\/2)\/i))\/i))\/(i*i*i**(-8)*i**3\/i))**(24\/11) assuming i is positive.\nAnswer: i**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73953769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*k - 87310*k**3 - 817*k.\nAnswer: -87310*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.8647 to 1 decimal place.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(175) + sqrt(175)*3 - sqrt(175))*1 - (-6*-1*sqrt(175) + sqrt(175) + sqrt(175) + 2 + -2))**2.\nAnswer: 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/10*15\/(-2). Let w(p) = 127*p**2 - 6*p - 6. Let x be w(-1). Let f = s + x. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3 - 10902*m**2 + 38963612*m = 0.\nAnswer: -7913, 0, 2462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let i(y) = -7*y - 13*y + 21*y + 6. Let c be i(-3). Solve -6 = 2*t - c*d, 0 = t + t + 2*d - m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 7 - (0 - 5). Suppose -226*w + 225*w - b = 0. Let r = 6.3 + -6. What is the second biggest value in r, w, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27 + 11)\/(-4) + (-3)\/(-1). Let s = -44 - -89. Suppose 0 = v*t + s - 325. Is t a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0, -51, 13\/7, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 7*u - 2*u - 18, -2*u + 8 = 0. Let d be -3 + 2 + (-2)\/r. Solve d = -y - 4*y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 235\/3. Suppose 4*y = 2*q, 2*y - 4*y - 3*q = -16. Solve b*n - 1\/3 - 1\/3*n**y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 5:26 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191770 is divided by 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 133266 divided by -26\nAnswer: -66633\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (0 + -1)\/((-6)\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3\/2 - 2338197*p**2\/2 + 18705288*p - 74820768 = 0. What is p?\nAnswer: 8, 779383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 58. What is the third derivative of 8*f**3 + n - 5 + 16*f**3 - 8*f**2 wrt f?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-4)*(-156)\/2025 and 41\/33?\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -531 by -9.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 - g**3 - g - 51 + 3*g + 53 - g**2 to k*g**3 + f + p*g**2 + h*g + y*g**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18312 and 504.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 23*p - 27. Let y be g(5). Suppose -w = -5*w - y. Calculate the common denominator of 23\/5 and (-4*(-12)\/(-40))\/(w\/(-70)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikix when four letters picked without replacement from aiiiaixixiaiiiikikia?\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 1. Let u be s(-2). Let x(i) = 6 - i + 0*i - 1. Let y be x(u). Put -2, y, 0 in ascending order.\nAnswer: y, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11573*v - 277668. Determine l(-24).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aywa when four letters picked without replacement from {w: 2, a: 6, y: 7}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 58*r**2 + 132. Calculate the remainder when 395 is divided by a(58).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59496 is divided by 58576.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 5 + -16 + 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -473648, -947302, -1420964, -1894634, -2368312?\n\"Answer: -4*n**2 - 473642*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-125)\/2)\/((-2)\/28). Suppose 2*i + 2*t = -f + 2401, 0 = i + 4*t - 778. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 27*f + 319. Let k be a(-12). Sort 5, -50, k in decreasing order.\nAnswer: 5, k, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0503 to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = -v, 0 = 4*u - 8*u + 4*v + 8. Suppose 2*p = -o + 9, -6*p - 3*o - 9 = -9*p. Let w = p + u. Solve -j = -0*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7040)\/(-165)*90\/80.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-5) - (-2)\/(-5). Let w(f) = 5*f - 2 - 50*f + 44*f. Determine w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12456504 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -715 + 574 - (-2 + 2 + 0 - (-7 - -8))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -2\/123?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738602.739ns to weeks.\nAnswer: 0.0000000012212346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - g - 3. Let l be n(3). Let h be l - (-2 + 5) - 34. Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 1441282.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3408)\/192)\/((-7)\/(-56)))\/(4\/(-2)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39647132 to the power of 1\/2, to the nearest integer?\nAnswer: 6297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4633*w**4 - 9369*w**4 + 4677*w**4 + 302 wrt w?\nAnswer: -236*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.48323m in centimeters?\nAnswer: 8948.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46 and -71.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-294)\/343*(-14)\/4. Suppose -g*t = -4*p - p - 17236, 3*t = -3*p + 17196. Is t 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 hhqrhrhhaaqhhhqr. Give prob of sequence ra.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*r - r. Suppose 0 = -j + 5*j - 16. Solve 3*f**j + 0*f**r - 2*f**2 - f**4 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 - 295*m**2\/7 - 602*m - 560.\nAnswer: -(m + 1)*(m + 14)*(m + 280)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/9 - 191\/99. What is the third biggest value in 4, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4194 - -0.0806. What is the third biggest value in -27, u, -0.03, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(320) - sqrt(320)*2)\/sqrt(10))**2*5 + -2 + -3 + 0.\nAnswer: 80*sqrt(2) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*x - 25, 5*x + 0*x - 41 = w. Suppose 0 = 6*q - x*q + 6. Which is the second biggest value? (a) -0.5 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -18200.\nAnswer: -145600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 10.2, -2, 1\/18, -4?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/10, 91, 1\/4, -1\/4, 1\/5, -2\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -52. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 2\/19, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -7*n**5\/5 - 19*n**4\/6 + 4*n**3\/3 + 5624*n**2. Find o such that l(o) = 0.\nAnswer: -1, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304922643.\nAnswer: 3, 2971, 34211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o**3 + 4116*o**2 - 4116*o**2.\nAnswer: -29*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4965870 divided by -2482935.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2733736325 to the nearest integer?\nAnswer: 52285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 + 13*t to f + c*t and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from uxpgwwuwzgzugugzwgz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2197073, 2197029, 2196955, 2196851, 2196717, 2196553, 2196359?\n\"Answer: -15*c**2 + c + 2197087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, and 2 n when four letters picked without replacement from {c: 5, n: 2, o: 4, i: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*n**2 + 6693*n**3 + 2 - 13370*n**3 - 4 + 6682*n**3 to i*n**2 + f*n**3 + q*n + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + p + 6*p - 9*p + 10*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -649, 3, -17, 0, -34.\nAnswer: -649, -34, -17, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 976913579 to the nearest integer?\nAnswer: 31256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2. Let k(d) be the second derivative of 0*d**3 + 0 + 5*d - d**2 - 1\/24*d**4. Let i(m) be the first derivative of k(m). Determine c(i(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - 16\/(-10). Suppose -375 = -3*f + 253 + 632. Suppose -3*z + c*g = -333 - f, -g + 753 = 3*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451095.8 rounded to the nearest one hundred?\nAnswer: -451100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 13*y + 12. Let m be a(14). Does 2 divide ((-56)\/70)\/(m\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 172?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.3 + 74. Let t = -7 - -3. Which is the second smallest value? (a) -3 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117537 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3 + 3)*(0*y - 5*y + 4*y) + (-y - 2*y + 2*y)*(y + 0*y - 3*y) - 3*y + y**2 + 3*y + 0*y**2 + 2*y**2 - y**2 + (0 - 2 + 0)*(0*y**2 + y**2 - 3*y**2).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*r - 13, 3*z + 8 = r. Let b(a) = -7*a**2 + 4*a - 2. Let m(y) = 6*y**2 - 3*y + 2. Calculate z*b(x) - 4*m(x).\nAnswer: -3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6281 and -2?\nAnswer: -12562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**2 + 0 + 9\/4*x**4 - 44*x + 0*x**3. Let y(v) = 3*v. Determine w(y(f)).\nAnswer: 243*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 482.3 - 456. Let z = 31 - n. Let r = z - 4.4. Which is the closest to 0? (a) r (b) -3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a = 43*a - 3756. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 2:10 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -15*m**2 + 0*m**4 + 26 - m**5 + 0*m + 35\/3*m**3. Factor h(s).\nAnswer: -5*s*(s - 2)*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/2, -0.18, -1\/9, 9\/5, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 + -109. Suppose -9*r = -x - 440. Calculate the highest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let x(f) = 12*f + 1. Let m be -1 - (8\/7)\/(12\/42). Let c(u) = 12*u + 1. Let y(k) = m*x(k) + 4*c(k). Give y(l(o)).\nAnswer: 24*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 - 5. Suppose -5*d + 82 = 2. Let j be 1 - ((-22)\/d + 2). Which is the nearest to 0.2? (a) l (b) -1\/8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14391269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1801 and -49\/5.\nAnswer: 9005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(3\/20)\/o)*o**(-16) assuming o is positive.\nAnswer: o**(-283\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c - c)*(26 + 9 + 41)*(-6*c + c + 4*c)*(-15 - 18*c**2 + 11 + 5).\nAnswer: -4104*c**4 + 228*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.96 + 0.93. Let q = 0.03 + o. What is the closest to -1 in q, 3\/8, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slwsfkflfllwsxlxwxfx. What is prob of sequence wssw?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178771224?\nAnswer: 2, 3, 967, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m - 296 + 333 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 14. What is the tens digit of s(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -18 - 8 - 4 - (-13 + 3).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 + 460680*u**2 - 49*u - 22573320 = 0. Calculate u.\nAnswer: -460680, -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2 + 12082*x + 432360 = 0?\nAnswer: -6005, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -8*i + 203. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**3 + 12*n**2 + 32*n. Let o(y) = y**3 + 2*y. Let z(d) = -4*o(d) - s(d). Factor z(w).\nAnswer: 4*w*(w - 5)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - 4*t)*((3 + 2 - 6)*(0 - 2 + 0) + (2 - 7 + 2)*(-6 - 1 - 5))*(-13*t + 2*t + 5*t).\nAnswer: 228*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4216 and 10064.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 32, 82, 152, 242, 352, 482?\n\"Answer: 10*l**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.175*-45\nAnswer: -7.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117) + sqrt(117)*-1*1 + (sqrt(117) - (sqrt(117) + -1*sqrt(117)*-1)))\/((sqrt(9)*2 + sqrt(9))*1*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 5. Let l(b) = -b + 8. Let m be l(7). Let i(k) = -1. Let p(r) = m*i(r) + g(r). Determine p(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/5, -6\/5, -4, -1\/4, -1, 1\/3 in descending order.\nAnswer: 14\/5, 1\/3, -1\/4, -1, -6\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 178 = 2*l, 2*u - 61*l - 68*l - 158 = -117*l - 56 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/15 (b) -5 (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2154643\/15 - -143645. Determine h so that 2\/15*h**2 + f + 4\/3*h = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1333?\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:26 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2707?\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -39*v - 141. Let b be (-85)\/4 + 90\/(-120). Is m(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -905, -894, -881, -866?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzr when three letters picked without replacement from kkkzvvvvvvkkjkvvkrrk.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -81, 92, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128251423*b**3*m**3 - 2*b*m**3 + 113*m**3 - 163*m**2 - 8313 with respect to b.\nAnswer: -384754269*b**2*m**3 - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 837, 1490, 3223, 6564, 12041, 20182, 31515?\nAnswer: 46568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 10*c**2 + 25*c + 1. Suppose 4*x + 24*f - 19*f + 63 = 0, 4*x + 3*f + 57 = 0. What is g(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3 + (-252)\/(-27). Solve j = -q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 - (1 + -2)\/((-10)\/20). Suppose 8*z - n*z = 3. Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -57*w**2 - 576*w + 3211. What is z(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -99*y**8\/56 - 1186*y**7\/105 - 887*y**6\/30 - 196*y**5\/5 - 289*y**4\/12 + 2*y**3\/3 + 1115*y**2. Find b such that q(b) = 0.\nAnswer: -1, 2\/297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.1, 0.13, -1\/12, 10?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 5220*s + 5223.\nAnswer: -3*(s - 1741)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 247.05112 and -1.6001.\nAnswer: 245.45102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 69\/19 (b) -3 (c) -0.05 (d) -1\/10 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - t**5 + 3*t**3 - 3*t**5 + t**5 + 3*t**5 + (-2*t**3 - 3*t**3 + 4*t**3)*(-3*t**2 + t**2 + t**2) - 3*t**5 + 0*t + 0*t.\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.7 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1361716 + -0.2361716. Let u be 12\/(-13) + 1 + 0. What is the closest to u in -2\/9, b, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15abb0c (base 13) in base 10?\nAnswer: -6994922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9412.207 micrograms in kilograms?\nAnswer: 0.000009412207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-2*k**2 + k**2 - k**2) + 12*k**2 - 9 + 9 as r*k + c*k**2 + g and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 6\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.225 - -50.775. Let u = i - 51.0037. Round u to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6883*r**2 + 1232*r**2 + 11692*r**2 + 4970*r**2 + 7691*r**2 as x + i*r + z*r**2 and give z.\nAnswer: 18702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5370*x + 293. Let i(p) = p**2. Give g(i(c)).\nAnswer: 5370*c**2 + 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 7 - -14 - (-3 + 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 88988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 17. Let f be h(21). Solve -f*t + 0*k - 20 = 2*k, 5*k = -5*t - 35 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 + 3.99. Let x = h - 73. Let b = x + 69.00053. Round b to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**3 + z**3 - 2*z**3)*(-14*z - z - 17*z) + (z**2 - 3*z**2 + z**2)*(-12*z**2 + 113 - 113) as a*z**2 + h + j*z + b*z**4 + r*z**3 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 2. Let n = y + -3. Suppose -18 = -3*l + n. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (542 - 557)*(50\/(-15) - -1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.21 + 23.71. Let x = -5 + 6. Which is the closest to x? (a) 2\/5 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 5. Let d be p(3). Let y(q) = -8*q**3 + d - 22 + 9*q**3. Suppose 2*k + 6 = 5*k. Let c(f) = 2*f**3 - 5. Calculate k*c(v) - 5*y(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 5*l - 15 = 0, -k - 2*l - 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 18*w**2 + 16*w - 63. Let c be y(17). Find the common denominator of -85\/2 and (-4)\/178*66*10\/c.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 283 + 137. Let r = -98 - a. What is the units digit of 2028\/28 - (-6)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 161303346?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 314.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116528.28 months to centuries.\nAnswer: 97.1069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/((-24)\/(-36))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(600)\/sqrt(8).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g - 4*g**2 - 5 + 17*g + 6*g to the form u*g + b + q*g**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1413?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 2. Give o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*y + 30 = 0, 0 = 5*d + 489*y - 494*y - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 385*g + 474*g + 272*g - 236*g + 69*g as z*g + f and give z.\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389833, -779593, -1169355, -1559119, -1948885, -2338653, -2728423?\nAnswer: -3118195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 20, 47, 92, 161, 260, 395, 572?\n\"Answer: q**3 + 8*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/456 and -103\/152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -1.3. Let h = q - 11. Let r = -11.9936 - h. Round r to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 2:36 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.617795781 rounded to 3 decimal places?\nAnswer: 0.618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -5*x**4\/12 - 4*x**3\/3 - 3*x**2\/2 + 10*x. Let m(y) = -2*y**2 - 3*y - 1. What is -4*g(n) + 11*m(n)?\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 67*i + 3341. What is w(-50)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 140, 317, 602, 1049, 1712, 2645, 3902, 5537?\n\"Answer: 9*b**3 + 114*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x**3 + 3*x**2 + 3*x + 3. Let v(k) = -21 + 27 + k - 5 + 0*k**2 - k**3 + k**2. Calculate -l(b) + 3*v(b).\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403005 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 14.6, 124, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 3*d - d**2 + 5*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -94.6, 0.5, 10.81, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - x = -w + 67, 2*x = 5*w - 341. Find the second derivative of -109*l**5 - 8*l + w*l**5 + 75*l**5 wrt l.\nAnswer: 700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21186*z + 21219. Calculate w(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 10 = -62. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**6\/39 - 2*g**5\/13 + 17*g**4\/13 - 44*g**3\/39 - 33*g**2\/13 + 54*g\/13 + 137. Suppose t(o) = 0. What is o?\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2 + 2*h + 7. Determine u(4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + i + 2*i)*(0*i**3 + 2*i**3 - 4*i**3) - 13*i**4 - 27 + 3*i**4 + i**3 + 13*i**4 in the form n + t*i**2 + z*i**3 + b*i + x*i**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 16. Let t = u + -7.4. Let a = -78 + 67. What is the third smallest value in -5, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 136 + 4*m**2 + m**3 + 4*m - 1\/5*m**5 - 1\/2*m**4. Find j such that c(j) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 10 = 5*a. Suppose -2*j - 160 = -2*r, -r + 4*j = 7*j - 76. Suppose -a*b + r = -46. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36503 and 21625.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/5420 and (-7 + (-2)\/(-1))*(-77)\/(-112).\nAnswer: 21680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-49))\/(1\/(-14)). Let n = 176 - 1582\/9. Sort -5\/2, f, n in increasing order.\nAnswer: -5\/2, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159.93 + -158. Let l = j - -0.07. Let q = 46 + -185\/4. What is the nearest to q in -2, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b15188 + -2?\nAnswer: b15186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + -3. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcq when three letters picked without replacement from qdczj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187*z**2 + 1081*z - 786565.\nAnswer: 374*z + 1081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -541234.12 + 541479.12099. Let w = p - 245. Round w to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/2546674 and 69\/1958980.\nAnswer: 25466740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from {t: 4, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -178918, -178972, -179026, -179080, -179134, -179188?\n\"Answer: -54*f - 178864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*i + 7*k + 43, 4*k + 32 = 2*i. Let l be (-1)\/(((-1)\/(-18))\/(3\/i)). Let x(h) = -h**2 - 10*h - 8. What is x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463 + 571 = 94*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7013594 plus -0.4?\nAnswer: -7013594.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -11, -305, 3, -5 in ascending order.\nAnswer: -305, -12, -11, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-4))\/(144\/((-768)\/(-96)))*6\/(-15)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + i**2 - 5 + 8*i + 0*i**2. Let p(z) = -z**2 - z. Let h(t) = -a(t) - 4*p(t). Let g be h(-5). Solve g = -5*d - 0*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 plus 45561069356807?\nAnswer: 45561069356807.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36958 - 13841. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525 and 436380?\nAnswer: 2181900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 + 0*2\/(-1*4) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 7*h - 50*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 30. Let n(u) = u + 10. Let g(r) = 4*a(r) - 11*n(r). Let w be g(-7). Suppose -18 + 3 = 3*t, -w*m + 2358 = 3*t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298007?\nAnswer: 233, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 24*x + 28. Suppose -7*r = -14*r + x. What is the third derivative of -54*q**3 + 26*q**3 + 3*q**r - 27*q**2 wrt q?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24430 * 10\nAnswer: 244300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1610 and 455308.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -3, 9, 12, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.85 + -23. Which is the second biggest value? (a) g (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56010, 112585, 169722, 227421, 285682, 344505?\nAnswer: 403890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (1 - 2) + 4 - (-134 + 123)) + 2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 88 = 5*t, 0*t = -2*t + 10. Calculate the remainder when p is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361.80527+-77\nAnswer: 284.80527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 2. Let c be d(0). Suppose -c*t + o = 0, 4*t + 0*o + o = 12. Suppose 0 = -t*l - 20 + 88. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + s + 182, 0 = -5*t - 4*s + 946. Suppose f + 0*d + 100 = d, -3*f + 5*d = 306. Let g = f + t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 12*z - 41. Let p = 38 - 25. What is the remainder when r(9) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6270897 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47338, 94723, 142108, 189493?\n\"Answer: 47385*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/20 - ((-213)\/5 - 0). Let i = u + -41. Find the first derivative of -4*m**2 + 3*m**i - 8 + 27 wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -14486645?\nAnswer: 14486649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*195\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/5*3)\/(1*(-18)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i. Let p(q) = -q**3 - q**2 - q - 6. Let j be p(i). Let l(t) = -t**2 - 10*t - 8. Is 6 a factor of l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w = 3*g - 129, 0 = -w + 3*g - 30. What are the prime factors of (-32857)\/w - 5\/3?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760 (base 16) in base 11?\nAnswer: a718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(900))\/((1*sqrt(132))\/sqrt(11)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 467 + -9329\/20. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 6) to base 7\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(15\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1233 and 2055?\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255230 is divided by 1994.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36117077665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-105)*(-12)\/30\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713989150?\nAnswer: 2, 5, 7, 89, 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 34 = 5*h. Let l(a) = -a**3 - 4*a**2 - 2*a - 3*a + 0*a**2 - h. Calculate l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85\/88 + 56\/11. What is the common denominator of (3 - 5)\/(32\/194) and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*v - 671*v + 200*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1439, -1, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.2, -1, -1439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146826 = 3*t - t - 5*q, 2*t = 4*q + 146822. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, j: 2, d: 1, k: 2}. What is prob of picking 1 d, 1 z, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -11\/6*b**3 - 17*b**2 - 1\/24*b**4 + 0 + 0*b. Let n be q(-11). Sort 5, 4, n in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-35))\/1*(-623)\/(-178)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26450302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1128 and 32.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(11\/(-12))\/11*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 45. Calculate the greatest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:38 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 221002080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**25)**(37\/3) assuming m is positive.\nAnswer: m**333","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6808437, -13616822, -20425209, -27233598, -34041989?\n\"Answer: -f**2 - 6808382*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Suppose 5*p - 170 = 5*q, -162 = 3*q - d*p - 58. Let m be -1 - 14*2\/q. Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m, -4*l + m - 146 + 7 = 0. Let u = l + 39. Suppose b - 1 = u. Solve -4*o = -8 - 0, -2*s - b*o + 12 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.1 + 10.2. Let a = 0.9 + l. Let o = a - 4. Put o, -3, -5 in decreasing order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -8. What is the remainder when u is divided by ((-20)\/(-8) + -2)\/((-4)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8440, -8485, -8664, -9061, -9760?\nAnswer: -10845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 - 4*r + 10 + r - 2 - 7. Give f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 5 - 5 + d. Let s(n) = -2*n**2 - n. Let p(c) = h(c) - s(c). Let k(a) = -3*a. Determine p(k(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.923 and -45.5.\nAnswer: 41.9965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-4)*84\/9. What is the smallest common multiple of 8 and (-10)\/15 - r\/(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 1180, 2643, 4690, 7321?\nAnswer: 10536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.094 - -13.8. Let l = 1.116 - g. Let m = 0.7 - l. Round m to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*7\/(-21)*(5 - -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5181200 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -9456216?\nAnswer: 9456219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -2.1. Let z = 4.2 + 0.8. Let s = -313\/5 + 63. Which is the closest to -0.1? (a) s (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/2))\/d**0*(d\/(d*d**(-2\/7)*d))\/(d*d\/d**2) assuming d is positive.\nAnswer: d**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n + 91*n + 146*n - 756 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 + 0.1. Let m = s - -0.09. What is the second biggest value in m, 3\/4, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35224 and 2627.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/35*7 + 2\/10. Suppose -5*w - 5*y = -g*y - 111, 0 = -4*y + 16. What is the lowest common multiple of 5 and w?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7656, -7654, -7652, -7650, -7648?\n\"Answer: 2*k - 7658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -2*u**2 - 31*u + 0 + 1\/2*u**5 + 0*u**4 + 0*u**3. Let v(r) = 2*r. Determine a(v(k)).\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 57, 3, -3, -204, -5 in decreasing order.\nAnswer: 57, 3, -1, -3, -5, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let u(v) be the first derivative of -11*v**5\/60 - 3*v**2\/2 + 6. Let q(n) be the second derivative of u(n). Calculate t(q(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w + 656 = -48*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-9\/2)*o**(4\/7)*o*o*o\/(o\/(o**7*o)))\/((o**(-1\/6))**34)**(-16\/7) assuming o is positive.\nAnswer: o**(-61\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -1. Factor k**2 - k**5 - 7*k**4 - k**x + 10*k**4 - 2*k**3.\nAnswer: -k**2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = 4*t, 0 = 5*t - t - 3*u - 5. What is the third derivative of 3*r**3 - 7*r**2 - 2*r**3 - t*r**3 + 4*r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 24. Let l be (-1 + 40)\/((-6)\/o). Suppose 2*v = -3*z + l, 0*z + 5*z - v = 208. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttptppppttt. What is prob of picking 2 p?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*a**3*h**2 + 8*a**3 + 4*a**2*h**2 + 80*a**2*h + 5464*a**2 - 1 with respect to h.\nAnswer: 72*a**3*h + 8*a**2*h + 80*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*f**2 + 4*f**2 + 106 - 25 + 21*f + 3*f**2 with respect to f.\nAnswer: -4*f + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*b)\/(b**(-2\/7)*b))\/((b\/(b\/b**(-5))*b)\/(b*b**(-2))) assuming b is positive.\nAnswer: b**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973096, -973278, -973460, -973642, -973824, -974006?\nAnswer: -974188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-9) + 1)*48. Calculate the highest common divisor of t and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-486)\/(-90) - 4\/10. Suppose -101 = 4*r - 3*y, 83 = -3*r + r - n*y. Let q = 30 + r. Solve -5*t + 26 = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.22 + -0.22. Let g = d - 4. Let i be 5\/(-42) + 2\/7. What is the third biggest value in i, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, i: 3}. What is prob of sequence iik?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -457?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 9*r**2 - 21*r - 5. Determine g(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 - 94. Let p = -476 - -473. Sort p, h, 5, 4 in descending order.\nAnswer: h, 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 2*g = 40, -4*j + 36 = -4*g. Suppose -6*p - 35 = -j*p. Let m be ((-15000)\/p)\/((-2124)\/(-1064) - 2). Round m to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1453 in -4, 2\/555, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -62. Which is the fourth smallest value? (a) i (b) 2\/7 (c) -0.5 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906.\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 10, z: 2, v: 7}. What is prob of sequence vvx?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/50 - 121\/1210)\/(2688\/630)?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-27)\/15 - 42\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 7 + -26 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1.3, 26.8, -0.2, 2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-16)*16\/12. Sort 1, -3, m, 2 in decreasing order.\nAnswer: 2, 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n - 2. Give t(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126968 is divided by 346?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2784\/(-42) + (-4)\/(-14). Suppose -6*w = -w - 340. Let k = s + w. Solve k*t - 5*t + 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(8))\/sqrt(7) + -3)**2.\nAnswer: -3*sqrt(5) + 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from uecuuuucucuucu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 6. Let c = -3 - -9. Let a be z(c). Suppose w = a*w - 130. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-5) + 457968\/(-32480)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 8*f**2 - 9*f + 2. Calculate the remainder when 6\/18 + 82\/6 is divided by l(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16911422 + -16911418.8000003. Let l = -1.29 + -1.91. Let g = l + k. Round g to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 4*u**2 - 5*u + 6. Let l be -7 - (0 + 4 - 6). Is 6 a factor of n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21343 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 4*k = -0*k + 4*r, 5*r = -175 + 347 - 177 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 402*w = -4210 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 64337.\nAnswer: 1930110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -l + 3*d - 88, 26 = -3*l - 2*d for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 107273.\nAnswer: 42909.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 383057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -276.28 rounded to the nearest integer?\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 18*w. Let z(i) be the second derivative of 3*i + 1\/96*i**4 + 0 + w*i**2 + 1\/16*i**3. Factor z(v).\nAnswer: v*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 706, 1335, 1964, 2593, 3222?\nAnswer: 3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 13. Let q(u) = -7*u + 107. Calculate q(b(x)).\nAnswer: 7*x + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 228 + 5?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -79\/630959?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.702013065 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19818390*u**2 + 37345*u + 338.\nAnswer: -39636780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3133540 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) 1 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(60)\/(sqrt(48)\/sqrt(4)) + sqrt(5) + sqrt(5)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41583780345\/2893 + -14373930. Let y = b + -6\/263. What is the smallest value in 0.2, y, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6665592370.\nAnswer: 2, 5, 666559237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8*c - 1 = -7*c, 4*b = 3*c + 17. Sort b, 5, -8, -5.\nAnswer: -8, -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g*g**5*g)\/g*g*g**(-14) assuming g is positive.\nAnswer: g**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 405, -0.096, 4, 5?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:59 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 32, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 331 = 3*u, -3*u - 383 + 56 = 3*t. Let y = u + 110. Suppose 0 = 2*h - 5*x - 22, 2*x - 6*x = 8. Solve y*r = r + h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - t**2 - 7*t + 6. Let i be s(2). Let v = -13 - -6. Let o(w) = -5*w**2 - 5. Let y(x) = -9*x**2 + x - 9. Determine i*y(n) + v*o(n).\nAnswer: -n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l - 20. Determine s(8).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f + 3*f = -310. Solve -f - 4 = -7*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -89400, -89245, -88828, -88017, -86680, -84685?\n\"Answer: 22*h**3 - h**2 + 4*h - 89425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12350182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + u - 5823, -3*u + u - 4381 = 3*w. Is -7 + 2 - (-5 + 0) - w a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 379360*d**4 - 125*d**2 - 334?\nAnswer: 9104640*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11607985\/1106 - -73466\/7. What is the common denominator of 15 - (18 + (-175)\/(-154)) and f?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-20)*84\/(-3). Suppose 477 = s*p - 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12734.\nAnswer: 2, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + (8 - -28052))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 57*m. Let s(i) = 2*i. Determine s(d(q)).\nAnswer: 2*q**2 + 114*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 67*w = -10*r + 60, 3*w + 4*r + 0*r - 39 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48431 - 5*(192\/40)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2218*l**3 - 2901*l**3 + 2673*l**3.\nAnswer: 1990*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6783 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r + 1. Let k be q(-1). Let w = 2 + k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:59 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**4 + 236*w**3 + 24604*w**2 wrt w.\nAnswer: -72*w + 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -795, 4, 3\/16, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -1473.\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.104 and -500?\nAnswer: 512.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/4669 + -438877\/42021. Let i = n + 263\/18. Is 0.1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2406*x = -8*k + 2409*x - 25, 2*k + 4*x + 30 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.03 - -0.03. Let f = -3.5 + 3. What is the smallest value in c, -2\/7, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 0*d**2 - d**2 - 2*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 128 from -94.316603.\nAnswer: -222.316603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1)*2\/6. Solve -q - 8 = 2*h + 1, b = -5*h + 2*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1448, -2892, -4336, -5780, -7224, -8668?\nAnswer: -10112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0.5, 151441, 0, 2\/9 in ascending order.\nAnswer: -0.03, 0, 2\/9, 0.5, 151441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l\/(l**0\/l))\/l))\/l*l)**(-3\/4)*(l\/l**(-1\/4))**(1\/17)*(l**1\/l*l)**35*(l**(-1))**5 assuming l is positive.\nAnswer: l**(2147\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*p = -5*p + 11, 0 = -3*r + 4*p + 7. Suppose r*b - 2*b = 6. Find a such that -b*a**2 + a**3 - 7*a**2 + 8*a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4266221 and -40.7?\nAnswer: -17.36351947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/12 - 4)*(-16)\/6. Suppose x = 2*r + r. Suppose 2*q - 3 = r*f + 5, 2*q - 4*f - 10 = 0. Solve 2*w + 3 = q*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*b - 4*b + 14 + 0*b + 0*b wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4 - 10. Let p be (-43)\/(172\/(-48)) + -19. Are t and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*t - 1. Let w(o) = 3*o**2 + t + 7*o - 4*o - o**2. Let c(x) = -9749 + 7*x**2 + 2437 + 2440 + 2438 + 2437 + 11*x + 0*x. Calculate -6*c(j) + 22*w(j).\nAnswer: 2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50101*m = 50110*m + 198 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 1)*(-2 - 2 + 1) + (-2 + 4 - 4)*(-10 - 4 + 0))*(2 - 4 + 3)*(3 - 2*v - 3) to the form i + d*v and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/16560*-6 + (-6200)\/345?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 2.8. Let a = -16453\/35 - -470. Let h = a + -11\/35. Put h, j, 1 in descending order.\nAnswer: 1, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 4*g**2 + 2*g + 3. Let l be y(3). Let v = -0.08 - 3.92. Let k be (-2 - -1) + 2\/14. What is the nearest to l in v, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(99) + sqrt(99)*-2 + sqrt(99)) - (-2*sqrt(11) + 1 + 0))*4)**2.\nAnswer: -64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 1. What is the least common multiple of d(2) and (-6)\/20 + 90763\/2810?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 - 5*f**2 + 3*f + 1268. Let m(n) = 7*n**3 - 11*n**2 + 7*n + 2534. Calculate 4*m(k) - 9*r(k).\nAnswer: k**3 + k**2 + k - 1276","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (23\/138)\/((-2)\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 24. What is the remainder when 88 is divided by m(21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-1890))\/(182\/(-11466))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - n + 42 + 22 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 166*w**3 - 3 - 164*w**3 - 2*w**2 - 2*w**4 + 0 in the form n*w**2 + x + o*w + g*w**4 + z*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 193, 295, 411, 547, 709, 903, 1135, 1411?\n\"Answer: b**3 + b**2 + 92*b + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 309477 = -11*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20035 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.815 + -6.4. What is c rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1016 + -491. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q + 37. Let n be k(-10). Let y(p) = -241*p - 61. Is y(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1955 is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t + 2. Let n(q) = -q. Let h(i) = -3*n(i) - s(i). Let v be -1*2\/(-1)*1. List the prime factors of h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 64*z**2 + 16373*z**3 - 15162*z**3 - 64*z**2 + z**4 - 2*z + 4 as t*z + u + r*z**3 + f*z**4 + p*z**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/15960360 and -79\/300.\nAnswer: 79801800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.53 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i - 5, 0 = 2*s + 3*i + 23. Let t be (s + 0 + -3)\/(-1). Solve 5*l + 8 = 2*l - f, -l + 4*f - t = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 - (12 + -37) - -39 - (-1 + -74).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/6011?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n - 43 + 0 = 0. Let g(t) = -t**3 + t**2 - t + 1. What is g(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45 + 113828?\nAnswer: 11386d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*u + 3*u, -5*s - 2*u = 5. Let k be 3 + s + -3 + 0. Suppose 14 = o + 3*c, -2*c = -k - 1. What is the remainder when 19 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -17, -88, 13022 in increasing order.\nAnswer: -88, -17, -1\/5, 13022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1209075\/2058)\/(100\/8).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/65)\/(-8*(-101)\/(-16160)).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 15629 = 5*h, h - 3123 = -64*l + 62*l. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15409740 to the nearest integer?\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1341 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((1\/1)\/(1\/(-25))).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495760?\nAnswer: 2, 5, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1946 divide 109645424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 1\/9 (c) -593\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 - 162. Let k be 0 + 2\/(p + 3). Let h(t) = t**2 + 2*t + 4 + 0*t**2 - 1. Calculate h(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*y**2 + 520*y**2 - 9*y + 3*y + 40*y + y.\nAnswer: 276*y**2 + 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 9:01 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52496 divided by 17.\nAnswer: -3088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12 and 0.00891653.\nAnswer: 0.12891653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*p**3*q**2 + p**3*q + 293*p**3 - 6*p*q wrt q.\nAnswer: 46*p**3*q + p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/25727 and -53\/1957231.\nAnswer: 25444003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144018 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0, 1, 2\/13, -17 in decreasing order.\nAnswer: 1, 3\/7, 2\/13, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*t**2 + 1 + 8*t**2 + 12 + 9*t**2 in the form l*t + k + f*t**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.4 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-9))\/(2\/(-3)). Let t = 113 + -6. Differentiate -5 + 107*c + c**q - t*c wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 13*k**2 - 15*k - 8. Let q be u(-14). Put -4, -5, q in increasing order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132130113 - -222?\nAnswer: 1132131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -12*i + 14. Suppose -3*j - 2*z - i = 0, -3*z = -4*j + 2*z + 28. What is the smallest common multiple of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-40))\/((-27)\/(-75)))\/(35\/(-126)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575, -1204, -1823, -2432, -3031?\nAnswer: -3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-12)\/(-5) + (-10)\/25 and (-440)\/(-154)*((-6)\/(-4) + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (9 - -19) - ((-35 - -5) + 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -0.2. Let u = 1335.9103 + -1336. Let l = u + i. Round l to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 + 34 + 42 - -73?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/3 - 12224*y**3 + 3523904*y**2 - 82812928*y\/3 + 54817280 = 0 for y.\nAnswer: -18620, 4, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26571541?\nAnswer: 26571541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -60129\nAnswer: 16\/60129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1056.6 - -1049.6. Let d = 0 + 3\/2. Which is the smallest value? (a) d (b) -3\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5. Let a be o(-9). Let t = a - -22. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**2 + d - 21. Let a(l) = -l. What is -8*a(x) + 3*n(x)?\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 14. What is o(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.563 + 12.437. Which is the nearest to -2? (a) v (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/3486 and 59\/148.\nAnswer: 257964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11014)\/14)\/(8*7\/(-392)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41722563*y**3 + 40363877*y**2 wrt y?\nAnswer: 250335378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f**2 + 4*f - 3*f + 4*f**2 as i*f**2 + n + p*f and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f**2 - 4*f**2 + 12*f**2)*((1 - 1 - 3*f**2)*(7*f + 0*f + 0*f) - 2 + 2 - f**3 + (2*f**3 - f**3 + f**3)*(2 + 3 - 4)).\nAnswer: 40*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**3 - 34*q**2 + 7*q - 14. Let w(x) = -7*x**3 + 23*x**2 - 5*x + 10. What is -5*k(p) - 7*w(p)?\nAnswer: -p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 432680 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 7*k - 4. Let p be s(6). Suppose -5*j + p*j + 15 = 0, 2*y + 5*j = 49. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j**3 + 9*j**2 + 6*j - 5. Let x(g) = -13*g**3 - 11*g**2 - 7*g + 5. Let u(y) = -6*p(y) - 5*x(y). Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3599292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2135 - -34085\/16. Let f = 5944 - 47611\/8. What is the common denominator of o and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and 2672.\nAnswer: -248496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - 19. Let g = 67 + q. Suppose -s = -2*h - g, -s - 3*h = -8*h - 47. What is the lowest common multiple of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074482323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/10*10\/4. Suppose -5*w + 7 = -13. Let g = w + c. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t - 5*b - 25, -4 = 4*b. Solve t*y + 12 = j, 4*y + 0*j = -j - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 6, p: 2, k: 1, s: 2}. What is prob of sequence ks?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -66.99876. Round u to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40355 rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 7.3, 85\/2, -0.849, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 1746*t**2 + 252288*t + 511584.\nAnswer: 3*(t - 292)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 5 - 855*w**3 - 851*w**3 + 22*w - 8*w**2 + 7*w**2 + 1709*w**3 + w**4 as x + u*w**4 + g*w + n*w**2 + i*w**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 2)*-24151*(-6 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 14*k**2 - 56*k - 116. Let f be g(18). Suppose 145*b = f*b. Factor -10\/3*d**3 + 2\/3*d**5 + 0*d + b + 2*d**2 + 2\/3*d**4.\nAnswer: 2*d**2*(d - 1)**2*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7812 divided by 2604\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1257 and 2994593?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51 and -1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -1. Suppose -2*u + 3 = 3*f + 7, 4*u = -5*f - 6. Let a be (f\/(-5))\/(4\/6 - 0). What is the third smallest value in a, k, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 64. What is the nearest to 1 in p, 0.1, 0.15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3693936 or 3693939?\nAnswer: 3693939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55022603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391463*q + 391463*q - 21*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-0.05.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:23 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 27*t + 2. Let a(n) = 8619 - 4297 - 4322 + 190*n**2. Determine a(k(l)).\nAnswer: 138510*l**2 + 20520*l + 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - f**2 + f**2)*(0*f + 5*f - 3*f) - 8*f - 9 + 509*f**2 - 502*f**2 + 7 + f**4.\nAnswer: -5*f**4 + 7*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.0549?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55583480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 185.46406\nAnswer: 92.73203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -8. Let n(t) = 3*t**3 + 9*t**2 + t - 4. Let d(s) = 8*s**3 + 25*s**2 + 3*s - 11. Let g(k) = -4*d(k) + 11*n(k). Give g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let y be 6*1\/m + -7. Let u be 34\/9 + 2\/9. Put y, 0, u in decreasing order.\nAnswer: u, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 12*q**2. Let x be g(1). Suppose 0 = 2*b + 3*s + 9, -3*s - x = -4*b + s. Let l(k) = 0*k - k + b*k + 3*k. Let u(p) = -p. Determine u(l(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(-8\/5)\/z*z)\/z**(9\/11))\/((z**(-25\/6)\/z*z*z)\/((z\/(z*z**18))\/z)))**(-3) assuming z is positive.\nAnswer: z**(5033\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/793 + -1467\/94367. Suppose -8*o + 4 = -4*o. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 1. Let f(c) = 7*c**2 - 2*c - 6. Let p(i) = -f(i) + 4*h(i). Calculate p(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**3\/3 - 3*w**2\/2 - w + 158. Calculate f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 7 = -5*g - 2*s, 0 = 2*g + 5*s + 7. Let n = 1 - g. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 7, 0, -2 in descending order.\nAnswer: 7, 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 6*x)*(2404*x - 4946*x + 927*x - 4639*x).\nAnswer: 18762*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4)*p)\/p)\/p**(1\/4))\/(p**(2\/3)*p*p*p*p**(2\/17)) assuming p is positive.\nAnswer: p**(-1639\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -783*h + 1187*h - 5793*h in the form c + n*h and give n.\nAnswer: -5389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -56. Suppose -3*i = -0*i - 5*l - 169, 3*i - 4*l - 170 = n. What is the greatest common divisor of i and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*m - 8 = 0, 10 = -g - 2*m - 3*m. Factor 1\/3*l + g - 1\/3*l**2.\nAnswer: -l*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - r - 7 = 0, -2*z - 4*r = -3*r - 11. Suppose 1 - 4 = -h. Suppose h*a + a + z*o = 25, 2*o = 2*a - 30. Solve 0 = 5*b - 5 - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kktc when four letters picked without replacement from {t: 2, z: 1, e: 4, c: 2, d: 6, k: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1794 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*l + 5 + (4 + 0 - 2)*(-5*l + l + 3*l))*(0 + 0 + l + (-5*l + 3*l - l)*(37 - 17 + 18)).\nAnswer: 452*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 56. Is 63 + (-1)\/(2*p\/6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199.028 - 199. Sort -1, v, -1\/10 in increasing order.\nAnswer: -1, -1\/10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1039 and 5.\nAnswer: 5195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6*(-4)\/(-120))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 537932653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10672*d = 25535*d - 282397 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, t: 2, c: 2, v: 1, d: 2, y: 3}. Give prob of sequence dv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*-8)\/((-18)\/(-1140)). Let a = -1020 - z. What is a rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 3*i**4 + 4*i**4 + 35*i**4 - 10*i**4 + 8*i**4 + (-5 + 4 - 7)*(1 - 1 - 2*i**4).\nAnswer: 53*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-12)\/42 - 12\/7). Let z be ((-5)\/(-10))\/((-3)\/(-18)). Put 13, l, z in ascending order.\nAnswer: z, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41440933 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 11:58 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g + 30*g + 42 - 14*g - g + 3*g + 3*g + (-3*g + 4*g - 2*g)*(5 - 4 - 3) - 1 + g + 1 to the form s*g + u and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 245543 + -2251383764\/9169. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 3*u - 24, 4*u = -4*w + 5*u + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.8. Let r be (-66)\/(-11) + (-6)\/2. Which is the second biggest value? (a) f (b) r (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615870 divided by -4562.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 913157 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 12*d + 22. Let g be p(10). Sort -5, g, 0 in descending order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6938 is divided by 187?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {l: 1, k: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*i + 2 = 0, -3*u + 5*i = i - 4. Let x(b) = -b**2 + 4*b + 3. Let p be x(u). Suppose -2*g + 25 = 7. What is the greatest common factor of g and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91914*o + 91902*o - 275734*o + 5*o**2 + 91918*o.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11491468517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4269, 4270, 4271, 4272, 4273?\n\"Answer: i + 4268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - -2. What is the highest common factor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1800)*2)\/(-1*(sqrt(6) - sqrt(54))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*a - 0 - 9, 5*m = 5*a + 5. Let z(d) = 4*d**3 - d**2 - 2*d - 1. Let s be z(m). Suppose -5*q = -6*q + 4. Put q, -3, s in ascending order.\nAnswer: s, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z - 33. Let a be ((-72)\/84)\/(3\/(-14)). Suppose -3*r = b + 24 - 125, 5*b + 122 = 4*r. Let f(g) = -g + 4. Calculate a*u(m) + r*f(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, u: 6, l: 1, g: 4}. Give prob of sequence gul.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9401\/90147 - 1\/597. Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = s + 4*s + 28, -8 = p + s. Let w(i) = i**3 - 4*i**2 - 17*i - 1. Let l be w(6). Let b = l + 28. Which is greater: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 2101*i**8\/336 - i**5\/60 + 353*i**4\/12 + 3631*i**2. What is the third derivative of r(u) wrt u?\nAnswer: 126060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133666 (base 9) to base 6\nAnswer: 1425053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-45)\/6)\/((-3)\/10) and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -46.4 (b) -4 (c) 2 (d) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.426436 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1590, 4323, 7046, 9753, 12438, 15095?\n\"Answer: -m**3 + m**2 + 2737*m - 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 7 = -4*c. Let d be -5*(1 - c)*30\/9. Let g = d - -54. Solve -5*j + 2*k = 7, 0 = 5*k - k - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 3. Let z be g(-4). Let n be -7*3*(-8)\/168*(1 - 0). Which is the nearest to z? (a) 2\/3 (b) 0.5 (c) -11 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, 1 f, and 1 g when four letters picked without replacement from lgfjw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -27963\nAnswer: -1\/9321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7778.2 - -7778. Which is the closest to 8\/3? (a) 40 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-22 - -131) + -16.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:55 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - 1. Let z be (18\/(-10) - -1)*5. Let j be (z\/4)\/((-1)\/(-5)). Which is the biggest value? (a) -0.1 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-96)\/(-6) + (-3 - -2). Suppose -c = -4*q + 5. Suppose 4*p - l - 3 = 3*p, q*l = 0. Solve 7*z - p*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 727 + 428. What are the prime factors of u?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006549 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 211*a**3 + 2*a**2 - 45639*a - 413*a**3 + 203*a**3.\nAnswer: a**3 - a**2 - 45639*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 20, -i = -3*i - 5*g + 24. Let r(j) = -5*j + 2*j + i*j. Let t(b) be the second derivative of b**4\/6 + 2*b. Give t(r(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 242658, 242671, 242702, 242757, 242842, 242963, 243126, 243337?\n\"Answer: x**3 + 3*x**2 - 3*x + 242657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -5\/6*k**3 + k + 1\/12*k**4 + 0 + k**2. Calculate p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**4 + 6*w**2 - 5*w + 65. Let a(p) = 13*p**4 - 17*p**2 + 14*p - 194. Let r(h) = 6*a(h) + 17*s(h). Differentiate r(l) with respect to l.\nAnswer: 40*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -86. Let p be 4\/16 + (-141)\/i + -2. Which is the third biggest value? (a) 22 (b) p (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27560542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqnhhqqnqzenqnfnq. Give prob of sequence nzq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**2 - 1\/6*p**3 + 0 + 1\/24*p**4 + 0*p. Let x be s(2). Sort 3, x, -1.\nAnswer: -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11\/2 (b) -0.11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 461, 23, -2, -3, -5 in descending order.\nAnswer: 461, 23, -2, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 + -2.46. Let o = -0.2 - n. Let f = -157 - -155. Which is the closest to f? (a) -0.5 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17856.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0 - 4\/3*f**3 - 2*f**2 - 17083\/8*f**4 + 0*f. Let b be l(8). What is b rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, d: 5, g: 1}. Give prob of picking 1 d and 1 g.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**4 + d**3 - 333*d?\nAnswer: -60*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o**2. Let j(c) = -3*c**2. Let r(g) = -11*j(g) + 2*q(g). What is the remainder when 17 is divided by r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2110321?\nAnswer: 2110313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 8*u**2 - 8*u - 6. Suppose 15 = -4*f - 13. Let k be i(f). Let g be 4 - 0 - k - -1. Solve 0 = -g*j - 0 + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 44. Let b = u - 52.9. Let h = -5 + 5.6. What is the biggest value in h, b, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 451 + -800. Which is smaller: -1743\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(500)*-5*-5.\nAnswer: 1250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 27*k - 102. Let u(w) = 3*w**2 - 22*w - 104. Determine -5*g(i) + 6*u(i).\nAnswer: -2*i**2 + 3*i - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10*b**2 - 11*b - 11. Let n(q) = -q**2 - q - 1. Let i be (-9 + 7)*1\/(-2)*-31. Let w = -29 - i. Give w*z(j) - 22*n(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Let l(a) = 3*a + 2. Suppose -3*s = -9*s + 18. Let y(v) = v + v - 1 - s*v. Determine u*y(p) + l(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-3))\/((-1)\/(-275)). Let u be (-3)\/(-3)*0 + i. Round u to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.69 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - -c4?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 + 2.9. Let f = 331.955318 - 338.95531895. Let k = f + p. Round k to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3*(-3)\/696). Suppose q - 27 = -5*d. Let i = d - -77. What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16874 = 2*k - 1334*p + 1336*p, 3*k + p - 25317 = 0. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28048500 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = 44. Let b(t) = t**3 + 2*t**2 - 2. Let x(q) = 6*q**3 + 11*q**2 - 11. Give o*b(s) - 2*x(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2, -5 in descending order.\nAnswer: 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 567, -5, -85, 4, 9, -9 in descending order.\nAnswer: 567, 9, 4, -5, -9, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68546683*p**3 - 16*p**2 - 48*p + 6331.\nAnswer: 411280098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 13*o**2 + 20*o - 118. Determine u(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 + 21*g**2 + 13*g - 8. Let l(v) = -11*v**3 - 32*v**2 - 19*v + 12. Let u(d) = -5*l(d) - 8*m(d). Let b be u(-6). Which is smaller: -15 or b?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. Let a(z) = -z**2 + 7*z - 2. Let b be a(q). Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -146\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j, 0 = k - 4*j. Let c = -5 + k. Let m = 6 + c. Which is smaller: m or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 8*i = 0. Sort i, -4, 1.\nAnswer: -4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let t(h) = 53*h + 8. Calculate t(i(f)).\nAnswer: -53*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*2\/4 - 21*(-31)\/93. Which is smaller: l or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(138\/322)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -492174 - -5?\nAnswer: -492169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 5*t + 6 = -6, 4*b = 3*t + 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u**3 - 24*u**2 - 4*u + 56. Let c(z) = -4*z**3 - 8*z**2 - z + 19. Calculate -7*c(k) + 2*w(k).\nAnswer: 2*k**3 + 8*k**2 - k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/28)\/(96\/(-266)) and 23\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*sqrt(432)*-2)**2 + -3).\nAnswer: -124410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/39))**(-2\/55))**25 assuming j is positive.\nAnswer: j**(-20\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {b: 1, k: 7, u: 10}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*(-72)\/36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*p - 6789 = -187*p - 25513 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81539 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69 + -14?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 15354248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 51*q + 5811. Let k be j(-114). Which is the closest to -2? (a) 3 (b) k (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2 - 3) + -20 + 42 + -11 + -27?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 135660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 45*a + 4960. Is 160 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 times -9?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/11, 2\/11, -2807?\nAnswer: -2807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12 + 137 = 0. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55929 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 307348785 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*b + b - 2, 3*r + 4*b = -11. Put 5, 6, r, -5 in descending order.\nAnswer: 6, 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 7*u**2 + 6*u + 5. Let h be m(-8). Suppose 4*q - h = 83. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Let o be (-76)\/(-133)*21\/(-2). Let i = d - o. Solve 2*q = 2*l + q + 3, 4 = i*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/56 and (-2)\/11 - (-20600)\/43120.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.4 + 30.3. Which is greater: w or 5\/36?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2 + 3) + -3. Let q be (-22)\/(-11)*(0 - m). Let v(o) = -5*o**2 - 2*o + 1. Give v(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - -2) + 0 + -2. List the prime factors of ((-3)\/d)\/((-2)\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 + 3*i**2\/2 + i. Suppose 2*u - 7*g = -2*g + 16, -20 = 4*u + 3*g. Determine n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 1576834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445018 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 5*c - 6*c + 36*c**2.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2. Let m(i) be the second derivative of -i**3 - 8*i. Give q(m(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 120 = -4*l - 18, 0 = -2*v - l + 68. Let n = -18 + v. Let w be (-4)\/(n\/(-38))*2. What is the highest common divisor of w and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 y when four letters picked without replacement from {r: 10, y: 1, s: 8}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 7:48 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-9)\/3)*4. Let v(o) = -28*o + 69. Let c(n) = -5*n + 12. Let k(z) = -34*c(z) + 6*v(z). Calculate k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/80 + 9*i**4\/8 - 81*i**3\/2 - 181*i**2\/2 - 121*i - 1. Let j(b) be the first derivative of m(b). Factor j(x).\nAnswer: -3*(x - 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/2519421 and -13\/1206.\nAnswer: 1012807242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 2*g - 20, -22*b + 17*b + 4*g + 28 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1466700, 2933445, 4400194, 5866941, 7333680?\nAnswer: 8800405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*p**5 + 348*p**4 + 7*p**3 + 54*p**2 - 6546?\nAnswer: 4500*p**2 + 8352*p + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/(112\/61)*(-4)\/22 and -37\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35595 - 3458543\nAnswer: -3494138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1900057 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43860 + 28648 = -847*w - 32520 for w.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40\/6*3\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 6839?\nAnswer: 6841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 303986579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (3 + -3 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4684.064um in centimeters?\nAnswer: 0.4684064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9081.38 - -19.309.\nAnswer: 9100.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132941898 is divided by 816?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*d*g**2 - d*g + 2*d - 26113*g**2 - 113769909 wrt g?\nAnswer: 114*d*g - d - 52226*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -149\/3, -9, -0.05, -0.33?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 6. Let s be c(5). Suppose 2*b + 3*y = 42, 0 = 3*b - 3*y - 0*y - 48. Sort -5, b, s.\nAnswer: -5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1328 - 13895*c**4 + 16754*c**4 - 2880 - 10037*c**4 wrt c?\nAnswer: -28712*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.2, -0.3, 8\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - b + 1)*(-b + 4*b - 7*b) as d + g*b**2 + x*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(117))*5 + (-3 + sqrt(208)*2 + 3)**2.\nAnswer: 15*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7.96 (b) 0.5 (c) -98 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*w**4 + 0 - 130\/3*w**3 + 0*w + 268\/3*w**2.\nAnswer: -2*w**2*(w - 2)*(w + 67)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*b**5 + 8268*b**3 - 119487*b?\nAnswer: 200*b**3 + 49608*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*m - 6 + 19, -3*m + 2*h - 7 = 0. Which is bigger: m or -8\/21?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 934, -3, -104, 4, -1, 10, -4 in descending order.\nAnswer: 934, 10, 4, -1, -3, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32447*0.1.\nAnswer: 0.032447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117.12 + 137.9. Round o to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1.8, -1, 8\/9, 21\/10, -0.2, 0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 460316821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 4, b: 2, c: 1, j: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4490, 1\/3, 3\/2.\nAnswer: 1\/3, 3\/2, 4490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*g**2 + 450*g**2 - 457*g**2.\nAnswer: 473*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 2*v**2 + 3*v - 3. Give a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0\/(-7 - -4))\/1)\/(-5). Solve 5*q + m*c + 40 = -4*c, -36 = 4*q + 4*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c5a32 (base 14) to base 5.\nAnswer: -2041211414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 23 = 2*b - j, -3*b + 3*j + 30 = 0. Find z, given that z**3 - b*z**2 + 5*z - 2 + 2*z - 2*z + 9*z**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/7 (b) -3 (c) -1507\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = 1548. Suppose 4*s - 23 + y = 0. Let l = 5 - s. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5800557 divided by 20211?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106.7 - -106. What is the nearest to -2 in s, 0.1, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217700 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -210110012011111?\nAnswer: 210110012011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 3. Let r(b) = 4*b + 2. Let d(x) = 6*q(x) + 4*r(x). What are the prime factors of d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3445416165?\nAnswer: 3, 5, 179, 967, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) + (5 + sqrt(80))**2)*4) + -3 + (sqrt(80) - (sqrt(80) + sqrt(80) + (sqrt(80)*-2)**2)).\nAnswer: -743 - 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -1 + 10 + -8 + -9 - -13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 38*l**2 - 19*l + 702. Determine x(19).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c**3 - 1 + 29*c - 4*c**3 - c**4 - c**2 - 31*c + 0*c**4 to b*c**4 + u*c**2 + m*c**3 + p*c + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -4. Which is bigger: c or -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/5 - 5084*u**3\/5 - 51144*u**2\/5 + 53104*u - 285824\/5 = 0.\nAnswer: -14, 2, 2552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 23*n**2. Let g(f) be the third derivative of -f**3\/2 + 2*f**2 + 33*f. Let d(p) = 4*p + 12. Let w(v) = d(v) + 4*g(v). Give b(w(o)).\nAnswer: 368*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100276*a**2*m - 81*a**2 + 33*a*m + 3*a + 307*m + 1 wrt a?\nAnswer: 200552*m - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7128)\/90)\/(-9) - 6\/(-5). Let z(l) = l**2 - 2*l - 79. Give z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009511?\nAnswer: 17, 43, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.87, -0.1, -1, 1\/4, 2 in decreasing order.\nAnswer: 2, 1\/4, -0.1, -1, -2.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*c + 341904000 = 161*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - 2*l)*(-12*l**2 + l**3 + 40049*l**4 + 0*l**3 - 40054*l**4).\nAnswer: -10*l**5 + 2*l**4 - 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (-8 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687387448?\nAnswer: 2, 11, 157, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + b67b?\nAnswer: b684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a + 141. Suppose 0 = 5*b + 43 - 438. Suppose b = 4*o - a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1\/4, 30\/21313, -2 in ascending order.\nAnswer: -51, -2, -1\/4, 30\/21313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*d = -0*f + 2*f + 2, -5*d - 17 = 17*f - 13*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -370*k + 83*k - 329476. Is -1148 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 364492*u**2 + 30*u + 68. Let s be g(-6). What is s rounded to the nearest 100000?\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 970 by 5.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*y - o, 0 = 302*y - 301*y - 4*o - 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j + j**4 - 2\/3*j**3 + 3 - 2*j**2. Find k such that s(k) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 3*t + 17. Let u(n) be the third derivative of n**5\/12 - n**4\/6 + 17*n**3\/6 - 2*n**2 + 4*n + 38. What is -4*b(a) + 3*u(a)?\nAnswer: -a**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145918051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44273 rounded to 3 dps?\nAnswer: 0.443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -130?\nAnswer: 19\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0 - 1 - 8*u + 10 + u**2 + 2*u. What is the smallest common multiple of k(7) and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o**4 + 369*o**3 + 5844*o**2 + 2844*o - 2592 = 0.\nAnswer: -8, -1, 6\/13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/11))**(1\/22) assuming u is positive.\nAnswer: u**(1\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/120 - f**5\/20 - f**4\/8 + 2*f**2. Let z be a(4). Solve -b = z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*k - 8 + 25, -3*z - 19 = 5*k. Suppose -3*p = z*p - 20. Find the first derivative of -1 + p - l**3 + 2 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 10) to base 14.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -511*i + 983*i - 1501 - 465*i as q + o*i and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l**2 - 13*l + 14. Let t(g) = -g**2 - g + 1. Let n(f) = -2*i(f) + 22*t(f). Let x be n(2). Solve -x*d**2 + 4*d + 4*d + 5*d**2 + 7*d = 0 for d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 - 4*z**3\/3 + 3*z**2 + 4*z + 42. Determine q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 7*d**2 - 4*d - 9. Let f be x(6). Solve -2 - 18 = -4*z, 4*n + f*z = 31 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 470689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -70, -63, -56, -49, -42?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120001 - 2110120?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*a + 0*a = -14, -a - 17 = -3*o. Suppose -2*v = c - o*c, 0 = -3*c + v + 1. Which is greater: 6\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 18584?\nAnswer: 3\/9292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 2*i - 12 + 19 + 9*i to the form p*i + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34427 and 244571?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {l: 2, h: 1, s: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188591 is divided by 31424?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(-2)*h)**33)**27*h\/(h*h\/((h\/((h*((h\/(h\/(h\/h**(-3\/7))))\/h)\/h*h)\/h))\/h)*h*h)*(h**(-3)\/h)\/h*(h**(1\/3))**(-19\/2) assuming h is positive.\nAnswer: h**(224045\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q - 3*q**2 - 5*q**3 + 6*q**3 - 8*q - 10*q**2 - 11. Let n be g(14). Does 9 divide ((-2)\/n)\/(3\/(-162))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccuc. Give prob of picking 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2783 in 1\/4, 3\/4, -0.3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x + 11*x = 6240. Calculate the greatest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i + 1. Let p(q) = -17*q + 2. Let s(m) = -3*p(m) + 8*x(m). What is s(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 905a?\nAnswer: -9061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 92499*l + 4. Let s be 0*(-2)\/8*2. Let d = s - -4. Let r be p(d). What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4244587.9757 - 4244289. Let z = f + -299. What is z rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18) + 0 - 195\/2457*21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-2 + 2 + 3*n + (n + 0*n + 2*n)*(-3 + 0 + 5) - 7*n + 0*n + 0*n) in the form h + q*n and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 73 + 39. What is the highest common factor of k and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694850.\nAnswer: 2, 3, 5, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 3*b**2 - 3*b - 5. Let i be a(-3). Suppose -i*f = -71 - 489. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 66 = 326. Suppose 4*g + c = -15. Let k = -26 - g. Are -6 and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 22*a - 25 = 0. What is the remainder when 27 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -11.2823\nAnswer: -22.5646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-16)\/(-6) + -2). Let c = -13967.486 - -13967.5. What is the third biggest value in 0.2, -1, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -j - 4*y + 8*y, -5*y = 2*j - 934. What are the prime factors of j?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.116679 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, 0.5, -329650, 0.2?\nAnswer: -329650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31349926838449497 + 31349926651393909.00000007. Let n = 187055591 + o. Let r = 3 - n. Round r to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 7*x - 3. Let m be u(8). Let q = m - -21. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2278, 4462, 6542, 8506, 10342?\nAnswer: 12038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 118 = -5*l, -42*v = -52*v - 5*l + 125 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1)\/5 + (-1672)\/340.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/69084 and 49\/256944.\nAnswer: 14645808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404 at least as big as 92510\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1126026 and -2?\nAnswer: -2252052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - z**2 - 19*z - 5. Let q(h) = -h**2 - h - 1. Determine -g(v) + 5*q(v).\nAnswer: -3*v**3 - 4*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12922*l + 12922*l - 143*l**5)*(3 + 0 - 1)*(-1 + 1 - 2).\nAnswer: 572*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -51, -108, -177, -252, -327?\n\"Answer: u**3 - 15*u**2 - u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2.654.\nAnswer: -0.7962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 62*t + t - 1396*t**2 + 67*t.\nAnswer: -1396*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (0 - (-17 + 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2043.3 times 2.29\nAnswer: -4679.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*5\/(-130)*164\/(-82).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*6973211.\nAnswer: 230115963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 332945 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - ((-6)\/4 - -2)\/((-5)\/30). Solve -12*k - q*k + 68 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25383*m*n**3 + m*n + 12*m + 189*n**3 - 949*n - 206 wrt n.\nAnswer: 152298*m*n + 1134*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3 + (63 - -2)). Let n = -45 - f. Suppose 3*p = 152 - n. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 10 = 3*o, -5*v + 2*o = -25 + 7. Is v at most 33\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.223857415 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.31 + 0.19. Let z = s - 6. Which is the closest to 1? (a) z (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/420 - 71*n**4\/168 - 3*n**2 + 140*n. Find s, given that t(s) = 0.\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*s**5 + 18*s**2 - 18*s**2 + (s**3 - 5*s**3 + s**3)*(-3*s**2 + 3*s**2 + s**2).\nAnswer: -52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24981607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 821692257 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 8. Suppose x - d*x + 15 = 0. Solve -2*k = -x*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*b + 30 = -0*z + 3*z, 0 = -2*z + 23*b - 20 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + 0.6. Which is the closest to 1\/4? (a) -0.5 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 4*v - 3. Suppose 8*j + 89*j + 168 = -317. Let u(b) = b**2 - 3*b + 3. Calculate j*u(d) - 4*t(d).\nAnswer: -d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -143 (c) -0.2 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-2 - -11) + -27 + 20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 - 216. Let j = -44 - y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177071400 and 11804760?\nAnswer: 177071400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 - ((6 - (-8 - -17)) + (-16 - -34))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - -5.6. Let i = x + -6.5. Put i, -0.1, 3\/7 in decreasing order.\nAnswer: 3\/7, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 24 - (16 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26415*c*k**2 - 7*k**2 + 249063*k wrt c.\nAnswer: -26415*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -4, -127, 2\/15 in descending order.\nAnswer: 2\/15, -0.1, -4, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 259 = -146. Calculate the greatest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80777, -161550, -242325, -323102, -403881, -484662, -565445?\nAnswer: -646230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3*30\/(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-405)\/6804)\/((-10)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1833\nAnswer: -9165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 384 = -b, -360 = 3*m - 4*b - 85. Let a = 156 + m. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 76 = -12. Let d = 72 - i. Suppose -v = 3*s - 51, -3*s - 4*v - 137 = -188. Calculate the highest common divisor of d and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216843 divided by 134\nAnswer: 216843\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, 2, -16 in descending order.\nAnswer: 3, 2, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18916565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(85) + (sqrt(85)*-3 + sqrt(85))*-5)\/sqrt(5).\nAnswer: 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16172000 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + i**3)*(-3 - 1154*i - 54*i - 475*i).\nAnswer: -1683*i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 12. Let i be c(-8). Put -5, -2, -7, i in ascending order.\nAnswer: -7, -5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)\/((r**4*r)\/r))**(-13)\/((r\/r**(-1)*r*r**(-5)*r)\/(r\/(r*r*r\/((r*(r**3\/r)\/r*r)\/r))*r*(r**7*r*r)\/r*r)) assuming r is positive.\nAnswer: r**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/4 of a millennium?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3*q**2\/2 - 81*q - 1481. Determine j(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005140459 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549656 take away -685?\nAnswer: -1548971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**2\/2 - 4*z + 18. Let b be v(-1). Let r = -93 + 835\/9. Sort b, -0.4, r.\nAnswer: b, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 647 or 646?\nAnswer: 647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 180 = -14*j - 13*j. What is the closest to 27 in -4, -2\/3, j, 2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.924122 * -0.9\nAnswer: 1.7317098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 88953658.\nAnswer: 3\/88953658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, k: 4}. Give prob of picking 3 y and 1 k.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 - (3 + -9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 31, -5, -20, 3, -6 in increasing order.\nAnswer: -20, -6, -5, 3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*q - 9015, 0 = v - 7*q + 4*q - 1791. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 - (3 + 6 + -14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 868341 and 837?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 0.4521 (c) 0 (d) -0.1 (e) 0.317 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/7, 0, 1, -1\/14, 3 in decreasing order.\nAnswer: 3, 1, 0, -1\/14, -13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110536974 to the power of 1\/2, to the nearest integer?\nAnswer: 10514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.8. Let l(v) = -2*v**2 - 11*v + 5. Let d be l(-10). Let n = -427\/5 - d. Which is the nearest to n? (a) m (b) 1\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-590 - (2 + -2)). Suppose o = 14 - g. Let y = 826 + o. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -106114, -212234, -318354, -424474, -530594?\n\"Answer: -106120*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2. Let o(u) = -69*u. Give o(x(m)).\nAnswer: -345*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*f)*(-84*f + 5*f**2 + 84*f)*(1 - 1 + 3*f).\nAnswer: -60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 13. Let l(k) = k**3 + 3*k**2 + 3*k + 1. Let h be l(v). What is the units digit of (-4)\/2*(h + 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -26*g**2 + 1. Let o(t) = -247198 + 247198 + 4*t. Determine o(l(p)).\nAnswer: -104*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmlllmlmmllloee. What is prob of picking 2 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 4\/3, 4, 5, -2\/3.\nAnswer: -2\/3, 4\/3, 3\/2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 992 - 416 - 494 + 2*s to v + b*s and give v.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 6*c + 3. Let d be k(5). Let a be 3\/(-6) - 37\/d. What is the greatest common factor of a and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-38)\/(-2) - 9680\/704)*(-2)\/(-7). Suppose 0 = -5*h + 2*h + 9. Factor u*p**2 + 1\/2*p**h + p + 0.\nAnswer: p*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 2*x**4 - 68*x**3 - 424*x**2 - 896*x - 640.\nAnswer: (x - 10)*(x + 2)**2*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*u - 25 = 0, 5*c + 77 = -8277*u + 16556*u - 8277*u for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297106988?\nAnswer: 2, 74276747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 b, and 1 y when four letters picked without replacement from {o: 4, f: 6, b: 2, c: 4, y: 4}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:04 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*g*y - 5785610*g + 1413891*y - 21 wrt g?\nAnswer: 19*y - 5785610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 91*v**2 - 263*v - 81. Let f be p(88). Let s(w) = -w**3 + 12*w**2 + 16*w - 5. Let y(u) = u**2 + u. Let g(q) = -s(q) + 6*y(q). Calculate g(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140207425 by 8.\nAnswer: 140207425\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1) + (23 - -3). Let o be (-4)\/j + (-10)\/(-65). Solve 2 = 2*m + 3*i, o = -2*i - 5 + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 89 + 5*p**2 + 0*p**2 + 95 - 3*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21255 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/3 + 254*v**2\/3 + 502*v\/3 + 250\/3 = 0. What is v?\nAnswer: -125, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 + 549041664*f**3 + 118685421*f.\nAnswer: -12*f**2 + 3294249984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1))\/(o*o*o**(-23)) assuming o is positive.\nAnswer: o**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.7, -0.32, -3\/4, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -687, 5, -2, -3, 0, 22 in increasing order.\nAnswer: -687, -3, -2, 0, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5)*j)**(-50)*((j*(j**(-8)\/j)\/j)\/j*j*j)\/(j\/j**(2\/7)))**(9\/5) assuming j is positive.\nAnswer: j**(-2439\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 44*i - 316 = 0. Let m = i - 42. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 4*a + 4. Suppose 5*w - 4 = 3*w. Suppose l + 5*y = 6*l + 5, w*y - 26 = -4*l. Let t(u) = u**2 + 5*u - 5. Determine l*t(g) + 5*b(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r + 11*r - 14*r)*(-27*r**2 + 22*r**2 + 0 - 2).\nAnswer: 105*r**3 + 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 8*r + 161. Let q(j) = -4*j**2 - 8*j - 234. Let h(l) = 3*n(l) + 2*q(l). Suppose h(g) = 0. Calculate g.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t**2 - 99*t - 85. What is g(7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/12)\/m**(28\/9) assuming m is positive.\nAnswer: m**(-109\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (10*(-16)\/40)\/(24\/(-10))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1872) - (1*sqrt(1872) + 4) - sqrt(1872) - sqrt(1872))*1*-4)**2 + 1.\nAnswer: 3072*sqrt(13) + 120066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17136 divided by 952.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15288461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + 10*y + 75. Suppose u - 2*f = -7 - 0, 5*u - 5*f = -y. Which is bigger: -13\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 8411664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 11*p**7\/1680 - 2*p**5\/15 - 41*p**2. Let s(j) be the third derivative of c(j). Let t(n) = -3*n. Calculate t(s(q)).\nAnswer: -99*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3\/4 - 117*t**2\/2 + 114*t = 0.\nAnswer: 0, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198889?\nAnswer: 4198889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a + 9. Suppose -a*f + 7*f - 280 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 6:01 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 317 (b) -3 (c) 5\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126724945427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:18 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {p: 1, g: 1, e: 3, u: 4, r: 2, t: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 1\/54*b**4 + 0*b + 0 + 1\/540*b**6 - 1\/90*b**5 + b**2 + 0*b**3. Factor s(p).\nAnswer: 2*p*(p - 2)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9701635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 1268136?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oho when three letters picked without replacement from {r: 1, u: 1, h: 2, o: 2, e: 2, l: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8943811 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1455720 divided by -39.\nAnswer: -485240\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (642\/2247)\/((-1)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12156 (base 12) to base 14\nAnswer: -8c70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 2, 1968, 1, 4 in descending order.\nAnswer: 1968, 4, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1233200140010?\nAnswer: 1233200140012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Suppose -i + 17 = d*o, 52 + 21 = 2*i - 5*o. What are the prime factors of 4\/8 - i\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g**2 + 9*g + 5. Determine q(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z - 51*z - 3*z + 22*z + 124 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 724763 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051425659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, f: 1, z: 1, y: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 141.2*-64845\nAnswer: -9156114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -149 and 96 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/30*(0 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137830.\nAnswer: 2, 5, 7, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4432451 (base 7) to base 11.\nAnswer: 3431a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a + -a?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t**2 - t**3 - 13 + 21 - 13*t - 4*t - 7. Let f be j(-9). Let l = 20 + f. What is the highest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22368.3684 + -22364. What is l rounded to one decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56526*a**3*m**2 - 39*a**3*m - 8*a**2*m**2 + 3*a**2 + 52154*a wrt a?\nAnswer: -339156*m**2 - 234*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + 3e?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/36 and 27\/1700?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**4 + 4*s**3 - 40*s**2 + 32*s = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 - x**3 - 3*x**2\/2 - 4*x + 3. Give a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 514 - 481.88. Let c = i - 37. Let n = 0.12 - c. Sort 0.2, n, -2\/15 in increasing order.\nAnswer: -2\/15, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/513 and -58\/9910161.\nAnswer: 188293059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19520, 19501, 19470, 19427?\n\"Answer: -6*u**2 - u + 19527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c**2 + 16*c + 3. Let s(k) = -22*k**2 + 33*k + 7. Let g(h) = 7*i(h) - 3*s(h). Find the second derivative of g(q) wrt q.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foafl. Give prob of picking 1 f and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7.3. Let z = -5.04 - -0.04. Put z, x, -0.4 in ascending order.\nAnswer: z, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 488 - 466. Do d and 33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 17. Let f be d(13). Let y be 6\/f*(-5 - -3). Let u be (1 - (-28)\/(-35))*1\/(-1). Are u and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165*32\/(-480))\/((2\/(3\/3))\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 19. Let z(s) = -2*s**2 - 11*s - 18*s + 44*s - 15*s. Give z(p(q)).\nAnswer: -2*q**4 - 76*q**2 - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10)*(-4 - -24))\/2. Let w(q) = q**2 + 5*q + 23. Does 2 divide w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13549476 divided by -3387369?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594183 is divided by 5881?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8229 and -2614.69.\nAnswer: 5614.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8653 - -8657. Which is the second smallest value? (a) -6.48 (b) 1 (c) k (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 92822 + 92822.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31717200 rounded to the nearest 100000?\nAnswer: -31700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdhdjh. What is prob of picking 1 g and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 56*j**2 + 17*j + 2. List the prime factors of w(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.174 (b) -0.1 (c) -2\/13 (d) 4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h**2 + 5447*h. Let s(o) = -3*o**2 + 1362*o. Determine 9*s(f) - 2*z(f).\nAnswer: -f**2 + 1364*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46701?\nAnswer: 3, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a + 258 = -19*a. Solve -55 = -a*k - 61 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 97.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5153759399 + -5153758414.5199189. Let j = -988.5101 + f. Let x = j - -4.03. What is x rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/6 - 31\/42. Let p be 2 - (-3)\/(-11)*8. Let b = -28\/33 - p. What is the nearest to -1\/4 in -0.2, b, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.280812 centuries to years.\nAnswer: 328.0812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.16 - -24.16. Let y = -1\/19709 + 26331269\/886905. Let g = -266\/9 + y. What is the second smallest value in -7, r, g, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - (10 - (-66)\/(-18)))\/(4\/278346) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m\/(m\/(m**(-1\/3)\/m)))\/m))**(16\/5))**(-36) assuming m is positive.\nAnswer: m**(-1344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(2*sqrt(12)))\/sqrt(4).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 1, l: 1, m: 3, g: 6}. What is prob of picking 1 m, 1 l, and 1 g?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 13*a**2 + 19*a + 8. What are the prime factors of n(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 47*t + 53. What is the hundreds digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) -0.12 (c) 0.47 (d) -0.3 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 717. Let h(g) = -2*g + 239. Give 11*h(z) + 4*t(z).\nAnswer: 2*z - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 98253060.\nAnswer: -39301224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 3067188*t - 1 - 3069404*t in the form z + l*t and give l.\nAnswer: -2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -58*t**2. Let h(m) be the third derivative of m**5\/60 - 35*m**2. What is b(h(w))?\nAnswer: -58*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (55 + -1)\/2 + (291 - 293). Solve 6*p - n = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9) - (-7)\/3. Solve -n + 15 = -4*n + 3*v, -q*n - 2*v = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -22*w**7\/105 + 7*w**6\/6 - 13*w**5\/5 + 17*w**4\/6 - 4*w**3\/3 - 14*w**2. Factor l(o).\nAnswer: -4*(o - 1)**3*(11*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s = -115*s - 322 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 5*z**2 - 2*z. Let c(r) = 6*r**3 - 7*r**2 + r. Let h(i) = -5*i**3 + 6*i**2 - i. Let a(y) = 4*c(y) + 5*h(y). Determine 7*a(q) - 3*l(q).\nAnswer: -q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/600349 - -21613370\/241940647. Let z = 8\/89 - 282\/1157. Let v = p + z. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/15 + (-4)\/10. Suppose 6*s = 2*s + 4. Let a be (s - h) + 18\/12. Which is bigger: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2826, 5710, 8650, 11646?\nAnswer: 14698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96, -368, -824, -1464, -2288?\n\"Answer: -92*k**2 + 4*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31471824 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwb. What is prob of sequence bw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 599236904 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/11 (c) 2\/53 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. Let i be -2*(1 + y*3). Suppose i*j = 4*w + 108, -2*j - 2*j + w + 120 = 0. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 1. Let h(c) = 7*c - 1. Let y be 1\/(4\/32*-2). Let l be 6 - (4 - (y - -6)). Let p = -9 + l. Determine p*k(w) - 3*h(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5 - 134*r**4 + 2308*r**3 - 2044*r**2 - 2310*r + 2178 = 0?\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-36) - (5843\/(-4) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hphqxphppppppp. What is prob of picking 2 p and 2 h?\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21257357003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4432, -4381, -4222, -3895, -3340, -2497, -1306, 293?\n\"Answer: 10*b**3 - 6*b**2 - b - 4435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpppppvpvpppppp. Give prob of sequence vp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6*w**2 + 0 + w**2 + 0*w**2 in the form d + n*w**2 + a*w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2 - 4*x - 5. Let m(n) = -n**2 - n - 1. Let p(h) = -k(h) + 3*m(h). What is the units digit of p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (8 + 1 + -12) - 7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) -3 (d) 2 (e) 1.2 (f) -3\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0159 * -11911\nAnswer: -189.3849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 18 - 0. Let a be ((-6)\/7)\/(1\/(-7)). What is the greatest common divisor of a and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/15*15 + -2. Let b = 22 - z. What is the greatest common factor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37880227 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 827321017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.8 - 1.8. Let k = u + -3. Sort k, -3, -2\/3 in increasing order.\nAnswer: -3, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12460858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 461973 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 474109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + 7795?\nAnswer: 7817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*r + 4)*(r + r + 0*r + (0 - 6 + 4)*(-2*r + r + 0*r) + 44*r - 17*r - 19*r).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 25, 169, 493, 1057, 1921, 3145, 4789?\nAnswer: 6913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.659 - -0.341. Is r not equal to -30.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 2 + 2 + (-5*w**2 + 10 - 10)*(0 + 2*w + 0).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2674*y = 10925 - 153201 - 199996 for y.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:47 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Factor -14*j**3 + 4*j**s + 2*j**4 + 16*j**2 - 8*j + 0*j**2.\nAnswer: 2*j*(j - 2)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3434 - 0.6566. Which is the third smallest value? (a) h (b) 0 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*f - 84, -3*b - 2*f + 58 = -0*f. Suppose j - 2*l = 3*l - 25, -2*j + 4*l - b = 0. Round j to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 839 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -143\/3. Let j = 5.22 - 3.22. Which is the second biggest value? (a) i (b) j (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = -2*l. Let x = 12 + l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 8 = -79*y + 77*y, 0 = 4*a + y + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36220120 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + -6 + (-6 - -8) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3590 and 490?\nAnswer: 175910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 84864*j + 600158208.\nAnswer: 3*(j - 14144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (72\/20)\/(-6) - (-143)\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -588432378989\/1073545341 - -7806937\/14367. Let t = -457773479\/6793 + 67389. Let d = t + w. What is the common denominator of d and 35\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 337 = p, -37*h + 39*h - 5*p = 689. Let m = -156 + h. Calculate the highest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4 + 459322\/55340?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + 0)*4\/7. Suppose 8 = n*g - 4*d, g + 4*g = d + 14. Suppose -r = -g*x + 2, r + 1 = -x + 3*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(5\/(-10)). Let n be -1 + 3 + u + -3. Suppose n = -b - 2*b. Solve -m - m + 2 = b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.284 + -0.264. What is the second biggest value in -1\/6, i, -4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 6. Let x(d) = d + 7. Let l be x(0). Suppose -3*b = -3*s - l*b + 58, 60 = 4*s + b. What is the remainder when s is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.7+11.5472\nAnswer: 6.8472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*t**3 - 210*t**3 - 146*t**3 + 127*t**3.\nAnswer: -314*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(567) + 1 - sqrt(567)))**2 + 1*(sqrt(7) + -1).\nAnswer: -sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*p - 137*p + 107*p in the form n*p + y and give n.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -926*u**4 + 343*u**3 - 6*u**2 - 8573*u - 3082?\nAnswer: -11112*u**2 + 2058*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.04 (b) -1.81 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 17*j**3 - 2*j**2 - 2*j - 3. Suppose -4*m - 3*t = -11, -3*m + 11*t + 15 = 14*t. Let y(h) = -35*h**3 + 4*h**2 + 3*h + 5. Determine m*y(g) - 7*r(g).\nAnswer: 21*g**3 - 2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28016158?\nAnswer: 2, 197, 211, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {t: 5, g: 1, a: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**8\/56 - d**4\/6 + 12*d. What is the third derivative of y(m) wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6085 = -2*x, 3*x + 3*y = -y + 9100. Let n = -1963 + x. Is (-4)\/(-6)*n\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(sqrt(2700) - (sqrt(2700) + sqrt(2700)*2 + sqrt(2700))))*-4*1*5.\nAnswer: 3600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(-k + 2*k + k) - 20 - 3*k + 20)*(0*k - 3*k + k) + k**2 + 0*k**2 - 2*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**4\/12 + 3*a**3\/2 - 2*a**2 + 2*a. Let z be r(8). Suppose z*b - 3 = 3*b. Is 3 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4+4366.94\nAnswer: 4368.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 8. Let f(h) = -4*h**2 + 31. Let w(x) = -6*f(x) + 22*y(x). Let t(j) be the first derivative of w(j). Let d(i) = -3*i. What is t(d(g))?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)\/(d*d**14))\/(d*(((d\/(d**(5\/2)\/d))\/d)\/d)\/d*d)**(5\/12))**(2\/11) assuming d is positive.\nAnswer: d**(-147\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.63 and -599185.\nAnswer: -599185.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 8032\/352 - (-166)\/792?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*n - 6. Suppose 0 = w - n*w + 1998442. Suppose -3*q = w + 611558. Round q to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 - 4*b + 4. Calculate i(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/229 and -0.010626 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l**5\/3 + 200*l**4\/7 - 698*l**3\/21 + 28*l**2\/3 + 24*l\/7 - 16\/21 = 0 for l.\nAnswer: -2\/7, 2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*v + 8 = 0, 2*v + 2*v = m - 6. Let z be 9\/3 - (16 - m). Let p(k) = 2*k**2 + 11*k. Is p(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(-2*sqrt(12) - sqrt(12)))**2 - (-4 + sqrt(425))**2.\nAnswer: -3952\/9 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, 37, -12, 5, 0 in ascending order.\nAnswer: -19, -12, -4, 0, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/10 (b) -23 (c) -4 (d) -1 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 424\/24 - (-1)\/3. Let i = 19 - 37. Let c = p - i. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (-6 - -7) - (36 + -38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 - z**2 + 3*z**2)*(6*z**3 + 45*z**3 - 21*z**3) + 1 - z**5 - 1.\nAnswer: -61*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psss when four letters picked without replacement from {h: 1, p: 1, u: 1, s: 6}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5, n + 13 = t - n. Solve 3*y = -0*y + t*r - 3, 2 = -2*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-540)\/225)\/(2*1\/(-60)). What is the common denominator of 1326\/l - (-9 + 15) and -43\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(sqrt(484)\/(sqrt(77)\/(-3*sqrt(7)) + sqrt(11)))\/((sqrt(1152)*2)\/sqrt(8)).\nAnswer: -15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40351, -2, 4, -5, -3, -4, 5.\nAnswer: -5, -4, -3, -2, 4, 5, 40351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 + 2652*b**4 - 34234*b**3 + 126184*b**2 - 178632*b + 84032 = 0. Calculate b.\nAnswer: 1, 2, 8, 1313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)\/((d**(-7)*d)\/d)*(d**(-2\/11)\/d)**(14\/11))**(2\/167))**(-1) assuming d is positive.\nAnswer: d**(-6166\/101035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7331885.\nAnswer: 5, 11, 109, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1756\/132709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2\/7 - 159594*d\/7 + 2122520403\/7 = 0.\nAnswer: 26599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -94, -194, -332, -514, -746, -1034?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**6\/q*q)\/q)*q)**(-2\/11) assuming q is positive.\nAnswer: q**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2298 divide 24912428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n**2 - n - 12. Let u be o(4). Suppose 7*f - 1037 + 36 = u. List the prime factors of f.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 - -2) - (135 + -161 + 91).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 64*q + 70. What is n(20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(224) - sqrt(224))\/(5*((sqrt(8) - sqrt(32)\/sqrt(4)) + sqrt(8))))**2.\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12699998 = z + j, -5*j - 1174623 - 24225387 = -2*z. Round z to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*n - 6 - 3, -2*n = -3*t - 9. Let w = 7 - 11. Which is the smallest value? (a) w (b) t (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -107*t - 24. Is d(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 515 - x**3 - 510 + 3*x**2 to the form g*x + t*x**2 + k + n*x**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12806, 0.7, 2\/5, -4 in descending order.\nAnswer: 0.7, 2\/5, -4, -12806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 - (3 - 6\/2). Let h = z + -29. What are the prime factors of (-2)\/h + (-286)\/(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1726, 1350, -1070, -5534, -12042, -20594, -31190?\n\"Answer: -1022*i**2 + 2690*i + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.8511 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11436*i + 11411*i + 450 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886439145.\nAnswer: 3, 5, 67, 882029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4 + sqrt(1584)*-1 - sqrt(1584)*-1*2)*-1 + 6*(3 + (sqrt(1584) + 1)*-3))**2.\nAnswer: -1824*sqrt(11) + 571843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2219 divided by -55.\nAnswer: 2219\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10 + 3874521\/68 + (-20)\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {v: 5, i: 3, d: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-4\/3))**(1\/46))**(1\/24) assuming o is positive.\nAnswer: o**(5\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29082579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472 and 11874624?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2568 divided by 3\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0193315925 rounded to 6 dps?\nAnswer: -0.019332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -110001100111000 (base 2) to base 11\nAnswer: -180a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000105611 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 10.94. Let f = -13 - v. What is the smallest value in 5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53102 - 25993. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 114912?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 1. Let r = 3.223 + -2.123. What is the third biggest value in 0, r, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 2*z + 6. Let b be j(-3). Suppose -4*d + 32 = 4*l, b*d - 45 = -4*l - 15. Solve s - 25 = l*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 5:26 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*v + 125*v = 4. Let l(s) be the first derivative of -12 + 3*s**v - s**2 + 30 - s**2. Let g(b) = -34*b. Calculate g(l(t)).\nAnswer: -68*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -26 - 2\/2. Let u = -20 - x. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919263 divided by 306421?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 less than 6200480?\nAnswer: 6200480.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8a7 (base 11) to base 13\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9835*x - 1587. Let p be f(3). Calculate the highest common factor of 44 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95566 or 95567?\nAnswer: 95566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let q(a) = -a + 4. Let h be q(v). Solve -2*k - 3*i = -13, -4*i = -4*k - h + 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-3) - -6 - 1. Suppose 0 = -2*n + o*g + 72, 8*n - 98 = 5*n + 5*g. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 156 - 272 = 0. Calculate the remainder when 515 is divided by u.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -33, -8, -191?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36304*l**3*x**3 - 2*l**3*x - 2*l**2*x**3 - 9042*x**3 wrt l.\nAnswer: 217824*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1450318 or -1450308?\nAnswer: -1450308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39258, -78511, -117762, -157011, -196258?\nAnswer: -235503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**3 - 21*c**2 + 49*c + 51. Calculate n(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:49 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, r: 2, u: 1}. Give prob of picking 1 r and 3 s.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1792284.\nAnswer: 537685.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38542, -39427, -40918, -43027, -45766, -49147?\nAnswer: -53182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 550736803*v**2*y**2 - 14*v*y**2 + 192*v*y + 2*v + 2*y**2 + 17*y - 1 wrt v.\nAnswer: 1101473606*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 6 = -8*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2 + 4*o - 2 - 6 + o**2 + 3. Give q(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73876922 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2 + 84*d + 832 = 0.\nAnswer: -26, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*sqrt(425) + sqrt(425)))**2 - ((sqrt(425) + 2)**2 + sqrt(425) + -2).\nAnswer: -25*sqrt(17) + 6373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 - 200. Let l = 1319 - 1283. Is i > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 261 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -463 + 465. Let x(l) = -l**3 + 3*l**2 - l + 1. What is x(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156964 > 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 1298232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1291 + 1292. Let d(s) = 2*s + 15. Let f be d(-7). Let n = f + -5. Which is the nearest to 0.1? (a) -2\/19 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-5))\/((-14)\/(-35)). Suppose -x*d + 12 = d. Factor v**d - 2*v**3 - 3*v**2 - v + 7*v - 2*v**3.\nAnswer: -3*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from hpppppphpphp.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - 4) + -2 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 448485 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57\/12 - 1\/(-4). Suppose -37113 = w*o + 39052. Let h = 182683\/12 + o. What is the common denominator of 95\/8 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/((-1)\/(-2)). Let k = 5 + c. What is the remainder when 6 is divided by (4\/(-2))\/k - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-171)\/72*76\/19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -159. What is the closest to 0.1 in -3, u, 17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (178 - 178 - 15*z**2)*(39*z - 67*z + 65*z) to q + f*z**3 + n*z + b*z**2 and give f.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 51. Suppose 3*w = -2 - 4, -2*p - x = 2*w. Let y be (-1)\/(-2)*(-9 + 1). Put 1, p, y in increasing order.\nAnswer: y, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 27 = t. Suppose 0 = 2*u, -2*h + 4 + 2 = 4*u. Let x = h - t. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 - 4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214691?\nAnswer: 214691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 28 = n, 178*i - 90*i = 91*i - 5*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 9. Let b be c(11). Let v(q) = 2*q + 1. Let m(d) be the third derivative of d**3\/6 + 29*d**2. Determine b*m(z) + 2*v(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -354 divided by 6\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 40. Let o be j(-23). Let l be ((-57)\/(-95))\/(o\/(-10)). Solve -v + l = 3*y, 2*y - 10 = 3*v - 2*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010558 is divided by 252507.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 42. Let s(x) = x + x**3 - 5*x**2 + 2*x**2 + l*x**2. Give s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 4*o - 1. Let h(p) = p + 17. Let j be h(-13). Let d be c(j). Factor 4*k**5 - 4*k**2 + 4*k**4 - 35*k**3 + 0*k**4 + d*k**3.\nAnswer: 4*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/172000 and 49\/3328.\nAnswer: 17888000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/117 and -85\/429?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 33899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {c: 1, x: 2, d: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14.7. Suppose t - 16 = -3*t. Let j be (1\/1)\/(14\/(-4)). Which is the third smallest value? (a) t (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, 5, -1, 12, 11 in descending order.\nAnswer: 12, 11, 5, 3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*u**2 + 4 + 11*u**2 - 26 in the form b*u**2 + o*u + c and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 6*q**2 - 1 - 13*q**2 + 6*q**2. Let h be g(2). Let v be h + (15\/(-10) - -4). What is the second biggest value in 1, -1\/10, v?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 1 + 1)*(1 - 1 + 423340*b - 421845*b).\nAnswer: -2990*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447 divided by 339.\nAnswer: -149\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8781193*g**3 - 4252556*g**2 - 2?\nAnswer: -52687158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058301 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: Solve 4*p + 4*s = -84, -223*s = 4*p - 221*s + 80 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 11*v + 5, 0 = -4*p - 5*v + 167. Let h = 426 - p. Calculate the remainder when h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -119, -177, -235?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 1, s: 1, l: 2, p: 1, e: 1}. Give prob of sequence qe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22804 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1237*a**2 - 500 + 3*a - 1235*a**2 - 4*a - 847.\nAnswer: 2*a**2 - a - 1347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 1. Let d(n) = -2*n**2 - 2*n + 4. Suppose -19 = -4*s + k, -4*s - 7*k = -3*k - 4. What is s*j(f) + d(f)?\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w**2 + w - 1. Let b(k) = 3*k**3 - k**2 - k + 1. Calculate -5*b(l) - 5*d(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 28 + -5 - -31.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -32. Let m(a) = -a**2 - 6*a + 25. Let w be m(n). Solve 5*i = 5*x - 5, 3*i + 5*x - w = 6*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 85 = -2*l + 55, v = 4*l + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 642 = -6*p + 3*v, -2*v + 213 = -p. Let q = -427\/2 - p. Which is the third smallest value? (a) -1 (b) 0.4 (c) 0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - o + 54 = 0, 3837*o = 2*s + 3834*o - 12 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -698, 0?\nAnswer: -698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11781*f**2*t*x**2 - 9270*f**2*w*x**3 - 2*f**2*w*x**2 + 14*f*t*w*x**3 + w*x**2 wrt t.\nAnswer: -11781*f**2*x**2 + 14*f*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen tenths of a kilometer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 136 = -7*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 12*r - 4. Give k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -25*a - 36*a + 39*a + 2. Let b be y(-1). What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37450*c**4*h**2 + c**4*h - 2*c**3 - 9*c**2*h**2 - 12*c*h + 7*c + 15*h**2 wrt c.\nAnswer: -898800*c*h**2 + 24*c*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 10*v**3 + 2*v + 111336*v**2 - v**4 - 111336*v**2 as h*v**3 + i + d*v**4 + n*v + f*v**2 and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**5\/20 + n**4\/12 + n**2 + 8*n + 12. Let y(w) be the first derivative of d(w). Determine y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 5*k**2 + 10*k**2 - 4*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207621 and 582743.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4049172?\nAnswer: -4049172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245534*c**5 + 128*c**2 + 5*c + 21 wrt c?\nAnswer: 14732040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -1\/11, 65, -5, 1, 25 in decreasing order.\nAnswer: 65, 61, 25, 1, -1\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 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: Is 396 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 114 = -4*m - n, -m + 38 = 3*n. Let i = m + -20. Suppose -h - 3*w + 28 = 2, -w = h - i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 7:10 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -256, -6\/55, 2\/5 in ascending order.\nAnswer: -256, -5\/3, -6\/55, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2 - 15. Let r be (6\/(-21))\/((-4)\/(-28)). Let l(p) = -p**2 - 2. Determine r*z(i) + 15*l(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*j - 2, 3*r + 4*j = -r. Let i be ((-1)\/r*0)\/((-5)\/(-5)). Solve 4*m + 0*o = -o - 4, i = 5*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(384) + (-6*sqrt(21))\/sqrt(7) - (sqrt(27)\/(sqrt(1296)*-4) + 5))*4.\nAnswer: -281*sqrt(3)\/12 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*j = -23, -2*c + 3*j + 0*j + 21 = 0. Let x(u) = -3*u**3 + 1 - 3*u + 5*u**2 - u**c + 5*u**3 - 2*u**3. Suppose 4 - 12 = -4*k. Determine x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-315))\/(18\/(-21)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*n + 4*x, 31 = -6*n + 11*n + 3*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/12 + 3*v. Let t be (0 - 3) + 4 - -1. Let s(o) = o**2 - 2*o**2 + 2*o**2 - 4*o**t. What is s(g(z))?\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 2412*d**2 + 7 + 2411*d**2 + d**3 - 1 in the form i*d + u*d**2 + g + y*d**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711 a factor of 42850066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 56?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 + 2*y + 2. Let n(j) = 80*j**2 - 35*j - 40. Let o(u) = 79*u**2 - 35*u - 41. Let x(z) = 6*n(z) - 5*o(z). Determine -35*p(q) - 2*x(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*w - 22, -65*w - 5*n = -68*w - 47. Suppose 5*h - 3 + 4 = -2*z, 2*h = 5*z - 12. Put h, -5, 0, w in descending order.\nAnswer: 0, h, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 5*h - 53, -8*h = -q - 9*h - 10 + 1 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -z. Suppose 1 + 11 = z*d. Suppose -w + 3*w - 3 = -d*r, -w = r - 2. Solve 0 = -a + 5 - w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/7 - 29*t\/7 - 5490\/7 = 0 for t.\nAnswer: -61, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66389655 = -2*p + 3*u, -2*u + 3*u = 3. Suppose -4*r = -2*b - 28680004, -5*r + 2655158 = 5*b - p. Round r to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1919.641 - -1894.6. Let l = -26 + 1. Let m = l - r. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-18) - (-4)\/6. Suppose 0 = -d*k - 2*k - 6. Is (11 + k)\/4 + 783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {p: 5, o: 3, g: 1, m: 2, d: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.8, 299, 2\/9, -1 in ascending order.\nAnswer: -12.8, -1, 2\/9, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 12*l = 20. Suppose -r - l = -0. List the prime factors of (-19 - -2)*1*r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -5, 15, 1, -2958 in ascending order.\nAnswer: -2958, -5, -3, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 252139?\nAnswer: 5\/252139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -40*r**3 + 4*r**2 - 7*r - 9. Let x(w) = 41*w**3 - 5*w**2 + 8*w + 11. Calculate -5*o(k) - 4*x(k).\nAnswer: 36*k**3 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 2\/3, -1\/7, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3097264 to three dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/79, -3, -3\/5, 661\/2, -2 in descending order.\nAnswer: 661\/2, 1\/79, 0, -3\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 202\/22567?\nAnswer: 202\/22567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:46 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.08 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/540 - x**5\/180 - x**3 - 2*x**2. Let d(c) be the first derivative of p(c). Let d(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4311 - -11929. Which is bigger: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -29. What are the prime factors of 450 + y + (-3 - 4\/(-1))?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 9*d - 10. Let t be i(-7). Let k = 0 - 0. Suppose -3*p + 33 = -t*q, 2*q + 3 + 3 = k. What is the highest common factor of p and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -139 or -275\/2?\nAnswer: -275\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 7. Let a be k(-4). Suppose -p = 3, x - a*p = -3*x + 17. Solve -5*m + 3*n - 22 = 0, -m - 3*n = x*n + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1460028 to four decimal places.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(((j*j\/((j\/(j\/(j*j**25*j)))\/j)*j)\/j)\/j)\/j*j*j*j**(-22)*j assuming j is positive.\nAnswer: j**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10192\/15 + -679. Let k be 146\/30 + -3 + -2. Let i = w + k. Sort -0.5, i, -0.3.\nAnswer: -0.5, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5244 + 14930. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -85. Let d(h) = -h + 365*h**2 - 23 - 180*h**u - 184*h**2. Determine d(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228973582 to the power of 1\/2, to the nearest integer?\nAnswer: 15132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9*-362.2\nAnswer: 3259.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 393599 and 109272.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**5)))\/(w**(2\/5)\/w))**(-5)\/((w\/(w**(-2\/5)\/w))**24\/(w**(4\/7)\/(w\/(w**(-1)*w)))) assuming w is positive.\nAnswer: w**(-1436\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11339 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2192912 divided by -2?\nAnswer: 1096456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + x. Calculate o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40076 by 4.\nAnswer: 10019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-11)*5\/(5\/11) - (21 + -63).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 546 = 2*q - 5*q, -4*p = 3*q - 2229. Let i be (95193\/(-28))\/(-9) + 35\/28. Suppose -5*k = 2*l - i, 3*l - p = -5*k - 0*k. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1022, 3267, 5514, 7763, 10014, 12267, 14522?\n\"Answer: g**2 + 2242*g - 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nknn when four letters picked without replacement from kknknnnkkn?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/3 - 122*s\/3 + 256 = 0.\nAnswer: -128, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 244 + 26c994?\nAnswer: 26cc08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472712858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -203c20 (base 13) in base 12?\nAnswer: -3028a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-70)\/56)\/(2\/(-8)). Suppose 0 = 5*s + 2*z - h*z - 842, 2*s + 2*z = 324. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -268\/15 (c) -495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.38435t in kilograms?\nAnswer: 11384.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -63*c + 1202. Let j(m) = 8*m + 9. What is the remainder when j(7) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416027985 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (3 - 6))*5. Solve 2*v = -3*v + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1837*x*z**3 + x*z + 5636*x + 37*z**3 - 16*z**2 - 17 wrt z?\nAnswer: 11022*x*z + 222*z - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (98\/(-294))\/(2\/4548). Let o = p - -1581. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 11:42 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*q - 775*q + 4025 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p**(-1\/2))**34)**(5\/8) assuming p is positive.\nAnswer: p**(-255\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgegwjjgwjjjb. Give prob of picking 1 w and 2 j.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:22 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-85)\/15)*33\/176?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let m(k) = f*k + 6*k - 6*k + 2*k**2. Let o(j) = 8*j**2. Calculate o(m(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 - 3*y**2 - y**2)*(-283 + 109 + 54) in the form w + i*y + c*y**2 and give c.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 1. Let q(x) = -4*x + 4. Let r(s) = 10*g(s) + 2*q(s). Let u be r(3). What is the highest common divisor of 10 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132967656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 240 = 479*l - 954*l + 476*l, 5*l = -g + 48 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-6)\/12)\/((-5)\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Which is the second biggest value? (a) -2 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = -3*k + 34, 5*k - 31 = -y. Let s(d) = -2*d**3 + d**2. Let v(w) = 6*w**2 - 10*w**3 + 1 + 0*w**2 + 0*w**3. Calculate y*s(j) - 2*v(j).\nAnswer: -2*j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1954 - 1932. Calculate the remainder when 878 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*p + 156. Let t(j) = j**3 + 73*j**2 - 3*j - 169. Let d be t(-73). Calculate the greatest common divisor of d and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 126 = -3*n, -5*n - 3*x - x + 213 = 0. What is the remainder when (348\/(-8))\/(2\/(-4)) is divided by n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -28. Let u = -1.578 + 1.278. Is b greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15. What is the units digit of 57 + (j - 3) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2. Let p(x) = 348*x**2 + 352*x**2 - 630*x**2. Give m(p(a)).\nAnswer: 4900*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2227 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4979858.4 plus 3.5?\nAnswer: 4979861.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -3\/4, -12 in increasing order.\nAnswer: -12, -3\/4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1564*c**4 + 8*c**3 + 47*c + 10409 wrt c.\nAnswer: 18768*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 5*j + 4*j + 3*j - j - j + (-2 + 5 - 5)*(-1 + 1 - j) + j + j - j - 3*j + 4*j + j + (3*j - 5*j + 3*j)*(1 - 3 - 4))*(3 - 5 + 10)*(1 - 6 + 4).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + 3 - (-2001 - -1954).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-21)\/189*(-6)\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1188983285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvrv when four letters picked without replacement from grvvfbvhrbvggfvbvv.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83\/18 + 29\/6. Suppose 0 = 3*u - 8*u + 65. Suppose 0*s - 3*b - u = -2*s, 5*s - 5*b = 20. Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -118, -119, -120, -121?\n\"Answer: -g - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 204 and -4.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/7 + 10*b**4 + 572*b**3\/7 - 792*b**2\/7 - 1296*b\/7 = 0.\nAnswer: -18, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 2505392*z + 392311817104.\nAnswer: 4*(z - 313174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - 6) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 1905, 1905, 1903?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {r: 6, o: 2, b: 1, f: 1, m: 3, z: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -964*p**5 - 492596*p**4 + 1491540*p**3 + 480260*p**2 - 1490576*p + 12336 = 0?\nAnswer: -514, -1, 2\/241, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 + 225*c**3\/2 + 17199*c**2.\nAnswer: c**2*(c + 234)*(c + 441)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69006820789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1468397, -1468399, -1468401, -1468403, -1468405?\n\"Answer: -2*z - 1468395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2002221 (base 3) to base 5\nAnswer: 22122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -316 * -61.56\nAnswer: 19452.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 15. Suppose -s*z - 60 = -5*t, -z = 2*t + 2*t - 23. Does 41 divide (t\/3)\/(3\/369)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3641*y - 3653*y + 36 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:55 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:19 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -4 - (-3 + 0). Suppose -d - 15 = -z*d. Solve a - d*w = -3*a + 4, -4*a + 4 = -w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/13)\/z**2)**28\/(z**(1\/2)*(z\/((z**(1\/18)\/z*z)\/z))\/z)**(9\/11) assuming z is positive.\nAnswer: z**(-7561\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4\/(-8)*(-1)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0 + 1\/2*y**3 + 1\/60*y**5 + 3*y**2 + 0*y + 0*y**4. Suppose -2*f - 2*t - 10 = 0, f - 6*f + 4*t - 7 = 0. What is m(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/661 + 640\/1983. Let f = 7 + -10. What is the closest to s in -0.5, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 15 - 2)*(-5*s + 2*s + 0*s)*(4*s - 6*s + s) to the form h*s + v + a*s**2 and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 - 50*d**2 + 84*d - 36. What is k(15)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/14*(-14)\/(-21). Let s be 159\/12 + (-2)\/8. Let t be 1 - ((-11)\/s - -2). What is the third biggest value in 0.1, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285.81 + -5.19. Let z = -152 - w. Let a = z - 138.999901. Round a to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1274)\/(-56))\/(-13))\/(14\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p**2 + 11*p**2 - 23*p**2 - 2*p**2 + 6*p**2 - p**2 + (-4*p**2 + p**2 + 2*p**2)*(-3 + 0 + 4) as x*p + f*p**2 + m and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 528?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597, -2393, -5387, -9579, -14969?\nAnswer: -21557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 292*v**3 - 5*v**2 - 21*v + 83. Is i(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-38) + 674\/19209. Which is the nearest to -23? (a) 5 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, f: 6}. Give prob of picking 3 u.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -420724 smaller than -421207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.00957654?\nAnswer: 0.0478827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45965\/6 - -7683. Suppose -8 = -4*k, 0*a = -a + 2*k + 2. What is the common denominator of (-43)\/15 + a\/(-18) and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3)\/21 - ((-680)\/(-14))\/(-4) and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(2*sqrt(216) + sqrt(216))*1.\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, r: 1, e: 1}. Give prob of sequence zr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -32 + -5 + 18\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-432)*-20)\/(6\/(-9))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2593.8 - 2945. Let d = -33.8 + r. Let h = 384.833 + d. What is h rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 4*g + 118. Calculate t(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5 = -x, -2*w = 6*x - 2*x - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011101011001001110010 - -11010?\nAnswer: -100011101011001001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**2 - 27*i + 24*i**2 + 27*i - 17*i**5 wrt i.\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 15 + 5. Suppose 4*a = 3*x - x + 86, z*x = a - 8. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-31))\/l)\/l)\/(l*l\/l**(3\/2)) assuming l is positive.\nAnswer: l**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224430 is divided by 10201.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 232 = -26. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -626 divided by -2\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f - 25*f - 9 = 0. Suppose l - 7718 = -5*c + 2*l, f*l + 9 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 6. Let j(k) = 6*k - 42. Let b be j(l). Are 6 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.025*-1\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60958 and 2?\nAnswer: 60958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/6839 and 43\/149481.\nAnswer: 1046367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 33*f**3 - 3*f**2 - 9*f + 9. Let r be k(5). Suppose 0 = -21*l + 3*l + r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 + 8 + 6*c**3 + 20*c**3.\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 2*z + 0*z**2 + 9 + 2*z**2 + 2*z in the form c*z**2 + b + u*z and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 12*g + 37. Let o be s(-5). Suppose 5*d - 2*y - 28 = o, -3*d - 4*y = -18. Solve 2*l + 12 = d*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/20 - (-1)\/(-4). Let k(g) = g**3 + 4*g**2 - g. Let m be k(-4). Suppose -m*f - 6 + 34 = o. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*s + 4*u, 6*s + 5*u = 2*s + 24. Let k(b) = 4*b**3 + b + 5. Let j(p) = 1. Let o(h) = -6*j(h) + k(h). What is o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 2*z - 50, -4*z + 3*r + 69 = 0. What is the remainder when 128 is divided by ((-10)\/z)\/(((-28)\/(-78))\/(-7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8793 - -11085. What is the remainder when m is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-252 - 193 - 83682*s + 83683*s)*(3*s - 1 - 2*s**2 - 3*s) in the form t*s**2 + x + k*s + r*s**3 and give x.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*a + 66704 = 0, v - 5280 = 2*a + 8056. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:55 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2880 times 4576?\nAnswer: -13178880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5 - 5955*l**4 + 23760*l**3 - 23740*l**2 = 0. What is l?\nAnswer: 0, 2, 1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11574 and -0.39?\nAnswer: 4513.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) 16 (c) 7\/2 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let f be h(1). Find the second derivative of -w**5 + f*w**5 + w - 2*w**5 wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 1, o: 4}. Give prob of picking 2 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 38. Suppose -o = 5*b + 2 - 12, -2*o + n = -5*b. Suppose 0*j = -3*j - 9, -3*q + 3*j + o = 0. What is the highest common divisor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b8c + -3?\nAnswer: -1b8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 933222.9 milligrams in kilograms?\nAnswer: 0.9332229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16938\/45 + (-3)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = 12. Suppose 4*m - 12 = -5*i, -4*i + 0 = -m + y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354 + -330. What is the lowest common multiple of 165 and i?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198940 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150, -1136, -1082, -964, -758?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-6))\/(-7)*2\/(-36)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3 - 24*o**2 - 51*o - 30 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/20 + p**4\/3 - p**3\/6 + 3*p**2\/2 - 11*p. Let x = -41 - -45. Suppose 5*l = -5*j + 15, 3*j + 8*l = x*l + 8. Give m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 816?\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z + 11*z**2 - 12*z**2 - 2*z - 1 + (1 - 1 + 2*z)*(365 - 11*z - 365) in the form s*z + f + u*z**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92, 295, 844, 1913, 3676, 6307?\n\"Answer: 29*m**3 - m**2 + 3*m + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -466 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-50 - -33 - -11) + -135 + 4?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iorcpcl. Give prob of sequence li.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12446882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 184?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3212 + 2?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.21 from 1120975383.\nAnswer: 1120975383.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:43 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/102114 and -8\/915.\nAnswer: 510570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -25341481 at least -25341481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y + 149882 = -533878. What is y rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13133*q + 3. Let v(t) = 4*t. What is i(v(s))?\nAnswer: -52532*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 39. Let h(u) = -157*u**2 + 160*u**2 + 0 + 3*u**3 - 2*u + n. Let j be h(1). Solve -6 = j*b - b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47794570 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) - 484\/1232\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 8. Let i be q(6). Suppose 5*j - 25 = 4*n, -5*j = -i*n - 13 - 2. Suppose l - 15 = -j. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 26 - (29 + 158 - 144)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/27)*x)\/((x*x\/x**(-1\/8)*x)\/x)*x*x**16*x\/x**(1\/3))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**2 - 14880 + 14880.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(3 - 39\/18). Let c = b - -9. Calculate the remainder when 43 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.7272 and -0.036.\nAnswer: 0.2061792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185327\/8 - -93153\/4. Let w = d + -122. Let x = -422\/99 + 40\/9. Which is the closest to 1? (a) w (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*t + 145 = 696*t - 293 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(12\/5)*((l**(2\/17)*l)\/l)\/l*l*l**(-14)*l**5 assuming l is positive.\nAnswer: l**(-874\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8603237*f**3*r + 359*f**2*r - 7*f**2 + 101*f*r - 2*f wrt f.\nAnswer: -51619422*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2074 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**2 - 11*a - 37. Let k(j) = 5*j**2 - 5*j - 19. What is 13*k(n) - 6*v(n)?\nAnswer: -n**2 + n - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 270 = 1407. Suppose 2*t - 30 = -4*g, 2*t + 2*g + 87 = 7*t. What is the remainder when b is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3063, 12814, 29065, 51816?\n\"Answer: 3250*l**2 + l - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11544 + 19427. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/3 - 6\/9. Suppose 0 = -2*k - 2*k + x. Suppose -k*f + 2*y = f - 28, 2*y + 14 = 2*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1504\/(-564)*((-4338)\/16)\/((-2)\/(-12)). What is the highest common factor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 3*f**2\/2 + 154. Let l(s) = -14*s. Give o(l(n)).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 4. Let m(l) = 5*l - 3. Let t(i) = -1. Let x(z) = -m(z) + 6*t(z). What is -3*c(u) - 4*x(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -ced470d?\nAnswer: ced4709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4667 is divided by 1511?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:40 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 6*c + 7*c - 6, 2*c = 5*m + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21698 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/15 + -2)\/((-4)\/6). Let t(o) = -40*o**2 - 38*o**y + 80*o**2. Let p(r) be the third derivative of -11*r**5\/30 - 198*r**2. Give p(t(b)).\nAnswer: -88*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -d - 7, 2*d - 2*v - 4 = 0. Suppose -4*i = -d*i - 272. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 533498, 533564, 533630, 533696, 533762, 533828?\nAnswer: 533894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*y + 26, b + 4*b = 5*y - 120. Let z be (-4)\/22 + 168\/(-44). Let r = z - b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 + 2*s**2 + 27*s - 40. Does 5 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184996 + -0.1.\nAnswer: -1184996.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 582249, 582243, 582231, 582213, 582189?\n\"Answer: -3*r**2 + 3*r + 582249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.82 and -0.0338825350549.\nAnswer: 0.7861174649451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:45 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 2*z**7 - 3*z**5\/4 - 19*z**4\/6 - 13*z**2\/2 + 3816*z. What is the third derivative of u(b) wrt b?\nAnswer: 5040*b**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17018852 to the power of 1\/2, to the nearest integer?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.6 + 0.8. Let n = p + -33.2. Let v = n - -40.999967. Round v to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 - -114. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 267.1702 kilometers?\nAnswer: 267170.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 527933.2cm?\nAnswer: 5279332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -465*q**2 - 759 - 769 + 1528. Let t(s) = -2*s**2. What is t(i(g))?\nAnswer: -432450*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 703, 1305, 2177, 3319, 4731?\nAnswer: 6413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.171669019617 - 0.5.\nAnswer: -0.671669019617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 4791 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274 - -109. Let k = -399.9 + h. What is k rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 5*o - 4*o + 6*o**2 + 2 + (-1 + 2*o + 1)*(3*o + 0 + 0) to s*o + g + r*o**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/3 - 383*k**3\/3 - 2540*k**2 - 2412*k = 0. What is k?\nAnswer: -18, -1, 0, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -12. Suppose j*g = 152 - 37. Calculate the remainder when 66 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290914.\nAnswer: 2, 281, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.68 + -0.88. Put k, 2\/7, -2\/5 in ascending order.\nAnswer: -2\/5, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*t**3 + 18539055*t**2 - 28*t**3 - 18539039*t**2 + 2*t.\nAnswer: -294*t**3 + 16*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 279, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*k - 64*k - 178*k + 38*k - 138*k + 2*k**2 to c + x*k**2 + d*k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 31, 0.4, 5746?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -365890355, -731780712, -1097671069, -1463561426, -1829451783?\n\"Answer: -365890357*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Let o be (-25248)\/9 - x\/3. Let s = 1505 + o. What is s rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/60*(-3)\/21. What is the smallest value in 2, 1\/32, p?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1824 and -107\/83512752?\nAnswer: 167025504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271201 is divided by 512.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.4. Let z be 2 + -1 - 4\/20. What is the third biggest value in g, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Suppose 3*o - 14 = -0*o + t, z*o - 12 = 3*t. Suppose -24 = -o*r + 31. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27432 rounded to the nearest one hundred?\nAnswer: -27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q**2 - 8. Suppose -5*i - 17 = -f, 3*i + 7*f - 17 = 4*i. Let t = -13 + 5. Let l(u) = 6*u**2 + 3. Determine i*p(r) + t*l(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*q + 0)*(6 - 14 + 7) + 78*q + 35*q + 204*q + 714*q + 253*q in the form s*q + m and give s.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 10*n**2 - 12*n - 6. Suppose 5*l = -4*b - 47, -3*l = -4*b - 0 + 41. Calculate y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4050583310 to the nearest integer?\nAnswer: 63644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 25*g**3 + 4*g**2 - 4. Let h = 4761 + -4757. Let j(o) = -475*o**3 - 75*o**2 + 75. What is h*j(k) + 75*w(k)?\nAnswer: -25*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -673813*q**2 + 431185 wrt q.\nAnswer: -1347626*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201840, -805494, -1811584, -3220110, -5031072, -7244470, -9860304?\nAnswer: -12878574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21187945.\nAnswer: 5, 19, 23, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/7 + 5*y**2\/7 - 8*y\/7 + 4\/7.\nAnswer: -(y - 2)**2*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31521 or 31511?\nAnswer: 31521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.7 + -13.3. Let a = 53.9999953 + s. What is a rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*o**2 - 3*a**2*o + 402*a**2 + a*o**2 - 4*o**2 + 30*o + 4 wrt a.\nAnswer: 10*o**2 - 6*o + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8008 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 204*z - 8788. Calculate g(-59).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = -4*t, 5*w - 3 = -t - 0*w. Do t and -15\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r**2 + 9*r**2 + 16*r**2 + 10*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 + 15*w**4 - 10*w**3 = 0. Calculate w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 21 = 5*t, -4*y = 56 - 68. Sort 0.3, -5, t in descending order.\nAnswer: t, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*l + 6523, 3*l + 3*y + 465 = 7023. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*k - 14832 = 5*k, -14822 = -3*m + k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*m + 11, 2*m - t - 4 = -0. Let y(f) = 51*f**2 - f + 1. What is the tens digit of y(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85184 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 35 = q, 2*q = 4*w - 50. Suppose 0 = -4*z + 5*o + 20, -3*z - 2*o + w = -0*o. Suppose -7 + z = -2*n. Which is smaller: n or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 10:05 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 924*c**3 - 68322*c**2 + 435204*c - 665523.\nAnswer: -3*(c - 3)**2*(c + 157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52602719?\nAnswer: 13, 101, 40063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8692, -9, 10 in descending order.\nAnswer: 10, -9, -8692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.3 - -39. What is the third smallest value in -3, a, -0.7, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 33873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 610763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4684841 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/29608848 and -31\/5760?\nAnswer: 1184353920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -5*b. Suppose 19 - 4 = b*a. Solve 3*h + 4 + a = -3*n, 2*h - 4*n = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (12 + (-2 - (-2 + 7)) - 12)) + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (0 - -2) + -2. Let f be -2 + (1 - 1 - z). Let b be ((-2)\/(-4))\/(3\/6). Is b >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5769f (base 16) to base 12.\nAnswer: -153253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 17. Let b(z) = -18*z + 74. Let q(h) = 13*a(h) - 3*b(h). Suppose 0 = s - 4 + 10. Let g = s + 7. Give q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -3\/8, 1 in decreasing order.\nAnswer: 1, -3\/8, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + (-3 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-363)\/(-121)*(2\/(-9))\/(20\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6, 3*c + 0*p - 26 = 5*p. Suppose 2*u - h - 2 = -1, 0 = -4*h + c. Solve -3*b + 3*r = u*b, 0 = b - 2*r - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/9)\/((-6)\/342). Let c = k + 23. Suppose 0 = y + 1, 31*y = -2*l + 23*y + 4. Solve -c*q = -l*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = 6, y = -3*c + 26. Let m(x) = x**2 - 6*x + 7. What is the least common multiple of c and m(7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182770555, 365541101, 548311649, 731082199, 913852751?\nAnswer: 1096623305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*v - 34666 + 13994 = 0, 2*v - 31016 = -3*h. List the prime factors of h.\nAnswer: 2, 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 34*y**3 + 8*y**2 + 8*y - 7. Let q(p) = -34*p**3 - 6*p**2 - 6*p + 5. What is 4*q(r) + 3*v(r)?\nAnswer: -34*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose 162 = 1856*i - 1838*i. Solve 8*m - k*x + i = 3*m, 2*m + 2*x + 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6387*f + 51143. Determine z(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a**2 + 597*a - 6543. What is s(11)?\nAnswer: 1355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/(2\/40). Suppose z*r - 17*r = -4. Solve -3*s + r*s = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 401 - 180. Let l(c) = 362*c + 9993. Let y be l(-27). Is x bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -5.1. Let h = -0.6 + -2.4. Let w = h - -2.5. Which is the smallest value? (a) i (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 2*c + 2*c)*(-733*c - 124561 + 124561) in the form h*c**2 + b*c + i and give h.\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**3 - 3*y**5 + 9*y**3 + (65 + 102*y**2 - 130 + 67)*(-y**3 - 3 + 3).\nAnswer: -105*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/3 + 1810*w**2 - 43632*w = 0. What is w?\nAnswer: -5454, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:52 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(231)\/sqrt(7))\/sqrt(3) + -4 + sqrt(1100) + 0.\nAnswer: -2 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 37153 + 37201 = 0. Suppose 2*r + 1 - 11 = 0, z + 56 = -2*r. Put z, y, 3 in decreasing order.\nAnswer: 3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(85)*1*1)\/(sqrt(450)\/(sqrt(40)\/sqrt(4))).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - -14)*(-4)\/(-28). What is the greatest common factor of 25 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -731966 less than -731954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 15. Let j(m) = -2*m + 8. Does 10 divide j(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021350 (base 6) in base 7?\nAnswer: -264420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 + m. Let v(x) = -3*x**3 + 3*x**2 + 3*x - 3. Let g(l) = -b(l) + v(l). Let q be g(2). Let h = -15 - q. Solve -3*k + h*k + 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 3 (b) 1 (c) -4\/25 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515, -1028, -1541, -2054?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 294.7 - -63.3. Let h = 52 - v. Let o = -305.999514 - h. What is o rounded to 5 decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**5\/25 - 21*l**4\/4 - 245*l**3 - 8575*l**2\/2 - 36. What is a in r(a) = 0?\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/28*4*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82451816 and 15958416?\nAnswer: 494710896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 3, 1\/6, -3, -46834, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:09 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a = 28*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -41 - 14432226063150\nAnswer: -14432226063191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (7 - (7 + -5)) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + p + 4*p)*(-2*p + 6*p + p)*(-1 - 1 + 0)*(-1 - 1 - 3).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*v**4 - 2*v**2 - 54*v + 20575.\nAnswer: -76*v**3 - 4*v - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-146357775)\/(-72) + -3 + (-1)\/(-8). Let r be 2\/3 - (t\/(-12))\/7. What is r rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 smaller than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(19) + 1 - sqrt(190)\/(sqrt(20)\/sqrt(2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18\/239 - 6165\/3824. Suppose -5*f - 4366 = 3*t, -f - 7260 = 5*t + 4*f. Let p = t + 5709\/4. What is the common denominator of p and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516 - -855877168598?\nAnswer: 855877167082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*n + 6 = 0, 4*d - 3*n + 37 = 28. Suppose 149*h - 137*h - 36 = d. Solve 0 = 5*v + a + 3*a - 3, -3*v + h*a = -18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 + 1018*g**3 - 26831*g**2 + 73382*g - 47568 = 0. What is g?\nAnswer: 1, 2, 24, 991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44213, -44230, -44259, -44300, -44353, -44418, -44495?\nAnswer: -44584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(700))*2)**2*-3 + (5 + 1 + sqrt(700))**2 + -1 + 5.\nAnswer: -7708 + 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -11, 5, -2\/469?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (3 - 2))\/5*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*n - 2 - 9, l - 14 = 5*n. Let r = n + 8. Suppose -5*c + 10 = -r*d, -3*c = 5*d - 27 - 3. Solve g - c = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2879802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1978*d**2 - 1971*d**2 + 3.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -2*k + 88, -k - 2*p = -696 + 670 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 11, n: 1, k: 1, l: 1}. What is prob of picking 1 n and 1 o?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 7*m**2 + 8*m + 5. Let t(s) = s**2 - s - 4. Let j be t(-3). Let w be k(j). Let v = -3\/7 - 1\/14. Put -0.2, w, -5\/2, v in ascending order.\nAnswer: -5\/2, v, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 57 - 87 + 45 - 2*v**3 + 21*v**2 - v**3 - 33*v = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 866 + -1229. Let g be d\/(-36) - 11\/132. Let u(t) = t**3 - 10*t**2 + t + 2. What is u(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p\/p**(2\/11))))\/(p\/(p*p**(-14))))**(1\/11) assuming p is positive.\nAnswer: p**(-134\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 368084580*o**2 - 9*o + 5207505?\nAnswer: 736169160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 2*j**2. Let z = 5 - 7. Let v(s) = s + 4. Let p be v(-1). Let q(x) = -x**p - 136 + 136 - x**2. Give z*f(c) + 2*q(c).\nAnswer: 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716143633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Let q(n) = -7*n + 2. Let r(t) = -q(t) + 2*v(t). Let b(z) = z. Let d(a) = 4*a. Let k(w) = 5*b(w) - d(w). Determine r(k(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -21. Let l = d - -13. Suppose m - 2*f = 16, 0 = m - 3*m - 5*f + l. What is the least common multiple of m and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 88 = -4*h. Let u be (-6)\/(3\/(-6) + -1). Suppose 3*f = j - 48, -5*f = -u*j + 3*j + 52. What is the remainder when j is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -961, -3331, -7111, -12301?\nAnswer: -18901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -20. Which is the closest to z? (a) 1 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -1\/11 in descending order.\nAnswer: 1, 0.2, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 4*-1*sqrt(187) - -3*(-2*sqrt(187) + sqrt(187)))\/(sqrt(1100)*2*-4).\nAnswer: -sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.62 and -0.1.\nAnswer: -3.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -317.8 - -318. Let k be (-16)\/(-12) + 6\/(-9). Let z = 181\/4 + -45. Which is the nearest to z? (a) k (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1720 + -1736.4. Put y, 6, 0 in ascending order.\nAnswer: y, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (11 + -3)) + 3 + (9 - 12) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5486773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 23, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -378 + 765 - 387 - 2*y. Let g(m) = m - 36. Calculate g(h(x)).\nAnswer: -2*x - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/22)*z\/z**(-7\/4)*z**12*z**9)**8 assuming z is positive.\nAnswer: z**(2094\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6004 and -13.\nAnswer: -6017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 8:21 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 36*m = 31*m - 37, 13 = 2*a + 3*m for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q. Let r(u) = -u**2 + 8*u - 9. Let j be r(7). Let g be h(j). Suppose 3*z = z + g. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q - 4*r + 16408, 3*r - 16404 = -3*q. List the prime factors of q.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70177*g**3*j*y + 7*g**3*y + 43*g**3 - 2*g*j*y + 50*g*y wrt j.\nAnswer: 70177*g**3*y - 2*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 = 8. Let r be f + ((-226)\/84 - -2). Let g = -227\/126 - r. What is the common denominator of -53\/3 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 26*a**3 - 2*a**2 - 7*a + 21. Is z(3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7640.134km?\nAnswer: 7640134000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5867 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11644194*h. Let b(u) = 4*u**2. Give b(o(p)).\nAnswer: 542349015638544*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 2*n**2 - 8*n + 2. Let t be q(-4). Suppose -w = 1, -t*a - 3*w + 1476 = a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1989*g - 30*g**2 - 1989*g.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**3 + 2*a**2 - 2*a - 15. Let q(u) = 8*u**3 - 5*u**2 + 5*u + 30. Let n(r) = 5*d(r) + 2*q(r). What is the derivative of n(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -20, -33?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:09 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (182 - -20)*(-2)\/(-4) is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let y(o) = 2*o - 2. Let x be y(2). Let w = 33270 + -33266. Which is the nearest to l? (a) w (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 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: What is the tens digit of 3682968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411320231 (base 5) to base 8.\nAnswer: 6267575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1554619*b. Let w(n) = 5*n**2. What is i(w(p))?\nAnswer: 7773095*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-24) - (18965\/(-60) + -5). Calculate the highest common divisor of g and 1177.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*n = -2*p - 2, n = 4*p - 8. Solve p = 17*q - 15*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 + 43 - 11*n**3)*(3 - 6 + 4) as m*n**3 + i*n + j + s*n**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-2\/7))**(3\/16)\/(l**(2\/9)\/l**(-1\/3)) assuming l is positive.\nAnswer: l**(-59\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20*w + 5. Let i(k) = 5*k**2. Give i(o(j)).\nAnswer: 2000*j**2 - 1000*j + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/648 and 20\/33.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -2, -47\/11, 0.03, 1, 4, 2 in descending order.\nAnswer: 4, 2, 1, 4\/7, 0.03, -2, -47\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -0.043 (c) 197 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -0.77, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2 + 894*l + 8. Give f(149).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8244 is divided by 193?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 6*d + 12. Let v be x(-8). Let n = 1.03 - 1.05. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017734901 rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 91.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose 0 = h - 5*t - 5, 10 = -3*h + y*t + 90. Let x = -15 + h. Solve -p + x = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 420640.\nAnswer: 1261920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5 - 21*w**4 - 42*w**3 + 758*w**2 - 741*w - 1521 = 0.\nAnswer: -13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 77, 127, 189, 257, 325, 387, 437, 469?\n\"Answer: -u**3 + 12*u**2 + 21*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let p = w + -3. Let t = -39541\/7 + 5647. Is t equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 104\/40 + 4\/10. Let x(v) be the first derivative of -1\/3*v**q + 0*v + 1\/2*v**2 + 1. What is the second derivative of x(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 9 + 1 - 10*a - 8*a - 7*a + 34*a. Let n be k(-10). Let h(d) = -6*d - 1. Let u be h(-2). Solve 0 = -4*y + n, 0 - u = -2*v - y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1350 and 17150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 2. Let j be z(5). Let r = -39 + j. Let t be r\/(-110) + 4\/(-22). Which is the biggest value? (a) -15 (b) t (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3028993*v**4 + 2453270*v**2?\nAnswer: 72695832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -42. Let z be 51\/12 - 12\/(-16). Suppose -1 - d = -z*w. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 1, d: 2, m: 8}. Give prob of picking 1 d and 2 m.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2395 times -0.7\nAnswer: 1676.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/64577 and 34\/9?\nAnswer: 581193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.4, 4, 51 in decreasing order.\nAnswer: 51, 4, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -38. Let h be (-9)\/(-6)*(d + 77). Suppose p = -m + h, 2*m - 3*p = -m + 327. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5144 - 4*s**2 + 5144.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9*(7 - 1). Let a be -2*(10\/q + 0). Is 4 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382.51 + 4156.282.\nAnswer: 3773.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x + 3*x)*(-2*x - 16*x + 8 + 20*x) + 2*x - 8*x + x**2 + 3*x to t + b*x + i*x**2 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82\/7 in -0.033, 3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + (-4 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 4)*(1 + 1 - 4)*(w - 3*w + 0*w)*(3*w**3 - 5*w**3 + 10 + 4*w**3) as z*w**4 + m*w**3 + x + y*w**2 + o*w and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 132.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 25*p**2 - 9*p - 15. Let k(u) = 13*u**2 - 5*u - 8. What is -11*k(b) + 6*s(b)?\nAnswer: 7*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.36 + -6.652. Let b = t - 0.048. Round b to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3461 + -3449. Calculate the highest common divisor of 972 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 5. Suppose -3*x - 22 + 7 = 0. Put x, -1, b in decreasing order.\nAnswer: b, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m - 110. What is b(13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(1\/8)))\/(j*j**4*j)*(j\/(j*j**(-5)*j))\/j*j*j**6 assuming j is positive.\nAnswer: j**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 39*q + 35. Suppose 150*b + 1174 = -1826. Give i(b).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(66\/4))\/(10\/(-4)*3908\/14655)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10461992)\/(-200575) + 3\/(150\/(-8))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 0 - 6)*190\/30. Which is bigger: 58 or i?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*52\/20)\/((-508)\/(-1270)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1088 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7847 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a factor of 26716824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 38 + 40 = -39 - 159 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12 = h. Let v be 11*1 + -7 + h. Suppose -c - 2 = -v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:59 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -1082950445*c**2 + 147170*c - 5 = 0.\nAnswer: 1\/14717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110*g**2*x**3 + 34105*g**2 + 9*x wrt x.\nAnswer: 330*g**2*x**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2767\/10 - -30417\/110. Put n, -4\/5, 1\/22, 2\/9 in increasing order.\nAnswer: -4\/5, n, 1\/22, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 139, 231, 343, 481, 651, 859?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2310)\/(-1650) + -3 + (-398)\/(-255)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 24*d - 6. Let x be p(-7). Let a = x - -2260\/13. Put a, -5, 4\/5 in descending order.\nAnswer: 4\/5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 9, 26, 61, 120, 209, 334, 501?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) -5 (c) -74 (d) -85 (e) -7 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 81304.09kg?\nAnswer: 81304090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -84*l**4 - 2775*l**3 + 6033*l**2 + 9039*l + 315 = 0?\nAnswer: -35, -1, -1\/28, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137514 and 350837.\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22000317 - -0.22. Round a to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 - 9*a**2. Let c(r) be the third derivative of 0*r**3 - 7\/12*r**4 + 0 + 0*r + 9*r**2. What is p(c(w))?\nAnswer: 196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + 71. Let z = 181 - i. Suppose -4*h + 6*r - r + 73 = 0, 0 = 4*h + r - 43. Calculate the highest common divisor of h and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 969010 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 12*y**2 + 13*y + 16. Calculate h(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1205998\/493500585 - 12\/80915. What is the common denominator of 121\/24 and r?\nAnswer: 48792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469253539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/8 - 14041*g**4 - 224661*g**3\/8 + 14041*g**2 + 56165*g\/2 = 0. Calculate g.\nAnswer: -2, -1, 0, 1, 112330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6 - 2*p**2 + 8*p**2 + 9*p + 1. Let k(x) = 5*x**2 + 8*x + 6. Let z(c) = -6*a(c) + 7*k(c). What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -43*n + 80. Suppose 5*w + 23 + 1 = -2*b, 24 = -4*b + 2*w. Is 15 a factor of u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 206214171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z**2 - 12*z - 11. Calculate q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 2. Let v be r(-3). Let k(t) = 3 + v - 7*t + 5*t**2 - 15*t**3 + 16*t**3. Calculate the remainder when 17 is divided by k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o + 0*o)*((-3*o + 0*o + 2*o)*(20*o + 34*o - 14*o) + 3*o**2 - 4*o**2 - o**2).\nAnswer: 42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332.5 + 333. Which is the closest to 13? (a) k (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p + 11*p - 97*p + 28*p + 8*p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from jbqbbbqjbq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92208149 to the power of 1\/2, to the nearest integer?\nAnswer: 9603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:55 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + 12*g - 8. Let c be p(7). Differentiate 29 - 170 + 84*l - c*l - 2*l**4 with respect to l.\nAnswer: -8*l**3 - 237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jssjics.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1)\/sqrt(2) - sqrt(180)\/sqrt(125))\/(5*(sqrt(72)*1)\/sqrt(6)).\nAnswer: 4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 16 - 5)*(-2*c**2 + 4*c**2 + 0*c**2).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -35.34136.\nAnswer: 14.136544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625 = 5*v - 965. Let y(w) = -v*w + 318*w - 13*w**2. Let b(g) = g + 0*g + 0*g. Determine y(b(t)).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.83 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9135794 divided by 2?\nAnswer: 4567897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19776?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(847) + 0))**2.\nAnswer: 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 10 = 2*k. Let x = -34 - k. Suppose -12 = -2*g + x. What is the remainder when 31 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-4 + 5) + 3. Suppose -g*f + 5536000 = 13*f. Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 6?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d + 1178 - 1135 = -2162. Calculate the remainder when 671 is divided by d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5 + 921*d**4 - 9807*d**3 + 11391*d**2 + 45450*d - 47952 = 0.\nAnswer: -2, 1, 3, 9, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/15 + 333*d**2\/5 - 133*d + 5440. Factor y(b).\nAnswer: -(b - 665)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37356233 is divided by 732475.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w**2 - 4*w**2 - 3*w**2)*(-3*w**3 + 2*w**3 + 0*w**3) + (14*w - 52 + 52)*(2*w**4 - 1 - w + w).\nAnswer: 48*w**5 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(275) + 1 + 5)**2 + (sqrt(275)*-2)**2 + 4)*6)*-3.\nAnswer: -25473 - 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-11))\/((-1740)\/330)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -393 - -429. Let r be (2\/(-6))\/(((-4)\/y)\/1). What is the nearest to 3 in 5, -0.5, r, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 4 = 15*y. What is the second derivative of 8*r**y + 2*r**2 - 20*r**2 + 2*r**2 - 26*r wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - -4*(1 - 0). Let j(u) = 2*u**2 + u - 2. Let h be j(w). Suppose -2*z - 92 = -h*z. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 9. Suppose -83 = -30*s - 23. Solve -z = -s*b - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/5 + 138*p**4\/5 - 864*p**3\/5 - 65168*p**2\/5 + 266784*p\/5 - 268128\/5 = 0. What is p?\nAnswer: -19, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 611 + 599 = 0. Let m be w\/1*(-9 + -1 - -9). Solve -3 - 15 = m*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.4 * 1713.\nAnswer: 9250.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 + 4*v + 6. Let b be a(-4). Calculate the common denominator of -10\/7 and (100\/(-24) + 4)*b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6*p + 15. What is w(-11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -494 - -1195. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53\/2 + -26. Let u = 1\/4 - z. Which is smaller: -0.29 or u?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97959711 + -97959715.4999979. Let k = 4.5 + n. What is k rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 91*w - 24 = 95*w, -3*j + 2*w = -17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -220, -304, -354, -358, -304?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 892*k + 921. List the prime factors of q(13).\nAnswer: 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 109444 (b) 5 (c) 0.1 (d) -2\/11 (e) 0.2 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*m = -2*m - 2, -20 = -5*g - 5*m. Let s(o) = -o**2 - 2*o - 1. Let j be s(-3). Sort -3, g, j in decreasing order.\nAnswer: g, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 529868, 529854, 529828, 529790, 529740, 529678, 529604?\n\"Answer: -6*z**2 + 4*z + 529870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -16, f - 6*f - 850 = 5*z. Let s = -100 - z. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -14*c**2 - c. Let l(t) = -3*t**2 + 1. What is -9*l(m) + 2*n(m)?\nAnswer: -m**2 - 2*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -13. What is the remainder when 50 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1133828 by 5.\nAnswer: -1133828\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -b0553 (base 14) to base 12\nAnswer: -1851a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 188861, 1512156, 5103957, 12098516, 23630085, 40832916, 64841261?\n\"Answer: 189042*q**3 + q**2 - 2*q - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a - 455. Let f be b(73). What is the greatest common divisor of f and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 11*m - 13. Let h be d(-7). Suppose -h = 5*z - 8*z. What is the least common multiple of z and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*l + l + 32, 8 = -4*t - 5*l. Suppose 0 = 5*u + t*q - 258, -q = 4*u - 64 - 141. Suppose f = 5*z - u, f + 21 = 5*z - 3*z. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6798\/157 <= 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 0)\/((-8)\/4). Let o(j) = 12*j**2 - j. Let n be o(l). Let s be n\/(-12) - (-2)\/6. Which is the second smallest value? (a) -2 (b) s (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.8 + 0.2. Let v = d + -8. Let i(p) = p**2 - 5*p - 13. Let f be i(9). Is f at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116527 - 244527. Round h to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.70313 to one dp.\nAnswer: 62.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 11*z**2 - 11*z + 16. Let l be q(-12). What is the highest common divisor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7996 - -7133. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1. Suppose 0 = -4*h + 3 + 1. Let s(t) = -2*t - t - t - h - 2. Let c(q) = -9*p(q) - 2*s(q). Differentiate c(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h + 22. Calculate q(11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102111303 (base 5) in base 10?\nAnswer: -425828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 925928385.9999778 + -925928259. Let t = 150.6 + -23.6. Let j = t - f. Round j to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 20*i + 14. Suppose 24*p - 23*p - 5 = 0. Suppose 21 = s - p*o, -12*s = -7*s - 5*o - 65. Calculate d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-5)\/15*3. Let t(s) = -3*s**2 - 17*s - 3. Let k be t(a). Suppose -3*h + 37 = k. What is the least common multiple of 4 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 - (-18 - (15 - -38)). Solve -3*l = -6, 61*g = p*g + 2*l - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:04 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15445416 divided by -15445416\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - -6. Suppose -5*f = -2*c + 40, -4*f + b = 3*c - 2*f. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - 4.4. Let z = -53 + 52.6. Let v = -411\/4 + 102. What is the third biggest value in v, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 + 8*m**3\/3 - 2*m**2 - 136*m. Let q(n) = -n**2 + 11*n - 3. What is -5*c(g) + 7*q(g)?\nAnswer: -2*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 164. List the prime factors of g.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 58?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104767569, -209535137, -314302705, -419070273?\n\"Answer: -104767568*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k + 27 + 13*k - 27*k.\nAnswer: -5*k + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + (-33)\/(-3). Let f(j) = 5*j - 15. Let w be f(m). What is the greatest common factor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -314, -6, 24 in decreasing order.\nAnswer: 61, 24, -6, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 6310 and 0.5.\nAnswer: 6310.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 58*w + 672. Give z(43).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 432590989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300967.\nAnswer: 3300967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 117468653007 and 1643.\nAnswer: 117468654650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 36 - 38. Suppose -19 = -4*t - 5*v, -k*t = -0*v + 3*v - 7. What is the remainder when 29 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 32, 27, 0, -55, -144, -273?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 22*r**2 - 801*r - 416. What is t(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -6*m + 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504650933.\nAnswer: 673, 3721621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 - -1964. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101001?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 + 75*a**2 - 345*a + 240. Let y(m) = m**3 + 19*m**2 - 86*m + 60. Let o(i) = 2*t(i) - 9*y(i). Factor o(v).\nAnswer: -3*(v - 2)*(v - 1)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + -6 - (90*4)\/10.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -63, -87, -113, -141, -171, -203?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let i(b) = 15*b + 12*b - 31*b - 27*b - 71*b. Give i(y(v)).\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21751*i**3*y**2 + 49*i**3*y - 3*i**3 + 852*i**2*y**2 + 316*i**2*y + 2*i*y**2 + 12*i*y - 2*y wrt y.\nAnswer: 43502*i**3 + 1704*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1791935536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4802197 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 11*u + 0)*(0*u + 4*u**2 + 0*u).\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 98.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018911629 to six decimal places.\nAnswer: 0.001891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47 + 83?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.5 times -0.17?\nAnswer: -3.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 6:03 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133313 - 130?\nAnswer: 133133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140588 divided by 5.\nAnswer: 140588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(72265\/12125 - (5 - 2\/(-2)))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1473, 1 in descending order.\nAnswer: 1, -0.2, -1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1058 (base 10) to base 9\nAnswer: -1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 442 - 441. Let a(h) be the first derivative of h**4 + h**2\/2 - 1. Calculate a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 5*x**4\/24 - x**3\/6 - x**2. Let g = 6 + 1. Calculate the remainder when g is divided by s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 10*f + 17. Calculate a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 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: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5221 = 2*z - 23710 - 44125. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4731440 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -344558?\nAnswer: -344558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -18*a**2 + 4*a - 72. Let g(p) = 21*p**2 - 5*p + 72. Let j(m) = -5*f(m) - 4*g(m). What is the thousands digit of j(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 + 5204 = 3*o. Let a = o + -644. List the prime factors of a.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1300)*-2 + sqrt(260)\/(2*sqrt(10)\/sqrt(2)))*3.\nAnswer: -237*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10\/79 - 2371\/632. Let i = 118\/789 - 320231\/2188686. Let j = 63149\/12483 - i. What is the common denominator of j and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251.099 + -11.099. Is v <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 = 34*z - 226 + 367 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(30))\/sqrt(10))**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:20 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*a + 114 - 114)*(399*a - 213 + 74 + 70 + 69) as u*a + n + m*a**2 and give m.\nAnswer: -5187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 138 - 2 + 18.\nAnswer: 3*w - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/60 + 2*x**3\/3 + 26*x**2. Let v(q) = q**2 - 3. Let b(n) = 3*k(n) + 4*v(n). Let d(h) = -16*h**2. What is d(b(a))?\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1)*(-1)\/2. Let f = 0.1 + -0.7. Let h = f - -3.6. Which is the nearest to -1? (a) h (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2814191 (base 12) to base 9\nAnswer: -16027841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655 divided by 966.\nAnswer: -655\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 4. Let m be w(6). Suppose -314 - 796 = -5*n + 5*v, m*n - 447 = v. Calculate the highest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m + 3*d, m - 2*d = 0. Suppose m = g + 2*g - 3. Let h be (4\/2)\/(4 + 7). Is g at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - s - 19646 = 12236, -5*i - s + 31898 = 0. What are the prime factors of i?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*m + 4*x + 42, 5*x = -3*m + 44. Which is smaller: 16 or m?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + -2*(sqrt(3) + 0) + sqrt(363) + 1 + sqrt(3) + -1))**2.\nAnswer: 240*sqrt(3) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:44 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19525973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 18. Calculate v(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 10) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17564 is divided by 767?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 7:10 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202 - -101?\nAnswer: 21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -634, -2495, -5586, -9907, -15458, -22239, -30250?\n\"Answer: -615*q**2 - 16*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 102979820*h - 102979816.\nAnswer: -4*(h + 1)*(h + 25744954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Suppose -i = c*i - 555. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.3 (c) 3 (d) 4\/5 (e) 158\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0 - 63*b - 305*b - 23 - 24. Is z(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.399855 rounded to 3 dps?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 17. Calculate the remainder when 4 is divided by f(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70716.\nAnswer: 2, 3, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c + 3. What is y(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(243) - (-2 + sqrt(243))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6588 - -1.05571?\nAnswer: -2.60309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 89. Let u be t(-27). Suppose 2*x = -13 + 271. Suppose w - x = -2*k, w - 5 - u = -k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*p - 12, -w + 0*p - 5*p = -3. Suppose -w*j + 7*j - 80 = 0. Suppose 3*a + 5*d - j = 10, 4*a + 4*d = 32. Solve 3*l - a*l = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. Let b = 1 - d. Find the second derivative of -2*q**3 + 2*q**3 + q - q**b wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose d = n - 0. Suppose d*s = 2*s. Solve s*w - 5*w = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:25 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1853*-0.6877.\nAnswer: -1274.3081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.72 + 2.82. Let u = w + 6.9. Which is the nearest to -1? (a) -3\/7 (b) -1\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1753088 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -183 (base 9) to base 5\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45581977 by -3.\nAnswer: -45581977\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -90089*i - 54. Let z(b) = 45045*b + 29. Let s(h) = -3*w(h) - 7*z(h). Is s(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10589172 is divided by 47273?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*x + 87*x = -6. Let p be (-7*(-16)\/168)\/(x\/6). Which is greater: -15\/11 or p?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 + 4*u + 2. Let c be r(4). Let k be (-10)\/14 - c\/(-2). Let w = -128 - -130. What is the closest to k in -3, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 33 + (2 - 4). Let s = 33 - k. Suppose -5*q + 3*g - 8 = 0, 0 = -s*g - 11 - 9. Sort q, 1, 3 in ascending order.\nAnswer: q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 6*a**5\/11 - 8874*a**4\/11 + 549828*a**3\/11 + 2305992*a**2\/11 + 2341584*a\/11 = 0.\nAnswer: -2, 0, 69, 1414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*7\/2*2. Let t = b - -45. Suppose 0 = -5*f + 4*f + 13. What is the greatest common factor of f and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f + 58. Determine t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:44 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 + -794 - (-2 + 5 - (-3 - -29))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 73568*v**2 - 588430*v + 514864.\nAnswer: -2*(v - 36776)*(v - 7)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -758\/3 - -252. Let i = 9 + -6. Let m be (-5 - i)\/4 + 1. Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 - 5*w + 3. Let d be p(6). Let m(h) = h**3 - h**2 + 4*h - 3. Let a be m(3). Let q = a + d. Solve q = -4*s + 8 + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 19. Let u(t) = t + 13. Let p(o) = -5*d(o) + 8*u(o). Let j be -1*(3 + 4) - 1. What is the remainder when p(j) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 o, and 1 r when three letters picked without replacement from {m: 1, d: 1, r: 2, o: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 - -0.1821.\nAnswer: -0.1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300809.333 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-6)\/(-3) + 4. Let b = -1 + k. Solve b*u - 6 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/(-12)*1)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5, -0.037?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 11*v**2 + 20*v - 101. What is m(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19\/6 + 2887\/906. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243066 and 18.\nAnswer: 729198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*t + 5*s, 0 = -4*t - 5*s + 8 + 7. Suppose -2*o - 16 = -4*o. What is the smallest common multiple of t and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142*c - 142*c + 4*c**4 + (-4*c**2 + c**3 + 4*c**2)*(-2*c - 2*c + 6*c) + 4 - 4 - c**4 - c**4 + 3*c**4 + c**4.\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11079.\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11226 is divided by 764.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143\/4 - 36. Sort 1\/2, y, 2.\nAnswer: y, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18706 + 18706 + 224*q + (-3 + 0 + 2)*(-q + 1 - 1) - q + 2*q + 0*q - 2*q - 3*q + 6*q)*(7 - 3 + 9) as n*q + d and give n.\nAnswer: 2951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3.12, -4\/5, -2 in increasing order.\nAnswer: -2, -4\/5, 1, 3.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 178005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 + 68 - m**2 - 380 + 41*m + 305 as c*m**4 + i*m**3 + j + u*m**2 + x*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (15 + -32) - (-2 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 0*g**3 - 3*g**3)*(10 - 10 + g**2 + (2*g**2 + 2*g - 2*g)*(1 - 3 + 0)).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 - 11*g. Let d(k) = 2225*k**3 + 276*k**2 - 39*k - 2. Let n(l) = d(l) - 4*q(l). Find the third derivative of n(o) wrt o.\nAnswer: 13326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 12*o**2 - 13*o + 1. Let d = -4 - 9. Let a be c(d). Calculate the remainder when 33 is divided by (-7)\/a*-3 + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 8*y**2 + 7*y + 9. Let m be (-4)\/(-5)*(-10)\/(-4). Suppose 0*h = m*h + 14. Does 6 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*(sqrt(133) - sqrt(133)*1) + sqrt(133)))\/(-2*sqrt(28)\/sqrt(4) - (sqrt(7) + sqrt(112)\/sqrt(4))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 19) + (-10 - -2) - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -16, -3, -9, 2, 423, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 112 - (256 - 268)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 33.\nAnswer: -68\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and ((-8)\/4 - -6 - 8) + 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207 - -204. Let u be o - (204\/20)\/(-3). Factor 4\/5*s**4 - 4\/5*s**2 + 2\/5*s**5 + 0*s**3 - u*s + 0.\nAnswer: 2*s*(s - 1)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p, -4 = 2*w + 2*p. Which is the third smallest value? (a) -1 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspppssspsssjsssp. What is prob of sequence sjs?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -19*b**2 - 216*b + 287. Let f(x) = 3*x**2 + 36*x - 47. Let s(h) = 13*f(h) + 2*v(h). Determine t so that s(t) = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/17 + 99\/85. Let f = 23\/15 - w. Let j be 2\/(-3) + (-7)\/(-6). Which is the third smallest value? (a) 0.4 (b) j (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 28*v - 112 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**44*c**(-3\/4)*c**(-2\/21) assuming c is positive.\nAnswer: c**(3625\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 14601 = -3*n, -2*f - 9738 = -3*n + n. Is 4\/10 + n\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 50*c + 6. Suppose -867 = 48*f - 99*f. Determine h(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -46. Let x be 1 + 27 - 1\/(o - -1). Calculate the highest common divisor of x and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4669 - -4714. Let r(t) = 8*t**2 + 4*t. Let k be r(-3). What is the highest common factor of k and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from {k: 1, p: 3, n: 5, b: 11}.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 262570 and 70?\nAnswer: 262570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x - 6. Let z be 4\/(-3) + (3 - -2 - 308\/84). Give g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z + s = -76, 3*s - 83 + 87 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0108588922 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/((-1)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 169 = -71. Let r be (n - -608)\/(3\/(-100)). Round r to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52268 divided by -4\nAnswer: -13067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157\/(-264) + 11\/(-264)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -6. Let z be 66\/55*c\/4. Let j(v) = 2*v - z*v + 2*v + 0*v. Let g(t) = -9*t. Determine g(j(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -1 (b) 0.2 (c) -2\/9 (d) 8 (e) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -751 + 241. Let v = -518 - t. Sort -3\/4, v, 4\/5, 0.3 in descending order.\nAnswer: 4\/5, 0.3, -3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18764777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 502*v**2 + 13 - 8 - 272*v**2 - 281*v**2.\nAnswer: -51*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -595 greater than -36.956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 0*g**2 + 0*g**2 + (0*g**3 + 2*g**3 - g**3)*(3 - 1 + 4) + 2*g**3 + g**3 - 2*g**3)*(3 + 0 - 5).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 349, 351, 353, 355?\n\"Answer: 2*w + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5 + 7. Let o = -3 + c. Find the third derivative of -o*j**2 + j**2 + 2*j**6 + 2*j**6 wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -10b7?\nAnswer: -10c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - 660e?\nAnswer: -6559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 2. Let n(s) be the first derivative of -s**4\/6 + s**2 - 1. Let d(z) be the second derivative of n(z). Determine d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a*a)\/(a*a*a**(-1\/16)) assuming a is positive.\nAnswer: a**(81\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 23 - 38 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/7))\/(h**(-1)*h)*h**1\/(h*h**6*h*h))\/((h**(-2\/11)\/h)**(-7)\/((h*h**(-1\/3))\/h)**(-16)) assuming h is positive.\nAnswer: h**(-2395\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 1057113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*l**3 + 521676523*l - 521676523*l.\nAnswer: -53*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1128 = 8*j. Suppose -2*m + j = 3*m + 4*v, -5*v = 5*m - 375. Suppose 18 = z - 2*r - 12, -4*z - 3*r + m = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-36))\/((-4)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 10*d**2 + 33*d + 11. Give m(-13).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.12 or -38?\nAnswer: -4.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((396\/(-528))\/(18\/(-80)))\/(15\/144).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 655961\/7 + -93709. Let x be 2790\/(-8)*(-5)\/6. Let f = x - 291. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47852 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n - 5*n. Let t be (2\/3 + 0)\/(6\/(-27)). Let d be -7 + 11 + t + 2. Calculate the highest common factor of d and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192200 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 26*c**2 - 747*c - 281. Give n(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 7*i - 5. Suppose 2*o = 1 - 9. Calculate t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/21 - 10\/35. Suppose p = 51*o - 50*o - 10. Which is bigger: o or 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 - 11 = 0. Let n(k) = 2*k**3 + 6*k**2 - 9*k**2 + 4*k**3 + 4*k - k - 1. Let j be n(z). Calculate the greatest common factor of j and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9\/4 (b) 3 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*o - 3*o, -o = 4*k - 163. What is the lowest common multiple of k and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -8299\nAnswer: 1327.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66518416?\nAnswer: 2, 17, 244553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y - 4*y)*(9814 + 114*y - 9814)*(-y + 1 - 1)*(-3*y**2 + y**2 + 4*y**2).\nAnswer: 1140*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t + 12. Let k = t + 16. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 311856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5937967712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4*-1*-20. Suppose 0 = 3*i + 2*i - h. What is the remainder when i\/(-6) - 9\/(-2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10772.\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -173089710 rounded to the nearest 100000?\nAnswer: -173100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddt when three letters picked without replacement from {u: 1, d: 3, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - g - 11. Calculate y(-7).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*q - 4 + 4 - q to t*q + z and give t.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r - 52. Let h be u(18). Sort -3, -5, h, 4\/5.\nAnswer: -5, -3, 4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.09 - 2.0193. Let n = -48.0707 + f. What is the biggest value in n, 0.6, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837150?\nAnswer: 2, 5, 7, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 278, 554, 830?\n\"Answer: 276*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -74?\nAnswer: -5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-190)\/(-8) + 21\/(-28). Let q = -6 + a. Solve 5*h - q = -3*p, -h = -2*p + 1 + 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132154 is divided by 66045.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyryeleerrhre. Give prob of sequence yrhr.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/18*14022\/(-10906)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 14*m - 6. Let p(q) = -28*q + 15. Let g(a) = 2*p(a) + 5*y(a). Let u(r) = -6*r**2. Give g(u(t)).\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 868?\nAnswer: -867.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1534 + 2178. Suppose 2*t + 178 = a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100001011 (base 2) in base 7?\nAnswer: -36435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:32 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.93847 rounded to 2 decimal places?\nAnswer: -98.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/8159717 and 26\/1645?\nAnswer: 285590095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26001073.\nAnswer: 7, 3714439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-17 + 11 - 4)*(1 + 16*m - m + 0*m).\nAnswer: 150*m + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8446 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: What is the remainder when 9115 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8275, 8278, 8283, 8290, 8299?\nAnswer: 8310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/231429 and -131\/264.\nAnswer: 1851432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 16681*d = -16683*d + 116, -3*g - 1160 = -22*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -2*p**3\/3 + 2*p. Let w(d) = -2*d**2 - 2*d**2 + 3*d**2. What is b(w(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 144614206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -4, 62\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-16)*4\/(-34). Suppose 29 + 245 = 258*j + 16. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1\/5, 4, 2\/45, -4.54, 1\/2.\nAnswer: -15, -4.54, 2\/45, 1\/5, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 18 = 2*i, -2*i + 6*g - 8*g - 12 = 0. List the prime factors of 35\/25 + i\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1591654, -3183312, -4774972, -6366634, -7958298, -9549964, -11141632?\n\"Answer: -b**2 - 1591655*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + y**2 + 4 - 5 - 1. Let r be k(-4). Let j(o) = o**2 - o - 2. Give j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/((-1)\/(-4)). Suppose -3*l + p = -17, -5*l + 15 = v*p + p. Suppose -l*d + d = -8. Solve -1 = d*t - 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 1)*(1 - 4 + 2) + 4 - 2 - 4)*(2*t - 5*t + 2*t) as d*t + i and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*l - 7*m - 23, -3*m = l + 13. Let v(r) = -13*r**3 - r**2 + 1. List the prime factors of v(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -640 + 642. Let k(u) = 9*u**2 + 2*u**2 + 2*u**2 - 3*u**b - 14*u**2. Let o(r) = 16*r**2. Determine k(o(i)).\nAnswer: -1024*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p**2 + 49030*p. Let u(s) = -2*s**2. Calculate t(u(l)).\nAnswer: -72*l**4 - 98060*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 3. List the prime factors of (5 - (0 + c)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5513766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -33. Let a = -17 - p. Let m = a - 6. Solve 4*u + m + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (41 - 37)\/(8\/10). Let j be (-4)\/10 + 96\/(-10). Let c = j + h. What is c rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/5 - 1092028*n\/5 + 21836560 = 0.\nAnswer: 100, 545914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36 - (-2 - 0)) + (8 - 5). Solve v = 2*m + 43 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(15*z + 4 - 5 + 0)*(z**2 + z**2 - 7*z**2).\nAnswer: 75*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65765347 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21062241?\nAnswer: 3, 19, 41057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 - 6*k + 2 + 113*k + 4 - 9*k - 2*k**3 - 52*k as h*k**3 + r + c*k + y*k**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + b = -3*c + 2, 0 = 3*c + 5*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13456\/3*l**3 + 176*l + 1740*l**2 + 16\/3.\nAnswer: 4*(4*l + 1)*(29*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1515303\/11 - -137757. Suppose 18 = -4*x + 2. Let w = -1 - x. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**3 - 4*f**2 + 4*f + 12. Let d be m(-2). Calculate the greatest common factor of d and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**6\/15 + 8*v**5\/25 + 3*v**4\/10 + 12. Factor k(i).\nAnswer: 2*i**3*(i + 1)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/13)\/v)**(-8)*v**(5\/8)\/((v\/(v*v\/v**(-1)))\/v) assuming v is positive.\nAnswer: v**(1017\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c**2 - 14*c + 49. Is y(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2592 + 2567. What is the nearest to -3 in -0.4, -0.03, 4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146858240 - -5?\nAnswer: 146858245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -747 - -1240. Suppose -73*l + 669 = -21*l - 215. Calculate the highest common factor of q and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (124\/(-93)*12\/(-32))\/((-2)\/(-3756)). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -17 - (10 - ((-15 - -28) + -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.5 - 10. What is the third biggest value in 3\/7, x, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -259, -261, -263, -265?\n\"Answer: -2*q - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2318, -4084, -5888, -7748, -9682, -11708, -13844, -16108?\n\"Answer: -3*h**3 - h**2 - 1742*h - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 - 225. Calculate the remainder when 13 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3240 - 3240.03686. Let l = y - -286.33686. What is l rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/10*96\/36960?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10505\/(-99) - (-285 + 179).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 4264755?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(48) - (sqrt(99) + 5))*4.\nAnswer: -10*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**5 + 2444*t**4 - 12938*t**2 wrt t.\nAnswer: 180*t**2 + 58656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - h + 9 = 0, -20*x - 3 = -23*x - 3*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6 + (-1 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 243*g**3 + 2*g**2 - 4*g + 2. Let f be q(2). Let v = 11713\/6 - f. Find the common denominator of v and -29\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3149*u**3*w**3 - 47*u**3*w**2 - u**3*w - 40*u**3 + 2*u**2 + 4*u*w**2 - 368*u*w + 4 wrt w.\nAnswer: -18894*u**3*w - 94*u**3 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*x - x. Suppose 3*w + 4*q = 8 + x, -2*w + 11 = q. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 114?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l - 11. Let j(u) = -u**2 + 5*u + 12. Let h be j(6). What is the tens digit of w(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 32. Let l be n(5). Suppose -l*v + 3247 = -260. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3955475 to the power of 1\/2, to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 8:09 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5827633 is divided by 35973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 + 6*w**2 + 8*w + 8. Suppose 7*y - 13*y + 30 = 0. Let g(i) = 2*i**3 - 4*i**2 - 5*i - 5. Determine y*x(o) + 8*g(o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -127 - -141 - (13 - 0) - (12 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 19052 (c) -3 (d) -57 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**6 - k**4*t + 71*k**3 + 24*k**2*t - 15*k*t wrt k.\nAnswer: -240*k**3 - 24*k*t + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = -0*i - 5*i, 4*u + i = 20. Suppose -2*k - u = -3*k. Suppose 45 + 25 = k*c. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*j**2 + 5*j**4 + 7*j**4 + 3*j**4 + 3*j**4 wrt j.\nAnswer: 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 - 5*a + 4. Calculate the remainder when 26 is divided by b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -147, -223, -301?\n\"Answer: -n**2 - 71*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*h - 179*h - 100*h - 21*h to the form l + b*h and give b.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24085*v**3 - 8*v - 1649 wrt v?\nAnswer: 144510*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = -3*t. Let x(z) = z**3 - 7*z**2 - 8*z - 1. Let c be x(t). Let w(s) = 11*s**2. Calculate the lowest common multiple of 4 and w(c).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -4 - (5 + (5 + 4 - -19) + 8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Is n(-8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -426a6a3 (base 12) to base 13\nAnswer: -27b7c2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1626471 by -33.\nAnswer: 49287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {v: 1, z: 1, u: 5, g: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*l = -20, -4*x = -x - 3*l - 18. Suppose -3*q + x*q + 4*m - 2 = 0, -2*m = -4*q + 8. Factor -1\/4*c**q - 3\/4 + c.\nAnswer: -(c - 3)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 564.46819 from -421.47.\nAnswer: -985.93819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51519 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -3. Let u be (-28)\/5*y\/(-6). Calculate the highest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 133 - 162 = -4*j, n = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13295154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 574 = -1204 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 577085910 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: Simplify (m**(-2\/5)\/m*m**3)**42 assuming m is positive.\nAnswer: m**(336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35827 - 35830. What is the closest to -9 in -100, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 5*g + 2*w, 0*g = -5*g + 3*w + 174. What is the remainder when (-42)\/5*25\/(-2) is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 38997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 2 = 2*s + 4*t, 0 = -4*t - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2067 and 6591?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/3 + 4*w**3 - 18*w**2 + 9*w. Factor g(n).\nAnswer: -4*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2106 = -3*z + 2610. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378218593 minus -0.5?\nAnswer: 0.878218593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45326184?\nAnswer: 2, 3, 37, 51043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(3*m**4 + 2*m**4 - 3*m**4) + (-m**2 - 8*m**2 + 0*m**2)*(0*m**2 + 0*m**2 - m**2).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137723 is divided by 117.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 44*u**2 + 47*u - 27. Let d be b(43). Is 144 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/12656 and 73\/7232?\nAnswer: 50624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 110601?\nAnswer: 110564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*b + 160 - 195, -140 = -5*s - 2*b. Solve 50 = 10*y + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65a + -a7?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 4) + (-10 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((30*2)\/3)\/1. Suppose 2*q - i - 18 = 0. Suppose 2*t + 0*n + 4*n - 38 = 0, n + q = t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 585*b**2 - 1185*b + 590. What is g(197)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. What is the second derivative of 2*v**4 - v + 0*v**2 + 0*v**n + v**4 wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/(h\/h**(-2\/45)))**(-39) assuming h is positive.\nAnswer: h**(1859\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:48 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669105 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g - 7. Let x be f(11). Suppose 3*t = -2*r + 18, -4*t = 2*r + 3*r - x. Suppose 5*s + 0 - r = 0, 4*c + 2*s - 66 = 0. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21992, 21980, 21962, 21938, 21908?\nAnswer: 21872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 192*a - 239*a - 2.\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6 + (1 - 0). Let x be (-2 - (5 + -5))\/(1\/2). Which is the third biggest value? (a) -0.4 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 136, 404, 922, 1774?\n\"Answer: 14*c**3 - c**2 + 7*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -1407*a**6\/5 - 5635*a**2\/2 + 10759*a. What is the first derivative of z(c) wrt c?\nAnswer: -33768*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -20*t. Let l(h) be the first derivative of -139*h**3\/3 + 1643. Calculate n(l(c)).\nAnswer: 2780*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/10)\/b*b**(1\/22)*b*b*(b**(-5))**(1\/4))**(-9\/8) assuming b is positive.\nAnswer: b**(207\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*n = 196, -3*f + 62 = -2*n - 114. Calculate the remainder when f is divided by (-174)\/(-10) + 34\/(-85).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2 + (-6)\/(-15) + (-12921)\/365?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 232\/7 (b) -4\/3 (c) -2 (d) -1 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 12536 and -33\/113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 1. Give t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 8:11 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.1, 2\/105, -4.2, 0.2 in descending order.\nAnswer: 0.2, 1\/6, 2\/105, -0.1, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4441*z - 4446*z - 40 = -13*f, z + 5 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 + t + 2. Let g(z) = -48*z**2 - 5*z - 76. Give g(q) + 5*h(q).\nAnswer: -73*q**2 - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2636, -5292, -7950, -10610, -13272?\nAnswer: -15936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + p = -1, 4*p = 4*n + 3*p. Let z be 12\/8*2\/n. Does 28 divide (-2 - 0) + (-166)\/(z\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/7)\/(17\/((-714)\/(-24)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1.4, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 2, 51 in descending order.\nAnswer: 51, 2, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 26106.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.457 + -4.543. Is 5 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198.68 - 196.68. What is the closest to 38 in -2\/5, -1\/3, 2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/(-12)*4)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1\/10 (c) -2\/31 (d) 21\/37 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1544*i + 20077. What is b(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t, 9*f - t = 7*f + 60. Let z(y) = 10*y - 230. Let a be z(f). What is the greatest common divisor of 128 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q + 173. Let x be d(-23). Let p be -1*(0 - (-9)\/(-3)). Calculate the greatest common divisor of x and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, f: 7}. What is prob of picking 3 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-6\/17))\/(q\/((q*q\/q**(-2\/37)*q)\/q)))**(-12\/5) assuming q is positive.\nAnswer: q**(-25716\/3145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*p + 4, 3*p + 2*p - 10 = 4*y. Suppose 2*i - 2*z - 20 = y, 0 = -2*i - 22*z + 26*z + 24. Solve 7*r + 5 = i*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.4 + 246.6. Let g = -298 + a. Is 14 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + 5*z + 7. Let i(q) = -4*q**2 + 5*q + 6. Determine -7*i(h) + 6*v(h).\nAnswer: -2*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 10*i + 96699. Is v(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 6, 5*f + 32 + 10 = 4*d. Let q be 44 - (-4)\/f*3. What is the greatest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c - 6. Let h(b) = -b**3 - 8*b**2 + 9*b - 4. Let j be h(-9). What is the remainder when 41 is divided by w(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:48 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3, 4, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 13 = -9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/144)\/((-6)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -63*j**3 - 1132*j**2 - 16*j + 80. Calculate the remainder when p(-18) is divided by 101.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387792, 388054, 388316, 388578, 388840, 389102?\nAnswer: 389364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1535 is divided by 69?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2*r**3\/3 + r**2 - 2*r - 1. Suppose 3*p + 90 = 5*p. Let f be 4\/18 + 80\/p. Determine a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 511 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**2 + 151 - 3*c**5 - 151 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/880*-187*-4*1\/5\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 26*q - 16. Let x be v(19). Is x\/(-2) - (5 + -9) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 - 45*g - 9. Let h(x) = -x**2 + x - 1. Calculate -5*h(y) + u(y).\nAnswer: -y**2 - 50*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*s + 105*s = 56 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by 3596.\nAnswer: -73\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a - 4. Suppose 0 = 10*t - 4*t + 12. Let u be t\/(-2 + 0)*-1. Let n(v) = -v. What is u*w(y) - 5*n(y)?\nAnswer: y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 990761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 196*-0.3765\nAnswer: -73.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/88 and 71\/6152.\nAnswer: 67672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.2 (b) 649 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from mmmdoooooddoooddd.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnnnnessenn. What is prob of sequence es?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*v = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}