diff --git "a/data/dm_maths/full_data_1/10173_11255.jsonl" "b/data/dm_maths/full_data_1/10173_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10173_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 2 times 98\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = 26*d - 7 + 12 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499347 is divided by 2549?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a1 (base 13) to base 15.\nAnswer: -68d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*p**2 + 0 + 2\/3*p = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/120 - o**5\/15 + o**3\/3 + 38*o**2. Calculate the remainder when 129 is divided by n(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59991\/12 - (-27)\/36.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 + 1243*b + 5012. Determine w(182).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1352, -9310, -30938, -73070, -142540, -246182, -390830?\n\"Answer: -1139*j**3 - j**2 + 18*j - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 140?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/7 + (-2)\/(-7). Suppose -4*w - 2*l + 4*l = -26, t = 3*w - 5*l - 37. Solve 0 = -w*q + q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -11*h + 39. Let a = 6 + h. Solve a - 7 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let y = 10 - 1. Let w(a) = y*a**2 + 91 - 91. Calculate l(w(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 r when three letters picked without replacement from rwwwwwrrwwrwww.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3211 divided by 60.\nAnswer: 3211\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 23*o + 561. Let a be ((-2)\/(-14))\/(o\/77). Factor -1\/3*b**2 + a*b**3 - 1\/3*b + 0 + 1\/3*b**4.\nAnswer: b*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -12, v - 6*v = -d - 12. Suppose -d*m + 46 = -65. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20462 (base 7) to base 3\nAnswer: -20220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1\/2, 5.\nAnswer: -1, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003511598694 rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*h**3 - 256*h**3 + 131*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8341311*o**2 - 16676834*o**2 + 8335524*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = -0*l. Let r(o) = -2*o**3 + 6*o**2 + 6*o + 9. Let n be r(4). Factor h**l - 2 + 2*h + 2 - n - 2*h**2.\nAnswer: -(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 3*n**4 + n + (6*n + 14*n + 4*n)*(0*n + 0*n - 2*n**3).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let f be (18\/21)\/(252\/196). Which is the closest to 1? (a) 3 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 391\/21 + -128\/7. What is the third smallest value in t, 0, -0.2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.381345 or -1.2?\nAnswer: 19.381345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17043549 divided by 1.\nAnswer: -17043549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127 or -1326?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162951079 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1)\/((-19)\/(-38))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99941 is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-7)\/(28\/64) + 2. Let h be (-2 - 51\/(-9)) + 10\/w. Solve -h*m - 11 = b, 5*m = 2*b - b - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*r - 366, -9*a - 16 = -13*a. What are the prime factors of r?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 43. Let v be 6\/o + (-16)\/7. Let g be (4\/6)\/(v\/(-75)). Solve -g = -6*k + k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 21. Let m = i - -10.4. Let f be 4\/(-18) + 11\/9. What is the second biggest value in -5, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*m = -96, 1 - 121 = 5*u + m. Let f(k) = -k**3 - 8*k**2 - k - 7. Let w be f(-8). Let n be w\/((-1)\/4) - 20. Is u greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*b + 6*b + 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 23 + -2 + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4648)\/560 - 6\/(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 40983*h - 559868763.\nAnswer: -3*(h - 27322)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28450 * -9.\nAnswer: -256050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (2 + 4\/18). Let o = 0.3 - 0.4. Let c = 36 + -69\/2. Sort n, o, c in descending order.\nAnswer: c, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 + 65 - (0 + -2)) + (-115 - -41).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (50 - 4) + 2 + (1 - 2). Suppose -r*g + 44*g + 429 = 0. What is the greatest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdd when three letters picked without replacement from {g: 3, d: 8, i: 7, s: 2}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/20 + 3*p**4\/4 + 7*p**3\/6 - 9*p**2\/2 - 8*p. List the prime factors of d(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/((-4)\/(-6)). Let h = u + 3. Let v = 2684 + -2679. Sort -9, v, h.\nAnswer: -9, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twttwtwtwtwtwwtt. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-1) + -7 + 4. Let l(y) = 5 + 3*y**2 + b - 6. Let h(g) = 3*g**2. Calculate l(h(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -59374.\nAnswer: -59373.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*(h*h\/(h*h\/h**(-2)))\/h)\/(h\/(h**(1\/3)\/h)*h*h**0))\/((h**(-2\/7)*h)\/(h**(-2\/9)*h)*h\/(h\/h**(5\/2)*h)*h*h**(2\/9)*h) assuming h is positive.\nAnswer: h**(-1049\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 243*r - 239*r, 0 = -2*y + 9*r + 68. Solve -5*l = -5*h + 25, -4*l - y = -3*h + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.4 (b) -2\/7 (c) -50\/9 (d) -2\/205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38315 + 651730022.\nAnswer: 651730021.61685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -2)*(2 + -3). Let i(y) be the third derivative of y**6\/120 - y**5\/20 + y**4\/24 + 2*y**3\/3 + 10*y**2. Determine i(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001112 - -1111102102?\nAnswer: 1022100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utut when four letters picked without replacement from ooouttut?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5. Let o(b) = b. Let m(i) = -i**2 + 5*i + 7. Let x be m(6). Let h(u) = x*o(u) + p(u). Determine h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**3 + 129*t**2\/4 + 57*t\/4 - 105\/2.\nAnswer: 3*(t - 1)*(t + 2)*(8*t + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + (sqrt(684) - (sqrt(684) + -2))**2*2 + 4 + -5)*-3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-168)\/756 + (-58)\/(-18) + -2 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200969969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8640\/(-32400)*30\/(-196)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944350833.\nAnswer: 3, 17, 1621, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1716708 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 37*h**2 - 29*h - 673. Calculate d(-9).\nAnswer: 2585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 296*d**2 - 10*d + 21. Suppose -5*r - 4 = -6*r. Is v(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8369, -8318, -8233, -8114, -7961, -7774?\n\"Answer: 17*h**2 - 8386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.5 (b) 1\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9832683 rounded to one dp?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16.74 times -0.466\nAnswer: -7.80084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2, 17227, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.4 rounded to the nearest integer?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 4*q**2 + 1. Let n(o) be the third derivative of -o**5\/60 - 7*o**4\/24 - o**3\/3 - o**2. Let d be n(-6). What is the units digit of r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 677*r**2 - 11721*r - 2079. Give s(-355).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 302, 0.041, -4.\nAnswer: -16, -4, 0, 0.041, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321213022 (base 4) to base 13.\nAnswer: -145961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 2*h - 7. Let o be (142\/3 + -1)\/((-9)\/(-81)). Let n = o - 421. Determine s(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (0 - (-2 - -25)) + (2 - 97)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(-17*n + 21*n - 8*n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299334 is divided by 127.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 13 - 6 - 3*w**3.\nAnswer: -5*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 - -372. What is the second biggest value in 4, 1\/8, i, 0.24?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910785 to the power of 1\/2, to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7*n + 24 = 0. Suppose 30 = z + 4*y - y, -n*y = -4*z + 56. Calculate the smallest common multiple of 12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1862711 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*x - 9*x + 5622 = 0, 6*x = 0. What are the prime factors of q?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 353, 448, 569, 710?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 20*w - 17. Suppose -5*z + 49 = 4*f, 4*f + 4 = -4*z + 52. Is n(f) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q**3 + 7*q**2 - 7*q + 10. Let r(j) = -4*j**3 + 2*j**2 - 2*j + 3. Calculate -2*m(c) + 7*r(c).\nAnswer: -2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 259, 389, 519?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88935 divided by 3.\nAnswer: 29645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 + 2*m + 2. Suppose 0 = 4*r + 13 - 17. Let t(p) = p**3 + p + 1. What is r*k(s) - 2*t(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2. Let n(r) = -135*r**2 + 2*r. Give n(f(l)).\nAnswer: -540*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/5208 and -71\/132804?\nAnswer: 265608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -55, -133, -265, -469, -763, -1165, -1693?\n\"Answer: -3*p**3 - 21*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/584280378 and 19\/22.\nAnswer: 584280378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -24. Let k = -15 + g. Let x = -10 - -12. What is the smallest value in -1, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-10)\/(-8)*(-100)\/(-75).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 98 = r, -25*q = -24*q - 4*r - 49. Let m(f) = 6*f + q*f + 20*f + 8*f + 49*f. Let b(u) = -2*u**2. Give m(b(s)).\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223234332 (base 5) in base 4?\nAnswer: 3302131010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/25)\/(1172\/(-14650))*(-7)\/14.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*1\/264*6*1\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2253244731 + 2253244731 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - w + 1 = 0, 5*p + 2 = 2*w. Suppose c - 10 = -9. Let r = -238\/3 + 712\/9. Put p, r, c in decreasing order.\nAnswer: c, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26\/3 + (4\/3 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u. Let i(p) = -30*p + p**2 + 15*p + 15*p. Calculate o(i(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287490 and 10115?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -31*p - 284. Let s be g(-9). Let u(l) = -8*l**3 - l**2 + 11*l + 22. What is the units digit of u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26431, 26475, 26529, 26599, 26691, 26811?\nAnswer: 26965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.5 + 266.5. Let k = w + -238. What is the second biggest value in 1, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765 and 510.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57711 = 3*a - 2*y - 40987, -3*a - 5*y = -98684. What are the prime factors of a?\nAnswer: 2, 3, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.17 - -2.83. Let n = p + 105. Let b = -112 + n. Is b not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rewl when four letters picked without replacement from {l: 2, s: 2, r: 1, w: 1, z: 1, e: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -530, -1078, -1618, -2144, -2650, -3130, -3578?\n\"Answer: p**3 - 2*p**2 - 549*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -622*c + 15284. Determine j(27).\nAnswer: -1510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.385 + -0.685. Suppose 4*g = 5*x - 36, 4*g + 4*x + 68 = -4. Let b be g\/(-3) + 1\/3. Sort d, b, 2 in ascending order.\nAnswer: d, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/35621?\nAnswer: 3\/35621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -23*s + 25*s - 82916, -x - 124374 = -3*s. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4209.13 plus 1323?\nAnswer: -2886.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77\/24 - -15\/8. Let p = -5 + -3. Let h = p + 7. What is the nearest to h in -4\/9, -2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63277?\nAnswer: 63277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Let y(h) = -o*h + 6 + 6*h + h. What is the remainder when y(9) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*z + 23550*k - 23552*k, -56*k = -5*z - 473 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 19 + 42 = 0. Suppose 4*p - i + 2*i = -15, 2*p - 4*i + 30 = 0. Sort 1, p, y in descending order.\nAnswer: 1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**3 + 8*d. Let p(n) = -2*n**2. What is p(f(a))?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*z - 12 = 0, 2*s + 2*z = -0*s + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42282098.0494 + 384.\nAnswer: -42281714.0494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, -6\/7, -2, 0.2, -1\/5, 0?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/7693258?\nAnswer: 1\/7693258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 16*x**2 - x - 12. Let u be a(-8). Let d(b) = 17*b**2 - 2*b - 9. Let z(s) = -8*s**2 + s + 4. Calculate u*d(i) - 9*z(i).\nAnswer: 4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 795*s**3*t + 2*s**3 + 173*s**2 wrt t.\nAnswer: 795*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -105*(56\/18)\/(2\/(-3)). Let b(x) = a - 490 - 4*x**2. Let g(q) = -q. What is b(g(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 42, 46, 50, 54, 58?\n\"Answer: 4*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 260?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4, 4*d = -2*m + 46 + 46. Suppose 0 = -20*i + d*i - 25. Let s = 5 + -3. Solve -2*n - i = -3*q, -7*n + 2*n - s*q + 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 325?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Let a(g) = 4*g**3 - 3*g**3 - 3 - 1 - 4*g + 3*g**2 + y. What is the units digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.36 * -336317.1\nAnswer: -457391.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-140))\/((-33)\/(-165))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/(11\/((-33)\/2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112627 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**3 - 2*z**2 + 186001*z - 307513 wrt z?\nAnswer: 6*z**2 - 4*z + 186001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -20, -43, -88, -161, -268?\n\"Answer: -i**3 - 2*i**2 + 6*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u**4 + 152636*u**3 + 29111936*u**2 - 66198404*u + 14727720 = 0. What is u?\nAnswer: -9345, -197, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0533 and -259.1?\nAnswer: -13.81003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.30857613 rounded to two dps?\nAnswer: 9.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 174 = 3*p, 200 = -4*j - 0*j + 4*p. Let q = j + 76. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -38*t**3 - 4*t - 3. Let x be r(-4). Let q = -1676 + x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**9\/1680 + t**5\/15 + t**4\/4 + 3*t**2. Let p(k) be the second derivative of q(k). Find the first derivative of p(n) wrt n.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246 + 243. What is the nearest to 1 in 7\/20, w, -1\/2?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -211, -252, -321, -424, -567?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82202?\nAnswer: 2, 23, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4730402 to 2 decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 + d**4 - 13826*d**3 - 14*d**2 - 47*d - 1?\nAnswer: 120*d**2 + 24*d - 82956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1484.000317 - 1484. Round f to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82301.26 years to centuries.\nAnswer: 823.0126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 5. Let h(n) = -n. Calculate 10*h(o) + j(o).\nAnswer: -15*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**3 - 3*d + 2*d**2 + 8*d - 5*d**2 + 11*d**3 + 4. What is a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r - 15*r**2 + 0 - 2\/39*r**3 - 1\/390*r**5 - 1\/52*r**4. Solve v(x) = 0 for x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*q - 10*o + 6, -3*q = 5*o. Let b(d) be the second derivative of 0*d**3 + 0 - 1\/3*d**4 + 2*d**2 + q*d. Differentiate b(j) with respect to j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3178491 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113391.\nAnswer: 269, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/3 - 8*h**2 - 9*h + 50\/3 = 0.\nAnswer: -2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*j**3 - d*j**2 + 14815*j**5 + 2090*j**2 wrt j?\nAnswer: 6*d + 888900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2.173.\nAnswer: -1.0865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.68 + 2194.\nAnswer: 2196.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -220210202210200?\nAnswer: 220210202210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.341 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 16439?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 0)*6 - (sqrt(4)\/sqrt(2) + -3)**2.\nAnswer: -11 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let y(j) = -13*j**2 + 6*j + 2. Let x(g) = g. Let r(f) = -12*f + 479. Let t be r(40). Let o(d) = t*y(d) + 6*x(d). What is o(p(u))?\nAnswer: 13*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) - ((-308)\/52 - -7). What is the third biggest value in 2\/13, j, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 3248085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/18 - 308792\/(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80 and 200.767.\nAnswer: -16061.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3004.264 + -2992. Round a to 1 decimal place.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -15, -i = -3*u - 4*i - 3. Let v = -19\/5 + u. Let l = 19\/75 - -2\/25. Which is the second smallest value? (a) v (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25768 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, 7\/281, 2\/7, -2, -5?\nAnswer: 7\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10516664 (base 10) in base 9?\nAnswer: 21708132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232925 and 42350?\nAnswer: 465850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(4\/4))\/((-3)\/114). Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*-53*54*(-508)\/(-6858).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(1 + m - 1)*(52 + 34 - 31)*(-2*m + 4*m + 0*m).\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z - 2*f, 4*z - 15 - 18 = 5*f. Let u = z + 0. Let i be (-1 + u)*(-5)\/(-10). Are i and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 5*v**2 + 143*v**3 - 86351 + 86351 - 137*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/11 + 1189940*d**2\/11 - 21419406*d\/11 + 96388056\/11 = 0 for d.\nAnswer: -594988, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-48)*(-2)\/(4\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 511*y + 2060. Calculate b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -133*c + 8510. What is m(64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/21) + 10\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14 - 11 + v**3 - 15 + 5*v**2 + 15 - 3*v + 8. What is c(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 4*b + 1. Let q(j) = j - 10. Let l(t) = 4*t - 49. Let n(x) = -2*l(x) + 11*q(x). Let g be n(5). Determine h(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 86325100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13600509 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15)\/((1*(1 + -2))\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 873*m + 1773. Is p(9) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -17 + 33 + (0 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1600 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 438 = 445. Put 7, j, -17, 4 in decreasing order.\nAnswer: 7, 4, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b54 + -a73?\nAnswer: -1a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + -170 + (-2 - 6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.12.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*m + 27, 39*m = 40*m + 3*c - 3 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 836432 < 3345731\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4142, -8236, -12282, -16280, -20230?\n\"Answer: 24*x**2 - 4166*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 1826, 4092, 7254, 11306, 16242?\nAnswer: 22056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 - 806*n**2 + 255*n - 13017. What is o(161)?\nAnswer: 2117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -46.\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 1495099*n\/2 + 2242644.\nAnswer: (n + 3)*(n + 1495096)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 - -154. Solve j*m - 3 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 904 and 1821786?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8555341687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331 + 330.9761. Let w = s - -23.1239. What is w rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (255\/(-35) - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14779938?\nAnswer: 2, 3, 23, 107101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 20 + 46 + 24*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -31 + j + 13 + 0*j + 17. Let g(o) = -o**2 - 6*o. Let d be g(-6). Give p(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 + 2 + 3. Let r be w\/(-21) - 111\/(-21). Suppose -r*k = l - 109, -4 + 23 = k + 3*l. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3784 - -3785. What is the fifth smallest value in -0.026, w, -0.3, -4, -3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.78 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6550 - 22993\/4. Let g = -802 + h. Which is smaller: g or 104?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*w + 10 = 0, 2*r + w + 4*w - 37 = 0. What is the greatest common divisor of r and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38069*c**2 - 5*c - 2687?\nAnswer: 76138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*z**2 + 36*z**2 + 94*z**2 - z + 54*z**2.\nAnswer: 264*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 16\/144 + (-20)\/45. What is the third biggest value in -0.6, 3\/7, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -43. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 377*d - 372*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22468 + -22409. Put 138, u, -5 in descending order.\nAnswer: 138, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-36) + (-50)\/24 + 3. Which is the closest to s? (a) 0 (b) 1\/4 (c) -42 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 43*f**2 - 12*f - 7. Let n be u(-5). Suppose 2*s = -6*l + 10*l - n, -4*l + 1128 = 5*s. List the prime factors of l.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 919 - 647. Suppose -3*u = 4*l + 18 - 46, 8 = 2*u. Let g be 2\/v*l*-4. What is the closest to -2\/7 in g, 2\/41, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 greater than 64.8797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -70\/4430659 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-13)\/286 + (-10627)\/(-506) + -11.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6062*f - 18102*f + 6020*f + 6020*f + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 542139817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.1843*-20031\nAnswer: 43753.7133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 36. Calculate the remainder when 174\/(-180) + (-2)\/(-3) + 14364\/280 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105*p**3*s + 258*p**2*s wrt p.\nAnswer: -630*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*s - 14. Let v be (-2)\/(-3) - 520\/(-15)*s. Suppose 0 = 15*g - 20*g + v. What is the remainder when 97 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*d*f**3 + 72*d*f - 6*f**3 + 3*f**2 - 3*f + 9 wrt f?\nAnswer: -156*d*f - 36*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-8)*m\/(m**(-7\/2)*m)*m**(-2\/27)\/(m**(-5\/2)\/m) assuming m is positive.\nAnswer: m**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a)*(2138 - 2138 - 41*a)*(6 - 1 - 3).\nAnswer: 82*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1453315586 to the nearest integer?\nAnswer: 38122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 - -172.6. Let v = a + -19. Let c = 1.4 + v. What is the smallest value in c, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2*d - 7. Let x be j(-5). Let b(p) = 65 + 4*p + 0 + 3*p - x. Let o be b(15). Round o to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 68 - 214*w - 34 + 30*w**2 - 218*w + 427*w in the form c*w + p + r*w**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.941928302 - 55453.\nAnswer: -55452.058071698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/13 (b) -133 (c) 1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7962 + 3.75. What is j rounded to 3 dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/7 + 248*b\/7 + 2486\/7 = 0.\nAnswer: -113, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l + 56 = 42*l. Let r be ((-4)\/l + (-5682)\/42)\/(-1). Calculate the highest common factor of r and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 1222*p**2 + 469340*p - 57852200.\nAnswer: (p - 602)*(p - 310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 21*y**2 + 22*y - 25. What is the remainder when 2\/(-4)*-4 + 24 is divided by l(20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {n: 4, x: 3, h: 6}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66, -37, -8, 21, 50, 79?\n\"Answer: 29*v - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 + 147772?\nAnswer: 147710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2\/2 - 102*q - 1881\/2 = 0. Calculate q.\nAnswer: -57, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0563 - -504.0563. Let l = 294 - i. Let k = l + 200.1. Round k to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/6 and -1\/204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5\/13 (b) 2 (c) -0.05 (d) -3 (e) 2\/5 (f) 14 (g) 1.78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*h**3 - 2 + 0*h**2 + 0*h**2 - h + 4*h**3 + 43*h**3 to the form o*h**3 + d*h**2 + t + m*h and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9)*1548\/(-8). Suppose 5*s + 4*m - v = -26, 4*m = s - 11. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.52 (b) 0 (c) -1\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -551, -553, -555, -557?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 1771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2171, 8309, 17875, 30323, 45107, 61681, 79499, 98015?\nAnswer: 116683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/120 - 2*z**5\/15 + z**4\/2 + 7*z**3\/2 - 21*z**2. Let l be w(-9). Let o(p) = p**3 + 5*p**2 - 8*p - 8. What is o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56730.\nAnswer: 2, 3, 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/177?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002347733?\nAnswer: 3, 334115911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 12. Let z(k) = -k**2 - 6*k - 3. Let o be z(-2). Let c be h(o). Calculate the greatest common divisor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 - -496. Let w = 339.7 - p. Let t = w + 41.7. Round t to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 8)\/(-1) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 5*m**2 + 6*m + 2. Let t be k(3). Put 1, -2\/7, t, -2\/11 in ascending order.\nAnswer: -2\/7, -2\/11, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g + 0 - 5\/2*g**2 - 1\/6*g**3. Let u be y(-5). Solve u = -4*l - l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = -3*x, 0 = o + 3*x + 9 + 5. Let y = -13 - -38. Suppose 22*p = y*p. Sort 4, p, o in increasing order.\nAnswer: o, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**4 + z**2 + 0*z**3 + 0 + 1\/60*z**5 + 0*z. Let t(m) = -568 - 4*m**2 + 568. What is i(t(x))?\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5729347 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(4\/2) - -1. Suppose -66 + 76 = 5*t. Suppose 2*j = -5*c + 279, -t*c - q*c = -j + 107. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27506261\/17039190 - -2\/243417. Find the common denominator of r and -43\/67.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2. Let l(q) = -13*q - 11*q + 9*q. Give u(l(c)).\nAnswer: 450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -153057, -305745, -458433, -611121, -763809?\n\"Answer: -152688*x - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 124. Suppose 3*d + 5 = j. Suppose -3*g = -62 - d. Calculate the highest common divisor of 81 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 1\/20*c**5 + 0 - 5\/2*c**2 + 5\/6*c**3 - 1\/2*c**4 + 30*c. Suppose 4*v + 4*j - 40 = 0, -2*j = 4*v - 1 - 29. Give u(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -55. Calculate the remainder when m is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 1716 = 27*p - 32*p. Let m be 6\/2 - (5 + -8). What is the highest common factor of p and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -11. What is the remainder when y is divided by (1*-1)\/(7\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11 = 32. Let r be (-28)\/6*6\/h + 44. What is the highest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let m(d) = -3901*d**2 - 12488. What is y(m(b))?\nAnswer: 7802*b**2 + 24976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 20 = 3*d - 93, 4*n + 121 = 3*d. Suppose 5*w + 15 = w + 5*s, 3*s = 4*w + 17. Let f = d + w. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813622710?\nAnswer: 2, 5, 37, 4901683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 20 - 0, 3*q = -3*o + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**3 + 1105*a**2 + 18765*a + 46215 = 0.\nAnswer: -13, -3, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61\/40 + -3\/2. Is 1 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:04 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6790577mm to micrometers.\nAnswer: 679.0577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 5*z + 1. Let u be l(4). Let a be 36\/24*u\/3. Factor 1 - 1\/2*j**3 + 2*j**2 - a*j.\nAnswer: -(j - 2)*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 20 + 11*y + 3*y - 5*y. Calculate the remainder when a(-9) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10255216.5 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 585 (c) 1 (d) -4\/61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 9*a + 3202 = 3164, -3 = -q - 4*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/7 + 6*v\/7 = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1643623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqssqqsqq. Give prob of sequence sqqq.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24890 is divided by 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 292, 296, 302?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15596 - 11572 - 3*s**2 + 19690.\nAnswer: -3*s**2 - 7478","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Let t be ((0\/5)\/7)\/(-1*3). What is the second derivative of 0*o**5 - 6*o + t*o**k + 2*o**5 + o**5 wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25285.\nAnswer: 5, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - t = 31*i - 8, -2*i = -2*t + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**5\/60 - 11*a**4\/24 - a**2\/2 + 8. Let v(z) be the second derivative of j(z). Find the second derivative of v(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:10 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*a - 13*a**3 - 4 - 72*a + 5 as r + h*a + i*a**2 + m*a**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 2 (b) 2\/3 (c) -3\/2 (d) -22\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 13*y**2 - 9*y - 71. Calculate c(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5355\/1738 - -364\/869. Factor -1\/6*j**2 - v*j + 11\/3.\nAnswer: -(j - 1)*(j + 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 4907481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/75)\/(6\/10). Let t = 0.01 - -1.99. Which is the closest to 1? (a) r (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31987*m**2 + 32011*m**2 - 10 + 10.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*j = -42*j - 42*j - 27849500. Round j to the nearest 10000.\nAnswer: 3980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/175 - (-24)\/14. Sort -5, 5, -4, m in decreasing order.\nAnswer: 5, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -533*y**4\/4 - y**2 + 65*y + 1156. Find the second derivative of m(c) wrt c.\nAnswer: -3198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**7\/105 + 113*c**6\/24 - c**4\/12 + 116*c**3 - 2631*c**2. What is the second derivative of m(q) wrt q?\nAnswer: -24*q**2 + 3390*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**7\/140 + i**6\/36 - i**3\/2 + 5*i. Let h(z) be the second derivative of o(z). Find the third derivative of h(v) wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5838 and 519802.\nAnswer: 1517302038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2589 + 0.2589. Let a be (0\/(-2))\/(0 + 1). What is the nearest to g in 1\/3, 6\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10490 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -194*3\/285 + (-341)\/(-155)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 16*i**2 + 29*i + 11. Let r be o(-14). Let x(c) = c**2 - 1 + c**3 + 1. Let p(m) = m**3 + 4*m**2 - 1. Determine r*x(b) + p(b).\nAnswer: -2*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 55. Let b be (6\/c)\/(14\/7 + -4). What is the nearest to -1 in 3\/4, 6\/7, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59587.17 + -60046. Let t = s - -463. Let u = t + -3.9. Round u to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 328 + 1185*d**2 - 1183*d**2 + 3*d**3 - 2*d**3 + 0*d**3 as s*d**3 + j + l*d + k*d**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -543 + 544. Let c(j) = -j + 39. Let t(s) = s - 2. Let f(g) = y*c(g) - 5*t(g). Differentiate f(o) with respect to o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -298 (b) -2\/9 (c) -22 (d) 0.046 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from jzkzq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z - 2. Let r be (-2 - (-3 + (-18)\/3)) + 4. Suppose 4*w + 7*q = 10*q + r, -3*q + 7 = 5*w. Suppose -f - 17 = -3*m, 0 = f + w*f - 5*m + 31. Give s(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/7*-1)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**3 + 12*l**2 + 15*l + 23. Let o be r(-8). Suppose 8*n - o = 22825. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v - 132 + v**2 + 132 - 23*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*z**2 + 11*z**2 - 9*z**2)*(0*z + 1 - 6*z + 4*z).\nAnswer: 36*z**3 - 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 125448.\nAnswer: 250896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 2)*(-2 + 2 - 2) - 1 + 4 - 1 + 237 - 109 + 163)*(3*w - 3*w + w)*(11 - 8 - 8).\nAnswer: -1455*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/((-95)\/(-20)) + (-134)\/(-16). What is the closest to 0.1 in -2\/7, 2, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24765352 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 180? (a) -1\/4 (b) 1\/3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*(-4700)\/188.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 26640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*g + 71*g. Let c(r) = -r + 2. What is c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(2*1)\/2. Let o = -174 - -192. Suppose y + o = -5*a, 4*y + 3*a + v = -0. Solve 3*z + y*w + 5 = -0*z, 0 = 4*w - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*h + 2065, -16*h - 1653 = -4*j - 19*h. What is the remainder when j is divided by (22\/(-55))\/((-2)\/130)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 12*y + 28. Let s be m(-9). What is the third derivative of 1 + 16*k**4 + 11*k**4 + s - 21*k**2 wrt k?\nAnswer: 648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 9832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -2044?\nAnswer: -408.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-36))\/(-7)*(-56)\/7.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - y = -3*y, 2*g - y = -96 + 100 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 15. Let q be g(0). Let a be ((-1)\/q)\/((-3)\/(-39)). Let r = a + -158\/165. Is 1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 151896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40396169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/8)\/(1\/(-2)). Let p(v) = -11*v + 50. What is the units digit of p(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o + 244 + 350 = -98*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 + 720. Let v = c - 427. What is v rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 77*f**2 + 3*f + 27. Let q be u(0). Solve q*y - 130 = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7080 (base 10) to base 13.\nAnswer: -32b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 16, p: 4}. Give prob of picking 2 p.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48891 is divided by 91.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065 + 12*z - 1106 + 3192 - 1096.\nAnswer: 12*z - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344102042.\nAnswer: 2, 59, 2916119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 1323?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 5*n**3\/3 - 25*n**2\/2 + 30*n - 57. Factor s(y).\nAnswer: 5*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 454*a**6\/3 - 109*a**2\/2 + 3*a - 1316. Find the second derivative of y(w) wrt w.\nAnswer: 18160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315.9 - 364. Let p = s - -6.1. Let a = p - -41.9958. Round a to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10087290.3 to the nearest one thousand.\nAnswer: -10087000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138*(-2)\/(-14))\/(5019\/(-11711))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l**2 - 13*l + 46303. Is n(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/12 + o. Suppose -1 - 5 = -3*i. Let d(x) = -4*x**2 + 0*x**2 + 2*x**i. Calculate d(a(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1338 - 174. What is the smallest common multiple of 6 and q?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768\/(-18)*(-3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + 2*sqrt(72).\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -853*m**6\/15 - 983*m**4\/12 + m**3\/6 - m + 111. Find the third derivative of y(t) wrt t.\nAnswer: -40944*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83591 divided by 18?\nAnswer: -83591\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47\/1 - 9\/(-9 + 12). Let r(g) = -14*g**2 - 22*g - 22. Let q(x) be the first derivative of -2*x**3\/3 - 3*x**2\/2 - 3*x + 1. Give i*q(h) - 6*r(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 - 2*x**2 - 2*x - 1. Let q be n(-1). Let d be (q\/6)\/((-1)\/(-12)). Find the first derivative of 1 + 3*a**3 + a**d - 3*a**3 wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000032229 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 9. What is the common denominator of (-4)\/g*-6*212\/(-32) and 2\/4 - (1 + -3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:16 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*y + 17 = -0*r, -3*r - 6 = 2*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 1)*(11*z + 7 - 7) + 3*z - 4*z + 3*z in the form k + o*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28086 and 12989.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*l. Suppose l = -i - 0. Let m(j) be the third derivative of -j**6\/60 - j**5\/60 + j**4\/12 + j**3\/6 - 2*j**2. Calculate m(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a79a6 (base 14) to base 16\nAnswer: 62f1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8240518 to the power of 1\/2, to the nearest integer?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83576921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0107 - 14.58312\nAnswer: -14.59382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 + 121?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*r - 42 + 33, -4*w + 0 - 3 = -6*r + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247882 is divided by 1630.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -0.027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18*11\/(66\/92). Suppose 20*b - 16*b - s = 0. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*w + u, 4*u = -2*w + 7*u - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 31416\/31 and 1014 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200752 is divided by 697?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 162145823 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-10) + (-18)\/(-45). What is the remainder when 19 is divided by (h + 0)\/((-3)\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 2*z. Let u = 777 + -5382\/7. Let r = 8 - u. Is z at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 384.892226.\nAnswer: -385.292226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 9*t**2 - t - 36. Give u(5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {j: 5, m: 12, b: 1}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j + 18 = -46*j. Suppose -d + j*a + 41 = 0, -121 = -2*d + 4*a - 49. Calculate the remainder when d is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 2.92?\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flc when three letters picked without replacement from {l: 2, w: 3, x: 3, c: 3, q: 1, f: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -298567.\nAnswer: -2\/298567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose 5*u = k*g - 33, -5*u - 26 = 4*g - 0. Does 17 divide 5*4\/u*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 0 + 0*p - 1\/2*p**4 + 0*p**3.\nAnswer: -p**2*(p - 2)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-20) + (-15)\/25. Let x = -472\/717 - 2\/239. Which is greater: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 13*h - 1. Let a(j) be the first derivative of -j**3\/3 - 5*j**2 - 13*j - 12. Let x be a(-7). Is z(x) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 528\/18 + 3 + 1. Which is greater: p or 32?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 43, 2 in decreasing order.\nAnswer: 43, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 2630*p**2 + 270763*p\/2 - 138012.\nAnswer: (p - 1)*(p + 53)*(p + 5208)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -424862 divided by -2\nAnswer: 212431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1.67, 0.12, 4\/7, 1?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(4\/3)*a*a**16*(a**4)**33 assuming a is positive.\nAnswer: a**(454\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 27 = 2*r. Let b(g) = -g**3 - 9*g**2. Let z be b(r). Is z < -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2604708 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crs when three letters picked without replacement from {a: 2, q: 4, r: 4, c: 3, s: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -n + 5*q, 902*n - 92*q + 1922 = 900*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 16. Let w be 2\/5 + (0 - 87\/5). Let b(m) = -m**2 - 18*m - 12. Let u be b(w). Put -17, j, u in descending order.\nAnswer: u, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 3*u - 3 + 2.\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1127 - 1122. Sort 2, -9, -2, l, 34 in decreasing order.\nAnswer: 34, l, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 + 27*j**2 - 11*j**2 + 5*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 3*m - 1. What is k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:48 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 42998?\nAnswer: 5\/42998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:37 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -279, -1954, -3629, -5304, -6979, -8654?\n\"Answer: -1675*b + 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**8\/70 + v**5\/40 + 2*v**3\/3 + 22*v**2. Let q(j) be the first derivative of k(j). Find the second derivative of q(n) wrt n.\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 2*u**2 - u**2 - 14*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 372*o. Let q(a) = -4*a. What is w(q(p))?\nAnswer: -1488*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*w + 26 - 20, -5*w = 3*m + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r - 4*n = 126*r - 4, -3*r + 2*n = -12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n - 627*n**2 + 6208 - 7*n - 14*n - 110*n**4 + 627*n**2 with respect to n.\nAnswer: -440*n**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 0*h - 11 - 5\/2*h**2. Give t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-8))\/(-5) + 56166\/7659\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21410342 + -1?\nAnswer: 21410341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -13 - ((-43 - -47) + (-9 - 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 11 + g - 3*g. Let w(y) = 48 - 52 + 0*y + y. Calculate 4*q(k) - 11*w(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 927*p + 44. Let l(k) = -464*k - 18. Determine 5*l(g) + 2*w(g).\nAnswer: -466*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 1288.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-415)\/(-8) + (-6)\/(-48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.398 rounded to 2 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/880 (c) 31.8 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24133 (base 8) in base 5?\nAnswer: 312311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*p + 4 = -2, 9 = 3*p. Suppose -3*q**l + 4*q**4 - q**2 - 2*q**5 - 7*q**4 + q**5 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 2*b - 4. Let r be n(4). Suppose -2*v - 5*q = v - 56, r*q = -5*v + 102. Is ((-1)\/1)\/((-1)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375605 - ((-36)\/(1 + -7) + 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10454015?\nAnswer: 5, 11, 13, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 83. Let u be 25\/9 - b - (-232200002)\/9. Round u to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19165264.\nAnswer: 2, 1197829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51570 = q - 11037. Suppose 2*u = q - 382607. What is u rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 12.1. Let q = -83.82 - -86.82. What is the nearest to 0.3 in r, q, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*c**2*u + 85229*c**2 + 1999*r*u - r wrt u.\nAnswer: -97*c**2 + 1999*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*m, 5*p = -3*m - 2*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 93. Suppose -2*l + 12 = -0. Let u be 4\/z*l\/(-4). Do u and -1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 959 and 28.\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9948 and 232?\nAnswer: 576984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 172862497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 8151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1687 - 1689 - 14*w**2 - 1823 + 5185.\nAnswer: -14*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 104471, 208928, 313385, 417842?\n\"Answer: 104457*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {r: 2, i: 1, w: 2, l: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 31*d = 2*x + 35*d, 20 = 160*x - 156*x - 2*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f - 12. What are the prime factors of g(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from bxbixwx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 3*l - 5*l)*(0 + 0 + 5).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28361835596 + -0.01623.\nAnswer: -28361835596.01623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 828 + -825. Solve p*f = -21 + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*d - 12*d - 14. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 48 - 2 = 0. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*h*q**5 - 2*h*q**2 - 2*h - 7*q**3 + 79*q**2 wrt q?\nAnswer: -1080*h*q**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1819, 2046, 2309, 2608, 2943, 3314?\nAnswer: 3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*j = -b - 41508, 0 = 4*b + j - 41483. List the prime factors of b.\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036344177 rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 1939 + a + 1939 in the form f + y*a**2 + r*a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = -69 - 414 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 12*i - 23. Let y be w(-5). Suppose -2*k - 2 = 4, 4*q - y = 4*k. What is the remainder when 149 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*c + 4*k, -5*c = k - 0*k - 116. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.4 and -499.908?\nAnswer: 543.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -25 - (-9 + 16)) + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*q - 398*q - 453*q.\nAnswer: -1143*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. Let h(s) = -2*s - 20. Let u(i) = -h(i) - 3*p(i). Let c(f) be the second derivative of -f**3\/6 + 130506*f. Determine c(u(n)).\nAnswer: -5*n - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 76\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1426 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055540 to the power of 1\/2, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 47*r**2 + 1194*r - 7822. Let d(z) = -9*z**2 - 238*z + 1564. Let w(j) = -11*d(j) - 2*g(j). Determine u, given that w(u) = 0.\nAnswer: -52, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*v + 56 = -87*v. Let l = 3 + -8. Let k(i) = -2*i**3 - 5*i**2 + 5. Let a(u) = 6*u**3 + 14*u**2 - 14. What is l*a(x) + v*k(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 + d**2 + 49 - 102 + d**3 + 18*d**4 + 8*d**4 - d to the form k*d**2 + p*d**3 + r*d + h*d**4 + y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -639*w + 1273. Calculate p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21200 + -2002120111?\nAnswer: -2002212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(69 - 118*i**2 + 117*i**2 - 46) to n*i**2 + s*i + d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 149*d + 308. Calculate the remainder when 469 is divided by z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - f - 28 = 0. Let r = f - -23. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2275240165 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 5\/4, -2\/7, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -25. Find the third derivative of -35*w**5 + 37*w**5 + 11*w**2 + 4*w**o wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 219*w**2. Let m(c) = -2*c**2 + 3041*c - 2. What is m(h(r))?\nAnswer: -95922*r**4 + 665979*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 10 = -4*x, 0 = 2*x - 0*i - 5*i + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 - 2 = 0. Let m be (4 - (-1)\/z)*18. Suppose 5*x + 57 = 3*v, -10 - m = -4*v - 3*x. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -105. List the prime factors of (-240)\/z - 6 - 184\/(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1465083, 1465090, 1465097, 1465104, 1465111?\n\"Answer: 7*o + 1465076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1503*k**4 + 95172?\nAnswer: 6012*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -992.6 - -894. Let n = i - -111. Let g = 4.9 - n. Round g to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/55 + -674\/385. Find the common denominator of c and 0 + 0 + 53\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2001 + -3124401?\nAnswer: -3122400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2807 divided by -14?\nAnswer: 401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4432 divided by 21\nAnswer: 4432\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*7*286\/(-182)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/6*15\/(-10). Let q = v + 10. Suppose 6*f - 3*r = q*f - 3, 0 = 2*f - 4*r + 10. Calculate the remainder when 4 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425 and 1785.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkksbkksbkskssss. Give prob of picking 1 s and 2 k.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 8*d + 10. Let r(u) = -u**3 + 7*u - 11. Let w(s) = 2*c(s) + 3*r(s). List the prime factors of w(5).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/8 - (6 + (-75)\/12). Let a be ((-8)\/y)\/(3\/(-18)). Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1375*k - 30. Let v(i) = 3*i - 3. What is -f(s) + 10*v(s)?\nAnswer: -1345*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0 + -2)*-15. Suppose -3*u = 2*u - f. Suppose 0*b = -5*b. Solve -3*a + 2*a + u*l + 8 = b, 16 = 3*a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5)**(-19\/5))**(-49) assuming x is positive.\nAnswer: x**931","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31170265 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 17*c + 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 7 - 1. Let a be (-15)\/(-4) + (-1)\/(-4). Solve 0 = 4*y + y - c*u - 1, 2*y - a*u = -6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/(((-63)\/(-28))\/(-9)). Let j(d) = -5*d**a - 2*d - 4*d + 2 + 4*d. Determine j(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + v + 0)*(-v**2 + v**2 - v**3) + 20607*v + 2*v**4 + 56*v**2 - 41220*v + 20605*v - 2 to the form y*v + j + w*v**2 + m*v**3 + k*v**4 and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 775456744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -39. Is (47356\/(-12) + t)*(2 - 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/((-15)\/4 + 3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 9*q + 1. Let v be w(-9). Let i be ((-2)\/(-3))\/((-2)\/6). Which is the nearest to v? (a) i (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1573 and 3952?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Suppose 1 = -s*i - 3. Is (-182)\/(-8) + i\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 773, 761, 741, 713, 677, 633?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-964)\/36 + (-4)\/18. Let g be (-32)\/(-18) + (-6)\/d. Calculate the common denominator of 53\/9 and g*-1*4\/44.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 26*m**3 + 103*m + 2. Let o(x) = -15*x**3 - 52*x - 1. Calculate -6*k(d) - 11*o(d).\nAnswer: 9*d**3 - 46*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 - -239.7. Let z = l - 24.6. Which is the nearest to 2? (a) 0 (b) 8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 1 (c) 0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4795, 4278, 3495, 2314, 603, -1770, -4937?\nAnswer: -9030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 24. Let m = d + -44. Suppose -4*o = -g - 13, 0 = 3*o + 2*g + g + m. Calculate the remainder when 8 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 4*n - 5. Let h(r) = -r**3 + 9*r**2 - 14*r - 11. Let y be h(7). Let z(o) = -6*o**2 + 12*o - 15. Let w(l) = y*d(l) + 4*z(l). Calculate w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 19 = -4*z, -2655*d + 4*z - 16 = -2659*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.6 + 60. What is k rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1431073, -2862145, -4293219, -5724295?\nAnswer: -7155373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63960 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1. Let h(f) be the first derivative of -f**2\/2 + 4*f + 2. Let r be 2\/(-7) + 10\/(-14). Let x = 15 + -13. Determine r*h(y) + x*w(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/45)\/(62\/279). Let q(f) be the second derivative of f**3\/3 + f. Give q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30248996.\nAnswer: 2, 1699, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:52 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000042102 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8\/3)*g)\/((g\/g**14*g)\/g))**25 assuming g is positive.\nAnswer: g**(925\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2050 by -5.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/3577 and 89\/15497097.\nAnswer: 108479679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 - 10*s + 12. Let b be z(-6). Which is smaller: -1\/932 or b?\nAnswer: -1\/932","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 + 5 - 11*z**3 - 11*z**3 + 4*z + 18*z**3 - 6*z**3 - 46*z**2 to j*z**2 + n*z**3 + d + i*z and give j.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + 5. Let p = 30376 + -30371. Let q = 0.7 - 0.3. Sort 0.23, p, b, q in decreasing order.\nAnswer: p, q, b, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 56, 100, 162, 248, 364?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l**2 - 5*l + 6. Suppose -12 = -4*n + 4. Let b be u(n). Solve -y = 4*z + 17, 0*z + 5 = 5*y + b*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 0, -26, -72, -144, -248, -390, -576?\n\"Answer: -a**3 - a**2 - 2*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**2 - 59*p**2 + 32*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26885? (a) 0 (b) -7.6 (c) -4\/7 (d) 5 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1445*u**4 + 2189260*u**3 - 819369380*u**2 - 7457907360*u - 16768998720.\nAnswer: -5*(u - 762)**2*(17*u + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/12*(-44)\/77?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.7 + 15.9. Which is the smallest value? (a) -5 (b) v (c) -0.3 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 21. Let f = -11 + y. What is the nearest to f in 0.1, 1\/4, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4. Suppose -b + 4 = 3. Suppose -9*u = 2*v - 5*u + 12, -3*u = -5*v + 22. Sort r, v, b in decreasing order.\nAnswer: v, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*v = -v + 4, f - 4*v = -11. Let o(r) = -r + 7. Let z be o(f). Suppose -5*i - 3 = z. Let x(p) = 8*p**2. Determine x(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 - 5*t + 10*t - 9*t**4 - 5*t wrt t?\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c*c*c\/(c**(-4\/7)*c))**(31\/4) assuming c is positive.\nAnswer: c**(775\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7929, 7930, 7941, 7968, 8017, 8094, 8205, 8356?\nAnswer: 8553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1897 and 7?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/48 - (-1 + 0 + 2) and 19\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g**2 + 434 + 8*g**2 + 2*g**4 - 21*g**3 - 432 + 19*g**3 to x*g**4 + c + p*g**3 + t*g**2 + n*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-21))\/((4\/(-6))\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35\/(-40))\/(2\/4). Let a = c + 39\/20. What is the third biggest value in -1\/2, a, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.417 times -543.7\nAnswer: 1314.1229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, t: 2, e: 6, l: 3}. What is prob of sequence ecll?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(2 + 20\/(-15)). Suppose -5*z - 180 = 5*g, i*g - 139 = 6*g + 3*z. Which is greater: g or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0372 and 15874188?\nAnswer: 15874187.9628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19f + -2?\nAnswer: 19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/21 and 107\/1386?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Is 13\/4 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:20 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.02. Which is the third biggest value? (a) 5 (b) -3\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42900)\/11440)\/(-2*(-189)\/(-24))?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**6\/120 + 13*f**5\/60 - 13*f**4\/24 + 5*f**3\/6 + 2*f**2 + 5*f. What is l(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + c = -3*c + 5, 3*d + 3 = -12*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -17 - (-58 - 8)) + -10?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 0, 4 in descending order.\nAnswer: 4, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 61*j**2 + 780*j + 453. Give x(-4).\nAnswer: -1691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2943615 = 25*b - 196115. Round b to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**2 + 237*w - 11. Let p be t(28). Solve 0 = 355*d - p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105754693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/40 - f**5\/20 - f**4\/8 + f**3\/2 - 7*f**2. Factor z(n).\nAnswer: 3*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*j*s**2*t**3*w**3 - 2*j*s**2*t**2 - 2*j*s**2*t*w**2 + 2*j*s**2*w**3 + 4*j*s**2*w**2 + 3*j*t**3*w + s*t**2 wrt w.\nAnswer: -618*j*s**2*t**3 + 12*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 10) in base 8?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8628 and 112943396.\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/(18\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 - (29 - 16) - (-16)\/20*-2. Sort w, 0, -4, 12\/11 in descending order.\nAnswer: 12\/11, w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = -9. Let y be (h + 1)*(-3 - -4). Suppose -2*v + y*v - 5*g + 144 = 0, -5*v - 3*g + 379 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -32, -80, -148, -242, -368, -532?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 229 = -25*h + 342 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.57 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let a(q) be the second derivative of 0 + 0*q**2 + 251\/3*q**3 + 110*q. Give a(l(x)).\nAnswer: 1004*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1218000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -28, 4, 0.8, 4\/3, 0.1 in increasing order.\nAnswer: -28, 0.1, 0.4, 0.8, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 6*x**2 + 2*x - 4*x - 3*x.\nAnswer: -6*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (16 - 4)) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.2 (b) 3 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, c: 2, o: 8, p: 2}. What is prob of sequence cc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124571 (base 8) to base 15.\nAnswer: ccc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -519, -523, -527?\n\"Answer: -4*x - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*i - 8*i + 49 = 0, -x = -4*i - 13. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/5 in -0.17, 1, 3, 4, 42.36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9\/7)\/i**(-6) assuming i is positive.\nAnswer: i**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*q - 233*q + 112*q = 828. Solve -q + 142 = -16*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 591709487 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1485 and -47\/1485.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686 and 3437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*4)\/sqrt(6).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1052137\/144 - 7307. Calculate the common denominator of d and 93\/8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o - 2*o - o)*(-24907 + 24907 - 233*o) - 3*o**2 - 3*o**2 + 5*o**2 - o**2 + 0*o**2 + 2*o**2 + (4 - 4 + 2*o**2)*(3 - 1 - 1) + 2*o**2 + 1 - 1.\nAnswer: -1394*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**4\/4 + 8*g**3\/3 - 5*g**2\/2 - 7*g + 4. Let p be i(7). Suppose 2*o = 2*q - q + p, -q - 2*o + 13 = 0. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(187)*-1*-1 - 4*sqrt(187)*-1))\/(((sqrt(99)*-1 + sqrt(99) + sqrt(99))*5)\/(sqrt(324) + sqrt(324)*1 - sqrt(324))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/168 + 221*g**6\/120 - g**4\/24 + 13*g**3\/3 + 76*g**2. What is the second derivative of n(c) wrt c?\nAnswer: 40*c**3 + 1326*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 727 - 343 = 5*k, c - 4*k = 303. What is the least common multiple of 678 and c?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 7*z**2 + 5*z - 194. Let s be m(12). Which is smaller: 2349\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -787, -1194, -1601, -2002, -2391, -2762?\nAnswer: -3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m + 9 = 0. Suppose m*k + 246 = -3*o, -5*o - 414 = -0*o + 3*k. Let j be 12600024\/o + (-2)\/(-7). Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1977 - 2846 - 6150)*(-4*b + b + 2*b) as r + q*b and give q.\nAnswer: 7019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 99*p**2. Let y(x) be the third derivative of -x**4\/12 + 9*x**2 - 5. What is y(n(g))?\nAnswer: -198*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -290 (b) 2\/6157 (c) 0.01 (d) -0.4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 times -0.9809?\nAnswer: -4.70832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 23870\/377, 0.5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + 1)**2 + 2*sqrt(9)\/sqrt(3) - -6*(-2 + sqrt(243))*-2.\nAnswer: -104*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**3 - o - 1. Let q be n(-1). Suppose -3*b + q*k = -6, 0 = k + k. Let j = 16 - b. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n - 3. Let b(s) = -8*s + 4. Let v = 5 + 1. Let h(t) = t**3 - 3*t**2 + 2*t - 1. Let d be h(3). Calculate d*b(j) + v*r(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210120 - 132003331?\nAnswer: -132220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.106 + 0.506. Let i = -24 + 20. Sort 5, i, 0.2, p in descending order.\nAnswer: 5, p, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 - 3 - 1 + 27*p - 22*p - 2*p**2. What is the remainder when 374 is divided by j(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75654 - 2816*a + 75654)*(-4*a**2 - 2*a**2 + 7*a**2) to h + y*a**3 + l*a**2 + n*a and give y.\nAnswer: -2816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -203541215 divided by -40708243\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (8 + 10 - 8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**4 - 2*c**4 - 3*c**4 + (3*c - 5*c + 10*c)*(56*c**3 + 1877*c**2 - 1877*c**2) in the form w*c**3 + s*c**2 + b + o*c + n*c**4 and give n.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170881.\nAnswer: 83, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -24*s + 61*s. Sort s, 293, 4.\nAnswer: s, 4, 293","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*-2 + (sqrt(176)*2)\/sqrt(4))\/((sqrt(220)\/sqrt(99))\/(sqrt(45)*4)))**2.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 861, 2882, 6813, 13290, 22949, 36426, 54357?\nAnswer: 77378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 = 67 + 1. Let l(q) = q**3 + 34*q**2 + q + 28. Determine l(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -725 + 738. Let l = -18 + 7. Let p = l + f. Which is the third smallest value? (a) 1 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -475*j**3 + j + 9*j**2 + 7*j**2 - 3 - 7*j**2 - 4*j**2 - 3*j**2 as q + f*j + c*j**2 + l*j**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -38*x + 89. Let g be t(-9). Let o = g - 152. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 2*s**3 - 2*s**3 + (-2*s - 2*s**3 + 2*s)*(s - s**2 - s) + 36*s - 36*s + 30*s**5.\nAnswer: 31*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 2 + 4 = 0. Let h be (-4 - (-2 + 1))*c. Let o be h\/(-5) - (-24)\/15. What is the greatest common factor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106578 divided by 22?\nAnswer: -53289\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/40 and -49\/1420?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50 + 0 + -3 + 2. Is k less than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 29*n**2 - 73*n. Let j(x) = x**2. Give v(j(b)).\nAnswer: 29*b**4 - 73*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 6*s**2 + 4*s + 9. Let p(c) = -5*c**3 + 17*c**2 - 12*c - 26. Let l(r) = -8*f(r) - 3*p(r). List the prime factors of l(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -88. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4922\/3 - 1640. Factor 0*g**2 + 2\/3*g**3 - y*g + 1\/3 - 1\/3*g**4.\nAnswer: -(g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 127, 119, 111, 103, 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873263 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 121941*q**2\/4 + 929365710*q + 929335225.\nAnswer: (q + 1)*(q + 60970)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k)**(9\/7)*k**(-1\/8)\/(k*k*k**(1\/12)) assuming k is positive.\nAnswer: k**(-209\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700426779 to the power of 1\/2, to the nearest integer?\nAnswer: 26466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.23 (b) 0.1 (c) 1 (d) -0.0257 (e) 0.2 (f) -450\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6416 and 159772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3742*r + 2496*r - 1264*r + 2165*r - 910*r.\nAnswer: 6229*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -488 - 1?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374*(-57)\/6270*(-1)\/1.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, v: 4}. What is prob of sequence zv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1467*a - 4351. Calculate the smallest common multiple of 490 and v(3).\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 66. Calculate the common denominator of -55\/12 and (-12)\/s - 265\/75.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11202 (base 6) to base 7\nAnswer: -4424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Let h be v\/(-2) - (-15)\/10. Let u be 2*(-2 + 3) - 7. Sort h, -2, u in ascending order.\nAnswer: u, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + 3 + 1 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.103914ng in tonnes?\nAnswer: 0.000000000000004103914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 6. Let j = u - 1. Let v = j - -13.0000025. Round v to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/5 - 27\/20. Let r(p) = -10 + 30*p + 1 - 31*p. Let y be r(-7). Which is the closest to 3\/4? (a) 4 (b) y (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 2\/31 (c) 1144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291 - 159. Suppose -i = 5*g - k, 0 = g - i + 3*i - 30. Let u = g + 11. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -164507, -328361, -492215, -656069, -819923?\n\"Answer: -163854*q - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:17 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:52 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123989 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2103 + -23?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/469 less than or equal to 486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h - 9 - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7*1\/(-2)*2\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) -2339 (c) 2 (d) -10 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**3*k**4)\/(k*k**(-1\/3))**(2\/93) assuming k is positive.\nAnswer: k**(554\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*b**3 + 117*b**3 + 116*b**3 + 127*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from {d: 8, h: 3, j: 6}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/210 and 23\/252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 + 3570*n**3 - 1872732*n**2 + 237971200*n - 468480000 = 0. Calculate n.\nAnswer: 2, 183, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 7*p + 3. Let c be (-5868)\/(-33) + (-2)\/(-11). Suppose w + 4*v - 8*v - 18 = 0, 0 = 5*w + 2*v - c. Let s = -28 + w. Determine u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/2 + 46*g**4 - 145*g**3 - 236*g**2 + 289*g\/2 + 190 = 0?\nAnswer: -95, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 28152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1507227, 3014642, 4522057, 6029472?\nAnswer: 7536887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -399. Let w = -312 - y. What is the second smallest value in 6, w, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212333212 (base 4) to base 11.\nAnswer: 4279a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Suppose -5*x = -t*j - 4, -6*j + x = -j + 14. Does 2 divide (5 - 0)\/((-3)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46\/5 of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 8*t**5\/11 + 270*t**4\/11 - 278*t**3 - 83058*t**2\/11 - 206686*t\/11 - 109668\/11 = 0?\nAnswer: -37, -13, -2, -3\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 2, r: 1, y: 1, z: 2, a: 1}. Give prob of sequence zjyc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + u**2 - 3*u + 2. Let m be j(3). Let d = m - -39. Let q = d - -9. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/50, -21, -4, 5, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77484673944 - 0.258?\nAnswer: -77484673944.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67329\/622 + 5\/1244. Let p = v + -108. Put 0.22, 5\/6, 2\/3, p in ascending order.\nAnswer: 0.22, p, 2\/3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s**3 - 15*s - 12. Let g(h) = -62*h**3 + 2*h + 31*h**3 + 3 + 34*h**3 + 0*h + 2*h. Give 15*g(a) + 4*z(a).\nAnswer: -3*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30\/(-18) + (732216\/18 - -16)?\nAnswer: 40693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 5*p**2 - 2*p + 2. Let d be 6 + (1 - (4 + -2)). Suppose -d*h + 6 = -3*h. Is f(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - 2. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c*c*c**(4\/19)\/c*c)**(-40)*((c*(c\/(c\/(c\/((c\/((c\/(c**(-9\/7)\/c))\/c)*c)\/c))))\/c)\/c)\/(c*c\/c**(-33)*c) assuming c is positive.\nAnswer: c**(-32337\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -18*2\/(8\/22 + 0). Let n = 103 + i. Put 6, -3, n in decreasing order.\nAnswer: 6, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -276*1\/(-5) - (-20)\/25 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 3. Let t be s(-2). Let f = -5 - t. Let r(y) = 67 - 65 + 0*y + 4*y. What is r(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/18 of a day in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3511481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -3 - -5) + (-18 - (12 + -14)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 8*v + 12. Let z = 15 - 15. Let q = -184 + 551\/3. Which is the nearest to z? (a) v (b) q (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 1 (c) 0.4 (d) -16 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142255 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 4*b**3 + 2*b**3 + 0*b**3 - 2*b**3 + 0*b**3 + (-2*b + 2*b - b)*(-5*b**2 + 4*b**2 + 3*b**2) - 4*b**3 + 4*b**3 + b**3 + 7 + 18*b**3 - 7.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvvh when four letters picked without replacement from rvrrvevvevhprhepe.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 46. Let y be (-66)\/(-8) - (-2)\/(-8). Let z = y - h. What is the least common multiple of z and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 2) + 5\/(-1). Solve -3*f + 3*r = 6, -n*f + 2 = -f - 5*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/57, 5.62, -21, -1, 0.3, -2\/9.\nAnswer: -21, -1, -2\/9, 4\/57, 0.3, 5.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**5\/60 + w**4\/24 + 2*w**3\/3 + 2*w**2 + 5. Let y(d) be the second derivative of o(d). What is y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2557*u**5 - 3129*u**3 + 735*u**2 - 3441*u - 1 wrt u?\nAnswer: 153420*u**2 - 18774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 2*k - 2. Let d = 2 + 0. Let j(w) = w**2 + 3*w + 0*w**d + 2 - 3 - 2. Give 4*j(v) - 5*m(v).\nAnswer: -v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3093 + 852 = 5*o. Suppose -5*z = 194 - o. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 62557078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/4)\/(-248))\/(2247\/5992)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 + 2. Let b be (5 - 780\/165) + 542\/(-11). Put 1\/2, n, b in descending order.\nAnswer: 1\/2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1120 (base 5) in base 12?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212.1 - -211.9. Sort d, -0.015, 3\/7, 1 in decreasing order.\nAnswer: 1, 3\/7, -0.015, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 4167*j**2 - 8*j**3 + 4167*j**2 + 2*j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a56aa4a (base 11) in base 5?\nAnswer: 14231421120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -323 + 320.97. Let q = -2 - g. Let d = -0.17 - q. What is the smallest value in d, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 550421 or 6054646\/11?\nAnswer: 550421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 21.9. Let t = -18 - i. Let q = t - 8. Which is the third smallest value? (a) 2\/17 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**10\/10080 - n**7\/252 - n**4\/12 - 2*n. Let t(w) be the third derivative of j(w). Find the third derivative of t(h) wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2613888 divided by 12\nAnswer: 217824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4562 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/5)\/(6\/(-4)). Suppose -10 - 26 = -v*q. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35299 - 458849\/13. What is g in -u*g + 10\/13*g**3 + 16\/13*g**2 + 12\/13 = 0?\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -4 + 8 - -2. Let j(p) = -6*p + 13. Let w be j(-1). Suppose 0 = d - 5*z - 111 + w, 0 = 2*d + g*z - 154. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3011 divide 56260535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*l - 40, -z - l = -4*z + 22. Let x = z + -3. Differentiate 0*f**3 - 2*f**3 + f**x + 0 + 1 wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103411 and 2233?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:42 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*u + 88, 2*c + u - 52 = -15. What is the remainder when 22 is divided by (0 + c)*10\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let l = -33.7 - -29. Let m = q - l. Which is the third biggest value? (a) -4 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(20)\/sqrt(5)))**2 - (-1 + sqrt(76))) + 0 + (sqrt(95)*-1)\/sqrt(5).\nAnswer: -3*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 26*q**2 + 76*q + 21. Give w(23).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 22 = 34*f. Let t = 0.02 - 3.02. Which is the third smallest value? (a) t (b) -1\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*b, 1597*s = 3*b + 1598*s. Suppose -28 = -4*x - 4. Let n be (-1)\/(-4)*(-9)\/x. What is the nearest to -1\/3 in b, n, -1\/12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 - 113*g + 75 to u + l*g and give l.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5\/(r\/r**(1\/7)) assuming r is positive.\nAnswer: r**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5595 by -15.\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -2 + 0 + 2 + -4 + -67 + 58?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 2*q - 5. Let o(y) = -2*y**3 + 2*y - 4. Let n(l) = -2*l**2 + 14*l - 5. Let h be n(7). Give h*o(c) + 4*k(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-275))\/(7\/(-30))*(-84)\/16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, 1\/68, 6\/17, -4 in increasing order.\nAnswer: -5, -4, -0.2, 1\/68, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-20)*33\/(-121)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - (-5 - 3))) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1864249456 divided by 232.\nAnswer: 8035558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -60, -88, -116, -144, -172?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56048353*q - 618621018?\nAnswer: 56048353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/5 of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + -5 - ((9 - 8) + (-25 - -38)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/11, 5, -1\/3 in decreasing order.\nAnswer: 5, 1\/3, 1\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0, -2\/3, 1, -26, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2845.901 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 6:09 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31201779 and 1722?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428 (base 11) to base 15.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104819865.1577032 + -107184276.1577. Let b = j - -2364417. Let l = b - 6. What is l rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/448)\/((-2430)\/540).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/46, 0, -5, -37, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-10) - 0 - (-10)\/((-1250)\/(-75)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1933*r - 11220 = 1913*r. What is the remainder when r is divided by 101?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) + (-4317)\/17028. Let h = b + 75307\/28380. What is the common denominator of h and -57\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14246398389 + 650.87?\nAnswer: 14246399039.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335767861.000022 + 335767516. Let p = i - -345. Round p to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 11 = 3*c - f, -10 = 5*c - 4*f. Suppose -10 = -c*p + n, -4*n - 22 = -2*p - 0*n. Let 1\/3 + u**2 - 1\/3*u**p - u = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-304)\/(-380) - (-4)\/(-5). Sort 0.3, -17, 2, z in descending order.\nAnswer: 2, 0.3, z, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(-2*18\/(-48)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -30, 3 in descending order.\nAnswer: 6, 3, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152696?\nAnswer: 2, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1748\/153 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13207601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 6, u: 2, v: 3}. What is prob of picking 1 q and 1 u?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44171 (base 9) to base 7.\nAnswer: 151303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26637 - 19987 = 752*b for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 1365*h + 34800. Determine r(28).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25497 is divided by 8446.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/30 + n**2. Let f(g) = g**2 + 3*g + 3. Let o(y) = -4*y**2 - 8*y - 8. Let m(a) = -8*f(a) - 3*o(a). What is x(m(i))?\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6. Let q(o) = -o - 1. Let i be q(s). Sort -4, -5, i.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (4 + 6 + -3 + -1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 10. Let a be q(-4). Let g = 6 - a. Calculate the least common multiple of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/60 + x**5\/20 + 91*x**4\/24 - 8369*x**3\/6 + x**2 - 11*x - 1. Find the first derivative of f(c) wrt c.\nAnswer: -6*c**2 + 6*c + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 4*p = 5*a - 25, -2*p = 5*a - 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330232400 (base 5) to base 8.\nAnswer: 5313105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 a factor of 1771680901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0, -57, -1\/5, 2, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(1\/3)*l**0\/l*l*l)**(-35)*(l*l**14\/l*l**(-2\/21))**(3\/4) assuming l is positive.\nAnswer: l**(-1741\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120426?\nAnswer: 2, 3, 20071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - 1. Suppose 2*c + 193 = -5*y, 2*c - 2*y = -0*y - 214. Let u = c - -517\/5. What is the biggest value in 3, u, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5363 and 2327888?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61\/30 + -41\/30. Which is smaller: -13.74 or o?\nAnswer: -13.74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 z when three letters picked without replacement from {y: 3, z: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19177445 plus -521?\nAnswer: -521.19177445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -42, 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 14*r**2 - r + 7. Determine d(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(-9 - 848\/(-96)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342719331 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, h: 6}. What is prob of sequence hh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 2 + -1 + 0 + -6340. Let w = q - -101443\/16. Find the common denominator of w and 57\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*w + 13 = 3*w, -5*w = -2*t - 1. Suppose 14 = 3*h + t. Solve -4 = -h*l + 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*t + 75*t + 54 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -0.08.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*g + 4*g + 30 = 19*g - 8*g, -g = -7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 4. Suppose 4*m = 2*s + 5*m - 5, 2*m = 3*s + 3. Let y = 155 + -158. Which is the closest to s? (a) 0.2 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39027.48 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y + 301100607 = 1904051755. Suppose -1 + 5 = 2*p. Suppose -p*i + 21875356 = -y. What is i rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1581923*y**2 + 14*y**3 + 122*y + 45*y**3 + 1581923*y**2 as u*y + i + q*y**2 + v*y**3 and give u.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6925446?\nAnswer: 2, 3, 11, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-6\/37)\/(((l\/l**1)\/l)\/l*l)**(-19) assuming l is positive.\nAnswer: l**(-1409\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)*a)**(-2)\/((a\/(a\/((a*(a*a**(-4\/7))\/a*a)\/a)))\/a**(-14)) assuming a is positive.\nAnswer: a**(-547\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1652468\/3231 or -510?\nAnswer: -1652468\/3231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.3, 272, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:08 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9705 and 73\/60.\nAnswer: 38820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/1790357?\nAnswer: 2\/1790357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364836.8 rounded to the nearest ten thousand?\nAnswer: 5360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -871, -2832, -6115, -10714, -16623?\n\"Answer: n**3 - 667*n**2 + 33*n - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 + 5 = 0. Suppose 3*v = 3*r + 4*v - 3509998, 4679994 = 4*r + f*v. Round r to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (-2 + -1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 560.585 - 0.585. Let t = h + -559. Is -0.42 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.43475 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/3 - 2\/(-6). Suppose -4*l + 2*l = -2*f + 6, -3*l + 16 = 2*f. Suppose -6*d + u = -f*d. Solve -t - 4*k = 8, d*k - 2 + 8 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 369*a**2 - 6*a + 2. Let f(o) = -o**3 + 3*o - 1. Determine 2*f(j) + r(j).\nAnswer: -3*j**3 + 369*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 4*m**2 + 7*m**2 + (m**2 + 4*m - 4*m)*(-1 + 4 - 5).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1)**(16\/3)*c**0\/(c*c**(-2\/7)*c)*(c*c\/(c*c**5)*c\/(c*c*c*((c**(2\/7)\/c)\/c)\/c*c))**(-32\/9) assuming c is positive.\nAnswer: c**(508\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(612) + 1 - sqrt(612))**2 + -2 - 3*(sqrt(612) - (sqrt(612) + 2))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.67054 and -124.\nAnswer: -122.32946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(304) + sqrt(304) + 0 + -3 + -2 + 1)**2.\nAnswer: -64*sqrt(19) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -511.593549542 + 512.14155. Let v = p + -0.548. What is v rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2945 + -498.\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhhhlllhlhllhhhlll. Give prob of picking 4 l.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/12 - k**3\/6 - k**2\/8 - 86*k. What is n in b(n) = 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-13)))\/(m**7*m*m))**(2\/11) assuming m is positive.\nAnswer: m**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 7, 28 = 4*t - 38*a + 34*a. Let s(y) be the first derivative of 8\/15*y**5 - 14 + y**4 + 0*y + t*y**2 - 8\/9*y**3. Find d, given that s(d) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 18 = -4*f, -21 = -0*j - 3*j - 4*f. Suppose n + n - 28 = -j*i, 0 = -i + 5*n + 15. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23203130112 (base 4) to base 16.\nAnswer: -2e3716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**3 + x + 2. Let q = -6 - -4. Let b be w(q). Suppose 4*i = 7*i - b. Solve i = 4*j, -3*g + 3*j = 3 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**7\/1260 + 5*l**4\/8 + 8*l**2. Let d(m) be the second derivative of r(m). Let n(t) = -18*t. Calculate d(n(h)).\nAnswer: -648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.333 (b) -0.4 (c) 1\/3 (d) 0.03 (e) 63\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Let y(l) = -l**2 + l + 1. Let h(p) = -3. Let v(s) = -s**2 + s - 7. Let w(c) = -5*h(c) + 2*v(c). Calculate i*y(o) - 2*w(o).\nAnswer: o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 divided by 16?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + -4*sqrt(112)).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 452.1? (a) -2 (b) -1\/231 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 at most as big as -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.5 - 25. Let n = r - -40. What is the closest to 1 in -7, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (244\/(-50))\/((-2)\/20*2)*(-620)\/248\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -20 + 44 + -13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.041, 0.2, 158, -2\/3?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803 - 1129 = 4*i. Let o = 9179\/19 + i. Is 0 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a**3 + 2*a**2 + 4. Let o(s) = 34*s**3 - 7*s**2 - 13. Give 7*b(y) + 2*o(y).\nAnswer: -9*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0*m - 9*m**2 - 9 + 6*m + 10*m**3 + 15*m**2. Is o(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 1 - 21. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((28\/248)\/(-7)). Suppose -5*r - o = -489. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15200?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -0.4\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s + 4 - 2*s**2 - 1 + 4*s**2 - 4*s**2. Differentiate f(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -19*z + 22*z - 6*z. Let h(o) = -37*o. What is h(f(m))?\nAnswer: 111*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232421 + -1202422?\nAnswer: 24444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/63 + 1\/63. Let h = x - 32\/63. What is the second biggest value in -3, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1113 or 12228\/11?\nAnswer: 12228\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 73716869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/20 and 89\/74.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 65. What is the remainder when 28 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164\/6*(-1 + (-15)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5 - 21*x**4 + 111*x**3 + 129*x**2 - 756*x + 540 = 0.\nAnswer: -10, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1531134 - -14?\nAnswer: -1531120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3775566 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/158653 and 65\/302883.\nAnswer: 3331713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -404 - 62?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279 - 274. Let r be 165\/(-88)*2\/m. What is the fourth biggest value in 3\/4, r, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0 - 10 - 55*b + 35*b. Let o(d) = d - 1. Let r be o(-2). List the prime factors of m(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984, 1612, 2242, 2874, 3508, 4144?\nAnswer: 4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 793.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from eluzf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/1*1*1. Let k = -5 - g. Suppose -2*v - 74 = -3*j - j, 45 = 3*j - k*v. Solve 3*u + 0*f - f + 8 = 0, -5*u - 5*f - j = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 23\/18*l**3 - 1 - 1\/36*l**4 + 27*l - 11\/3*l**2. Factor c(b).\nAnswer: -(b - 22)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 4. Let v be t(3). Suppose -3*c - v*g + 79 = 0, -5*c + 2*g + 108 = 28. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27640491209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 8. Let g(i) = -i**2 + 9*i - 7. Let r be g(k). Solve -4*h + 4 = -4*q, 0 = -5*q + 2*h - 0 + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5459969 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(125) + 1) - (-2 + sqrt(125)*2) - 5*2*(sqrt(125)*1)**2) + 4.\nAnswer: -1245 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 63 = -9*q. Let i(k) = 17*k**3 - 3*k**2 - 3*k + 3. Let v(z) = 17*z**3 - 2*z**2 - 2*z + 2. Calculate q*v(b) - 2*i(b).\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 5*u + 3*l, 3*u - 326 = 4*l - 2*l. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and 39770\/3349 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -10\/1589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362 - -554. Let a = 117 - c. Let f = -75.0295 - a. What is f rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1*q\/(q\/q**(-4)))\/(q\/((q\/q**(2\/7))\/q))**(-41) assuming q is positive.\nAnswer: q**(355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3.316 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 5, 16, 0.0682, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*r**2*v - 27*v wrt r?\nAnswer: -220*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -317\/13, 5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.62 + 0.12. Let d = -3 - -5. What is the third biggest value in d, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Four letters picked without replacement from rbzuriabububbii. What is prob of sequence uuai?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14539 and 77799127?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 7*v - 13. Let i be 12*(6\/(-2) + 84\/36). Let n be p(i). Put -1, n, 1 in decreasing order.\nAnswer: 1, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(18) + sqrt(2)) + (sqrt(90)\/sqrt(10))\/sqrt(3))**2 - sqrt(12)\/(2*sqrt(4))*-4*1.\nAnswer: 2*sqrt(3) + 75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 + d + 5. Let p(c) = 3*c**2 + 2*c + 1. Let i(a) = -2*a**2 - a - 1. Let l(h) = 7*i(h) + 3*p(h). Let r(y) = 5*l(y) + 4*x(y). What is r(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 251, -2, -3, -8, 26 in ascending order.\nAnswer: -8, -3, -2, 3, 26, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23563 - 24911 + 54297)*(3*h - 2*h + h).\nAnswer: 11646*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t\/t**7*t))\/t)**(-36) assuming t is positive.\nAnswer: t**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + 7*r - 20 + (0 + 0 + 2)*(-3 + 1 + 3)*(-1 + 2*r + 1).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18352*x**2 + 801*x + 5 wrt x.\nAnswer: -36704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3284\/9 or -364?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 30*d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjntcccjttjjc. Give prob of sequence tncc.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1766608 - -48?\nAnswer: -1766560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4851 or -383276\/79?\nAnswer: -4851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 1848 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 988581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 4, q: 1, x: 2, c: 9}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.08 (c) 2153 (d) -0.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/3 - 37851740*y + 1074565665770700 = 0. Calculate y.\nAnswer: 56777610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 1. Let p be v(3). Suppose 4*a = -m + 16, -2*a - 1 = -p*m + 1. What is the first derivative of 0 - 5 + m + 2 - 2*x**2 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 430689.\nAnswer: -34\/143563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/1255 and -69\/10?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvyvvvyvvvvvvvvvvv. What is prob of sequence yy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 34. Let f be (21\/28)\/((-1)\/b). Let w = 365 + -1096\/3. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b. Solve 1 = p + 2, t - 3*p - 2 = b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - sqrt(304)*1*-6 - 5*(sqrt(304) + -1 + sqrt(304)))**2 - (-2*(sqrt(171) - sqrt(171)*-2))\/(sqrt(225) + sqrt(225)*-2).\nAnswer: -606*sqrt(19)\/5 + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 1 = 329. Calculate the remainder when f is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -36*p - 7. Let j(f) = 5 + 132*f + 88 - 97*f + 216*f + 217*f. Let h(m) = -27*d(m) - 2*j(m). Let u(z) = -2*z. Calculate h(u(q)).\nAnswer: -72*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**3 - 998*p**2 + 223*p**3 + 998*p**2 - p.\nAnswer: 255*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53690 by -8.\nAnswer: -26845\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 95. Let o(p) = 201*p + 4. Let y be o(z). Let w = y + -282. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -13. Let i(y) = -y**3 - 6*y**2 + 6. Let n(v) be the second derivative of v**4\/12 - v**2\/2 - 2*v - 3. Determine p*n(r) - i(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1282*z = 1281*z + 8 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -8*y**4\/3 - 30346*y**3\/3 - 93366*y**2 - 310304*y\/3 - 60544\/3 = 0?\nAnswer: -3784, -8, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 2, e: 1, v: 2, n: 4, y: 9}. Give prob of sequence vii.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 8:33 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 2*q**3\/3 + q**2 + 2*q. Differentiate b(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -7122 (c) -2 (d) 2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 101*h + 2842. Determine s(-29).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 - -295. Let i(d) = -2*d**3 - 3*d**2 + 4*d - 1. Calculate the remainder when q is divided by i(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 356*j**2 - 2896*j + 5824.\nAnswer: (j - 4)**2*(j + 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 15*o**2 + 39*o - 79. Let q be s(-9). Round q to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*c = -0*w - 13, 0 = 4*c - 4. Let v(u) = -w - 2*u**2 + 5*u**3 + 9. Does 8 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103482, 103483, 103484, 103485, 103486, 103487?\nAnswer: 103488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) -1676\/3 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -1.3355.\nAnswer: 2.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-3150)*235 + -1 + 2\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + 56 - ((-5 - 5) + (4 - 1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*y + 9315 + 3954, -n - 3 = 0. Does 81 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46578 + -6924269.1.\nAnswer: -6970847.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)\/v**(-5)*v*v**(-6)*(v*v\/v**(-2)*v)\/v assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 4975*q**4\/4 - 2956*q**3\/3 + q**2 + 7940. Find the third derivative of h(b) wrt b.\nAnswer: 29850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1900\/12519 + 2\/963. Sort -0.5, -1\/30, 6, b in descending order.\nAnswer: 6, b, -1\/30, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2662 and 75\/44.\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1480386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*m - 17. Suppose 3*x - m = 5*p, 0 = -6*x + x - 3*p - 3. Put -4, 5, x in descending order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 + 220. Let l = 12 + -5. What is the remainder when a is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 6*a**4 - 12*a**3 + 6*a**2 + 9*a.\nAnswer: 3*a*(a - 3)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1872 and 14157?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(1\/5))**(-3\/4)\/((x**(-1\/3))**(20\/3)\/(x**(-1\/2))**(-2\/55)) assuming x is positive.\nAnswer: x**(1109\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184032249, 368064499, 552096749, 736128999?\nAnswer: 920161249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3344.578cm?\nAnswer: 33445.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 85. Let g(c) = c - 90. Let p(q) = -5*g(q) - 6*h(q). Let t(f) = f**2. Calculate p(t(k)).\nAnswer: k**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(6\/3) + 6\/10*-35.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**3 + 2224*d**2 - 4476*d - 6696 = 0.\nAnswer: -558, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*6.5154\nAnswer: 6.5154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28676\/(-64521))\/(3*(-3)\/(-18)*-1)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 20. Let j(v) = -v + 9. Let n(g) = -4*i(g) - 9*j(g). What is n(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 2\/9*b**3 + 0*b**2 - 2*b - 1\/6*b**4 + 0 + 1\/30*b**5. Let x(p) = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -2 - (-1 - 6). Let i be (-3 + r)\/((-3)\/(-5)). Solve -2*c - 9 = -5*z, -4*z - i*c = -25 - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7441 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/4, -0.9, -2\/11, 2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26483, -106041, -238697, -424451, -663303?\n\"Answer: -26549*p**2 + 89*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:23 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 - -362. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4310, 8105, 11902, 15701, 19502, 23305?\n\"Answer: k**2 + 3792*k + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4 - 2*j**2 + 4*j + 4*j**2 + 2*j + 0*j**2. Suppose 4*c - c + 37 = -5*z, -c = -2*z - 6. Let w be d(z). What is the highest common factor of 36 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3411809l?\nAnswer: 341.1809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 0 - (12 + -7 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267321.6 rounded to the nearest ten thousand?\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -72. Let j be 14\/f + (-5)\/(-2). Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 112. Let r = l - 79. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*((sqrt(1250)\/sqrt(10) - sqrt(5)) + 1))**2 + ((-4 + (sqrt(405)*-1 - sqrt(405)))*-5)**2).\nAnswer: 18040*sqrt(5) + 204905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 42. Let l(r) = -r**3 - 2*r**2 - 6*r - 5. What is the tens digit of l(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 4)*(16*z - 5*z**2 - 16*z) - 3*z**2 + 2*z**2 + 2*z**2 to the form f*z + i*z**2 + r and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/9561 and 109\/24.\nAnswer: 76488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4010387?\nAnswer: 19, 211073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -184 less than or equal to 233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3262 + -3251. Suppose -5*q = -d - 41, 2*q + 6*d - 38 = d. Let t be (-44)\/6*q\/(-6). What is the greatest common factor of o and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -333212, -660030, -986860, -1313708, -1640580, -1967482?\n\"Answer: -o**3 - 326811*o - 6400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 287.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*25\/20 - -5. Suppose 40*f - 1289 - 1711 = y. Calculate the highest common factor of f and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**3*r - q**3*v + 52*q**2*r*v + q*r*v + 2*q*r - 2*q*v - 13*r*v wrt q.\nAnswer: -18*q*r - 6*q*v + 104*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 17257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271880653 to the power of 1\/2, to the nearest integer?\nAnswer: 35663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1506 = -s + 5*b, 29*b = 22*b + 21. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3\/8 (c) -413 (d) 5 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454001?\nAnswer: 107, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.685 and 257368354642.\nAnswer: 257368354640.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by -2042\nAnswer: 97\/2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -124 - (-385 + 441).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1\/8*x**4 - 1\/2*x**3 + 0*x - x**2 + 0. Differentiate j(c) with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91418381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 3*x - j - 3*j, -4*x - j + 88 = 0. Suppose n + 34 = 4*n + 4*v, 2*n = -3*v + x. What is the highest common factor of n and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 473\/(-129)*(-9)\/11. Let d(p) = -15*p + 5. Let r(h) = -1. Determine g*r(v) + d(v).\nAnswer: -15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60411.\nAnswer: 3, 13, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -12 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 26 - 2*o - 16 + 240*o**2 - 227*o**2 to the form f*o + i*o**2 + t and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 27*r**2 - 11*r - 12. Determine h(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, 4, 0.3, 2\/7 in increasing order.\nAnswer: -184, 2\/7, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.1, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5572955 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0 (b) 47\/2 (c) -4 (d) 0.0672\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6)*(-18)\/(-146). Let l = q - 160\/2117. Are l and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 306051\nAnswer: 1\/102017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i - 108. Let v be -1*8\/10*(-6 + -24). What is the greatest common factor of v and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514255 is divided by 171337?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/3832672?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58888.\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 8314*i - 24960.\nAnswer: 2*(i - 3)*(i + 4160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40114 - 24283. List the prime factors of m.\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93696522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73 - 28) + (-126 - -28)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-4)\/(-72)*-4). Suppose -1143 = -k*o - 6*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 778*r + 11808. What is m(-15)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1 - u**3 + 3*u**3 + 161445*u**2 - 161441*u**2 + 2*u. Calculate c(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 26 + 22 + 1 + -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -21.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y + 2. Let g(a) = a. Determine -5*g(b) + x(b).\nAnswer: 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 83. Suppose -8*h + 32 = 8. Suppose 0 = -2*o + h*o - 8. What is the highest common factor of t and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8835 = -7*j - 8828 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 8. Let v(g) = 10*g - 6. Let d(c) = 3*c - 2. Let a(o) = -3*d(o) + v(o). Calculate -4*a(u) - r(u).\nAnswer: -u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2074 = -5*g + 1381. Let s = -415 + g. Let v = s - 165. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 1 c when three letters picked without replacement from tmmcmmccrmqzqcc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)\/h**(2\/13)*h\/(h**(-1\/10)*h)*h*(h*h\/h**(-2)*h)\/h)\/((h**(1\/3))**(-26\/5)\/(h**(1\/2)*h*h\/(h\/h**(-1\/12)))) assuming h is positive.\nAnswer: h**(1237\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000070293 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**2 + 0 + 1\/5*p**3 + 0*p.\nAnswer: p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k. Let v(o) be the first derivative of -14*o**2 - 1470. Give w(v(c)).\nAnswer: -168*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7650 - -7.696.\nAnswer: 7657.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/312 and 35\/32.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 1\/3*r**4 + 0 - r + 0*r**3 + 58*r**2. Let o(h) = 1 - 1 + 3*h. Calculate o(l(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 95844 = -2*z + 10*c, 4*z = 5*c + 191776. Is z a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44963741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j + 701 = 222*j + 4188 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 4416*m**2 - 266458*m - 759684.\nAnswer: -2*(m + 3)*(m + 59)*(m + 2146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let y(i) = -2*i + 12. Calculate -4*k(r) - y(r).\nAnswer: -2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose 0 = -3*p + 5*b + 4 - 144, 2*p + 125 = -3*b. Let t = 167\/3 + p. What is the closest to t in -2\/11, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z**3 + 17*z**2 - 5*z + 3. Let s(v) = -17*v**3 + 18*v**2 - 8*v + 1. Let y(x) = 6*d(x) - 5*s(x). Calculate y(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w - 1 - 8*w - 5 - 7*w. What is the least common multiple of 2 and p(-8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18614246 to the power of 1\/2, to the nearest integer?\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1044241\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77714597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -32 - -10 - (-3 + 11)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/49252 and 83\/246260?\nAnswer: 246260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuuuih. Give prob of picking 2 h and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2 + (sqrt(13) - 2*sqrt(13)))**2 - sqrt(13)) + -2 + (-1*sqrt(325))**2)*4.\nAnswer: -20*sqrt(13) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzzddrrzzzrzkzkz. What is prob of picking 2 z, 1 k, and 1 d?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + -57.3. Let y = 1097649 + -1097589.99882. Let r = m + y. What is r rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by ((-8)\/6)\/(12\/(-342)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 975 = 2*i, -4*i - 366 = -2*h - 0*i. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*n - 15837 + 13698 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24773238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-8 - -9) - -4 - (-20 + 21) - -39.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 0 + 3)*(0*f - f + 2*f) as y*f + j and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 0.0951.\nAnswer: 4.0893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Let b = 831 + -688. Suppose w*g - 5*s - b = -0*s, 2*g - 96 = 4*s. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 3*m**2 - 2*m. Let g be d(1). Suppose -g*s - 4*n = 2*s - 344, 348 = 4*s + 3*n. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2911.5942 - 2912. Let w = o - -0.303. Round w to three decimal places.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*b + 8, 4*i - 4*b = i + 9. Let l(j) = -j**2 + 6*j + 1. Let n be l(6). What is the units digit of i\/n*(-3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 + a)*(9*a - 19 + 19)*(0*a - a + 3*a) to the form b*a**3 + m*a + p*a**2 + c and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006304347 rounded to 6 decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.9000246 - -28.9. Round d to 7 dps.\nAnswer: -0.0000246","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -0.4, 1\/25 in ascending order.\nAnswer: -3, -0.4, 1\/25, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3212472 - 250?\nAnswer: 3212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + q = 5*q - 11, -i - 3*q + 17 = 0. Let l(f) = -5 + 3 - i*f + 5 + 41*f**3 - 44*f**3. Let p(k) = 3*k**3 + 4*k - 2. Determine -2*l(d) - 3*p(d).\nAnswer: -3*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 50*j**2 - 12*j + 11. Determine o(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*82169.\nAnswer: 246507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/8 + 49*g**3\/6 - 11*g**2\/2 + 1. Let l(c) be the second derivative of w(c). Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0376847585 rounded to 3 decimal places?\nAnswer: -1.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -1. Let q = -2 + u. Find y such that 16*y**5 + 2*y + 3*y + 6*y**3 - 4*y**4 - 15*y**5 - q*y - 4*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -21*t + 107. Let u be c(5). Let r(y) = 19 - 90*y**2 - 65*y**u - 19. Let d(f) = 2*f. Determine r(d(i)).\nAnswer: -620*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8829 and 4013271?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235a7 (base 14) in base 12?\nAnswer: 48043b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12375.877 - -12385. Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.203193581*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6025087 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*6\/15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 1}. Give prob of sequence fv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0271463444 rounded to four decimal places?\nAnswer: 0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 11, s: 3}. Give prob of sequence lssl.\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-10) - 8\/20. Suppose -p + 0*p = z*m - 79, 101 = 3*m + 5*p. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*u**2 + 3)*(-5 - 3 + 0).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + 0 + (sqrt(17) - (-5*(sqrt(17) + 0) - sqrt(17))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-126)\/(-26) + 2\/13. Suppose 193 = -3*f - y*v - 237, -4*f - 4*v = 584. Let i be 2320*(-2)\/(4\/f). What is i rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 (base 15) in base 10?\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {x: 2, c: 15, f: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/168 and 19\/766832?\nAnswer: 16103472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/11 + 14888*a**2\/11 - 27330618*a\/11 - 1404000900\/11.\nAnswer: -2*(a - 3747)**2*(a + 50)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y, -2*n + 4*y = -423 + 71. Let h = n - 91. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 209 = 20*o. What is the third derivative of -29*z**3 + 5 - o*z**2 + 17*z**2 - 6*z**2 wrt z?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6)*(0 - 2*h + 0) + 2 - 2*h - 2 + (4 + 0 + 0)*(-324*h - 316*h + 673*h).\nAnswer: 128*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.035 - -0.007. Let a = o + -2.092. Let s = a - -0.05. What is the smallest value in s, -4\/3, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 3*f + 3. Let u(d) = -d**2 - 2*d - 2. Determine -3*q(z) - 4*u(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*r - 73*r - 20 + 20.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssmmmmussssusms. Give prob of picking 2 u and 1 m.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*m - 2698, -2*h + 2714 = -0*m - 5*m. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 - 9*v\/4.\nAnswer: -v*(v + 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91)*-3)*-5)\/(sqrt(42)\/sqrt(6)*-6).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-82)\/4)\/((-396)\/(-3) + -133)?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56465 + -33282. What is the greatest common factor of 97 and z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2685, 2683, 2681?\n\"Answer: -2*b + 2687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7429136 micrometers?\nAnswer: 0.0007429136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49036852279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541087, -541092, -541097, -541102, -541107?\nAnswer: -541112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-15 + 2) - 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 58*x + 3483. Determine g(-30).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h**3 + 8*h**2. Let n be 10 + -14 - (-8 + 2). Let u(b) = 44*b**n - 20*b**2 - 19*b**2 - 8*b**3. Determine -5*p(o) + 8*u(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24380 less than or equal to 24687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -318*s**5 + 314675*s**3 - 314675*s**3 - 226*s**2 - 4*s**2 wrt s.\nAnswer: -19080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/248 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56 and -0.06?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 2. Let l be p(-2). Sort 4, -1, l in increasing order.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-5\/7)*((a*a\/(a*a\/(a*a*a\/a**(-4)))*a)\/a*a)\/(((a*a**(3\/4))\/a)\/a))\/((a*a**(-3\/5))\/a*a\/a**7*(a**1)**(-45)) assuming a is positive.\nAnswer: a**(1197\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**5*q\/q**(1\/3)*q\/q**(-4)*q*q\/(q\/q**6*q) assuming q is positive.\nAnswer: q**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwwwwwdw. Give prob of picking 2 w.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z**(2\/9)*z**18\/(z*z**(-10)))**(-7) assuming z is positive.\nAnswer: z**(-1904\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 22*x + 0 + 0.\nAnswer: -3*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -131684315 minus 2.6?\nAnswer: -131684317.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4\/(-2) + 5. Let f(d) = d**3 - 4*d**2 - 6*d + 6. Let h be f(5). Let b = h + m. Solve 2*g + b*x - 25 = -x, -3*x = -15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 232, 903, 2014, 3559, 5532, 7927?\n\"Answer: -z**3 + 226*z**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*o + 1454 = 0, -4*o - 2434 = 4*f + f. Suppose -5*i = 5*l, 5*i - 3*l - 2*l = 0. What is the common denominator of -97\/2 and i + (-2 - f\/156)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let r be 6\/2*16\/12. Give x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -2 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49283 - -2?\nAnswer: 49285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5805 and 15?\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 162, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/(12\/(-9))*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14552 divided by 856?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57821 is divided by 4818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1072\/(-3))\/(((-187)\/33)\/17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 5. Let i be (-4)\/(-6) - 138\/18. Let c be o(i). Solve 5*x - 30 = t, 0*t + c*t - 15 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 5*k + 46. What is the first derivative of -w - k + 50 - w wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -198 + (34 - (-9628)\/116).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 180602 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of ((-4187)\/4)\/(16\/(-320))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144056770 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/13))\/(g\/(g\/((g**(-5)*g)\/g))))**40)**(-8) assuming g is positive.\nAnswer: g**(-24320\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53701 in -4, -1\/5, -0.5, 2\/295?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -213. Let t = s + -38. Solve -5*o + 4*b = 0, 3*b = -t*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let m(a) = 3939*a**2 + 1437*a. Calculate m(d(j)).\nAnswer: 3939*j**4 - 1437*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1890080 (base 10) to base 7.\nAnswer: 22031303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = 0, -3*a + 8*a + 2*p - 270 = 0. What is the smallest common multiple of 130 and a?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/180 - j**5\/120 + j**4\/12 - 6*j**3 + 2*j**2 + 27*j. Let f(g) be the first derivative of h(g). Give f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 28*t - 26. Let i be x(-29). Let l(q) be the third derivative of 13*q**4\/8 + 19*q**3\/6 + 2*q**2. Is 34 a factor of l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78, -1078, -2754, -5112, -8158, -11898, -16338, -21484?\n\"Answer: -x**3 - 332*x**2 + 3*x + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*q - 15*l**3 + 1470*l**2*q + l**2 + 13660*l*q - 2*q wrt l.\nAnswer: 12*l*q - 90*l + 2940*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -19*(9\/4 + (-20)\/80). Suppose -2*y - 43 = w, -4*w - 12 = -4*y + 136. Is w <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11790 divided by -5?\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 7*q**2 - 8*q + 7. Let h be -4 - (0 - 1 - 8). What are the prime factors of m(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 10*y**2 + 45*y - 90.\nAnswer: -5*(y - 3)*(y - 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 5*j**2 + 2*j + 9. Let g be h(4). Which is the smallest value? (a) 0.5 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983 smaller than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 116.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.168 in 451, 1, -3\/4, -4\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14004 and 6093.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*o - 17 = 0, 5*o - 4 = 16. Suppose -5*m + 285 = -l*a, 3*m - 169 = -a + 3*a. Suppose 5 + m = 5*y + 5*x, -12 = -2*y + 2*x. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(12\/5))\/m**(-4\/11))**(3\/20))**(-10\/9))**30 assuming m is positive.\nAnswer: m**(-207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 24*q = -33. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c**2 - 29*c. Let p = -8 - -14. Let l(z) = 32 + 5*z - 32 + 2*z**2. Let t(m) = p*q(m) + 34*l(m). Determine f so that t(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - -210113?\nAnswer: 210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -45 + 28 - (1 + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/2 + 647*t**2 + 9115*t\/2 - 5204 = 0.\nAnswer: -8, 1, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -847 divided by 93.\nAnswer: -847\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -946e16e + -3?\nAnswer: -946e172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10498669067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 28 = -13. Solve -2*s - 1 - b = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -876891.4\nAnswer: 175378.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20098940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 14*r**2 - r + 14. Let y be u(14). Solve n - 3 = -y*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - (11 + -2) - (-18 - (-13 - 3))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from fcfffcffffcfcc.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**4 - 7*p**3 - 309*p**2 - 33421*p?\nAnswer: 36*p**2 - 42*p - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1827 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*v = 4, -2*f + 2 = 4*v + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(42)\/sqrt(3)*-2 + -3*sqrt(1134))\/(-2*sqrt(350)\/sqrt(7)*-5).\nAnswer: -14*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/8 + j**3 + j**2. Let f(b) = -6*b + 12. Let z(u) = -4*f(u) + 9*y(u). Find the first derivative of z(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44085 or -43882?\nAnswer: -43882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -30, 3, 6081, 0 in descending order.\nAnswer: 6081, 3, 2, 0, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 468*u = 644*u - 44000 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 18*x**2 + 27*x + 154. Determine w(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1526305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1150144032234 and -167?\nAnswer: 1150144032067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - 1486078353.7022\nAnswer: -1486078352.6022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28347.\nAnswer: 3, 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 180270281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + o + 2*o = 6, o = 2. Solve x = -4*y + g + 5 + 4, 27 = 2*y - 5*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 31 = -167 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 4\/225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slkklsksulluekkslslu. What is prob of picking 1 l and 1 u?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143974855?\nAnswer: 5, 1787, 128033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102144 and 5376?\nAnswer: 102144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqu when three letters picked without replacement from {u: 6, q: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/3 - 41*d**4 + 2149*d**3\/3 - 3439*d**2 + 5004*d = 0.\nAnswer: -139, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/105 - (36\/(-10) - -3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7741532067 - 0.05.\nAnswer: -7741532067.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h + 40. Let c be m(2). What is the hundreds digit of (c\/(-9) + 7)*808\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 38*y**2 + 173*y + 6403. Give t(-38).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 529577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33215*r**2 + 46558*r?\nAnswer: 66430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 + 215 + -22 + (0 - 5)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 7. Suppose -2*u + 108 = 2*u. Suppose 3*j - u = 3*l, -5*j + 3*l - 11 = -48. What is the units digit of i(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -252.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-9)*(28\/(-7) - -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4307723.\nAnswer: 7, 615389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**2 + 41 + 269 + 88 + 12*y - 76 wrt y?\nAnswer: -4*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i + 2*y, -2*i - 2*y + 4 = 2*i. Suppose 0 = b - 5*f + 15 - 43, 3*b - 24 = i*f. Let q be (-13)\/((-1170)\/24) + (-4)\/6. Is q <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1006 + 345. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 21 = -28*r. Suppose u + 2353 - 354 = r*v, 0 = -2*v + 5*u + 1337. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.13 + -26. Let a = -0.5079952 - -0.637994. Let n = a - c. Round n to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2317*x = -1882*x - 13485 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 + 5*t**3 + 2*t - 17*t**3 + 11*t**3 + 9 to a*t**3 + y*t**2 + w + n*t and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0456 + -249.2544. Let n = u + 236. What is n rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:55 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720390 and 9798?\nAnswer: 1176396870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/15 - 1336*u**3\/15 - 105156*u**2\/5 - 9940968*u\/5 - 277918614\/5 = 0. What is u?\nAnswer: -207, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-911988)\/7238.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10326.6 - 10327. What is the closest to -9 in p, 1\/5, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104232 (base 5) in base 10?\nAnswer: 3692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -240391 (base 13) in base 9?\nAnswer: -1546177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12821 - -593\nAnswer: 13414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 12:14 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 8555 = 147 - 512. Calculate the greatest common divisor of y and 2232.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:11 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 less than 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.36 to the nearest integer.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9432492*n**5 + 2*n**4 + 2*n**2 + 864308.\nAnswer: -565949520*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/16))**(-17))**(-42\/5) assuming j is positive.\nAnswer: j**(357\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {a: 7, j: 1, m: 3, p: 5}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Suppose -v*w + 34 = w - 4*u, -3*w + u + 22 = 0. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91*-5611490.\nAnswer: -510645590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.6. What is the third smallest value in u, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(3 - 91\/70).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -6a?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 21*p**3 - 227*p**2 - 7*p + 6. Let a(g) = 15*g**3 - 228*g**2 - 8*g + 5. Let s(m) = -4*a(m) + 3*o(m). What is the second derivative of s(z) wrt z?\nAnswer: 18*z + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11094923 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 20, 44, 78, 122?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvggvgggg. Give prob of sequence vgv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44731 (base 8) to base 9\nAnswer: 27835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1444)\/20216*((-108)\/10)\/(6\/(-20)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -208, -202, -182, -142, -76?\n\"Answer: l**3 + l**2 - 4*l - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0 - 1\/270*n**5 + 3*n**2 + 1\/108*n**4 + 0*n + 0*n**3 + 1\/945*n**7 - 1\/540*n**6. Solve x(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12211312 (base 4) to base 13.\nAnswer: -c39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, 2\/17, 2, -1\/93?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - 7*y + 0*y + (y + 4 - 4)*(2 + 0 - 1))*(-2 + 2 - y)*(-1 - 2 + 2).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3024, -3, -2, 1 in descending order.\nAnswer: 3024, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448662363 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3303732 is divided by 660659?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2795723928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 - 9*g**2 - 9*g - 15. Let p(w) = -3*w**3 - 5*w**2 - 5*w - 8. Let t(z) = z**3 - 9*z**2 + 9*z + 35. Let q be t(4). What is q*p(v) + 5*u(v)?\nAnswer: -3*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 408.119788 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 541003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - -7) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*l - 83. Suppose 3*y - k = 4 + 8, -l*y - 5*k = -25. Solve 5*p - 10 = y*d, 5*p + 0*p + 4*d = -26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 - 70\/21. Let s be (640\/45)\/m - -4. Determine p, given that -s*p + 2\/9 + 2\/9*p**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 40. Suppose -4 - 11 = -f*w. Solve -7 = -5*k + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/5, 3, 3\/2, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22200 + -1012221220?\nAnswer: -1020021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v + v**2 + 373 - 37*v + 30.\nAnswer: v**2 - 5*v + 403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*w - 144 = 0, 109 = 2*k - 11*w + 6*w. Suppose -k*o + 58*o = 54. Let v(a) = a**2 + 7*a + 5. Calculate v(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Rearrange -o**4 + 8*o**3 + 5*o**2 - o**2 + 4*o**2 - 10*o**3 to the form v*o**2 + p*o**4 + k + i*o**3 + y*o and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -38. What is the closest to 1\/3 in h, 5, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1.25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 5. Determine i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 - 4*r**2 - 3*r - 1. Let u(w) = w**2 + 0*w**3 + 3 + 5*w**3 + 3*w + 2*w**2 - 1. Let t(z) = 4*i(z) + 3*u(z). Is t(-8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b9b - a7?\nAnswer: -2c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from zgvyvdk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 71\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or -13.987?\nAnswer: -13.987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - -13 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 308 = -3*y - 317, 15 = -5*y + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -70.5. Let y = 5.5 - a. Suppose -54 = 5*m - 3*j, 6 = -3*m + 3*j - 30. Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 8) + (-2)\/2. Let u = t - -9. Find x such that 9*x**3 - 8*x**2 + 5*x**2 + 3*x**u - 12*x + 3*x**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**5\/7 - 1881*u**4\/7 + 292293*u**3\/7 + 309237*u**2\/7 - 333000*u - 3530412\/7 = 0.\nAnswer: -2, 3, 291, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h - 25*h + 6*h in the form b + u*h and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - (14 + -22)) + -9 - -8?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3172626 divided by -4099?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2372*o**2 + 4412*o**2 - 2205*o**2 - 953*o**4 wrt o.\nAnswer: -22872*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-11)\/j*j**18*(j**(-16)*j*j)\/j*j**(1\/16)\/j assuming j is positive.\nAnswer: j**(-159\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515561700 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*t = -8, u - 4 = -0*u - t. Let a = -1 + 1. Solve a = -u*x - 19 + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 5, r: 1, o: 5}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 266, 274, 294, 332, 394, 486?\n\"Answer: m**3 + m + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - -4*-2*sqrt(190)) + sqrt(190))*6)\/(6*(sqrt(640)*2 + sqrt(640) - sqrt(640) - sqrt(640) - sqrt(10)))*-3.\nAnswer: 18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**2 + 12*w + 54. What is the hundreds digit of s(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:31 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c + 19*c - 165 = -20*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18*8\/(-60))\/((-2)\/(1040\/39))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13320521 (base 8) to base 15\nAnswer: -3e10b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 2, v: 6, d: 2}. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 2518294.\nAnswer: 57920762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 - 4*g - 1. Suppose 0 = 4*k - 20, -u - k = -6 - 0. Let n(q) = 4*q**3 - q**2 + 1. Let a be n(u). What is l(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 + 260*b**2 + 16*b - 1040 = 0. Calculate b.\nAnswer: -2, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*u = 303*u + 1836 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeqqqqqqqqqe. Give prob of picking 2 e and 2 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1291 and -97843.\nAnswer: -99134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 25. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 2*v - 0*d, 2*d - 10 = 0. Let c = 4 - v. Suppose 0 = -28*t + 12*t + 32. Solve c = -4*k + t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3*q**2 + 3*q. Let i be n(2). Suppose i*m - 2*y = 4, -2*m = y - 5*y - 8. Suppose -k - k + 42 = m. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/120 - o**4\/24 + o**3\/6 + o**2. Let a(z) = -z**2 - 5*z + 6. Let g = -12 + 6. Let u be a(g). What is c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = -162. Let u = 56 - 47. What is the highest common factor of m and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 31, 6, -4, -3, 3 in descending order.\nAnswer: 31, 13, 6, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1065 - 5?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-216) - 12\/(-648)*-698?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1779.3 + 1778.8. Sort -8, u, -1, 2\/5 in descending order.\nAnswer: 2\/5, u, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**4\/24 - i**3\/6 - i**2. Let o be s(7). Suppose z + 1 - o = 0. Solve -2*l - r + 8 = -3, -z*l = -3*r - 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0637 - -3.0637. What is the nearest to 0.2 in n, 2\/15, 2, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-98)*(30\/5)\/(-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 2, a: 2}. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 185*r + 467. Let m be x(-59). Sort m, 5, -360 in descending order.\nAnswer: 5, m, -360","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-2 + -1.\nAnswer: -8*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 356 divided by -68\nAnswer: -89\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(0 + 0 + sqrt(5)) + 4)**2.\nAnswer: 8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + 2\/(-3). Let v = 30 + -25. Solve -4*b = -v*l, 3*l + 0*b - 5*b - 13 = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -26.5. What is the nearest to 0 in -0.1, u, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.705458 litres?\nAnswer: 7705.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267144.\nAnswer: 2, 11, 25763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 1. Let g be (-20)\/9 - (-17 + 906\/54). Calculate i(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8967817 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856573 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -448b (base 14) to base 2\nAnswer: -10111001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 89314818*s\/11 + 89314820\/11.\nAnswer: -2*(s - 44657410)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7706 or 4?\nAnswer: -7706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4556100 rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 <= 1199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 9*l - 3. Suppose -13*t + 27 = -4*t. Suppose t*d - 6*d + 27 = 0. Determine c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4769 (base 14) to base 10\nAnswer: -12441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 20*i**2 - 25*i - 13. Let k be z(-19). Let m = 158 + k. List the prime factors of m.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-367*r - 118 + 118 + 98*r).\nAnswer: -807*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 123*m + 1. Calculate q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 4*n**3 - 3*n**2 - 3 + 19*n**3.\nAnswer: 23*n**3 - 5*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/((-40423824)\/(-84))*-28.\nAnswer: 2\/337","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3262 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -262.41+274\nAnswer: 11.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/11729485 and -91\/174.\nAnswer: 70376910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 11. Suppose 8*q - 71 = 3*q - 4*x, q + 9 = 5*x. Let g be f(q). Solve 2*b - 3*b + h - 1 = 0, -4*b + 5*h = g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = 5*p - 6, -3*a + 3*p - 6 = 0. Suppose 3*g + o - 947 = a, 13*g - 15*g + 5*o = -654. List the prime factors of g.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2 + sqrt(152))*1)\/((-3*sqrt(72))\/sqrt(9)) + ((sqrt(76)*-1 - sqrt(76))\/sqrt(4)*4 - -2*(-3 + sqrt(19) + (sqrt(76)\/sqrt(4))**2)).\nAnswer: -17*sqrt(19)\/3 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5610*y. Let c(o) = 183*o**2. Calculate q(c(f)).\nAnswer: -1026630*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -705, -5, 4, -1, 27 in increasing order.\nAnswer: -705, -5, -1, 2, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (124\/5)\/(3\/15) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -25*n - 19. Let p(i) = 9*i + 7. Let d(b) = 11*p(b) + 4*x(b). Calculate d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*(8\/6)\/((-20)\/(-36)). Let j(g) = i - 17 - 19 - 2*g**2. Let z(r) = 37*r. Determine z(j(h)).\nAnswer: -74*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 - 4117 + 4113 + 2*x**2 + 2*x**4 - 7*x**3 - 4*x**4 to the form t*x**3 + y*x + l*x**2 + c + n*x**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 20*l**2 - 5*l + 3. Let n be b(3). Suppose -396 - n = -4*g. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-340)\/30 - -12)*39\/(-2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5450 = -3*b - 4*y, 15*b - 5*y - 5405 = 12*b. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 304098.705978559 and -4?\nAnswer: 304102.705978559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*t - t, 2*t - 6 = -5*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -95614, -95611, -95608, -95605, -95602?\n\"Answer: 3*u - 95617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3752.86*-1.6\nAnswer: -6004.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 5 - 5)*(0*x**2 - 2*x**2 + 3*x**2)*(-2*x + x + 2*x)*(-812*x + 1244*x + 1163*x).\nAnswer: 3190*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 11*w**2 + 45*w\/4.\nAnswer: -w*(w - 1)*(w + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 214, 763, 1518, 2347, 3118?\n\"Answer: -22*k**3 + 235*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37891, -37604, -37317?\nAnswer: -37030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.216\nAnswer: 0.01728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*x + 536135 = m, -x - 1608394 = -3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from qqvvqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 35*v - 69. Let a be n(37). Solve 7*c - a = -33 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 7*h + 11. Let y be a(-8). Solve -36 = -4*f + 4*g, 5*g + y = -f - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*(j*j**(2\/65))\/j*j*j*j**(8\/3) assuming j is positive.\nAnswer: j**(1501\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*v - 1158 = 0, 4*v + 392 = 5*l - 6*l. Let d(h) = 4*h**3 + 6*h**2 + 2*h + 2. Let w be d(-6). Let o = l - w. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*y = -19 + 6, 4*q - 4*y = 44. Suppose 2*g - 3*r - 1 = -0*g, r + 7 = 2*g. Suppose -g*b - 65 = -q*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*q = 5*n - 3557*q - 10, 4*q - 14 + 4 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 + 3 = 5*t, -d = -2*t + 1. Let j(b) = -5*b - 7. Let f(a) = -26*a - 36. What is d*f(p) + 16*j(p)?\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrhi when four letters picked without replacement from nfirnhinnnnfnhr.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.75 - -0.25. Let i = t - 33. Let k = -110.2 + 110. What is the smallest value in i, 2, k, 1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -395, -806, -1219, -1634, -2051, -2470?\n\"Answer: -k**2 - 408*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3488218227513*m**2 - 5*m**3 + 3488218227513*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 472340 and 7910?\nAnswer: 3306380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a meter in centimeters?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150993 divided by 5.\nAnswer: 150993\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24d0ea (base 16) in base 6?\nAnswer: -123414134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450272 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k + 10. Let a(h) = h**2 - h - 16. Let c(j) = j**2 + j - 12. Let x(g) = -3*a(g) + 4*c(g). What is x(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 61*t**2 + 674*t + 746. Calculate r(46).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (-2 + sqrt(2299))*5)**2 - ((sqrt(2299) + 1 - sqrt(2299))*6 - (-2*sqrt(2299)*-6)**2)) + 0)*2.\nAnswer: -2200*sqrt(19) + 777250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05052 + -2.\nAnswer: -2.05052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 9. List the prime factors of ((-11)\/(-2))\/(i\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.2 and 0.03?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -84*t**5\/5 + t**4\/12 - 9*t**2\/2 + 30*t. Find the third derivative of k(y) wrt y.\nAnswer: -2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -m + 5, 0 = -m - 13*u + 15*u - 1. Let y(c) be the third derivative of -5*c**4\/24 + 3*c**3\/2 - c**2. Let n be y(m). Solve 17 = n*p - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842.6005 meters in nanometers?\nAnswer: 842600500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07117 plus -6814551?\nAnswer: -6814550.92883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-332)\/(-36) + (-6)\/27. Suppose 14*a = i*a + 20. Solve 3*l + 20 = a*g, -22 = 5*l + 2*g - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306529505.\nAnswer: 5, 149, 411449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25873.96, 2, -4 in decreasing order.\nAnswer: 2, 0, -4, -25873.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 7359883?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-14 + (3 - 9) + (-5 - -11))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -350, -1, 3, -2, 1, -80, 22 in decreasing order.\nAnswer: 22, 3, 1, -1, -2, -80, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 10, l: 8}. What is prob of sequence lu?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34607166 is divided by 1894.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1773, 2281, 1525, -495?\n\"Answer: -632*g**2 + 2404*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -84, 7, 4, -0.4?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -38.71 (b) 1 (c) -37 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 + (-510)\/4. Let j = -375 + 635. Let u = o + j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34300 - 1303353?\nAnswer: -1342053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/7)\/(176*(-4)\/(-616))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4479.813 + 4483. Round z to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/10 - 3*i**4 - 32*i**3 - 128*i**2 - 9*i + 9. Find g, given that c(g) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2039*w + 8647. What is f(-4)?\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2025)\/(-243))\/(((-650)\/(-120))\/13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6*s + t - 61, -t + 1 = 0. Let x be -1*2*s\/8. Let d(j) = -4*j + x*j + 4*j. Let g(v) = v. What is g(d(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**3 - 13*v + 21. Let y(z) = -4*z**3 - z**2 + 15*z - 21. Let f(j) = 3*h(j) + 2*y(j). List the prime factors of f(4).\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 16. Find m, given that y*m**2 - 7*m + 13*m**3 + m - 9*m**3 - 2*m**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1614, 3235, 4852, 6465, 8074?\nAnswer: 9679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/(-5))\/((2303\/(-49))\/(-1880)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*a + 2*a + 16 = 0, 5*o + 4*a + 32 = 0. What are the prime factors of (-45)\/(-6)*o\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -13. Let c be (13\/26)\/(10\/v). What is the biggest value in -1\/7, 2\/7, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12934 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 202*w**4 + 4*w + 71. Let v(l) = 404*l**4 + 7*l + 142. Let i = -362 + 355. Let f(r) = i*m(r) + 4*v(r). What is the first derivative of f(x) wrt x?\nAnswer: 808*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/9 and -7\/217359.\nAnswer: 217359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 5*i. Let p(f) = 4*f**2 + 24*f + 1. Calculate -2*p(n) - 11*u(n).\nAnswer: 3*n**2 + 7*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 20*m**2 - 36*m + 21. Let k be i(18). Suppose -5*n = -2*s - 39, 2*s = -0*n + 3*n - k. Is 145\/5*(n + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n + 1. Let w be g(0). Let s(u) = u**2 - 23*u**3 - u + 5 - 4 + 0 + 25*u**3. Let c be s(w). Solve 4*v + 3 = -5*y + 4, v - c = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 4, u: 10, t: 3}. Give prob of picking 1 p, 1 t, and 1 u.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1573 - 788 + 34995*y - 785 - 12945*y + 47469*y)*(2*y**2 - 3*y**2 + 0*y**2) in the form c*y**3 + q*y**2 + a + z*y and give c.\nAnswer: -69519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1665490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -89*l + 90*l - 2 + 2. Let k(d) be the second derivative of 5*d**4\/6 - 7*d**2\/2 - 5*d. Let a(z) be the first derivative of k(z). What is a(b(n))?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -416989 - -7013337993\/16819. Let r be ((-1950968)\/41283)\/((-22)\/3) - 0. Let f = h + r. What is the common denominator of 4\/5 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2113 (base 6) to base 8\nAnswer: -735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25770 and 4740.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37918 - -3147153?\nAnswer: 3109235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 2. Let q(o) = 4*o + 10. Let z be (-3)\/(-3) + -13 + -3 + -1. Calculate z*b(i) - 3*q(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -2 - (-5 - (3 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l**2 - 2*l**2 - l**2. Let m(i) be the second derivative of -i**3\/3 + 14*i. Determine r(m(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 4 = -3*i. Let w = 13 - i. Solve 32 = w*q + 4*v, 2*v = -q - 3 + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r + 3*f - 156, 5*f = 5*r - 180. Let d = 34 - r. Let a be (-2)\/7*(-2)\/4. Which is bigger: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let s = 9 - 9.3. Which is the closest to 0.1? (a) s (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865.978 >= -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4268 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b = 74*b - 203. Suppose y - 498 = b. List the prime factors of y.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t - 1. Let o = 0 + 4. Let c be o\/(-10)*(4 + 1). Let x be m(c). Calculate the greatest common divisor of x and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 5*b - 2. Let n(y) = -2*y**2 + 4*y - 1. Let h(u) = -2*n(u) + 3*z(u). What is the units digit of h(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - j + 2 + (1 - 5 + 2)*(-2*j + 1 - 1) + 5 - 5 - 3*j + (-j - 8*j + j)*(-3 - 2 + 3) to i + f*j and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -178*j + 94*j - 36 + 78*j - 54. Calculate t(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-7 + -1 - -5) + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*a + 54 = -0*f, 0 = 2*f + 4*a - 24. Suppose -f*v = -26*v + 16. Calculate the highest common divisor of v and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c - 1. Let l(t) = -98*t**3 + 14*t**2 - 4*t. Let p(g) = l(g) + 3*o(g). Is p(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23.16924 millennia?\nAnswer: 2316.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 14*u - 7. Let h = 0 + 3. Which is the second smallest value? (a) h (b) u (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.26 and 25.\nAnswer: 23.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/48*(85 + (-81 - 2))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1176 - 435 = 0. List the prime factors of i.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49307 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 12 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((0 - (-1 + -1)) + 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656 and 13567228.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 526734589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 358545.2 decades in centuries?\nAnswer: 35854.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.72 times -0.39\nAnswer: -0.2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 407 = 10*g - 477 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 3*j + 5. Let v be h(-16). What is v rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -274, -262, -256, -262, -286, -334, -412?\n\"Answer: -g**3 + 3*g**2 + 10*g - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfocroofccffoof. What is prob of picking 1 o, 1 f, and 1 r?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 12:15 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -157. Suppose -3*c - 534 = -3*p - 2*p, 2*c + 321 = 3*p. Let f = p + z. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14886?\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-3 - -9) + 51. Find the third derivative of 4906*t**2 - 12*t - 4904*t**2 - s*t**4 - 2*t**4 wrt t.\nAnswer: -1104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4 - 45860*h**3 - 9486176*h**2 + 19109924*h - 9577890 = 0.\nAnswer: -207, 1, 23135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/57 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 38*u**2 + 3*u + 105. Let h be f(-38). Let w(t) = t**2 + 5*t - 12. What is w(h)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (51\/9)\/((-1)\/(-12)). Suppose 4*w - 56 = y. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159.57 - -159.87. Let i be 1\/(-1)*(1 - 6). Suppose -5*n = -v - 2*v - 17, 0 = v + i*n + 39. Is v less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.481567 rounded to zero dps?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f - 2736 = 0. Suppose f + 320 = 4*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**6\/60 - d**3\/3 + d**2. Find the first derivative of x(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - k - 29 = 0, 3 = 3*g - k + 4*k. Suppose -3 - 15 = -o + 4*m, 0 = -5*m - g. Calculate the smallest common multiple of 18 and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndiio. Give prob of sequence iid.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/42*(-1568)\/48)\/(-1*(-20)\/24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*s + 9. Suppose 0 = s*j + 2*n + 6, -2*j - 2*j - 15 = 5*n. Suppose j = 2*p - 386 - 1254. Round p to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 3:08 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 27?\nAnswer: 31\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 164*q**2 - 164*q**2 + 14 + (-2*q + q + 4*q)*(4*q**2 + q**2 - 4*q**2) + q**3 - 3*q**3 + 4*q**3 to g*q + r + f*q**3 + l*q**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89215172 divided by 4.\nAnswer: 22303793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2052.8991 - 2052.879099738. Let i = -0.02 + h. What is i rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(1\/3). Let j be (-68)\/(-3)*(s + 5). Let d = j - 32. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 71 + 123 + 21 + 718*t.\nAnswer: 718*t + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251*l**3 - 67677*l**2 - 321207745*l wrt l?\nAnswer: -1506*l - 135354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 78, -2, 0, 11, 4, -1 in increasing order.\nAnswer: -2, -1, 0, 4, 5, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-9))\/(714\/306). Find i, given that 0 - s*i**4 + 0*i**2 + 0*i + 1\/7*i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341 - 299. Let m be 0\/(3\/(-15) - h\/15). Solve 16 = 5*n - 9, 4*w - 5*n + 45 = m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -1.5, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.03 + -7.13. What is the closest to 9 in 0.5, b, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/120 - c**5\/30 - c**4 + 11*c**3\/3 - 19*c**2. Is i(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (0 + 0) - (19 + (49 - 24) - 39).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6497\/1335 - 6\/5. Let s(d) be the first derivative of -11*d - 11\/2*d**2 + n*d**3 + 2. Let j(y) = 4*y**2 - 4*y - 4. Determine 8*j(r) - 3*s(r).\nAnswer: -r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 11*h**2 + 9. Let i be t(-11). Suppose 0 = -0*g + 3*g + i. Which is the nearest to -3? (a) g (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 10 = -25. Calculate the remainder when 12 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58688674.\nAnswer: 2, 11, 2667667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -2103\nAnswer: 31\/2103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**3\/3 + 5*j**2 - j + 31. What is x(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - 0.43. Let s(v) = -89*v - 540. Let b be s(-6). Sort r, 4, b.\nAnswer: b, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 20 + 6*o - 50 - 39. Calculate the least common multiple of y(24) and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.7, -1, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 429 = -2*z. Let o = z + 4429. Suppose 0 = -0*v + 5*v - o. What is v rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 2*f**2 - 2*f**2 - 2 + 14*f + 0*f**2 + 1 + 7*f**2 in the form n*f**2 + z*f + u + s*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(14\/(-168)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.2? (a) 9 (b) 2\/3 (c) -116\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(48)*2 + -2)*-3)**2.\nAnswer: -432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 28*t**2 + 7*t**2 + 17*t**2 - 2*t**2. Let c be q(4). What is c rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407701662 by -135900554.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*w + 216*w - 80*w - 1)*(4 - 2 - 3)*(-2*w**2 + 0*w**2 + 0*w**2).\nAnswer: 28*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 101*a**2 - 272*a - 2. Give n(4).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.104? (a) -26 (b) 0.1 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -837896 (base 10) to base 14\nAnswer: -17b4da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.080951cm?\nAnswer: 0.00006080951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 290 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721200 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = -8. Suppose 0 = 4*q - t + 21, q + 3*t + 3 = t. Let b(x) = -3*x. Let a(u) be the first derivative of -u**2 + 2. Calculate n*a(r) + q*b(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995966 is divided by 10595?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeejeeeejjeeeeeeeej. What is prob of picking 3 e?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*l + 6*l + 2*l + l**2 + (-2*l + l + 0*l)*(-5*l + 0*l + l).\nAnswer: 5*l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 2 - -14 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2\/3, -12, -0.3.\nAnswer: -12, -0.3, 2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12) - (sqrt(12) - sqrt(48)*2)) - (((sqrt(84)\/sqrt(6))\/sqrt(7) - sqrt(2)) + -1).\nAnswer: sqrt(2)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -46 - 34. What is the least common multiple of w and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5912761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814 - 805 = 2*g - b, -2*g + 12 = -4*b. Suppose 2*k - 3*u + u = 8, 3*k - 8 = 2*u. Suppose -16 = -k*a + 2*a. Sort g, -1, a in decreasing order.\nAnswer: g, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33214, 33170, 33126, 33082, 33038?\nAnswer: 32994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 124211*a - 124070*a + 248281*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b = -46*b + 1335. Let v = 488 - b. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**2\/2 - 1. Let l(s) be the second derivative of -s**3\/3 + 14*s. Give z(l(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Solve -a - 18 = 5*m, 4*m + 3*a + c = -9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 64*x + 76*x**2 - 5 - 57*x**2 + 70*x to f*x**2 + u*x + b and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5583 and -52\/9?\nAnswer: 16749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*d - 58*d - 143*d**2 + 28*d - 474 wrt d?\nAnswer: -286*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 82586081 - 539746081 = 0. What is s rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -7*o**4\/4 - o**3\/3 + 20*o - 72. Find the first derivative of t(z) wrt z.\nAnswer: -21*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (387 - 36\/6) + -4 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10. Let h(c) = -7411*c - 148220. Determine h(l) - 14822*w(l).\nAnswer: -7411*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4950 and 96861600?\nAnswer: 96861600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346995?\nAnswer: 5, 13, 17, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 60\/1 - 79128\/2198?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f + 4. Let c be (-3)\/((-9)\/6) - 2. Let i be r(c). Suppose -20*l + i = -16*l. Calculate the least common multiple of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 2030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 19*i + 3. Let f be o(-10). Let d = -172 - f. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67049?\nAnswer: 67049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p + 331. Is v(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1, 0.5, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13446476 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: Suppose -7*r - 24 = -11*r. Let a be (-2)\/r*(21 - 8)*3. Let m = 10 - a. What is the remainder when 90 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Is (-4)\/b*(-63)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {v: 1, r: 2, i: 1, y: 1, d: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.02 times -3894869?\nAnswer: 3972766.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 23*g + 11. Let h(a) = -a**2 - a. Let b(p) = -2*h(p) - o(p). Is b(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - 3 - 2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65523320 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2791*i - i**2 - 6711*i + 2*i**2 + 8.\nAnswer: i**2 - 9502*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/14 + -2 - 1. Suppose -2*i + 1 = -3*v, -4*v = -3*i - 0*v. Let c be 1\/i*2*-2. Which is greater: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.3 - 50.3. Which is the second smallest value? (a) 2 (b) -69 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/((2\/(-12))\/((-181)\/(-543)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1101*a + 183*a + 114 - 436 + 350*a with respect to a.\nAnswer: 1634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:25 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*1\/((-16)\/(-44)). Let w be 12\/(-10)*880\/l. Is w < -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274579 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 39*a**2 - 15*a - 54. Let o be q(-6). Let m = o - 1440. Suppose 3\/4*x - 1\/4*x**3 - 1\/2*x**2 + m = 0. What is x?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 - 1076. Let u = c + 976.00000623. Round u to seven decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -h - 4*f - 6, 39 = -2*h - 3*f. Is (-1)\/((h\/(-1420))\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 49*a**5 - 16103087*a**4 + 1322994546136*a**3 + 2079020678200*a**2 + 864011649424*a + 108001620496 = 0?\nAnswer: -1, -2\/7, 164318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17049000 rounded to the nearest one hundred thousand?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 515.5 to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 27. Let k(y) = y**3 - 4*y**2. Let g be k(4). Suppose g = -5*h - 3*w + 6, -3*h = -2*h + 2*w + 3. Solve -h*z - p = -0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**4\/3 - 11*g**2. Let y(l) = -l. Calculate y(n(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*sqrt(704) + (sqrt(22)*-3)\/sqrt(2)*6.\nAnswer: -114*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -17, -35, -59?\n\"Answer: -3*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 896\/29 less than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 6, g: 3, y: 2, q: 6}. Give prob of sequence qgq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 13002.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12)\/18)\/(4\/(-714)) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 9*i + 15. Give p(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63587717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59, 121, 225, 371, 559, 789?\n\"Answer: 21*o**2 - o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-1 + (-471568)\/63720. Let x = 1\/1593 + h. Is -7 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4 + 119. Let i = u - 22. Suppose 6*l - 12 = 48. What is the remainder when i is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**(-15\/8))))\/p)**(-2\/41) assuming p is positive.\nAnswer: p**(-15\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (995 - 1074).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/24 - 2*a**3\/3 + a**2. Let x = -12 + 19. What are the prime factors of w(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48\/(-600) - (2 + 212354\/(-50)) is divided by 236.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (12 - 32) - (-374)\/11\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/17, 2\/3, 1 in ascending order.\nAnswer: -2\/3, -2\/17, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/103481 and -1\/428707.\nAnswer: 3000949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6438 = -4*g + 4*r - 518, 5*r - 2946 = -2*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*h = -8, 0 = -5*h + 2 - 7. Put s, -2, 5 in descending order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4680)\/27)\/(-13))\/(5*(-9)\/135)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236676, 236669, 236664, 236661, 236660, 236661, 236664?\nAnswer: 236669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 201120752 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269*w = -546*w - 90750 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2169724 and 1539.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/5)*n)\/n)\/(n**(-12)*n*n)*(n\/(n*n\/(n**4\/n)))\/n**14 assuming n is positive.\nAnswer: n**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 494, 507, 534, 581, 654?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/3 (b) -4\/5 (c) -0.51 (d) -2\/225 (e) 0.15 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) -1.77 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1053 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333 plus -4?\nAnswer: 2329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = 2650 - 2916 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h + 285. What is m(17)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/60 + 3*j**4\/4 + 11*j**3\/3 + 57*j**2. Let y be f(19). What is the greatest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/578 and 115\/14?\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by 96.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3045243342 - 1?\nAnswer: -3045243343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 + 309. What is the smallest common multiple of 53 - (-8 + 4) - x and 110?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(136) - sqrt(136)*-2)*6)\/(sqrt(72) - -2*sqrt(72)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2722 + -1772. What are the prime factors of q?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*l**2 + 3*c**2*l*o + 4*c**2*l + c*l**2 - c*o + 9*l**2*o - 2*l wrt c?\nAnswer: -12*l**2 + 6*l*o + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-15 - (8 + -17)))\/(42\/3213).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 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: Two letters picked without replacement from {j: 7, r: 2, y: 4, o: 1}. Give prob of sequence rr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*z**3 - 3*z**3 - 140 + 171 - z**2 wrt z?\nAnswer: -30*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 58*z - 117. What is m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 25 = s, 0*c + s = 4*c - 23. Let a be 1*3 + (2 - c - -9). Calculate the highest common divisor of a and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j - 52*j - 48 = 0. What is the lowest common multiple of j and 106?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42702913752247 and 0.5?\nAnswer: 42702913752247.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c - 9. What is the tens digit of v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 49. Solve 3*s - c = -17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:52 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3\/7 - 982*t**2\/7 + 60024*t\/7 + 30258\/7 = 0.\nAnswer: -1\/2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2914, 292, 4.\nAnswer: -3, 4, 292, 2914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0a6 (base 12) to base 13.\nAnswer: -892b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + -3 + 5 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93\/8 + -139\/12. Let g(f) be the third derivative of 1\/6*f**3 + f**2 + 0 - d*f**4 + 0*f. Determine g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(20)\/sqrt(4) + 3 - (sqrt(60) - sqrt(60)*-5)\/sqrt(12).\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 19*z**2 + 23*z + 72. Calculate o(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -105*j + 3. Let k be t(0). Sort -5, -226, k, 2.\nAnswer: -226, -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.05 - -0.95. What is the second biggest value in -2, z, 4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 21*x - 83. Let s be i(16). Let k(y) = -y - 3. Let o(h) = -2*h - 7. Let c(u) = s*o(u) + 7*k(u). Let l(r) = -802*r**2. Calculate c(l(q)).\nAnswer: 802*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 340, 1635, 4362, 8989, 15984?\n\"Answer: 78*n**3 + 248*n**2 + 5*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/2 (b) -58 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 9*s + 125 - 66)*(-s - 2*s + 0*s).\nAnswer: -27*s**2 - 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + p + 122 = 26, 2*h = p + 36. Solve -h = -69*r + 65*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 17*j**2 + 17*j - 10. Let q be i(16). Let u(m) = m**3 - 4*m**2 - 7*m - 8. What is the remainder when u(q) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9928 = -1194*u + 7287 + 360 - 859 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 - 2*k + 1. Let c(w) = -w**3 - 5*w**2 + w - 25. Let s be c(-6). Suppose 0 = 5*d + 2*v - 22, -s*v = 3*d - 0*d + 2. Determine z(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 < 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -5. Let l be (1*1\/(-1))\/c. What are the prime factors of -6 + 5 - (l - 14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4851 + -4840. Which is the biggest value? (a) g (b) 4 (c) 3\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2414412 by 30.\nAnswer: 402402\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 4 - 4)*(-1200 - 1203 + 2381).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7034 - 7033. Which is bigger: -6\/3103 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let o(b) be the second derivative of -2*b**3\/3 - 3*b**2\/2 - b. Let n(m) = -118*m + 346. Let l be n(3). Determine l*h(y) + 3*o(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 41800.42549 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18808810*j**2*x - 25*j**2 - 438564 wrt x?\nAnswer: -18808810*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 839 - 359 = 4*f + 28*f. Let w(b) = -20*b + 2. Calculate the remainder when w(-2) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 340 + 4\/(-2). Let g = -197 + r. Calculate the highest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 - 139 - (5 - (15 + 3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 324*x**2 + 87*x + 8. Let w(v) = 648*v**2 + 175*v + 18. Let u(l) = -9*r(l) + 4*w(l). Find the second derivative of u(y) wrt y.\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 9850, 4 in increasing order.\nAnswer: -2, 1, 4, 9850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 550000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = -3*s - 1612. Sort -2, -5, s, 2 in decreasing order.\nAnswer: 2, -2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118844989.\nAnswer: 109, 199, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, 118, 449, 904, 1477?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13*q + 16. Let h be y(4). Let w be (4 + -5)\/(2\/(-6)). Suppose -d = -8 + w, 2*d = -2*k + h. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) 86365 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-5 - -10) + -45 + 13)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3716370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1548*i**3 + 22*i**4 - 268*i + 648*i**2 - 15 - 1588*i**2 - 346*i**4 - 1 = 0.\nAnswer: -1\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.551504 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/344 and 4\/(-18) + ((-11011)\/(-528))\/(-77).\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140 - -30?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1765.037 millennia to months.\nAnswer: 21180444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163 or -647?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**2\/2 - 6*d + 4. Let l be p(-3). Let j be (l\/9)\/((-2)\/(-6)). Which is the closest to 0.1? (a) j (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 80. Suppose -11 = u + 5*j, 8 + 3 = -u + 3*j. Let p = l + u. Calculate the least common multiple of p and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 3*l**2 - 3*l + 1. Let z be b(-4). Let v be (-7)\/21 + 107\/z. Let o = -25 - v. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from vvvvuvuvvvvv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 594\/(-45)*((3 - 74) + -4). Suppose -16*l + n = -10*l. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/2*2\/3. Let z(o) = o**3 - 9*o**2 + o + 5. What is the units digit of z(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 92*a + 2. Let f(b) = -3*b - 65. Let p(w) = -2*w - 39. Let j(i) = -3*f(i) + 5*p(i). Determine j(v(t)).\nAnswer: -92*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-57)\/532)\/(5\/10))\/((-12)\/14)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 2068.904457635\nAnswer: -2073.904457635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 + 7*w**3 - 2*w - 6*w**3 + 2*w**2 in the form l*w**3 + a*w**2 + g + v*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (2 - 4\/4). Let w(o) = -s + o + 0 + 4. Let a(m) = 15*m. Determine w(a(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*k + 4 - 12 + 8 to x*k + a and give x.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 44*p**2 + 162*p + 57. Let y be h(-6). Solve -645 = 6*d - y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1092.35973 - -0.08273. Let n = -1087.37681 - l. Let i = n + -4.9. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -562 + 4176758832.\nAnswer: 4176758270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 143*m**4\/4 - 327*m**2\/2 + 764*m. What is the derivative of j(d) wrt d?\nAnswer: 858*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 8055824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 2423\/127 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -9 + 19 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365536, -731071, -1096606?\nAnswer: -1462141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 27 = y + 5*u, -u = 3*y - 105. Suppose -48 = -q - y. Calculate the smallest common multiple of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i. Let x be 8 - (-1 + -1)*-1. Let w(f) be the first derivative of -8*f**3\/3 - 4*f**2 + 1. Calculate x*s(r) + w(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.86 - 17. Let s = i - -0.14. Let n = s + 0.3. Which is the smallest value? (a) -3 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 2995*q + 46903.\nAnswer: -(q - 1513)*(2*q + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 53. Put -3, -5, i in decreasing order.\nAnswer: -3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - -46 - ((-36 - (-6 + 7)) + -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*k**6 + 301*d*k**4 + 3*d*k**3 - 59*d*k**2 - d*k - 2*k**2 wrt k.\nAnswer: -240*d*k**3 + 7224*d*k + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -78b2?\nAnswer: -78a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/144 and 11\/336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.126 + -0.665. Round k to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2 + 20*h + 64. Let a be d(0). Calculate the highest common factor of 88 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atl when three letters picked without replacement from lhtgbba?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -237\/7, -1, -2\/11, 4\/3, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679 = 11520*d - 11533*d + 556. Calculate the greatest common divisor of 456 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 6*o + 7. Let c be d(-7). Differentiate -c*b**3 - 71 - 77 + b**2 - b**2 + 9 wrt b.\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 4*o**2 + 28*o**3 - 23*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + -14.93. Let v = 11 + j. Let s = 3.2 + -3.4. Which is the closest to -1? (a) 0.1 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 1147*n**7\/42 + 2*n**6\/15 + n**5\/10 - n**4\/6 + 328*n**3 - 3381*n. Find the third derivative of x(k) wrt k.\nAnswer: 68820*k**2 + 96*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 1. Let n(s) be the third derivative of -17*s**2 + 7\/6*s**3 + 1\/10*s**5 + 0 - 1\/24*s**4 + 0*s. What is -2*n(o) - 14*v(o)?\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1231500837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 2*x + 690. Let g be w(0). Round g to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 < -85091\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197342 or -9275118\/47?\nAnswer: -9275118\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**4 - 21132513*n**3 - 65856128.\nAnswer: -16*n**3 - 63397539*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = -w, 2*v = -v + w + 13. What is the third smallest value in v, 0, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 11) in base 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275717, -551436, -827155, -1102874, -1378593, -1654312?\nAnswer: -1930031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 15 + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5257 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = -5*a + 19, 5*a + 192*v = 194*v - 53 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x**3 + 120*x**3 + 10*x**3.\nAnswer: 181*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 6. Let f be x(-3). Solve 2*v = -2*b - 2, -2 = -3*v + f*b - b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10859*b + 3055*b - 918887 = -286763 for b.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*z + z + 2*v, -2*z + 46 = v. Suppose 3*l - 99 = 5*w, 2*w - 132 = -4*l - 2*w. What is the greatest common factor of z and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.6 and -35.83.\nAnswer: 666.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-654))\/(26\/(-4)). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.3, -128291, -2\/3, -1\/7 in increasing order.\nAnswer: -128291, -13, -2\/3, -1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8 - 6 + 2*p + 7 - 6. Let i(s) = -5*s - 8. Determine 4*i(l) + 11*w(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -193*k**5\/10 + 194*k**4\/3 - 30*k + 2. What is the third derivative of o(l) wrt l?\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - 56 = 0. What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 17, k: 1}. Give prob of sequence kpp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*s**3 - 39 + 225*s**3 + 18 + 21.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60647 + 163546 = 236*o - 2204*o - 425*o for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - (42 + -44)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152817 divided by 3?\nAnswer: 50939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4)*q)\/(q\/q**(-3))*(q*q\/q**1*q)**21*(q**(-1))**50*(((q\/q**(-2\/3))\/q*q)\/q)**(-41) assuming q is positive.\nAnswer: q**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**3 + 2*d**2 + 6*d + 11. Let m be z(-5). Suppose 5*r - m = 1934. Suppose 3*f - 5*w = -r, -f - 4*w = -4*f - 488. Round f to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -48*r + 453. Let g be x(-17). What is the greatest common factor of 705 and g?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*6\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 7072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {t: 1, a: 1, d: 2, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 875 - 3283. Let v = u - -3484. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 12*h - 60 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4472, -4473, -4474, -4475, -4476?\n\"Answer: -n - 4471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -364840\/51 less than or equal to -7153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1720\/160)\/((27\/144*-2)\/(3\/2)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 17. Suppose r - 3*t + 12 = 0, -3*r + w*r + 2*t = 22. Calculate the least common multiple of r and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 31\/6. Let p(d) be the second derivative of -2*d - d**2 + 0 - k*d**4 + 0*d**3. Find the first derivative of p(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4039, 8029, 12019?\n\"Answer: 3990*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52624 and 130548.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/12 + p**3\/6 - p**2\/2 + p + 646. Let o(c) = 5*c**2 + 4*c - 4. Suppose 0 = 2*h - 6. What is h*o(g) - 12*w(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 4 + 2 - 2.\nAnswer: 3*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 496686 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: Calculate the least common multiple of 1016 and 96.\nAnswer: 12192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.218*-0.3.\nAnswer: 0.0654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 5 = 0. Let s = p - 1. Suppose 0 = -o - 4*a + 8, 0 = -o + a + 1 + 2. Calculate the least common multiple of o and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z + 48*z - k + 15 = 0, -2*z + 2*k + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 8. Suppose -14 = -w*j + j. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:04 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5939 and 49?\nAnswer: 5988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8397*p**4 + 2*p**3 + 7934*p**4 + 9595*p**4 - 2*p**3 + 4111*p**4 + (-3*p**2 + 0*p**2 + 2*p**2)*(-p**2 - 4*p**2 + 4*p**2).\nAnswer: 30038*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4376, 34937, 117914, 279515, 545948, 943421, 1498142?\n\"Answer: 4368*v**3 - 15*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {l: 5, g: 1, t: 4, q: 1, c: 5}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. What is the remainder when (-209)\/(-3) + 1\/3 is divided by a(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c**(-4))\/c))\/c)\/((c**(-2\/25)\/c*c)\/c)*(c*c*c*(c\/(c\/c**(-3\/4))*c)\/c)\/(c\/(c\/(c\/(c\/c**(1\/14)))*c)) assuming c is positive.\nAnswer: c**(5781\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - -6*4\/(-6). Suppose -4*g + 5*y - 300 = c, g + 156 = -g + y. Let n be g\/(-30)*3\/(-2). Is -1 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b**3 + 6*b**3 - 30 + 7 - 9*b**2 - 12*b - 18*b**3. What is the tens digit of c(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 83, 100, 143, 224, 355, 548?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2136 minus 3?\nAnswer: -3.2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -4. Let h be (-7)\/(0 + 28\/(-8)). Put j, -2, -5, h in ascending order.\nAnswer: -5, j, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19035578 and -3?\nAnswer: 57106734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(48\/(-18))*4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1141 - 33*k + 697*k - 1141.\nAnswer: 664*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -37. Suppose 5*z = u, 3*b + 7 - 1 = -2*z. Suppose 0*n = -5*n + 5*t + 10, 6 = -n - 3*t. Is n smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + 5 + sqrt(605) + (sqrt(25) - sqrt(75)\/sqrt(3)*-2)\/sqrt(5))**2.\nAnswer: 140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:09 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13768*u**4 - 240 - 3*u**3 + 6*u**3 - 608*u + 5*u**3 - 372*u**2 + 13780*u**4 = 0. What is u?\nAnswer: -5, -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(5824\/3570))\/((-48)\/(-64)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (5 + -1 - 1). Let l = j - -7. Suppose u + 5*t - 5 = 4*u, 3*t + l = 3*u. Solve 0 = u*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25732201*-0.01.\nAnswer: -0.0025732201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 9*t + 5. Let d be z(-9). Suppose -2*q = -5*g - 5464, -4*q + 10872 = -g + d*g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80 - -9466b?\nAnswer: 945bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000673301963 to seven dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781718201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 27 + 1. Suppose -14 = 3*k + 4*b, b = -4*k + 2*b - 44. Let y = g - k. Solve -l + i = -y*i, 5*i = -5*l + 25 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 94131628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 62*m + 229. Calculate a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:40 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1654*g**4*p + 361525*g**2*l**2*p - 289*g*l**2*p - 2*g*l**2 - 61*g*p - 46*g + 11*l**2 + 1 wrt g.\nAnswer: 19848*g**2*p + 723050*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60158404 is divided by 30079161.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 2403?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 20. Suppose 4 = -2*t + w, 2*t - 3*w - 2 - h = 0. What is the biggest value in -0.6, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**8\/2800 - k**6\/600 - 5*k**3 - k**2\/2 - 33. Let v(b) be the third derivative of j(b). Determine d so that v(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 4*g - 1. Let o be k(3). Suppose 310 = 7*q + 44. Let n be q\/2 - (6\/(-1) - -5). Calculate the highest common factor of n and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 + 10*g**2 - 13*g - 2. Let n(o) = o**3 - 2*o**2 + 2*o + 1. Let c(m) = 5*n(m) + u(m). Let b(y) = 4*y - 4. Calculate -3*b(w) - 4*c(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 5.5, 0.5, 2\/71, -0.3?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + 2*o + 2. What is v(4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 2, m: 2, u: 9}. Give prob of sequence gm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 91920 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n - 7*n**2 - 26 + 20 + n + 0*n - n**3. Let v be b(-9). Let a be 2 - -2 - (-3 - -3). Solve v + 9 = -3*j - 3*f, -a*f - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 19. What is the tens digit of 4\/1*((-49)\/p + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4200 divided by 60\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 44096, 88191, 132288, 176387?\n\"Answer: m**2 + 44092*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 7*r**3\/6 - 2*r**2 - 104*r. Let h(w) = 6*w - 4. Let m(u) = -2*u + 2. Let x(z) = h(z) + 2*m(z). Give n(x(c)).\nAnswer: 14*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 70 = -3*a. Let q = 3 + 0. Suppose q*l + l = 36. Calculate the remainder when a is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 23093 = -g - 3998, -19085 = -g + 3*p. Round g to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/34)*m**3)\/((m\/m**(2\/5))\/m**(-8\/9)) assuming m is positive.\nAnswer: m**(2267\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(((-13135)\/148)\/71)*-17?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*u = 6, -3*k - 5*u + 16 - 1 = 0. Suppose 553*f + 165*f + 174*f - 4460 = 0. Let s(q) = q - 10. Let l be s(6). Put f, k, l in decreasing order.\nAnswer: f, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6874*w**2 - 4*w. Let v be k(4). Round v to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2349 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200\/3 + 66. Let g = 3 + -2. Which is the closest to 0.2? (a) 2 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027 - -1.37.\nAnswer: 1.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 3*t**2 + 56*t**3 + 22*t**3 + 3*t**3 - 30.\nAnswer: 81*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + z - 1. Let g be a(1). Let v(j) be the second derivative of j**3\/6 + j**2 + j. Let q be v(g). Sort q, -2, -3 in descending order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - 5*h)*(198*h**2 - h - 440*h**2 + 216*h**2).\nAnswer: 52*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -33 - (78 + -83)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*h + 13330 = -835*h - 18346 - 22935 for h.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6509615 from 0.588.\nAnswer: 6509615.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/2)\/y**(-3\/5)*y**(-2\/19)*y\/(y\/((y*y**(-5)\/y)\/y)) assuming y is positive.\nAnswer: y**(-1141\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 26, -0.134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-6510)*30\/6.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 10*d**2 - d - 9. Let v be q(-10). Solve v = x, 5*x - 4*x + 14 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16717 and 0.35.\nAnswer: 0.0585095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 35*w - 32. Let u be k(20). Let b be 121\/u - (7\/(-6) + 1). What is the second smallest value in 0, 1\/3, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877251 is divided by 438454.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:31 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**3 + 22*u + 3. Let b(h) = 36*h**3 + 88*h + 11. Let d = -126 + 132. Let a(f) = d*b(f) - 22*w(f). Find the second derivative of a(v) wrt v.\nAnswer: 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f)**15*f*f*f\/(f*f*f\/f**(2\/63))*f*f**(-1\/6)*f assuming f is positive.\nAnswer: f**(9685\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v - 3 + 3)*(-3 + v**2 + 3)*(-5 - 1 + 2)*(3 - 2 + 0) in the form y*v**3 + l*v**2 + t + p*v and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 24. Suppose 4*q = -p + 3*p - 2, 5*p - 12 = f*q. Solve -p*w = -1 - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7 = y - 3, 0 = -2*n - 5*y + 27. Let p = -11 + 16. Suppose 4*h = -h - p. Are h and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/401837 or -1?\nAnswer: -10\/401837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1194 and 2594164.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14567 times 0.017?\nAnswer: -247.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719 = 4*i - 1301. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)\/(1\/(-31)). Suppose q = -j + 8, -q - 3*q = 5*j - w. Calculate the least common multiple of 3 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(3)*4*4).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*o - 2, -d + 3*d = -2*o + 14. Suppose 3*j - d*j = -4. Factor 3*h - 11*h**5 + 0*h**2 + 33*h**j - 19*h**3 + 3*h**2 - 8*h**3 - h**5.\nAnswer: -3*h*(h - 1)**3*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1920 = 114*c + 54*c - 8*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 3, c: 3, k: 3}. What is prob of sequence crr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-94)\/(-235))\/(-2 + (-88)\/(-258) + 2) and 19\/440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + r + 9 = 2, 0 = -2*r + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:01 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g + 264 = -8*g - 629 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296\/3 + -114. Find the common denominator of 2\/(-8) + (-3)\/8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 3) to base 12\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 38*n**2 - 17*n + 681. Let t be w(38). Solve 12*r + t = 107 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*b = 102, -5*d - 22*b = -18*b - 167. Which is greater: d or 94\/3?\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29785.31km to nanometers.\nAnswer: 29785310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -439.35129 - -437.65129065. Let s = u + 1.7. What is s rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 2:35 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -66550855 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - 2.2. Let n = g - -9.0000096. What is n rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.92 + 0.08. Let k = o + -6.8. What is the second biggest value in k, 4, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 21 = 4*i, -3*b + 29 = -7*i + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43079348, -43079346, -43079344, -43079342, -43079340, -43079338?\n\"Answer: 2*a - 43079350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(sqrt(95) + sqrt(95) + -3*sqrt(95)))\/(sqrt(20) - sqrt(2000)).\nAnswer: 2*sqrt(19)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 1447488696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 716*a + 1442*a + 64 - 726*a - 64.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 (base 13) in base 9?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 32\/5 of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -9) + -7 + 38 + -12 + -19\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r. Suppose r*k - 5*k = -15. Let s = 0 - 0. Which is greater: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, 5275, -1 in decreasing order.\nAnswer: 5275, 5, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2128 and 12464.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3834406428?\nAnswer: 2, 3, 41, 7793509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72681273, -72681274, -72681275, -72681276, -72681277, -72681278?\nAnswer: -72681279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -243, -1570, -5153, -12114, -23575, -40658, -64485, -96178?\n\"Answer: -187*u**3 - 6*u**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -4*x + 3*p, 0 = 2*x + 4*p - 18. Suppose 0 = 4*z + 5*f - 51, 58 - 22 = x*z - 3*f. Suppose 3*b - b - 8 = 0. Solve -d = -b*d + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 47 - (-33 + 59)) + 35.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -10, 20 = 4*y + 5*x - x. Suppose -4*i - 2808 = -17*i. Suppose -5*d + h = -i, y = 2*d + 5*h - 108. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000001111 - 11?\nAnswer: 1111000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102001 (base 4) to base 2.\nAnswer: -10010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/3 + 2 - 873\/(-27). Find the common denominator of 43\/18 and 55\/44*2\/a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 41. Let u = o + -2. Solve -u*c = 6 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*h - 21677 = -18388 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19881920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.4, 5, 15, 88.18, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/18 and 1*((-567)\/12)\/7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (2 + 79 + -3). Let i be o*(-5 + 2 - -2). Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -21*a**2 - 569*a + 8285. Determine h(10).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - h = -14, 0*h + 14 = -3*j + 2*h. Let g be -10*(j\/5 - 0). Solve -5*s + 2 = -g*t - 2, 0 = 5*t + 2*s + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*l + 20 = -525*l + 44*s - 46*s, -2*l = 5*s + 26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 - k**4 + 0*k**4 + (-6*k**3 + k**3 + 3*k**3)*(-4 + 8*k + 4).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 419?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 13. Let w be c(10). Suppose 42 = 5*p + 2*p. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*q - 3*s - 36 = 1038*q + 3*s, -7*q - 7*s = -8*s + 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -628374.428 and 0.074?\nAnswer: 628374.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54182373 and 3.\nAnswer: -162547119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tet when three letters picked without replacement from etteee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -93\/5. Which is the nearest to 1? (a) n (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 4, c: 2, g: 2, n: 4, q: 2}. What is prob of sequence vfg?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4 + 2*b - 1\/3*b**6 - 6\/5*b**5 + 1 + 3*b**2 + 4\/3*b**3. Solve i(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -27, -21?\n\"Answer: 6*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((532\/2128)\/(511\/(-28)))\/((-2)\/(-4)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 4*v + 71, 136 = 4*h + 5*v. Find the first derivative of -w**3 + h + 36 - 83 wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55497888683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -2?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337417*y**5 - 854*y + 290?\nAnswer: -6748340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285987 is divided by 22864.\nAnswer: 11619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20330 + 4?\nAnswer: -20322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39546 and 11700?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -85. Solve -s = x*c - 20, 0*s - 3*s = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683*r - 691*r = -27648. Let v = -2080 + r. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 245*g - 590. Let m be f(4). Calculate the greatest common divisor of 45 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/2)*p)\/((p*p**(4\/9))\/p*p))\/(p\/((p*p**5)\/p)*p**0))**(7\/2) assuming p is positive.\nAnswer: p**(385\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 3935790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19349115.\nAnswer: 3, 5, 31, 41611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 13*s**2 + 22*s - 44. Let j be o(2). Let m(z) = 58 + 4*z**2 - 110 + j. Let v(a) = -9*a. Let l(q) = 4*q. Let b(k) = 5*l(k) + 3*v(k). Determine m(b(c)).\nAnswer: 196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q - 13. Suppose -6*a - 5*a = -132. Suppose 2*n - 2 = a. Suppose 25 = -4*v - 5*x, -4*x + 15 = 5*v - n*x. What is t(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g + 27*g - 3*g - 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1006173 or 1006184?\nAnswer: 1006184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1354\/133 + -72\/7. Which is the biggest value? (a) -11 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 4*a - 7. Let b be v(-6). Suppose b*u = 25 + 40. Suppose 0 = -p - 0*p + u. Calculate the remainder when 38 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(105)\/sqrt(5))\/(sqrt(12)*-6))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2890 + -355. Suppose -o = -3*c + 4*n, -c + 0*n - 2*n = -835. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 906*m**3 - 780*m + 4. Let b(w) = 1812*w**3 + w**2 - 1562*w + 9. Let n(h) = -2*b(h) + 5*j(h). What is the third derivative of n(a) wrt a?\nAnswer: 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/24 - (15\/12 + -1). Let w be 5\/7*6*3\/(-30). What is the second biggest value in w, o, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - (-144)\/27. Let b be (-3)\/s - 34500018\/(-30). Round b to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(2\/12). Suppose 4*l = 2*d + 12, 3*d + 15 = 4*l + 1. Let h = l - 0. Sort j, -1, h.\nAnswer: -1, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 2. Let u = -271 - -299. Suppose 0 = 2*h - g + 8 - u, -4*g - i = -3*h. What is the smallest common multiple of h and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5824b (base 13) to base 14.\nAnswer: -42846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117086466 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 11.9. Let f = w - 2. Let z = 9.704 + -9.504. What is the third biggest value in -1\/4, z, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 16102764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d - 3. Let f(y) = -55*y - 3739. Let w be f(-68). Let z(p) = -p + 1. Determine w*c(l) + 3*z(l).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 2. Let x be c(3). Which is smaller: x or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*z - 2*y, -2*y - 16 = 4*z + 34. Let k = 62 - 60. Let o be (z\/(-75) - (-1)\/5)*k. Which is the biggest value? (a) -3 (b) 0.11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-2 + 4) - 4. Let l be 2 - (d + -5) - -3. Let z = l - 9. Solve -m - z*k + k - 22 = 0, m + 7 = -k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -583713, -2334842, -5253389, -9339354, -14592737, -21013538?\n\"Answer: -583709*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -159*b**3*y - 111*b**2*y**2 + 29771*y**2 wrt b?\nAnswer: -477*b**2*y - 222*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -36) + -22 + -1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.027366 millilitres in litres?\nAnswer: 0.001027366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48 and 1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + 2. Suppose 3*i + 5*s = 0, 3*i - 2 = 2*i - s. Suppose -i*g + 7 - f = -d, -d + 2*g = -21. What is the remainder when 31 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 66*x**2 + 137*x - 662. Calculate m(5).\nAnswer: 1673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 27, -2, -331 in decreasing order.\nAnswer: 27, -1, -2, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*j = -5*j + 32 - 507 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-21) - (-52975518)\/1827.\nAnswer: 2, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7428502m?\nAnswer: 742.8502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 3)\/4)\/(-2) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/2853 + 4202504\/19971. Which is smaller: 0.3 or p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1888 = -5*y + 1923, 0 = -m + 5*y + 29786. List the prime factors of m.\nAnswer: 11, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 511 = -504 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q - 10. Is 18 a factor of s(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 - -198. Which is the nearest to 1\/2? (a) -3\/5 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -88 and -85 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.103*381630.\nAnswer: -39307.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12087958 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1986 and 2864474?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -384*p + 382*p + 44. Suppose p*q = 1067 - 341. What is the highest common factor of 121 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(95)\/(sqrt(25)\/sqrt(5)))**2 + sqrt(95)\/sqrt(45).\nAnswer: sqrt(19)\/3 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13*h**3 + h**2 - 3*h + 3. Let z be b(1). What is the third derivative of -8*s**2 - 1 + s**2 - 13*s**5 - z*s**5 + 6*s**5 wrt s?\nAnswer: -1260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6447545269?\nAnswer: 11, 1499, 391021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 31838.37 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.7 + -7. Let m = 3.56 + -0.56. Put m, o, -4, -1 in decreasing order.\nAnswer: m, o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*c**3 + 735*c**2 - 990*c + 280.\nAnswer: -5*(c - 28)*(c - 1)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -0.1, -3, -2\/17, 0.2187?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 3. Let n be w + (-1 - (-3 + 0)). Sort -3, n, 5 in descending order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*y - 0*k - 27, 2*y - 3*k = 17. Which is smaller: y or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g - 8. Let l be a(5). Suppose -3*y = -l - 200. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(1 + (-7227)\/6512) and 79\/24.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28953335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/98)\/(2\/4))\/((-955)\/(-1146)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 7*w = -26. Let n = w + -9. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 33*n + 7. Determine u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2959*y - 2963*y + 36 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -133006 less than or equal to -132970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -237 + 191. Let n = -46.2 - m. What is the nearest to 2\/3 in n, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 12*s - 9. Let a be (2 + (-36)\/10)\/(2\/10). What is the remainder when 67 is divided by d(a)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:23 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41\/2 of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-5) + 14\/35. Let l = -4 - c. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -4\/5, 0.3571, 0.13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.019*-0.15\nAnswer: -0.00285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-11 + 2 - -4). Let p be (1 + 1)\/(-1) - -2. Suppose g*r - 1294 = -p*a + a, -r - 2*a + 261 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h**3 - 2*h + 3. Give b(2).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 10. What is b(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, b: 7, a: 3}. Give prob of picking 1 b, 2 a, and 1 j.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 2*f**5 + 4*f + (12*f + 4*f + f)*(1 + 2*f**4 - 1).\nAnswer: 36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -70, 35, -119 in increasing order.\nAnswer: -119, -70, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from lczciicqc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 6)*((-1 - 1 + 3)*(2*w + 0*w + 0*w) + 4*w + w - 2*w) in the form t + z*w and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 1222?\nAnswer: 27\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26940?\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t - 6*t)*(-3 - 6 - 2).\nAnswer: 55*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 20193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-130)\/(-175) - 9\/15. Which is the third smallest value? (a) 3 (b) f (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 15) + (1 - -4) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-13 + 1 + 2 + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w**3 - 3*w**2 + 19*w - 4. Let h(z) = -5*z**3 - z**2 + 9*z - 2. Let g(x) = 9*h(x) - 4*q(x). Let b be g(3). Solve 4*u - b + 1 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 2, -6, -14, -22, -30?\n\"Answer: -8*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32029910?\nAnswer: 2, 5, 11, 103, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199072 - 66324 + 4*x**2 - 66372 - 66378.\nAnswer: 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366072 and 2?\nAnswer: 366072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -149\/60*f**5 + 0*f**4 + 6*f**2 + 137\/6*f**3 + 3 + 0*f. Differentiate v(d) with respect to d.\nAnswer: -298*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u**2 - u)*(-2*u**3 - 2*u**3 + 13*u**3) + (-4*u**3 + 5*u**3 + u**3)*(3 - 3 - 3*u**2) + (0*u + u**4 + 0*u)*(3*u - 5*u + 3*u)*(-1 + 1 - 1).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45.24 + -1237.74. Let g = 1191.10165 + x. Let y = g - -1.4. What is y rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 93791 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103.023 + 0.023. Let s = r - -105. Let t = 0.1 - 0.2. Which is the closest to t? (a) 3 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**3*d)\/d**(-1)*d**(-1\/2)\/d**(2\/15) assuming d is positive.\nAnswer: d**(161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 38 = 31*l - 32*l, 54 = 5*b + 2*l. Solve -b - 4 = -7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0, -1\/5, -6034?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7012872 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14493 is divided by 3029?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 30*x**2 + 2*x**3 - 4*x**3 + 38*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538946949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 179 = -5*u + 5*q, -5*u - 4*q = -193. Let a = u - 36. Calculate the remainder when 61 + (5\/a - 0) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 165*i - 195*i + 766500. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -16031, 4 in ascending order.\nAnswer: -16031, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 214600 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-8)*392\/(-42) - 520\/(-72). What is the smallest value in 1\/3, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32054 less than -20?\nAnswer: -32074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6 + p + 47 + 30. Let t(o) = o**2 - 18*o - 40. Let i be t(20). Calculate the remainder when q(i) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3 - 20600*f**2 - 1830485*f + 1851080 = 0.\nAnswer: -88, 1, 4207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1\/(-2) - -3. Suppose -2*c + m + 2 = 0. Let x(v) = 2*v + 4. Let l be x(-1). Solve -l*k - 15 = 4*d + d, -2*k = c*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69635 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 19*k**2 + 30*k - 212. Give o(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*f + 16, 20 - 3 = 3*l - f. Let z(x) = -x - 6. Let u(v) = -2*v + 2. Let j(y) = -y - 1. Let o(k) = -3*j(k) + u(k). What is l*o(p) + 5*z(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5961511, -4, -3 in ascending order.\nAnswer: -5961511, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 14 + -15 + (1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -35166 to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 782*u - 40640. Give p(52).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2 + -5 + -4)*-2.\nAnswer: -2*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 + 65)) + -130 + -64 + 174?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63189 = 2797*y - 2790*y. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) - (-9)\/(-2). Let v(q) = 9*q**2 + 12*q**2 + 5 + 0 - 14*q + 17*q - 17*q**2. What is the units digit of v(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p - 2. Let l(g) = 9*g + 3. What is -7*l(a) - 6*n(a)?\nAnswer: -3*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6711611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 5:28 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26767 is divided by 1784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*u**2*w + 1976*i**2*u + 7*i*u**2 + 291*w wrt i.\nAnswer: -6*u**2*w + 3952*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + f - 2 - 5 = 0, -f = -5*g - 11. Let d be ((-48)\/18)\/(g\/18). Suppose 0 = d*y - 20*y - 136. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**4 - 3*b - b**4 - 1 - b to the form x*b**3 + u*b + w + y*b**2 + i*b**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 7*f + 208 = 0. Let z = -749 - -751. Calculate the highest common factor of f and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*66775\/(-8250) - (-73)\/(-2190)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660*a**2 + 654*a**2 + 650*a**2 - 2627*a**2 + 645*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10456, -15374, -20292, -25210, -30128?\n\"Answer: -4918*o - 5538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -788. Suppose 0 = 3*l + 70 + x. Let w = -10 - l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -40*f + 16. Let j(n) = 8*n - 3. Suppose 0 = -4*o - 1 - 35. Let m be 18\/3*(-24)\/o. Let x(h) = m*j(h) + 3*k(h). Calculate x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 901799 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let u(d) be the second derivative of 211*d**3\/6 + 35*d + 13. Calculate u(t(o)).\nAnswer: 211*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + f + 1)*(2*f - 2 + 2)*(5 + 0 - 6).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173145 is divided by 230.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 4 = -u + 10*p, -2*u - p = -1. Let j(d) = d**2 + 6*d. Let y be j(-6). Solve -3*z + 9 = y, 2*i + 6 = -u*i + 2*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 14*m, v - 348 = 5*m + 48. Solve 2*t + 4 = 0, v*g = 395*g + t - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 5*v**2 + 4*v - 9. Give m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 25*r + 140. Give g(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11026743*q**3*t**3 - 8*q**3*t**2 + 7*q**3 + q**2*t**2 + 8*q*t**2 + 768 wrt t?\nAnswer: 66160458*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207035770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2282 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343405 - 343403. Let h = -1 + 1.4. Let j = -0.1 + h. What is the second biggest value in r, j, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.2 - -31. Let z = -9 + l. Put z, 4, 3 in ascending order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 0.021 (c) -2 (d) 17 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g + 103 - 52 - 31*g - 51. Let a(d) = -d**2 + 1. Let b(p) = 6*p**2 - 8. Let m(y) = 8*a(y) + b(y). Calculate m(q(u)).\nAnswer: -2450*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -2*x - x. Let p be 3\/12 - (-91)\/4. Let s be p\/3 + 6\/18. Calculate the highest common factor of x and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**5\/15 + 7*s**2\/2 - 7. Let a(d) be the second derivative of g(d). Let t(i) = -i**2. Determine t(a(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 559652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55027614 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*i + 17. Let o(n) = n**3 + 9*n**2 - 10*n + 5. Let p be o(i). What is the second derivative of -p*a**3 + 5*a - a**3 + 3*a**3 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5882 + -2087. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2431 - -2431.346. Which is the biggest value? (a) 5 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 2 + 2 - 1. Let o be (1\/m)\/(-1 + 46\/48). Differentiate -63 + 18 - 21*y**4 + o + 19 with respect to y.\nAnswer: -84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80846074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*a - 4*q + 84, 4*a - 135 = 5*q. Calculate the greatest common factor of 100 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53005 is divided by 2268?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 l when four letters picked without replacement from {l: 2, r: 1, p: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l = 60 + 381 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116206584919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 49336*m\/11 + 304255112\/11.\nAnswer: 2*(m + 12334)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7019611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1791 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 514 - 406. Is (4 - 408\/l) + 314755\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - -3*sqrt(104)*-2))\/sqrt(8) + (sqrt(13) + (sqrt(39)\/sqrt(3)*-6)**2)*2)*-4.\nAnswer: -3744 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 49 = -12*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-3)\/(-5))\/(-1*69*1\/(-15)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-63 + 31) - (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*c + 6*c**2 - 102*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d - 119 + 59 = 72 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15415523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 18*d**2 + 11*d - 21. Let t be r(-18). Let s = t + 223. Solve -s*o + 8 = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = 0, 3*o - 5*w - 147 = 0. Let y = -22 - -29. Calculate the greatest common divisor of o and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -18*a + 19*a + 31, 20 = 2*q - a. Calculate the highest common divisor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16833965*s**2*u**3 + 1319*s**2*u**2 - 1150*u**2 wrt u?\nAnswer: 101003790*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -935033, -936080, -937817, -940238, -943337, -947108, -951545, -956642?\nAnswer: -962393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*((-3132)\/(-1392)*12\/(-13))\/(-3).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 8 (c) 11\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4937, 3, -2.\nAnswer: -2, 3, 4937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96\/7 + 14. Let l = -353\/5 - -71. What is the nearest to l in -0.1, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = q + 2*d, q + 5*d + 14 = 0. Let p = -1 - -4. Suppose p*f = -2*f + 15. Solve q = -z + f*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4. Let c(i) = i**2 + 9. Let v(l) = 4*c(l) + 10*k(l). Factor v(a).\nAnswer: 4*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-1)\/1)\/(35\/((-20790)\/99))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 223*r**3 - 494*r**3 + 273*r**3.\nAnswer: 2*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 22 + 15*u - 3077*u**2 + 23 + 3008*u**2. Let a be k(-3). What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 131 - 152 = 87 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 31 - 5*o - 74 + 43. Let v(u) = u**2 - u**2 - u**2. Calculate q(v(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 761229 by -8.\nAnswer: -761229\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 125827, 503326, 1132501, 2013358, 3145903, 4530142, 6166081, 8053726?\n\"Answer: y**3 + 125832*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523392 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2502*f + 987.\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + 24*u + 6. Let z be h(7). Suppose 6*f + z = 3. What is the units digit of ((-3)\/9)\/(f\/732)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**3 + 41*o**4 + 29*o**3 - 20*o + 9*o**4 - 20*o**2 + 15*o**5 = 0. What is o?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/5)\/(3\/10). Suppose -47*y + 45*y + 204 = 0. Let d be y\/13 + (-6)\/(-39). Solve -4*k - c = -d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -4\/7*z**3 - 18\/7*z - 109 + 75\/14*z**2. Factor y(u).\nAnswer: -3*(u - 6)*(4*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/22, 14, 198 in decreasing order.\nAnswer: 198, 14, -1\/22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*j + 2 = -67*j - 3*c, -14 = -4*j + c. Let t(b) = -b**3 + 9*b**2 - 20*b + 3. Determine t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/2 - (-1 - -6))\/((-42)\/(-448))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 770 in ascending order.\nAnswer: -4, 4, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -10*u - 4461 + 1437. Calculate the remainder when u is divided by 178.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/2)*j\/j**(3\/4))\/(j**(6\/7)*j**(-1\/16)))**(9\/8) assuming j is positive.\nAnswer: j**(1971\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 884 - 884.393. Round t to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - 17.5. Let z = x + 14.0000042. What is z rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3 - 2*d + d + 8 + 2. Let u be f(4). Suppose u*o + 2 = 59. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4) - ((-3850)\/(-132) - 33) - 32\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71\/390 - -1\/65. Let u = -1668 + 1670. Which is the closest to -0.1? (a) u (b) i (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.0672349s to weeks.\nAnswer: 0.00011254503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a8805 (base 12) in base 3?\nAnswer: 102021222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Suppose -h = -3*n + r - 37, h - 62 = -3*n. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 440909600*j**3 - 2503606*j**2 - 54*j?\nAnswer: 2645457600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 + -5.6. Sort -0.2, z, 2, -1.\nAnswer: z, -1, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 89.126 and 124488?\nAnswer: 124398.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011010001000 + 11?\nAnswer: -11011010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/(((-4141)\/246)\/(-101)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.03503 seconds in minutes?\nAnswer: 3.4672505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 14 (c) -0.15 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 5:42 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5357*o = -5348*o - 26460. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 382, -8, -13 in increasing order.\nAnswer: -13, -8, -1, 1, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**3 - 2*w**2 + 22*w**3 - 2*w**3 + 11*w**3 - 525*w + 582*w in the form u*w + f*w**2 + b + d*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484007 and 18045.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 19*d**2 - 23*d + 467. Determine o(19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 118 + f55?\nAnswer: 106d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 136, 291, 508, 787, 1128, 1531?\nAnswer: 1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14314 (base 5) to base 16.\nAnswer: 4b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 384051713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23390?\nAnswer: 2, 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/12 - (-2)\/(-6). Suppose -10 = 35*w - 40*w. Suppose w*u + y*u - 7 = -c, 4*c = 4*u - 12. Which is greater: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853201?\nAnswer: 353, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 285151151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 133*d + 110. Let v(h) = 400*h + 333. Let g(n) = 7*f(n) - 2*v(n). Differentiate g(x) with respect to x.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766117891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1588 - 1584. Solve -m*o + 24 = 28 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111608 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 40. Suppose -2128 = -2*l - h - h, 5*l = j*h + 5293. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 31. Calculate the highest common factor of 80 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.058 + -12.058. Which is the smallest value? (a) 1\/8 (b) -4 (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 6. Let a be n(-9). Suppose 8*i + 4*x = a*i, 0 = 3*i - 5*x. Suppose 447 = -i*d + 3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 14560*v**2 + 3 + 19440*v**2 - 3.\nAnswer: 4880*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1987 - -11948\/25831. Let d = z + -17\/65. Which is greater: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 39*h + 10. Let r(b) = -4*b. What is r(t(v))?\nAnswer: -156*v - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -824*m**6\/3 - 1413*m**2 - 1952. Find the second derivative of k(q) wrt q.\nAnswer: -32960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1070 + 3?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 77*a - 80*a. Let n be 50*(1 - 12\/a). Solve -16 = -2*r - r - 2*u, -4*u + n = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9))**(-20\/9))**43 assuming b is positive.\nAnswer: b**860","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 372*-460\nAnswer: -171120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 5*g - 3. Let u be c(-5). What is the second biggest value in u, -4, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 12 + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 4. Let q(v) = v**2 - 5*v - 4. Let m be q(5). Let g = m + x. Sort -3, g, -1.\nAnswer: -3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 415 = 511. Let d(a) = 2*a - 37. Determine d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 152 = -b, 5*b + 2*k - 7*k - 800 = 0. Let p = b - 470\/3. Let f = 123\/2 + -211\/4. What is the common denominator of f and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, -74, -176, -296, -422, -542, -644, -716?\n\"Answer: 2*b**3 - 27*b**2 - 5*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 109116494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**4 + 11*f**3 - 11*f**2 - 11*f - 14. Let z(w) = -w**4 + 2*w**3 - 2*w**2 - 2*w - 3. Let t(j) = -4*d(j) + 22*z(j). Differentiate t(q) wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 85 (b) -3.2 (c) -1 (d) 2 (e) -62 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*q + 87*q - 43*q - 3*q**2.\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 370*y + 16787. What is m(-41)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -i + 5*i. Let z = i - -50. List the prime factors of (-6)\/8 - (-973)\/z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l**2 - 5*l - 2. Let a be r(4). Suppose -2*n - 377 = -3*m, 3*n = -m - n + 135. Let q = a - m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16107 - 9490 = 130*q + 23517 for q.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12)\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -45*n**2. Let d(b) = -42*b + 9*b + 11*b + 7*b + 16*b. Calculate l(d(u)).\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(272) + sqrt(17)))*6 + -2 - (((sqrt(136) - sqrt(136)*1 - sqrt(136))*-4)\/(sqrt(200) - -1*sqrt(200))*-5)**2.\nAnswer: -52 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97749 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(66\/(-4)) - 384\/(-176). Find the third derivative of -10*q**4 + q**3 - 41*q + 41*q + 12*q**4 - 80*q**k wrt q.\nAnswer: 48*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + (-10)\/(-25). Let c be (-36)\/15 + (-2)\/(-5). Let d be c - 8\/(-6)*2. Is d at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1620) + sqrt(20))\/((sqrt(30)\/sqrt(3) + sqrt(10))*4) + (3*(sqrt(2) - (-1 + sqrt(128) - sqrt(128))))**2 + (2*sqrt(288))**2 + -2.\nAnswer: 17*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 1156*w + 1144*w + 10 = 0, -5*w + 31 = 3*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -4\/7, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*t - 34004 = 17147 - 9436. Solve -t*g = -393*g + 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -z - 7*z. Solve 3*g - 2*r = -16, -5*g = -r + 4*r + z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*x + 63, -5*f - 25 = -3*f - 5*x. What is the lowest common multiple of ((3 + 0)\/(-3))\/1*f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -31. Let d be 36\/2*7\/21 + b. Let y(x) = -6*x + 30. Let h be y(d). What is the second biggest value in h, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - 186?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/222*3\/(-84)*-24?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 39*j**2 + 31*j - 180. List the prime factors of o(-42).\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -131, 3, -17, 2, 1 in descending order.\nAnswer: 3, 2, 1, -4, -17, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m - 3. Let x be i(-5). Let p be ((-1)\/((-4)\/(-4)))\/(16\/((-256)\/4)). Put x, -3, 1, p in ascending order.\nAnswer: x, -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -20. Let n = -0.05718 - 0.34282. Sort 2, z, n.\nAnswer: z, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 8*w**2 + 8*w**2 + 3*w**3 - w**3.\nAnswer: 2*w**3 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10260281 is divided by 343?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 56*d**3 + 5*d**2.\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/60 + 1019*y**4\/4 + 3115083*y**3\/2 - 1471*y**2 - 2. What is d in v(d) = 0?\nAnswer: -3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = v + 4*v + 16, 3*v + l = -10. Let c(w) be the first derivative of -w**2\/2 + 6*w + 2. Let o(i) = i - 5. Determine v*o(y) - 3*c(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**3 - 2. Let v be t(2). Suppose f - 607 = -4*a, 4*f - v = 2*a - 362. Suppose 4*m + 48 - a = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let s be 11\/(4 - (-11)\/(-3)). Suppose 5*v - s = -t, 0 = -0*t - 4*t + 4*v + 12. Let u(n) = -9*n + 8*n + 6*n + t*n. Calculate u(q(m)).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0388 (b) 99 (c) 19.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -6\/299?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17524, -70115, -157766, -280477, -438248, -631079?\nAnswer: -858970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 2 (c) -1\/3 (d) -1\/2 (e) -0.4 (f) 0 (g) 42078\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 1 + 79 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2062 + -1454. Let f be 15\/(210\/b) + (-8)\/(-14). Let m(v) = 2*v**2 - 2*v. Let i be m(2). Calculate the greatest common divisor of i and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 116, 4, 3\/4 in ascending order.\nAnswer: -2\/13, 3\/4, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxgp when four letters picked without replacement from {f: 1, y: 1, x: 1, p: 11, g: 1}.\nAnswer: 11\/32760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(-40374)\/(-12) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 0 - (-12)\/6. Suppose -4*s - 5*d = -1289, -891 = -3*s - p*d + 76. Let g = s + -182. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1844 = 5*o - 1854, 0 = -2*y + 2*o + 38 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74080?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50397333 divided by -60501?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -27*p - 175. What is the tens digit of r(-51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 376, 432, 500, 574?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5) + -388*(-10)\/400)*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (sqrt(1088) - ((-1 + sqrt(1088))*-5 - sqrt(1088)) - (0 + sqrt(1088)*1))))**2.\nAnswer: -14400*sqrt(17) + 980100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100111101001 (base 2) to base 16.\nAnswer: -39e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -902 + 960. Suppose 0 = -5*y - 83 + h. Let n(l) = l**2 + 3*l. What is n(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 50.66155kg?\nAnswer: 50661550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -861\/8 + 68259\/632. Do v and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 1, 1195, 2, 5, 12.\nAnswer: 1, 2, 5, 12, 61, 1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484984405?\nAnswer: 5, 19, 1237, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -a35 (base 11) in base 7?\nAnswer: -3432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2*w**2*x + m**2*w**2 + m**2 - 52259361*m*w**2*x - 13*m*w**2 + 5609*m - 3 wrt x?\nAnswer: -2*m**2*w**2 - 52259361*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (928\/(-5568))\/(152\/(-24)*-1).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 16. Let h(d) be the second derivative of -d**3\/6 + d**2\/2 - 4433*d. Give -h(r) - j(r).\nAnswer: -r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -12, 3*s = -0*s - 3*h - h + 6 + 51 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 18 = -26*i. What is the nearest to 1 in -3, 4\/3, 2\/19, i?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138918.\nAnswer: 2, 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248668681*p + 8166145?\nAnswer: -248668681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + (-195)\/15 - 3*(-1 - 1). Solve -2*t + g = -3*m, 3*t = -24*m + 19*m + 28 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 32*w**2 - 23*w**2 + 14*w**2 + 24 + 1 + 16*w + 17*w**2 - 100*w**3. Let h(x) = 0. Calculate x.\nAnswer: -2\/15, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*j = 2, -5*j = -7*u + 4*u + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.05698?\nAnswer: 0.022792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*m + (4 + 0 - 2)*((-1 + 3 - 1)*(2*m - 1 + 1) + 3*m - m - 3*m + 0*m + 2*m + 0*m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-1)\/2) - 381. Let j = i + 827. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -990. Let o = i - -2. Let f = -270 + o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 8*c**2 + 12*c - 14. Let v = 37 + -16. Calculate the remainder when l(8) is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*o + 186 + 49, -4*l + 3*o = -229. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3656 = -y - y + 5*d, d - 4 = 0. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzhddzmmkzvzzvzvdz. Give prob of sequence zkkz.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1020441003 (base 5) to base 12\nAnswer: 86555b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*m - 3*m - 10 = 0, 2*m + 36 = 5*z. Suppose -3*x + z = -x. Factor 2*q**5 + 12*q**x + 130*q**3 - 134*q**3 - 10*q**5.\nAnswer: -4*q**3*(q - 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*l - w, l - 9*w = -6*w + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = 0. Suppose x = 4*b + b + 10. Let u be ((-12)\/b)\/3*(3 + -1). Solve 2*n - 3*n = -u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*y - 110*y + 6864. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - -54.3. Let k = -55.2 + r. Sort k, 0.3, -2\/7, 0.15 in increasing order.\nAnswer: -2\/7, k, 0.15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 25. Suppose 13 = -5*n + 38. Suppose 40 = 5*z - n*k, -3*z + 2*k + 7 = -19. What is the remainder when i is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*d + 2*a**2 - 72792316*a + 21621451*d + 1 wrt a?\nAnswer: -4*a*d + 4*a - 72792316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*y - 23 = -3*m, 3*m - 4*y = 32. Suppose -2*f + m*f = 44. Suppose -15*j + 180 = 15*j. What is the lowest common multiple of f and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - 40. Let c = 10 + n. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + d = -7, -m + 0*d = -5*d - 27. Suppose 1 = m*q - 3. Suppose -1 - 1 = -q*z. Sort z, -4, -5 in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871696 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271055*j**2 - 271054*j**2 + 813223*j**2 - 271059*j**2.\nAnswer: 55*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 13*i**2 + 3*i - 16. What is the remainder when f(13) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/144 and -5\/36288.\nAnswer: 36288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8175444 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - p**2 + p**4 + 361*p - 361*p as a*p**2 + h*p + y + m*p**3 + u*p**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16099 is divided by 304?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/21)\/((-566)\/3962)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 4, c: 1, n: 7, z: 2}. Give prob of sequence lsc.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, x: 3, c: 2, f: 1, n: 1}. What is prob of picking 1 n and 3 x?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 135*i**4 + 6205*i**3 + 42970*i**2 + 80480*i - 3040 = 0.\nAnswer: -38, -4, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -76. Let d = -19 + k. Suppose 8 = 4*v + i, -i - 10 = -0*v - 5*v. Solve -4*z - 5*s = -d, 5*s = -v*z + 6*s + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(99) + (1*sqrt(3)*-4)**2 + (sqrt(189)\/(-2*sqrt(7)))\/sqrt(9).\nAnswer: -sqrt(3)\/6 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35263 divided by -278?\nAnswer: 35263\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 258 + 34 = 0. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqppbqqgxxblqpbqbpl. Give prob of picking 1 p, 2 l, and 1 x.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57, 105, 143, 165, 165, 137, 75?\n\"Answer: -t**3 + t**2 + 52*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*n + 843 = -1546 + 202 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least as big as 297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:49 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(468) + -5 + (-4 + 1*sqrt(13))*-5.\nAnswer: sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j, 3*h + 2*j - 36 = -h. What is the highest common factor of h and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3\/7 - 136737*i**2\/7 - 1168716762*i\/7 - 2628920529\/7 = 0.\nAnswer: -17091, -9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/95 and -61\/121151690?\nAnswer: 2301882110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2195392*v**2 + 216733*v?\nAnswer: 4390784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 + 16*f**2 + 2. Let s be v(8). Let x = 2.3 + -2. Which is the third biggest value? (a) 2\/13 (b) s (c) 0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 11\/4 (c) 1\/5 (d) 1\/6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110011121100221 + 12?\nAnswer: 110011121101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 922462727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21184 by 8.\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3 - 40970*g**2 - 37941803*g - 37900834 = 0?\nAnswer: -40022, -947, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 7, b: 7, n: 3, u: 1}. Give prob of sequence ujk.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (-2 + (-148)\/(-24)). What is the nearest to 1 in -4, 6\/17, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*l - 149760 = 116*l. Is l a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -2 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 320. Let f = v + -180.8. Which is the smallest value? (a) 1 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 32.\nAnswer: -5, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 11*v + 10. Suppose 0 = 4*s, -3*s = -w + 5*w - 36. What is k(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -370\/9. Let w(g) = g**3 - g**2 + 6*g - 5. Let l be w(1). Which is the nearest to l? (a) f (b) -3\/7 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48088, -95951, -143814, -191677, -239540, -287403?\n\"Answer: -47863*x - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -4721\/65 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451981880?\nAnswer: 2, 5, 7, 19, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 e, and 1 j when four letters picked without replacement from {e: 2, h: 1, n: 1, s: 1, j: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 261908314, 523816628, 785724942, 1047633256, 1309541570, 1571449884?\n\"Answer: 261908314*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*j**2*s + 215164*j**2 - 3*j*s**3 + 44*j*s wrt s?\nAnswer: -14*j**2 - 9*j*s**2 + 44*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h + 0 - 52*h**2 - 1\/330*h**5 + 15\/11*h**3 - 1\/3*h**4. Solve u(f) = 0.\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1070 + 1076. Let c(n) = n**2 - 6*n - 12. What is c(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-104 - -43) + (-1 - (4 - 0))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 2 (c) -0.04 (d) 0.4 (e) -0.1 (f) -16\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*x + 25, i - 11*x + 25 = -6*x. Let u = -0.34 + 0.04. Which is the closest to 0.39? (a) u (b) -1\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4856*d + 0 + 2*d**2 + 4854*d + 12*d**4 as t + h*d + k*d**2 + m*d**4 + p*d**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + (-7 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5)\/((-4)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 7*o**2 + 5*o - 22. Suppose k - 5*k - 30 = 2*u, -5*u = -4*k - 37. What is the smallest common multiple of t(k) and 23?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j + 2. Let v = 1533 + -1540. Let d(m) = 33*m + 7. Calculate v*w(q) + 2*d(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1, 97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + a + 3*a + 2 = 0, 3*b + 3*a + 3 = 0. Let q = 9 - 5. Find the common denominator of (73\/(-3) - b)\/q and -17\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -34*o**3 - 3*o**2 + 3*o - 4. Let i(n) = -67*n**3 - 5*n**2 + 5*n - 7. Determine -3*i(w) + 5*t(w).\nAnswer: 31*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -24*z**2. Let t(g) = 96*g**2. Give i(t(o)).\nAnswer: -221184*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*t + 20843 = 0, m - 4164 = -0*t + 4*t. Let v = m - 58323\/14. What is the common denominator of v and 0\/(-1) - (-95)\/(-18)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-1.7151\nAnswer: -2.7151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4. Let z(a) = -27. Let m(t) = -5*r(t) - z(t). Let d(l) = 17. Let b(y) = 11*d(y) - 4*m(y). Let p(g) = -2*g**2 - 4*g - 10. Determine -10*b(h) + p(h).\nAnswer: -2*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-51)\/(((-18)\/(-96))\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + 139. Let q = -0.0111 - -36.7111. Let x = z - q. Which is the nearest to x? (a) -4\/3 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a7402 + -5?\nAnswer: a73a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186741, 373471, 560201?\nAnswer: 746931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -11*h**4\/4 + 11*h**3\/2 + 24*h + 1. What is the second derivative of p(v) wrt v?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 49.0092.\nAnswer: 343.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2. Let z(q) = -5*q**2 + 19728371*q - 19728371*q - 21. Calculate z(p(d)).\nAnswer: -125*d**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*1*(6 - 38\/6). Let l(q) be the third derivative of -1\/24*q**4 - 1\/5*q**s + 0*q**3 - 12*q**2 + 0 + 0*q. Find the second derivative of l(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, 1, -18 in increasing order.\nAnswer: -18, 1, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1598 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 2. Let g(w) = w**2 + 6*w - 12. Let i(d) = 6*f(d) + g(d). Let j(l) = -33*l + 10. What is i(j(u))?\nAnswer: 1089*u**2 - 660*u + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:44 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 1, q: 6, v: 3, n: 1, z: 1}. Give prob of picking 1 m, 1 z, and 1 w.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 835752*t**2 - 1064876*t wrt t.\nAnswer: 1671504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3368561930 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22419 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 + 33*z + 3. Determine t(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*s + 414*s - 2*s**3 - 206*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 2055*d - 2050.\nAnswer: -5*(d + 1)*(d + 410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75630*z + 0 - 3 + 2 + 2.\nAnswer: 75630*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1216096 divided by -1708.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01748728965 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w - 1. Determine v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)\/c**(-1\/5)*c*c*c\/(c\/c**(-3))*c*c*c*c**(-1\/3) assuming c is positive.\nAnswer: c**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1105 and 0.71?\nAnswer: -0.078455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(2 - (1 + 2)). Suppose -2*n + 4 = -u, -1 = 2*n + 3*u - 5. Let h(t) = 2*t**2 - t + 2*t + m*t - n*t + 4 - t**3. What is h(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000057192 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/29 + 412\/261. Let h = 1932946\/63 + -30684. Let y = p + h. Which is the third biggest value? (a) 2 (b) y (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010 - 1011001?\nAnswer: 1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 106*d**2 + 4*d + 5. Is 32 a factor of o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3121 - 3?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 363 - b13?\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvppuuvpprvppjij. Give prob of picking 1 v, 2 p, and 1 u.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -2.8. Suppose -6 = -8*o + 2. Which is bigger: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48815 is divided by 63.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 1\/3, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 77 - 17. Let f be 15*1*(-2)\/(-3). Is 9 a factor of (-4)\/f - r\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 15 (c) -0.4 (d) 1\/8 (e) -11\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 + 4*y**3 + y**2\/2 + 14*y - 16. Let s be k(-12). What is the nearest to 1 in -2, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56463 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 3*g**2 - 5*g - 3. Let u be i(5). Let w = -13 + u. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(33\/66)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b + 3. Let o = 189 - 115. Let x(p) = 2*p + o + 0*p - 72. Calculate 3*n(v) - 4*x(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 283775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-15)\/(-6) - 2). Let y = -2 + l. Suppose u = 14 - 13. Sort -2, u, y.\nAnswer: -2, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 3*l. Suppose -l = n - 2*n. Suppose -10540*s + 10472*s + 204 = 0. Solve -s*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407862 is divided by 273.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 - 55*l**2 - 244*l + 16. Calculate n(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000119772 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 34*o - 14. What is p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111918015 and 30.\nAnswer: 223836030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/13, 16\/23, 3\/8, 1.\nAnswer: 3\/8, 16\/23, 12\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/20 + 13*d**4\/12 + 2*d**3 + d**2\/2 - 2*d. Let c be o(-12). Calculate the highest common factor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29654 - 29653.957. What is the closest to t in 0, -4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - 2*a**2 + 0*a**2)*(-3 + 2 + 2) + (a**2 - a**2 - 2*a**2)*(-78 + 78 + 58).\nAnswer: -111*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -398 equal to -398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3211 and 5408?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.38622s in nanoseconds?\nAnswer: 51386220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 47, 161, 369, 695, 1163?\n\"Answer: 4*f**3 + 11*f**2 - 17*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 31 = 59. Let a(t) = 15*t + 6. Let o(j) = -10*j - 4. Let n(x) = -5*a(x) - 7*o(x). Let p be n(-1). What is the highest common divisor of p and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.5 - -31. Let x = -5.6 - -5.9. Put w, -0.3, -0.1, x in decreasing order.\nAnswer: x, -0.1, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623\/(-3471)*(-12)\/14.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 18*v + 41*v - 18*v.\nAnswer: v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-180))\/((-8)\/720)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -947 + 660. Let z = 143 - a. Suppose -p + 355 + z = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 75 = -5*s + 4*n, -3*n - 27 = -s. Let u be (14\/8 + -2)*4 + 0. Let m(q) = -6*q - 10. Let v(y) = -1. Determine s*v(b) + u*m(b).\nAnswer: 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -76*a**2 + 1598*a + 788. What is u(21)?\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*g + 161 + 67, 0 = -3*s + 4*g - 377. Is -1558\/13 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2 - 74826*n + 74827 = 0.\nAnswer: -74827, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120*1170\/720)\/(180\/24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 1\/4*t**4 + 12*t**2 + 0*t + 1\/60*t**5 + 0 - 5\/3*t**3. Calculate k(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c*c)\/c**(2\/33) assuming c is positive.\nAnswer: c**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/7541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1714245 - 1714246.606003. Let f = -1.608 - l. What is f rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1.4774.\nAnswer: -4.4322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 6, 22, 48, 84?\n\"Answer: 5*b**2 - 9*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 24*b**2 - 43*b + 1320. What are the prime factors of a(18)?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 685*n**9\/504 - 467*n**5\/60 - 408*n**2. What is the third derivative of o(t) wrt t?\nAnswer: 82200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 790*k + 2 + k**4 - 2*k**2 + 0*k**2 + 743*k - 1441*k to x + s*k + v*k**2 + p*k**4 + q*k**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569020, -568938, -568856, -568774?\nAnswer: -568692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v**2 + 71*v + 12. What is k(10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.2 (b) 27456 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 2053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -41\/6*g**4 + 7*g + 0*g**2 + 43\/6*g**3 + 0. What is the second derivative of b(k) wrt k?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(-2*g + 3 - 3) + 20*g - 6*g - 3*g + 7.\nAnswer: 17*g + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(3 - (3 + 35)). Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = v - 51, -1240*i - 2*v = -1238*i - 38 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 9*c - 15. Let m(b) = 8*b**2 - 27*b - 44. Let l(x) = -4*m(x) + 11*v(x). List the prime factors of l(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1053853 and 1207.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.195316 and 18?\nAnswer: -3.515688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4541*a**3 + 528*a**3 - 2024*a**3.\nAnswer: -6037*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 262*p - 192 - 1642 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-5))\/v)**(20\/7)\/(v**(-2\/15))**16 assuming v is positive.\nAnswer: v**(1724\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13277 + 13273. Which is the closest to 2\/9? (a) 1 (b) i (c) 71\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48747757, 97495516, 146243275, 194991034, 243738793?\nAnswer: 292486552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -112, -148, -198, -262?\n\"Answer: -7*h**2 - h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 419449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551840622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -455758 divided by -3\nAnswer: 455758\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-14))\/((-57)\/(369360\/(-3150)))\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -0.4 (c) -6\/127 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19567197961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*l - l + 107, -2*l - 513 = -5*v. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (134 - 75 + 144)*(-3 + 14*t**2 + 4028*t + 3 - 4028*t) in the form h*t + w + f*t**2 and give f.\nAnswer: 2842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v - 9*v = -285*v - 16640 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 6*l - 54 = 0, -2*m + 47*l + 287 + 452 = -m - 50*l - 134 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59694199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + j - 2)*(-18 - 16 + 29)*(10*j + 7*j**2 - 10*j).\nAnswer: -35*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -18. Let y(g) = -17*g**3 - 2*g**2 - g - 2. Let t be y(-2). Let f = -1154\/9 + t. What is the smallest value in f, 1, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4835 - 32*j - 4842 - 4834 - 4838 + 19347.\nAnswer: -32*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13674967069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327509 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: Solve 320009*b = 319973*b + 1296 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 k when four letters picked without replacement from {k: 12, d: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1190280000 to the nearest one million.\nAnswer: -1190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(36)\/sqrt(3))\/sqrt(4) + (sqrt(3) - sqrt(27)\/sqrt(441))))**2.\nAnswer: 2028\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11595 + 29974 = -880*j - 15061 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 6*f - 5)*(0*f + 3*f - 5*f) - 1 + 1 + 3*f**2)*(5*f**2 - 4*f**2 + f**2).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -0*p - 3*p - 5*y, p - 5*y = 13. Suppose -4*v = -v - p. Suppose 0 = v*n - 58 - 26. Calculate the highest common divisor of 21 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 102 = 4*l. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 + 5*w - 8. What is the remainder when b(2) is divided by -5*5\/(-25) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-80)\/(-6))\/(2\/(-48)). Suppose -19 - 41 = 6*p. Calculate the common denominator of (-4)\/p + (-1732)\/s and 15\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 29298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*b**5 - 3*b**3 + 81*b + 8.\nAnswer: -3620*b**3 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 129*16\/(-144) - -15. Let p(v) be the first derivative of 0*v**5 + 0*v + 0*v**2 + 1\/6*v**6 + 22 + q*v**3 - 3\/4*v**4. What is j in p(j) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.075 + 34. Let l = 0.175 + g. Sort l, -0.2, -7.\nAnswer: -7, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.73190068 + -47.7609. Let s = 24.83 - 24.801. Let n = w + s. Round n to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*s + 209*s - 5 = -5*d, -3*d - 7 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32\/23, 5 in increasing order.\nAnswer: 0, 32\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.196, 9, 3\/29, 1, 2 in descending order.\nAnswer: 9, 3.196, 2, 1, 3\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 2:18 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 35*x + 382. Determine l(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2046)\/1302*(-7)\/(-6)*8\/(-154)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*1 + 4 + sqrt(624)\/sqrt(3) + 1.\nAnswer: 5 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 12:46 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8648 is divided by 796?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 g, and 1 l when four letters picked without replacement from {q: 7, g: 3, y: 3, l: 2, o: 1, d: 3}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 1. Let z be r(3). Suppose -16 = -2*c + 3*f, -5*c + 9 = -z*f - 17. Factor -12*h - 10*h**3 + 4*h**3 + 2 + 12*h**c + 1 + 3*h**2.\nAnswer: -3*(h - 1)**2*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 i when three letters picked without replacement from iwkkiktiwwtwwwkwiww.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31274422 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: Suppose 7*c = 79 + 33. Let h be 179\/2 + (-8)\/c. Let v = h + -976\/11. Find the common denominator of v and 49\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1.74062?\nAnswer: -1.74062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 5*h + 3, -m = -4*h + 51. Let g be (1 - (-6)\/(-4))*(88 + -10). Is g <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2 - 2*b**2 - 3*b**2 - 2*b**2 + 3*b**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2396021 to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + -292. Let c = 270.4 + f. Let j = c + 39. What is j rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*f**2 - 3*f + 782 wrt f.\nAnswer: -100*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*p - 8*p. Let u = -40 - p. Suppose 295 + 650 = u*s. Is s a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62+49.17085\nAnswer: -12.82915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m**2 + 2*m**3 - 12*m - 3*m**3 + 12 - 7*m**3. Let g(h) = h**3 + h**2 + h - 1. Let x(a) = -10*g(a) - q(a). Factor x(o).\nAnswer: -2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44415208*t + 3*r = 44415212*t - 32, 0 = -2*r + 3*r + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 1. Let p(n) = -11*n + 150. Let h(m) = p(m) - 3*x(m). Let f be h(19). Which is the closest to 0.3? (a) 2\/11 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023218 + -25268947340?\nAnswer: -25268947340.023218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/25*(-21 + -9*(-56)\/(-16)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, -514, -1985, -4828, -9499, -16454?\n\"Answer: -76*r**3 - 2*r**2 - 17*r + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 20) + (23 - (0 - -20)) + 56\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1105 (base 6) to base 13.\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26446153.\nAnswer: 26446153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*s + 542 = -132*s. Let i = s + -541\/2. Which is the closest to i? (a) -10 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 4*l**2 - 4*l + 2. Let o be h(3). Let t be 70\/(-8) + o\/4. What is the smallest common multiple of 4\/6*t\/(-6) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 34532*n - 1692062. What is c(49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 172*l + 3698 = 0. What is l?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/397 or -1?\nAnswer: -6\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-463 + 463 - 2*z**2)*(-z - 2*z + 5*z)*(-3 + 4 - 11) to p + m*z**3 + i*z + f*z**2 and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285615\/14 + -20402. What is the closest to 8 in -5, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(28) + sqrt(28) + sqrt(28) + 1*(sqrt(7) + 1))**2.\nAnswer: 28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1809.5934 months?\nAnswer: 150.79945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - u**2 + u**2. Suppose 3*t - 12 = -2*v + 9, 4*v - 33 = -3*t. Let n(s) = -v*s + 8*s + 0*s. Give n(h(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.92 - 0.08. Let o = -4.7 + 4.6. What is the third smallest value in -0.4, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = 13*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1829*7.\nAnswer: -1.2803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -40, -97, 0.086 in ascending order.\nAnswer: -97, -40, -1, 0.086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -549, -833, -1117, -1401, -1685?\n\"Answer: -284*a - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3109 (base 13) to base 2\nAnswer: 1101001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27864, 55727, 83590, 111453, 139316?\n\"Answer: 27863*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - i**2 + i**2 + (0 + 0 + 2*i**2)*(i + i - i) + (-2 + 1 - 7 + (0 - 2 + 3)*(-1 + 5 - 1))*(-5*i**3 + 3*i**3 + 3*i**3).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 327282702 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6922 is divided by 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1624, -5278, -10950, -18640, -28348, -40074, -53818?\n\"Answer: -1009*k**2 - 627*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 295440.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-128))\/((-2)\/4*2). Suppose 0 = -x + 6*x + 30. Let h(d) = -d**3 - 7*d**2 - 9*d - 13. Let a be h(x). What is the third biggest value in g, a, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 - 4 = 0. Let k be (0 - u) + -3 + 0. Is 2\/5 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3884 divided by 3884.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 6138?\nAnswer: -18414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(sqrt(68) + -1*sqrt(68) - sqrt(68)) + -5) - (-4*(sqrt(68) + 2)**2 + (-4 + (3*sqrt(68))**2 - sqrt(68))))*-3*-3.\nAnswer: -2970 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774959950 to the power of 1\/2, to the nearest integer?\nAnswer: 42130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmmi. Give prob of picking 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 61*f - 71*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 25*a - 20.\nAnswer: -5*(a - 4)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2. Let t(y) be the first derivative of y**6\/180 + 2*y**3\/3 + 3. Let n(s) be the third derivative of t(s). What is n(a(r))?\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/11 + -3\/22. Suppose -182 = 2*q - 3*k + 407, k - 1 = 0. Let l = 585\/2 + q. Put y, 1\/5, l in decreasing order.\nAnswer: y, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/9)\/(-2*(-93)\/36*(-32)\/24)?\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67976.857 and 3292174.\nAnswer: 3224197.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.053 + 59709.68.\nAnswer: 59709.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 + 1. Let x(k) = k**3 - 10*k**2 - 34*k - 11. Let b(q) = 2*f(q) + x(q). Is 7 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 4 + 7*h - 2*h + 4*h**2 - 5*h**2. Let z be g(-3). Let m be -4*1\/z + 4. Solve 2 = -4*c - m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 4217224*z**3 - 19680436*z**2 + 11245968*z = 0.\nAnswer: -1405746, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 113. Suppose -r*b = -5*f + 31, 4*f - 17*b + 12*b = 23. Solve 3*p + 4 = f*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - 12420124?\nAnswer: -12420014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123112 is divided by 4533?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1224 = -14*j. Suppose 66*u = j*u - 408. What is the remainder when u is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/k**(2\/15))*k))\/(k**(-3)*k)*(k*k*k\/((k*k**(-1\/4))\/k))\/(k**(-6)*k))\/((((k*k**(-2\/3))\/k)\/k)**27)**21 assuming k is positive.\nAnswer: k**(57307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 250, -64, -904, -2528, -5194, -9160, -14684, -22024?\n\"Answer: -43*x**3 - 5*x**2 + 2*x + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5396*g - 8650.\nAnswer: 5396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 38 = 0. Is p greater than or equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 8*v + 8. Calculate o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008846513 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 78?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3380 and 117?\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81848423 to three dps.\nAnswer: 0.818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g**2 + 512*g - 206. Give h(62).\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201\/197 or 1?\nAnswer: 201\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12911325 to the nearest integer?\nAnswer: 3593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9061.15 centimeters?\nAnswer: 0.0906115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.5 - 40.5. What is the closest to -5 in s, -0.5, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 956 + -906. Calculate the highest common factor of i and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*o = 2359, n + 3*o - 482 = -0*n. Let g = n + -835. What is the units digit of g\/(-2*(2 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 43. Suppose 4*i + 3*d - 65 = j, 4*i + d + 42 = 117. Solve -4*t + 15 = 3*w - 6*w, 5*t - i = 5*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 3, o: 6, c: 1, g: 1, t: 1}. Give prob of sequence gic.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 14*g + 5*q - 760 = 0, 5*g + 3720 = 5*q. Is g > -740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f**3 + 8*f**2 - 20*f + 9. Let x(w) = w**3 + w**2 - 2*w + 1. Let v(k) = 2*s(k) - 18*x(k). Suppose v(y) = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/9 - 526*w**2\/9 + 11440*w\/3 + 3872 = 0.\nAnswer: -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*j*l**2 + 128319*d**2*j + 12*d**2*l - 130*d*l**2 wrt j?\nAnswer: -d**2*l**2 + 128319*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 8740710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.2 and -1854508.\nAnswer: -1854505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -65*n**2 + 182 - 213*n - 1\/3*n**3. Find the first derivative of x(u) wrt u.\nAnswer: -2*u - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346953677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 5*u**3 - u**2\/2 + 10*u + 66. List the prime factors of s(3).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.34580519 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249*a**4 - 636*a**2 + 76*a**4 + 35*a**4 wrt a.\nAnswer: 8640*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202210 - -1020121211?\nAnswer: 1002212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5 - 10*d**4 + 10*d**3 + 40*d**2 + 35*d + 10 = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 732*y + 730*y = -2, 0 = -58*h - y + 6 - 290 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425 + u**3 - 426 + 851.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 540\/900 + (-1 + 1 - 0). Let m = -1037\/5 + 208. What is the closest to m in u, 4, -4, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*f - 30 = 0, 0 = 3*v - f - 1 - 19. Factor -o**v - 34*o**2 + 2*o + 17*o**2 - o**3 + 14*o**2 + 3*o**4.\nAnswer: -o*(o - 2)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16387 + -12279. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -8 + 1. Suppose -4 = -d + 1. Let k = d - 1. Solve -2*p - 6 = 2*l - k*l, -p + 2*l - i = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1936 - -1184. What is the tens digit of (-7 + a\/12)\/((-1)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 186*h + 18. Let g be l(12). Suppose -8*m - m + g = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268 + 5*j + j**2 - 17*j**2 - 9*j - 415 + 6*j.\nAnswer: -16*j**2 + 2*j + 853","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 30379511\nAnswer: 14\/30379511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(432) - (sqrt(432) - -3*sqrt(432))) + 2 + (2 + sqrt(432))*4)**2 + -4.\nAnswer: 240*sqrt(3) + 530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, n: 4, p: 1, g: 4, l: 1}. What is prob of picking 1 p, 1 r, and 1 n?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223931250?\nAnswer: 2, 3, 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(78)*-2 + sqrt(78))*3)\/(5*sqrt(66)\/(-1*sqrt(11))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:06 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(32)*-5 + -3 + (0 + sqrt(968))*-6 + -2)**2.\nAnswer: 912*sqrt(2) + 46222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 190, 616, 1276, 2170, 3298, 4660, 6256?\n\"Answer: 117*l**2 + 75*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -18. Suppose 6*t - 5*t = 0. Let v = n + t. What is the highest common divisor of v and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2446 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/12)\/1)\/(4\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*t = -213*t + j + 10, 5*t - 4*j = 31 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*a - 5, p - 30*a + 26*a + 13 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/5)\/i)**(3\/7)*(i**(-3\/7)*i)**(-4\/17) assuming i is positive.\nAnswer: i**(22\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/5 - 716*x\/5 - 2157\/5 = 0.\nAnswer: -3, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259617.00004 + -259622. Let j = 14 - 9. Let a = l + j. Round a to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.988 less than 151460601?\nAnswer: 151460599.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 3*v**2 + v + 3. Let j be u(-3). Suppose 4*x + 5 - 13 = j. Solve -2*z + 5*s = -z - 3, -4*z + x*s = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khn when three letters picked without replacement from rnnnbhk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 177.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155\/28 + (-86)\/301 + -5. Find w, given that -p*w + 1\/4*w**2 + 1\/4*w**3 - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29755 from 2.511.\nAnswer: -29752.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrryryry.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10973984 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 - 25 - 9*q + 4*q**2 + q**3 + 0*q + 29. Let x be c(7). Let u = x - 56. What are the prime factors of u?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 39221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 374 + 84. Let h = -448 + l. Solve 0 = 3*u + 2*j + j - 18, u - 3*j = -h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -883a7b (base 15) to base 2\nAnswer: -11000110001000101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*v + 580. Let z = -206 + v. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51\/47 - 157\/188. Let w be (-2)\/5 + 53\/15 + -3. Let u = 5.7 + -6. Sort -1\/2, w, u, s in decreasing order.\nAnswer: s, w, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2914 + 2303*k - 98*k + 2913 in the form p + n*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 19, 10, -3 in descending order.\nAnswer: 19, 10, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 5774 - 5806. Put 0, 11, -1, -18, k in decreasing order.\nAnswer: 11, k, 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 20. Suppose 5*z - 348 = -j*o, 0*o + 5*o - 406 = z. Let g = o - 36. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*f + 45, 4*f = -282*l + 285*l - 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + b = 13, 2*c + 50 = -38*b + 43*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 16*b**2 + 16*b - 13. Let w be g(-17). Suppose -2\/3*m**5 + 0*m**2 - 2\/3*m**3 + 4\/3*m**w + 0 + 0*m = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 4. Let k be t(-6). Let g be k - 58\/12 - -3. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(330) - sqrt(330)*1*3)\/sqrt(10))\/((sqrt(55) - (sqrt(440) - -2*sqrt(440))\/sqrt(8))\/sqrt(5)))**2*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4093 - -12981. Does 40 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*b = -83*b + 21, -2*s + 0*b = -4*b - 24 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 931552 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 84509 times -47\nAnswer: -3971923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 71. Give a(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*l**4 + 0*l + 1 + 0*l + 0*l with respect to l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 4*t + t)*(-25*t - 2*t**2 + 25*t - 5) to a*t + z*t**2 + k + r*t**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/8, 1\/6, 8.8, 10.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13731 and 2553?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000290492324 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i\/i**0)\/i))**39\/(i**1*i)**(-1\/61))\/((i*i\/(i\/(i*i**(1\/2))*i))\/(i**(-1\/3)\/i)*((i**(-1\/3)\/i)\/i)**(13\/2)) assuming i is positive.\nAnswer: i**(2263\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c**6 + 18*c**5*v - 357*c**2*v wrt c?\nAnswer: 1200*c**3 + 1080*c**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 496082370917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39\/220 - 1937\/165. Find the common denominator of a and (-3)\/6 - (-82)\/40.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 3683*t + 3681*t + 4*t**3 - 4*t**2 - 5*t**3 - 12*t**4 to h + g*t**2 + o*t**4 + q*t + x*t**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (2 + -2 - 1) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 86 (b) -0.1 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30173 is divided by 228.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -1, 847, -8.\nAnswer: -10, -8, -2, -1, 847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*m**2 + 31*m**2 - 86*m**2 + (-4*m + 0*m + 5*m)*(-2 + 2 + 5*m) + 3*m**2 - 4*m**2 - m**2.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**2 + 9*y**2 - 87*y - 16*y**2 + 1 as j + m*y**2 + n*y and give n.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a + 11. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**7\/r*r))\/(r**(1\/9)*r))\/(r**(-4\/5)\/(r**(1\/3)*r)))**(-36) assuming r is positive.\nAnswer: r**(896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -374, -845, -1506, -2357, -3398?\nAnswer: -4629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**2 + 63*i + 222. Calculate the lowest common multiple of (-5)\/(((-16)\/160)\/((-2)\/(-5))) and g(-4).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t = -3*m + 8, -5*t + 40 = -5*m. Suppose t*r - 2 = 6. Which is the fourth smallest value? (a) -1\/2 (b) r (c) -3 (d) 0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6 - 4*t + 6 + 2 - 6. Let v be f(-2). Sort 5, -4, v in descending order.\nAnswer: 5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027487613 rounded to 5 dps?\nAnswer: -0.02749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 1)*(-c + 0*c + 6*c) - 4 + 4 - 3*c + (2 + c - 2)*(2 + 3 - 3).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 595*m - 30348. Calculate v(51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0282286821 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 747.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80105.4 years in decades?\nAnswer: 8010.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {b: 1, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z + 0 + 0)*(-2*z**3 - 2*z**3 + 5*z**3) + 2*z**4 - 3*z**4 - z**4.\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + (-535)\/(-35). Suppose 0 = k - 2*k - b. Let q = k - -30. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g)\/g*g*g**3\/g)\/((g*g**(-2\/37))\/(g*g**(4\/11))) assuming g is positive.\nAnswer: g**(170\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -996\/49 at least as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2, 18*r = 16*r - 5*w - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + q = 2*q - 113, -9 = -3*q. Let y = u + 244. What are the prime factors of y?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 4*x**3 + 2*x**3 - 7*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -2*w**2 - 94*w - 5\/6*w**3 + 0. Calculate g(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4099510 and 8199020.\nAnswer: 8199020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 66. Let c(l) = 32 - p*l + 2*l - l - l. Let t be c(5). Solve t*g + 3*g + 1 = -2*w, 4*g - w = -6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a - 9. Let t(i) = 10*i + 330. Let l(h) = -2*h - 60. Let z(b) = -11*l(b) - 2*t(b). What is z(p(m))?\nAnswer: -14*m - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3476, -3462, -3458, -3470, -3504?\nAnswer: -3566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 16*t**2 - 143*t + 737. What is r(21)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 + 0*q**5 - 1\/15*q**6 + 0*q**4 - 7\/6*q**3 - 8*q + 0*q**2. Find the second derivative of k(w) wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -69\/7052?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - p. Suppose 3*m + 5*j - 3 = 0, m + 3*j - j - 2 = 0. Let w(k) = 5*k**2 + 4*k + 2. Let s = 5 - 6. What is m*x(o) + s*w(o)?\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**(-10)*g**(6\/5)*g**37 assuming g is positive.\nAnswer: g**(-309\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 25. Let b be h(-9). Let t(k) = -3*k**2 - k - b*k**2 + 205 - 204. Let i(d) = -2*d**2 + d**2 + 2*d**2. Calculate 18*i(u) + 2*t(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - -5) + (-82)\/8)*1568\/588?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58 and -658532855?\nAnswer: 658532913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkptttppttwp. What is prob of sequence pktp?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q**2 + 458*q - 458*q + 379*q**2.\nAnswer: 340*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27756 = 15*r - 8859. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30832322.\nAnswer: 2, 17, 37, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 10*a**5\/17 - 304*a**4\/17 - 1560*a**3\/17 - 1748*a**2\/17 - 82*a\/17 + 420\/17 = 0.\nAnswer: -3, -1, 2\/5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(-2) + (-228)\/(-120)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -455 - -762. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m = -2*b + 6022, 0 = 2*b - 3*m - 6046. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in -188\/9, 1, 15, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 26. Suppose 0 = -0*l + 5*l - c + 28482, 0 = -3*c + 6. Is (-1)\/2*(l - z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-15) - (-2369024)\/(-53760)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -48*k**3 + 4*k**2 + 3*k + 9. Let a(l) = 26*l**3 - 4*l**2 - 2*l - 8. Determine 3*a(u) + 2*v(u).\nAnswer: -18*u**3 - 4*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -26*f**2 - 4*f - 3. Let i be x(-3). Let y = -4806 + 4690. Let o = y - i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11502304 (base 6) to base 14.\nAnswer: -97560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 + 20*m**2 + 10*m + 9. Let n(g) = -g**3 + 10*g**2 + 5*g + 5. Let z(d) = 5*n(d) - 2*w(d). Is z(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -132, -424, -970, -1848, -3136?\n\"Answer: -13*k**3 - 10*k**2 + 5*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157341 is divided by 1573?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*o = 86*o - 3680. What is the derivative of o + 831 - 1706 - 51*b wrt b?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 4*l + 4. Let t(x) = -x**3 + x**2 - x + 1. Let s(y) = n(y) - 3*t(y). Let z = 2333 - 2335. What is s(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/8 - 5*u**3\/2 - 2*u + 89. What is d in t(d) = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/286 and 133\/86658.\nAnswer: 86658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176\/39 + 14\/3. Which is the biggest value? (a) 1 (b) -3 (c) -25 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876244 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let n be 0 + (8 - 1)\/q. Let v = -19 - -23. Solve v*r + n = -9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -11304615?\nAnswer: -11304622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 3. What is the remainder when (-53)\/(-3) - 1\/(-3)*1 is divided by q(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*l + 28 = 0, -3*l = d - 16 + 1. Let n = -164 - -116. Let y be (-2 + n\/(-21))\/3. Which is the smallest value? (a) y (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14695 is divided by 3120?\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = -5*h. Let d(j) = -j**3 - 3*j**2 - 4*j - 2. Let k be d(h). Suppose -2*c - 5*g = -5, k*c - 3*c + 5*g = -25. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203 is divided by 397.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/8)\/g*g))\/g**(-3\/7)*(g**1*g)\/(g**(2\/3)*g*g) assuming g is positive.\nAnswer: g**(-19\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54656\/(-4270) - (-9532)\/740?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/7093331 and 93\/8890.\nAnswer: 70933310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(416\/(-24)))\/(2*(-12)\/224)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -155.9924 and -0.1271287.\nAnswer: -156.1195287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -31*o. Let u(i) = 2*i**2. What is x(u(h))?\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46.5*1496.3\nAnswer: -69577.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7289065.\nAnswer: 5, 7, 19, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118538 + 59462 = -10*y. What is y rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2586560041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 22. What is the units digit of u(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*v - 109 + 92, 5*g + 16 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -10, 8, 50, 122, 230, 380?\n\"Answer: z**3 + 3*z**2 - 16*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-928*i**2 - 1381*i**2 - 140*i**2 - 188*i**2 - 298*i**2).\nAnswer: 2935*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 1. Let n(o) = 21*o - 28. Let v(h) = -28*d(h) + n(h). Let w(r) = 3*r**2. What is w(v(s))?\nAnswer: 7203*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d (base 14) in base 13?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0 + 1\/8*w**4 + 0*w - 1\/120*w**6 + 0*w**3 - 3*w**2 + 0*w**5. What is the second derivative of i(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mim when three letters picked without replacement from {i: 3, o: 5, m: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2852*u**4 + 2*u**2 + 157*u + 34 wrt u.\nAnswer: 34224*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 47*f - 20*f - 18*f. Let l(o) = 6*o. What is l(y(z))?\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35\/4 + 8. Let n = h + 1\/12. What is the biggest value in n, -2, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, w: 6}. What is prob of picking 2 w?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/323 or 1?\nAnswer: -1\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)\/(k**(2\/7)*k)*k**3*k**(-3\/5) assuming k is positive.\nAnswer: k**(74\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4 - (10 + -8)) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 1984.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*y - 5, 2*y + 10 = 4*u + 3*y. Suppose -u - 17 = -4*v. Suppose v*q - 4*q + 5*l = -18, 2 = q + l. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 61526 = 5*f, -4*f - 39573 = -3*v + 21998. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 6*l - 7. Let u be c(-2). Suppose -3 - u = -5*b + 4*w, 0 = -b - 2*w + 4. Suppose -96 = b*g - 8*g. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/2)*p)\/(p*p**(5\/7)\/p))**19 assuming p is positive.\nAnswer: p**(-57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, g: 2}. What is prob of picking 1 u and 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614371 to the power of 1\/2, to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) + (-43)\/(-9). Let j be (18\/60)\/(6\/f). Find l such that j*l - 1\/4*l**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -12*q + 17*q. Suppose c - 4*n = -17, c - q - 10 = -3*n. Is (c - 1)*(-2 - 175\/(-14)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((14 - 1 - 6)*(-3 - 1 + 2) + (1 - 3 + 1)*(1 + 4 - 2)*(0 + 0 - 1))*(3*m - 2*m - 2 - 5*m) as f*m + s and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Suppose -l = -n - 19, 3*l - 5*n = -4*n + 55. What is the remainder when l is divided by 1 - -1 - 8\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 9*j**2 - 15*j + 11. Let v be f(7). Let h(a) = a**3 + 4*a**2 - 5*a + 2. Let u be h(-5). Factor -v + u + x**2 - 6*x + 7 + 4.\nAnswer: (x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*o**2 - 10*o**2 - 18*o**2 - 2.\nAnswer: -134*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5065, 10129, 15209, 20311, 25441?\nAnswer: 30605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*v - 0*v - 926, 922 = r - v. Suppose -4*p + 0*p - r = -5*a, 0 = -p + 3*a - 223. Round p to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00643824 to five decimal places.\nAnswer: 0.00644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 89156, 356699, 802604, 1426871?\n\"Answer: 89181*d**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -5*p**4\/12 - 3*p. Let h(m) be the second derivative of m**3\/6 + 14*m. Determine h(t(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10721.44 and -1.746.\nAnswer: -10723.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(6\/13))\/(s\/(s\/s**(-1))))**(-40) assuming s is positive.\nAnswer: s**(-1280\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:26 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 2. Put u, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h*(h*h**(3\/5))\/h*h)*h)**(-43))**(-45) assuming h is positive.\nAnswer: h**(-6966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 590 and 79222840?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5943, 24, -4, 7.\nAnswer: -4, 7, 24, 5943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/y**(-5))\/y*y*y\/((y*y*y*y\/y**(2\/3)*y)\/y)*((y\/(y\/(y\/y**(-5)))*y)\/y)\/((y\/(y**(-4)\/y))\/y))**40)**28 assuming y is positive.\nAnswer: y**(22400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbyrbzbi. What is prob of picking 1 i and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 672 - 1?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (803049\/205910)\/((-2)\/20)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -3 (c) -3\/5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 236 - 79 + 2*c - 125. Let h(v) = -v - 13. What is 5*d(j) + 12*h(j)?\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 0 + -3 + 1 + 7. Which is the biggest value? (a) 7 (b) -2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 15*v**2 - 101*v + 8. Let f be u(-5). Suppose 2 = -3*i - f, a + i + 86005 = 0. Round a to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119839 is divided by 1712?\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567647.9ng to tonnes.\nAnswer: 0.0000000005676479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5244 (b) -1\/2 (c) -2\/21 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 474587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 104*r**2 + 205*r + 69. Calculate u(-102).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z + 5*z + 15*z - 2*z to the form x + v*z and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 8*p**2 - 25*p - 123. Calculate u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 5. Let q be o(7). Let n(z) = z**3 - 2*z**2 - z - 3. Let c be n(3). Let g(l) = 3*l**c - l**3 - 2 + 0*l**2 + 3*l**2. Calculate g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -509 - -c5c7?\nAnswer: c0bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 4 + 9 - 8)*(6 + 1 + 18).\nAnswer: 100*z**3 - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (680\/50 + -14)*5*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*a**3 + 220*a**3 - 95*a**3.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (5 - 3) - (-2 + 4)) + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-4)*7848\/2289?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22400076.7999953 - -22400073. Let f = -3.8 - z. Round f to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-j + 0*j + 0*j) - 38*j - 4 + 31*j + 6.\nAnswer: -6*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35598 (base 12) to base 5.\nAnswer: -4243214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 + -100. Is 25 a factor of 3*b + (2 - -4)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 16*m**2 + 5. Let h be t(-16). What is the first derivative of 8 + 21*z**4 - 4 - 3 - h wrt z?\nAnswer: 84*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.44058 (c) 2\/17 (d) 0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256 - -652. Suppose 2*g = 8*g - z. Suppose -6*v + g = -3*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/(-1*sqrt(8))*-3 + 2 + (sqrt(4050)*-1)**2 + -2.\nAnswer: 15*sqrt(2) + 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.81 - -0.81. What is the second biggest value in n, -0.375, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0800102 + -0.08. What is u rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161635 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514663 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479771 is divided by 174?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 4, -0.8.\nAnswer: -1, -0.8, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 706*h*p**2*u**3 + 3*h*p**2*u + 2*h*p*u**3 + h*p*u - 11*h*u**3 + 2*p*u wrt p.\nAnswer: 1412*h*u**3 + 6*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.93 rounded to the nearest 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i**2 + i. Determine m(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(216) + (sqrt(112) + -2 + sqrt(112))**2 - sqrt(35)\/(sqrt(5)*-5)*4.\nAnswer: -931*sqrt(7)\/30 + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-8)\/(-96) + 1\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497933707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15851 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from zccmchddqqqm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 11.36. Let t = 4.2 + b. Let q = t + 5.16. What is the closest to -2 in -3, q, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.066 + 2.066. What is the second biggest value in 1, -2\/5, j, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4655768 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 2\/5 (b) 0.2 (c) -3 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1\/4 (c) -68 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:42 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27935 divided by -5100\nAnswer: -5587\/1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -169*m**5\/60 + 55*m**4\/24 + m**3\/6 - 98*m**2. Find the second derivative of g(o) wrt o.\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/14 - 5\/2. Let g(s) = -133*s + 3. Let l be g(4). Let v = l - -4778\/9. Find the common denominator of v and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 6*d**2 - 25*d + 76. What is n(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 19*k - 58. Let t(f) = -2*f - 1. Let l(v) = 4*t(v) + x(v). What is the lowest common multiple of 10 + (3 - (-4 + 7)) and l(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 8. Let j = 49.61 - 50. Let y = 0.39 + j. Which is the second biggest value? (a) 3 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(3 - (-11)\/(-2)). Suppose 3*v = -v + 5*n - s, 0 = 2*v - 3*n + 5. Calculate the common denominator of 37\/22 and -3 + (89\/v - -2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/9182883 and 133\/23238.\nAnswer: 55097298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(3\/5)*f))**(-2\/13)*f**(-2)*f\/(f\/(f\/f**2*f)) assuming f is positive.\nAnswer: f**(-134\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 267.00000284 - 267. Round k to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462893421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**4 - 3653*l**3 - 7809*l**2?\nAnswer: -120*l - 21918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11722328137 - -11722327955.999999075. Let m = -181 - t. Round m to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -32*g**2. Let l(j) be the first derivative of 2*j**4\/3 + 120*j - 21. Let z(q) be the first derivative of l(q). Determine z(u(s)).\nAnswer: 8192*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37490239 is divided by 221.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23222 (base 5) to base 14.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 + 3*f - 19. Calculate d(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-25\/4)*r*r\/r**(-36)*r*(r**19*r)\/(r*r**(-1\/7)) assuming r is positive.\nAnswer: r**(1453\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -6*i + 35. Suppose -25 = 3*w - 2*z + 11, 2*z = -i*w - 62. Let j be (-27993)\/w - 2\/(-4). What is j rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2341.2 - -2342. Put j, -2\/3, 3\/7, -16, -2 in decreasing order.\nAnswer: j, 3\/7, -2\/3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2713*c*j*z**2 - c*j*z + 3*c*j + 42*c*z**3 + c*z + 5*c + 2*z + 82 wrt z.\nAnswer: 5426*c*j + 252*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, 18, 5, -465 in decreasing order.\nAnswer: 18, 5, -250, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -17090967\nAnswer: 1709096.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*b = -b - 16, -5*l - 5*b = -25. Let q(j) = -j**2 + 3*j + 2. Let w be q(l). Let x be ((-1)\/2)\/(w\/(-6)). Which is greater: x or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(0 + 4\/20). Let h = r + 32. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.088 bigger than -360.126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 4*h**2 - h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5)*b)**(2\/11) assuming b is positive.\nAnswer: b**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -2053*o**8\/336 + o**7\/105 + o**5\/5 - 77*o**3\/6 - 17*o**2 + 44*o. Find the third derivative of i(n) wrt n.\nAnswer: -123180*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3366, -3529, -3692, -3855, -4018, -4181?\nAnswer: -4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 10*r + 2268 = -0*r. What is the greatest common divisor of 1944 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 95177622.\nAnswer: -95177623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = r - 4*u - 820, -4*r - 3*u + 314 = 0. What is the remainder when 126 is divided by r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 - 220*r**3 - 3108*r**2 - 2468*r + 5800 = 0.\nAnswer: -29, -25, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n + 18. Let u(v) = v - 1. What is s(q) + 18*u(q)?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 18 + 0*z**3 + 1214*z**4 + 23 - 1213*z**4 to the form o*z**2 + b + n*z**4 + g*z + m*z**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:59 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -324030455?\nAnswer: 324030453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*c - 2)*(5 + 17 - 2).\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*n - 4*n. Let j be (9 - 6) + 0 + n. Calculate the greatest common factor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 23, -0.01, 4, 0.5, 0.02?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3421926954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/30 + 1\/(-3). Suppose -5*s + 8*s - 12 = 0. What is the common denominator of o\/(-8)*(-10)\/s and 29\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from nznnnnnnnnnnnnnnnnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/17 + 33\/34. Let i(c) be the second derivative of -c**3\/6 + 2*c**2 - c. Let d be i(4). What is the biggest value in w, d, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 41. Determine s(22).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5284, -26433, -61680, -111025, -174468, -252009, -343648?\n\"Answer: -7049*l**2 - 2*l + 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*n + 7, -3*g + 4 = g. Suppose 0 = -0*h - 2*h + 3*l - 9, -n*l + 2 = 0. What is the remainder when 35 is divided by 8\/(-12) + (-38)\/h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 5, 4, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50*2)\/10*(-3)\/(-12)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-1 + sqrt(272) + 2)**2 + 3 + ((sqrt(272) + -1 + 2*sqrt(272))**2 - (sqrt(272)*-1*-3)**2) + 0.\nAnswer: -24*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3 + 7*y**5 + 0 + 7*y**4 + 2 + 2*y + 0. Let f(l) = -21*l**3 + 36*l**4 + 25 + 35*l**5 + 11*l + 25 - 39. Let n(q) = 2*f(q) - 11*x(q). Factor n(d).\nAnswer: -d**3*(d + 1)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 4*p + 0 + p)*(4 - 2 - 4)*(0 + 1 - 3).\nAnswer: -12*p - 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234\/(-546))\/(((-15)\/((-420)\/8))\/((-6)\/(-21))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -35.71. Let n = 7.21 + g. Round n to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:40 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.1685 + 1.0805. Let w = y - -0.088. Let s = w - -35.76. Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1243, -2418, -3591, -4762?\nAnswer: -5931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 2, -2, 5 in decreasing order.\nAnswer: 5, 2, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.27 - 0.73. Let b = a + 59.9. What is the second smallest value in 1\/5, b, 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -3\/8, 114?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113, 115, 127, 155, 205, 283?\n\"Answer: g**3 - g**2 - 2*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d + 7 - 3 - 5 - 16*d - 3.\nAnswer: 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 126 = w. Let y be 42\/15*(-2295)\/102. Is w at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1011022022?\nAnswer: -1011022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48795 - 89405. What is m rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 51*x**2 + 543*x - 595.\nAnswer: (x - 1)*(x + 17)*(x + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 60.51598um?\nAnswer: 0.00000006051598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-10)*13\/26*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from vnzoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32616 and 2376?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5399*z**6 - z**4 + 5965*z**3 - 376334791*z**2.\nAnswer: 647880*z**3 - 24*z + 35790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56744431 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*t + d, -5*t - 12*d = -15*d - 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 76\/3 (c) -10.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1201 + -615. List the prime factors of a.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 - (-75)\/(-50). What is the smallest value in 4\/5, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123428 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -2. Suppose -57*g + 42*g = -660. Let m = g - a. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/112*-8)\/(2*1\/28)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7472, 10326, 13190, 16070, 18972, 21902?\n\"Answer: r**3 - r**2 + 2850*r + 4622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23164426?\nAnswer: 2, 41, 282493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m**2 + 950*m + 445. Determine l(0).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78873554 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.06 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.965 - 29.055. Let q = 0.74 + -30.74. Let m = q - h. Round m to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 9 = -19. Is 20 + -4 + -5 + l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-6)*(-105)\/20. Suppose k - 14 = b. Let j = k + -14. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5939975 and 13250?\nAnswer: 59399750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 2 - 33 - ((3 - (2 - 3)) + 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 225238 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3 + 616*v**2 = 0.\nAnswer: -308, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -31*z**2 - 24*z**2 - 30*z**2 + 83*z**2. Let d(h) be the first derivative of 0*h + 1 - 1\/2*h**2. Give o(d(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4295973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 112*h + 29. List the prime factors of p(3).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 - (7 - (8 + 0 + -1))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 85004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1121 = -4*h - 6*b - 1143, 4*b = 4*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-342))\/((-128)\/768)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**5 + 5*c**5 - c**5)*(1 + 4 + 3) + (6 - 6 + 6*c)*(2*c**4 - 2*c**2 + 2*c**2).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 2415720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/26)*l)**(1\/13))**(-21) assuming l is positive.\nAnswer: l**(-567\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*r + 564, -4*l = -7*l - 4*r + 421. Suppose 3*h - 181 = -4*q, -23 = 2*h + 2*q - l. Is h 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 10:51 PM and 10:07 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48862.\nAnswer: 2, 11, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/4 - (-13)\/78.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + -3 + 3. Let p(m) = -m + 2 - 3 - 492*m**3 + 497*m**3 - m**2 + 2. What is p(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(512) - (-1 + sqrt(512)))**2 + (sqrt(512) - (1 + sqrt(512) + -1))**2) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:22 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 30. Suppose 6453 = 26*g + 6895. What is n(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8027 greater than or equal to -8042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-21)*(135\/35)\/9*-5\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w**4\/4 + 57*w**3\/4 - 68247*w**2\/4 + 87639*w\/4 - 9735\/2 = 0 for w.\nAnswer: -59, 2\/7, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 15*p - 6. Let w be d(-7). Let g be (w\/9)\/(8\/1380). Round g to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u, -3 = n - 3*u - 10. Calculate the remainder when 208 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44.21 - 44. Let d = 2.21 - c. Sort d, -0.7, -0.2 in increasing order.\nAnswer: -0.7, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 43169\nAnswer: -43169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + (-5 - (2 + -4)). Suppose 0 = 4*h - f*o - 111, o = 3*h + 5*o - 60. Let b = -10 + h. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0)**(2\/27)\/(f**(1\/3))**(-20) assuming f is positive.\nAnswer: f**(182\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2559 = 117*i + 804 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*k - 9*s + 100, -65 = -2*k - s. Suppose -62*o + 41370 = -k*o. List the prime factors of o.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4*(-2)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 35*t**3 - 36*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 407250 and 150?\nAnswer: 407250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1172278*l + 321*l**2 - 2 + 1 - 1172280*l + 2*l**2 + 0*l**2 + 0*l**2 + (-2*l + 3*l - 2*l)*(4*l - 4*l - 2*l) in the form h*l**2 + t + o*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*y - 24 = 0, -1490 + 1518 = -4*i - 4*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12567 = 12558. Let l(h) = -16*h**3 + 3*h - 1. Let k(u) = 17*u**3 - u**2 - 4*u + 2. Give r*l(a) - 2*k(a).\nAnswer: 14*a**3 + 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 17636402?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248.10441 seconds to minutes.\nAnswer: 4.1350735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*j**4 - 1 + 2*j**4 + 0*j**4 - 7*j**4 + (1 - 1 - 1)*(-5*j**4 + 3*j**4 + 0*j**4).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(1*(-2)\/5). Let g = -10 - w. Suppose 0*s + 4*s = 5*j - 35, 0 = g*j + 4*s + 5. Solve 2*d + j = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2980 - -3539. Calculate the highest common divisor of c and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1) - (-36)\/6 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -168, -261, -354?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(-12 - 3*v - 17 + 7) + 5*v**2 - 19 - 17 + 37.\nAnswer: 2*v**2 - 22*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 88*r + 2. Let v(z) = -2*z + 1. Determine h(p) - 4*v(p).\nAnswer: 96*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -34560 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 372, 1493, 3368, 5997, 9380, 13517?\n\"Answer: 377*y**2 - 10*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 - 9*x. Let r = 6 + -11. Let b(g) = -2*g**2 - 2*g. Let y(i) = r*v(i) + 24*b(i). What is the second derivative of y(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1983 divide 100625352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4*s - 29 = 0, 10*z + 5*s + 31 = 6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 402, 961, 1734, 2715?\nAnswer: 3898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -122002202?\nAnswer: 122002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 10 = -2*a, -29*d + 56*d = 31*d + a - 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) -0.5 (c) -4.3 (d) 20\/247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 - 4*v - 4. Let q be j(-6). Calculate the greatest common divisor of 220 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 12*m - 8. Suppose 4*r + 56 = -3*w, 2*w = 2*r - r + 3. Let j be f(r). Solve -5*h + 9 = -j*z, -5*z - 4 = -2*h - 4*z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 - t**2 - 5*t - 5. Let q be l(-4). Suppose -3*j = 2*j - q. Suppose -91 = -3*v - 4*s, j + 52 = 5*v - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319718 is divided by 53286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 668 = s, 8*s - 4*s + 3*j = 2659. What is the greatest common factor of s and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 288 - 252. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18260 and -109\/12782?\nAnswer: 127820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -513\/296 + 4\/37. Calculate the common denominator of h and 9\/(-12) + (-1)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1577365 and 9.\nAnswer: 14196285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -101 - -111 - (-3 - -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - (-68 + 47) - (3 + (-2 - -11)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23195*s + 21795*s + 2800 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 18. What is the tens digit of n(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.16 - -0.383\nAnswer: -1.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -18*x**3 + x + 1. Calculate the least common multiple of h(-1) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i + 20. What is the units digit of (6\/i)\/(2\/(536\/6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*t + 6*t - 8 = 0, u + 4 = t. Let k be ((-1)\/u)\/((-5)\/270*-3). Is 0.1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57294*l**3 - l**2 + 3*l - 781 wrt l.\nAnswer: -343764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4 - 1 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.02051ml?\nAnswer: 0.00502051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2703 + -1048. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (60 - 22)) + 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b6868 (base 13) to base 5\nAnswer: 41010131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 + 5*b + 9. Let p be n(7). Sort 8, p, -2, 0 in descending order.\nAnswer: 8, 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**6\/120 - 7*b**5\/20 + 5*b**4\/6 + 9*b**3\/2 + 3*b**2. Does 9 divide h(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 minus -0.02209?\nAnswer: -82.97791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3\/(((-27)\/(-10))\/9). Suppose -95 = -3*b + 4*j, -2*b + 35 = -0*b + 3*j. Calculate the greatest common divisor of b and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79127810 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 m = 1\/21 + 2\/7. Let g(b) be the first derivative of -m*b**3 + 3\/2*b**2 + 1 - 2*b. Factor g(y).\nAnswer: -(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-52)\/(-14). Let g(r) = -1349997*r + 4. Let c(p) = 2699995*p - 8. Let v(w) = 4*c(w) + 7*g(w). Let f be v(x). Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1369 - 1949 + 3318 + 33*h.\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + (6 - 3))*0 - 10. Let a = 104 + h. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 6. Let m be r(-7). Let x = 0.96 - 1. Let f = x - 0.36. Put 2\/7, f, m in decreasing order.\nAnswer: 2\/7, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 76 - 2)*6. Suppose -3*j - j - j = 0. Suppose 5*v + 5*w - f = j, -5*v + w + 432 = -0*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -1\/3*h**2 + 70\/3 + 11*h = 0.\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023589 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9951 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a = 240. Let z = -37 - a. What is the remainder when z is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15469, -30503, -45495, -60445, -75353, -90219, -105043?\nAnswer: -119825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*h - 4*h - 16, 4*h + 6 = -f. Suppose 38 = 2*j - j + f*i, 4*j - 2*i = 102. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-52)\/8 + 8)\/(2\/88). Calculate the common denominator of (-64)\/s*(-4 - 155\/(-50)) and -81\/2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 12. Let y be i(-10). Let h = y + 8. Suppose -3*n - h*x + 2*x + 11 = 0, 2*n + 2*x - 10 = 0. Solve n = -3*v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 4*f**4 + 3*f**3)*(4 - 2 + 1)*(2 + 2 - 2).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 17 + -23 - (2 + (-1 - 16)). Solve 39 = -a*j - 36 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 1684*s + 76 - 1611*s)*(107*s**3 - 107*s**3 - 4*s**4).\nAnswer: 13180*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243036597 is divided by 2850.\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2038 is divided by 679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4 + -1 + sqrt(175) + -2 + 5)*-2)**2.\nAnswer: 720*sqrt(7) + 2532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from {q: 5, b: 14}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 182\/67, 1\/2, 5 in ascending order.\nAnswer: 1\/2, 182\/67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m - 10. Let x be c(-8). Let d = 132 + x. Differentiate 8*n + 6*n + d - 90 with respect to n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzxxmpy. Give prob of sequence mp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7030 - -15815. Let i = 4\/2252177 - -119052328373\/13513062. Let j = n - i. What is the common denominator of j and 61\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwpwwpww. What is prob of picking 1 w and 1 p?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 4*m - 36, 0 = -z + 20*m - 18*m + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 498435 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 + 6 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3890*y - 10506. Calculate m(-3).\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c. Let r(k) be the second derivative of 4*k + 1\/3*k**3 + 0 + 0*k**2. Determine r(x(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {e: 2, k: 1, d: 1, q: 1, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8190 and 37\/2540.\nAnswer: 2080260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -486.37*0.014\nAnswer: -6.80918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 2*u**6\/3 - u**5\/15 + 91*u**4\/3 + 966*u**2. Find the second derivative of n(p) wrt p.\nAnswer: 480*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:35 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22 - 18 - ((-2)\/(-4) + -1)*51008. What is the greatest common divisor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((((-2*sqrt(228) - sqrt(228))*-3)\/(sqrt(1200) - sqrt(1200)*-1) + -5)*2)**2*2 + -2.\nAnswer: -36*sqrt(19) + 11539\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6) + (-20)\/(-12) + (-3 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 + 135. Suppose 4*s - 1 = 7, i = 5*j - 5*s + 85. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819093655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 44 + 35. Suppose c*j = -788 + 32. Is j at most -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-60) + (-3)\/4. Let b(c) = c**3 + c**2 + 2. Let k be b(w). Differentiate -6 - 2*p**3 - k*p**3 + 0 + 4 with respect to p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/3))**(-12)\/((j\/((j\/j**(-2\/3))\/j))\/j*j)**(1\/17))\/(((j\/(j**(-5)\/j*j)*j)\/j**8)\/((j**(-6)*j)\/(j\/(j\/(j**(-2\/5)\/j))))) assuming j is positive.\nAnswer: j**(-5768\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q**2 + 39*q + 5. Let y be h(4). Which is the biggest value? (a) 3 (b) -1\/9 (c) -1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*v - o - 28, -21 = -12*v - 3*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.29 (c) -0.04 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.51 + 61859755787?\nAnswer: 61859755788.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 + 30*p**2 + 9*p - 27. Calculate the remainder when 944 is divided by k(-9).\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-325*u - 4*u**4 + 1 + 325*u + 2*u**5 + u**2).\nAnswer: -4*u**5 + 8*u**4 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3, -92*m + 3*y - 5551 = -93*m. List the prime factors of m.\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6168 is divided by 507.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -85. Suppose -p*n = -1204 - 232. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + q = -8 + 20, -4*q - 16 = 0. Let y = z - -10. Is 489\/3 - 4\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6488 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.072831+-39\nAnswer: -39.072831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**2 - 34*u**3 + 15*u**3 - 2*u - 22*u**2 wrt u.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 744 * -3\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18020 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygg when three letters picked without replacement from {g: 4, b: 3, m: 1, y: 5, e: 4, l: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 14, p: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 351 + -16561003?\nAnswer: -16560322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 506.\nAnswer: 5\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y**2 - 5*y + 18. Let j = 121 - 126. Let c(d) = -2*d**2 - d. Let t(i) = j*c(i) + g(i). Let o(x) = -2*x**2. Determine t(o(n)).\nAnswer: -20*n**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -0.07, 0.2, -4, -2\/5 in descending order.\nAnswer: 36, 0.2, -0.07, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*h**5 + 7*h**4 + 56*h**3 + 200562*h**2.\nAnswer: -4140*h**2 + 168*h + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*z**5 - 22*z**4 + 30*z**3 + 22*z**2 - 4*z = 0. What is z?\nAnswer: -1, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 554964962 divided by -6?\nAnswer: -277482481\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3b2 (base 13) to base 7\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 30, -55, 3.\nAnswer: -55, -1, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/3, -3, -4.1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + w - 21 + 1)*(5 + 2*w - 7*w + 4*w) in the form z + x*w + i*w**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1778057, -1778064, -1778073, -1778084, -1778097, -1778112?\n\"Answer: -w**2 - 4*w - 1778052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 6*c**3 + 2*c**3)*(0 - 3 + 2)*(-2 + 0 + 1).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 5. Suppose -h*a + a = 0. Suppose a = -f + 6 + 22. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 + 10*s**2 + s - 35. What is v(4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24916*h - 24197*h + 5752 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*l = -0*d, d = 3*l. Let m = d + 3. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 8 = -88 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989101?\nAnswer: 71, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(102) - sqrt(102)*2*5) + sqrt(102) - -1*(sqrt(102) + 2*sqrt(102)))\/(1*sqrt(6)*-6 - sqrt(12)\/(sqrt(2) + 2*sqrt(2))))**2.\nAnswer: 95625\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 4*t**3 - 1 + 2*t**3 + 3*t**3. Let b be k(1). Is 3 a factor of b\/(-2)*-6 - -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*v - 134, -q + 26 = -0*q - 5*v. Suppose k = -k + 52. Let j = q - k. Solve -5*u + 17 = -3*r - j*u, 4*r = -u - 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45882713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246 + -162. Let x(k) = -6*k + 197. What is the remainder when d is divided by x(30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + 0 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4, 0, -5, -156, 8 in decreasing order.\nAnswer: 8, 4, 2, 0, -2, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(931).\nAnswer: -1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 - 8 = 0. Let q = 36 + -30.2. Let s = 1.8 - q. What is the closest to 0.1 in p, s, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - sqrt(98)\/sqrt(2)*4)\/sqrt(7).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-1))\/1*5\/1770. Do j and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let k(a) = 2*a + 3. Let z(b) be the first derivative of b - 3. Let o(q) = k(q) - 3*z(q). Calculate r(o(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32548, 32546, 32544?\nAnswer: 32542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4589.826 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 3*p**2 - 3*p**2)*(6*p - 3*p - p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-132)*((-16)\/(-4))\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, 4\/5, -0.01, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(4\/33)\/(c**(-12)\/(c**(-1\/6)\/c)) assuming c is positive.\nAnswer: c**(241\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/28*1344\/(-480)*220\/(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 990822358505?\nAnswer: 990822358504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 162 = -3*q. Suppose d - 93 = -4*j - 0*d, -d + q = j. Let g(l) = -j*l**2 + 32 - 32. Let k(x) = -2*x. Calculate k(g(y)).\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.81 + -4.3. Let v = -0.11 + x. Let p = 2202\/737 + -188\/67. Which is the closest to p? (a) -3 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*z**3 - 90*z**3 + 3*z**2 - 91*z**3 - 3*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 51*t + 307 = -54*t, 5*i - 5*t - 770 = 0. Which is smaller: i or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 17. Let s be q(10). Let y(o) = 166*o - s*o - 14*o. Let p(c) = c. Calculate p(y(r)).\nAnswer: 139*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*r - 142, 87 = -17*r + 14*r - 3*p. What is the remainder when 276 is divided by 0 - 74\/(-7) - r\/(-49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 28 (b) -4 (c) -0.3 (d) -0.2 (e) 3\/7 (f) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-24) - 497\/(-284))*1*10. Let r(g) = g**3 - 9*g**2 + g - 6. Let t be r(9). Solve 0 = -t*u - j + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(sqrt(189)*-1 + sqrt(189)))\/(sqrt(108) + 6*sqrt(108)*1 + sqrt(108) - (sqrt(108) - sqrt(108)*2)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let v be 1 + (-197 + -2)*-1. What is the common denominator of (3 - p)\/((-28)\/v) and 103\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/5 + 57926278*w\/5 - 838863420733321\/5 = 0.\nAnswer: 28963139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183206 to the power of 1\/2, to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 23*m - 4. Let n(d) = -3*d**2 + 24*d + 4. Determine -3*n(a) - 4*q(a).\nAnswer: -3*a**2 + 20*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x + 2. Let w(i) = -i - 1. Let k(d) = r(d) - 4*w(d). Let h(l) = 2*l**2. Determine h(k(c)).\nAnswer: 8*c**2 - 48*c + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21535250 (base 6) in base 8?\nAnswer: 2366356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = 3. Let j(c) = 3*c**2 + c - 1 + 6*c**u + 94*c**3 - 3*c**2. Let d be j(1). What is the greatest common factor of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255*d**5 + 209*d**4 + d**2 + 2026980*d wrt d?\nAnswer: -15300*d**2 + 5016*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/388 and 77\/24.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 9. Suppose -7 = 3*h + 4*l, f*l + 3 = -2*h - 3. Solve 0 = -h*g - 3*q, -2*q + 1 = 4*g + q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -278*j**7 + 2*j**3 - 33*j**2\/2 - 697. Find the third derivative of w(t) wrt t.\nAnswer: -233520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b - 24*b - 1008 = 0. Calculate the remainder when 1042 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(-23*p**2 + 95 - 95) + 0*p**2 + 2*p**2 - 5*p**2 + 4*p to the form k + o*p + j*p**2 and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 10:45 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1403 - -499?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let j(b) = 66853*b + 47. Calculate j(t(o)).\nAnswer: 66853*o + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 8*x**2 - 1. Let t be u(8). Suppose 0 = -5*d - 25, 2*j + 5*d = 3*d - 44. Let c be (-1)\/4 - j\/36. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times -0.14?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4\/4 + 12447*m**3\/4 + 75051*m**2 + 263487*m - 2453724 = 0.\nAnswer: -14, 4, 4173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Suppose o*i + 4*z - 16 = 0, 0 = 5*i - 4*z - 17 - 12. Let r(s) = s**2 - s - 2. Let y(d) = 2*d**2 - 2*d - 4. Give i*r(n) - 3*y(n).\nAnswer: -n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/66040 and -63\/42736135.\nAnswer: 341889080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7202 is divided by 67.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*d**4 - 481343*d**3 - 8273065371*d**2 + 55570389355*d + 16552595150 = 0. Calculate d.\nAnswer: -34385, -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-1)\/(-12)). Suppose -4*g + 0*f = y*f - 692, 3*g = 3*f + 501. Suppose 3*a + 5*c - 134 = -0*c, 5*a = 5*c + g. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44824290 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:37 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135*c + 135*c - 45*c**2)*((-5 + 3 + 7)*(1 + 0 + 0) - 4 - 1 + 4)*(2 - 1 + 1)*(4*c**3 - c**3 - c**3).\nAnswer: -720*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -8, -5, -14.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 138*f**3 + 408*f**2 - 406*f + 135.\nAnswer: (f - 135)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117019153 to the nearest integer?\nAnswer: 10818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 141, 152?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87259396 is divided by 509.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 x when four letters picked without replacement from {x: 2, r: 1, u: 1, q: 2, w: 5, g: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*-178.\nAnswer: 23.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - -1 - (-23 + 30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + c - 7. Let o be f(6). What is the units digit of 12\/(-18) - o\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 5*y - 3*u + 13, 0 = -2*u - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 935?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41987\/7 or -5998?\nAnswer: -5998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 617830703 to the power of 1\/3, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, b: 3, c: 2}. What is prob of picking 2 k and 1 b?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + 25. Suppose -3*d - x = 2*d - 3*w, -d + w = 12. Let f be 2\/d + (-50)\/(-8). Solve 5*q - f = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -17*g + 142. Let y(n) be the third derivative of n**4\/8 - 4*n**3\/3 + 5*n**2. Determine y(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 9*j - 2. Let r(b) = -3*b**2 + 26*b - 5. Let o(f) = -11*d(f) + 4*r(f). Let y be o(5). Solve y*g - 7*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191434 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 2, d: 1, u: 4, e: 2, g: 2}. Give prob of sequence egqu.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 10*l + 36. What is c(-17)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(608)*1 - (sqrt(608)*-1*6 + sqrt(608)))\/(-2*(sqrt(2) + (sqrt(2) - sqrt(2)*-1)) + sqrt(64)\/sqrt(8)).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183 is divided by 63?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -78258000 to the nearest one hundred thousand.\nAnswer: -78300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55270021 and 4174.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198347870.\nAnswer: 2, 5, 7, 2833541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*1 - sqrt(180))\/sqrt(3))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 2528*t + 55495\/2.\nAnswer: (t + 11)*(t + 5045)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 186, 11, -5, 2, 17 in descending order.\nAnswer: 186, 17, 11, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3570)\/(-21)*(-7 + 5))\/((-3)\/615)?\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 2*i + 0*i**3 + 1\/4*i**4 + 0*i**2 + 0. Let v(w) = -3*w. Give f(v(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Suppose -o - 8*o = -36. Which is the third biggest value? (a) p (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -235\/3 != -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 12728.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 + 4 = 0. Suppose -f*p + 20 = -40. Find b such that -5 + 3*b**4 - b**4 + 3*b**4 + p*b**3 - 10*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 215*a**6\/2 - 359*a**3\/3 - 66. What is the third derivative of d(n) wrt n?\nAnswer: 38700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s**2 + 13*s + 7. Let r(u) = -4*u**2 + 7*u + 3. Let j(k) = -3*b(k) + 5*r(k). What is j(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.04, 305628\/65?\nAnswer: 305628\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2. Let i(u) = 11*u + 17. Let p be 2 + (0\/2 - -7). Let r be (p\/(-6))\/(6\/(-136)). Let c(b) = 2*b + 3. Let t(l) = r*c(l) - 6*i(l). Give t(z(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396803.\nAnswer: 11, 36073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -5304?\nAnswer: -5320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000121959 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:18 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 167, 270, 373, 470, 555, 622?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 19. What is the closest to h in 0.5, 5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:21 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3364 or -3284?\nAnswer: -3364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1193 and 1300606.\nAnswer: 1551622958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/(5\/(-30)*3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -3, -172, 4, -0.49, 3, -2 in increasing order.\nAnswer: -172, -3, -2, -0.49, 1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 892381 take away 62336?\nAnswer: 830045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 3614*h + 3620*h - 7264*h in the form v*h + k + x*h**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -839, -1270, -1717, -2186?\nAnswer: -2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 654666 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1090, -1058, -1004, -928?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8333 (b) -3.7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 2*c - 2. Let s(q) = -84*q**2 + 36*q + 39. Let d(u) = 251*u**2 - 107*u - 115. Let l(x) = -3*d(x) - 8*s(x). Determine -4*l(w) - 66*n(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225327 (base 9) to base 2.\nAnswer: 100000111111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-28))\/(4\/(-28)). Find d, given that d - 4*d - d**2 + c*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478208, -478085, -477962, -477839, -477716?\nAnswer: -477593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, o: 1, m: 5, u: 4, z: 3, c: 1}. What is prob of sequence mmec?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*p + 15*p - q - 13, -4*q = p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 418986.9 millilitres?\nAnswer: 418.9869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r - 11*r - 5*r**3 - 15*r + (2*r**2 - 2*r**2 + r**2)*(-4*r + 6 - 6) - r**3 + 2*r**3 + 0*r**3 as j*r**2 + l + v*r + s*r**3 and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*w - 10*b + 6177, 2*w - b = 3099. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pav when three letters picked without replacement from pkpzlav?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -51*x**2 + 13*x + 2. Let a(v) be the second derivative of v**4\/6 + 1856*v. Give g(a(f)).\nAnswer: -204*f**4 + 26*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -43589, 51 in ascending order.\nAnswer: -43589, -7, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13203 (base 5) to base 7\nAnswer: -3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1021440\/855)\/448*1\/((-2)\/11)?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 + 3*t - 5. Suppose 0 = 740*s - 743*s + 6. Determine z(s).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + (-9 - 61170\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5749, 5302, 4123, 1846, -1895, -7466, -15233?\n\"Answer: -61*m**3 - 20*m + 5830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose -5*g + 14 = -d + 4*d, s*g - 8 = -2*d. Solve 14 = -d*j - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 102*(1\/2)\/(54\/324). Let h be (-408)\/s*(-1)\/6. Let t be (-1 + 0 + 0)\/(-3). Which is the closest to t? (a) -1\/3 (b) 0.02 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -72 - 2*o + 47 + 14 + 9*o. What is j(-5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdcdcfldcfldlddlf. What is prob of sequence dcfl?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 418\/(-1) + 12\/(-2 + -4). Let c = 428 + k. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1*(4269\/9*-1)\/(13\/(-351))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1690 + -1646. Calculate the remainder when 190 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 6, q: 1, y: 9, b: 2}. What is prob of picking 1 y and 1 b?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2820 and 2220?\nAnswer: 104340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsdb when four letters picked without replacement from {d: 3, b: 1, s: 1, k: 1, j: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*((p - p - p**3)*(13*p - 61*p - 13*p) + (1 - 1 + p**2)*(4*p**2 + 6 - 6)).\nAnswer: 130*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = b + 3, -15*d - 4*b - 59 = -47 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128\/11 - 618\/55. Does x = -171.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - t + 34 = -24, o - t - 14 = 0. Let f(i) = -2 - 23*i - 13*i + 38*i + o. What is f(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 6995 = -4*w, 4*t - 5*w = 27936. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 3*f**2 - 5*f - 1. Let w(i) = 10*i**3 + 16*i**2 + 26*i + 4. Let h be ((-27)\/(-432)*-16)\/((-1)\/(-2)). Calculate h*w(t) - 11*v(t).\nAnswer: 2*t**3 + t**2 + 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 461 + -458. Solve s*v = 5*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 884 + -2653\/3. Let f = 0.1 + 0.3. Which is the third biggest value? (a) 2\/11 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from llho?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*j = 573*j + 4364 - 56146 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 0. Let c(z) be the third derivative of -z**5\/60 + 11*z**4\/24 + 5*z**3\/3 + 4*z**2 - 11. What is the units digit of c(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-249)\/(-198) - (12\/(-9) - -2) and -57\/658.\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 + 63*n - 122*n + 58*n)*(-4*n + 0*n + n + 2 + (2*n + 2*n - 3*n)*(0 + 5 - 4) - 4*n - n + 6*n).\nAnswer: n**2 - 83*n + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -55 + -35 + 67?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*(-15 - 0). Let g = -7 + q. Let i be ((-2)\/(-3))\/((-2)\/(-6)). Solve -g*u = i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935470?\nAnswer: 2, 5, 139, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 190880 divided by -47720\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129\/172)\/((-99)\/(-24) - 3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4059 + 830 = 3*o, -1627 = -o - h. Is 35 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -0.1. Suppose -4*t + 2 = -2*t. Let j be (0\/2)\/(6 + -8). What is the closest to t in k, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 1942 = 1690 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 57*d = 15. Solve 0*q + d = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 284 - 237. Suppose a*w = 48*w - 1897. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29552286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1082 + -13081\/12. Find the common denominator of d and (-11011)\/1188 + (8 - 0).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtxjsuj. What is prob of picking 1 x, 1 u, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28375\/7 + 4054. Which is the nearest to 5? (a) 2 (b) g (c) 19\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-1)\/6*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c4b4 (base 15) to base 13.\nAnswer: -50011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8645036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 471*v\/2 - 73295.\nAnswer: (v - 685)*(v + 214)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(4)*4 + sqrt(132)\/sqrt(4)*-1)*2)\/((-1*sqrt(192) + sqrt(192))*2 + 2*sqrt(192)*-1).\nAnswer: -3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {x: 2, k: 4, u: 1, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 24. Let i be b(14). Suppose -1 = -4*d + 7. Suppose 10 + 0 = -5*q. Sort d, q, i.\nAnswer: i, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71, -262, -579, -1022?\n\"Answer: -63*d**2 - 2*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1246847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-5 + -1 - -34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 236*q + 12934. Calculate u(-152).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2. Let k(s) = -56*s + 3. What is k(z(v))?\nAnswer: -112*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 255 - 270 = 16*v, -3*v + 5*l - 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 458*n**3 + 612*n + 613. Calculate b(-1).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {f: 5, j: 4, q: 10}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 57 = 177. Let m be k\/12*(-2242004)\/(-3) + 2. Round m to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27739.7013 - -27748. Let x = b + -8.3. Round x to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -0.06, -1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*8\/28*4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + (0 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 - 57135*m**5 - 52*m**3 - 10*m**2 - 4572220*m + 6 wrt m.\nAnswer: -240*m**3 - 3428100*m**2 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 21*v**2 + 13*v + 8. What are the prime factors of c(21)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*m + 188*m + 714 = 108*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4064, -4071, -4090, -4127, -4188, -4279?\n\"Answer: -a**3 - 4063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 229*p**2 + 382*p - 36045. What is w(228)?\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v + 590 = 0. Suppose -4*u + v + 30 = 0. Do u and 38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14803950 to the nearest integer?\nAnswer: 3848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 - 273*c + 1611. Determine w(6).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 58508043\nAnswer: 1\/19502681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxxqqzqqqqxxxxmxzqx. Give prob of picking 1 m and 2 z.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/3 + 2*s. Suppose -11 = 7*w - 25. Suppose 2*y + 5*n + 23 = 0, y - 5*n = -w*n + 16. What is z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 13\/106348 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -11. Let c = -2 + g. Suppose -8*n = -5*n - 12. Calculate the remainder when n is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1221875625 and 1875.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -3, -17, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from rrlor?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3512, 7949, 12386, 16823?\n\"Answer: 4437*b - 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8143 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((24\/6)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c + 36152 = -66*c + 40306 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 + 0 - b + (-1 - 1 - 5)*(-42*b + 122*b + 27*b) + 2*b - 4*b + 3*b.\nAnswer: -749*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -33*b - 243. Let y be x(-8). Let t(g) = 23*g**2 + 48 - y*g**2 - 48. Let i(z) = -74*z**2. Give i(t(u)).\nAnswer: -296*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 42 - d + 55.\nAnswer: -d + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22510 - -2432304?\nAnswer: 2455214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/10 + (-2)\/20. Let f = t - -2\/5. Let s = 30191 - 30187. Put f, s, 1\/3 in ascending order.\nAnswer: 1\/3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 81740.\nAnswer: -3\/40870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 254*m**2 - 5 - 46*m - 259*m**2 + 31*m + 6 + 7 + m**3. Suppose 4*y = -6 + 34. Let n be p(y). Is 0 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22292214.\nAnswer: 2, 3, 7, 530767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 5*v**6\/6 + 11*v**2\/2 - 10. Find the second derivative of k(j) wrt j.\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2\/14)*(-1206)\/(-402)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1098029\/40 - 27449. Find the common denominator of b and -39\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/5 + -27\/20. Let m(t) = -3*t + 5. Let f(l) = 7*l - 9. Let g(b) = -4*f(b) - 9*m(b). Let q be g(-12). Which is bigger: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) -2 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48326\/12 + -14 + 14. Let v = d - 4003. Find the common denominator of v and -13\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 41 = t - 5*h, 2*t - 26 = 2*h. Let z be 371 + -1*(-14 - -1). Calculate the greatest common divisor of t and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - i**3 - 8*i**3 + 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 723.95414+0\nAnswer: 723.95414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h*i*o**2 + 2*h*i*o - 19*h*i + 22*i**2*o + 4*i**2 wrt o.\nAnswer: -4*h*i*o + 2*h*i + 22*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2168 - -3331. Let q = w + -1162.96295. Round q to three decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*k**6*o - 4*k**4*o**2 + 1376*k**3 + 2*k**2*o**2 + 17*k**2*o + 19*k**2 - k*o**2 + 306*o**2 wrt k.\nAnswer: 9600*k**3*o - 96*k*o**2 + 8256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 8 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3256*g - 12842. What is s(-5)?\nAnswer: 3438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 2392*t + 3813*t + 953*t + t**3 + 3*t**2 + 301*t.\nAnswer: t**3 + 3*t**2 + 7459*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k - 1. What is the units digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545324 to the power of 1\/2, to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 145*x**2 - 690*x + 359. What is k(-140)?\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/5 + 556*b\/5 + 77284\/5 = 0. What is b?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*b - 27*b - 34*b - 34*b - 41*b - 25*b - 18*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 4:32 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 - 324 = 70*f. Suppose 2*a + 2*a = -5*g - 16072, 16072 = -4*a - 3*g. Is 20 a factor of a\/f - -2 - 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, u: 6}. Give prob of picking 1 g and 3 u.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s - 1. Let a be m(3). Suppose -2*r - a*r + 44 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {j: 3, u: 2, k: 3, s: 1, w: 2, i: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056460808 to 7 decimal places.\nAnswer: 0.0005646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2\/5 + 6231*n - 31170 = 0.\nAnswer: -10390, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 198 = b, 5*m - b - 330 = -6*b. Let c = 71 - m. Suppose -4*q + c*r = -0*r + 38, 2*q + r + 26 = 0. Is -12 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeefeieeoefeexifxee. What is prob of sequence oex?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1006761, -2013519, -3020277, -4027035?\n\"Answer: -1006758*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147476 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 8*d - 13. Let z be k(-9). Let j be -4 - (-12 - z)\/2. Factor 27*u + 2*u**3 - 29*u + j*u**3.\nAnswer: 2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 1, g: 4, l: 2}. Give prob of sequence zg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27907 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: Simplify (sqrt(13) - sqrt(52)*-3)**2*2 - (-3 + (-1 + sqrt(52) - sqrt(52))**2 + sqrt(13)).\nAnswer: -sqrt(13) + 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/126*6*21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11534\/14305 - -18\/2861. Which is the closest to n? (a) -2 (b) -4 (c) -0.4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -888, -22, 5 in increasing order.\nAnswer: -888, -22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001606351 to 6 decimal places.\nAnswer: -0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 209 = -4*g - 2*j, 0 = -4*j + 4. Let t = 19 - g. Calculate the highest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -1\/6, 1348, 2, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 3504196?\nAnswer: 154184624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*q**2 + 221*q**2 + 172*q**2.\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 3*w + 1000 + 0*w + 991 + 1600 - 3591.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17433, -34864, -52293, -69720, -87145, -104568, -121989?\nAnswer: -139408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 680*c**2 + 19265*c - 19950.\nAnswer: 5*(c - 1)*(c + 42)*(c + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*b**2 - 48*b - 12.\nAnswer: -3*(b + 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/20 - k**4\/12 + 2*k**3\/3 - k**2\/2 - 2*k - 117. Give v(-4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 374 - 337.7. Let y = 36 - t. Sort y, -8, 0.2 in increasing order.\nAnswer: -8, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4793661.7 rounded to the nearest 10000?\nAnswer: -4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/6 + 4\/6. Let g(p) = p + 10. Let n be g(q). Suppose 0 = -0*a - n*a. Solve a*l = -2*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*v**3 - 33*v**3 - 30*v**3 + (4*v**2 + 3*v**2 - 5*v**2)*(3*v + 2*v - 3*v).\nAnswer: -79*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -1, 4, 1, 0 in increasing order.\nAnswer: -6, -1, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -0.5, 6705, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - i + 3889 = 10990, 2*i = z - 7094. List the prime factors of z.\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*r + 390, -3*r - 4*s = -185 - 72. List the prime factors of r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -125*d - 1918. Give o(-18).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**9\/27216 - h**8\/15120 + 2*h**3 + 13. Let w(p) be the third derivative of a(p). Factor w(q).\nAnswer: q**4*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/6 + 4 - 17\/(-17). Which is bigger: v or 12.88?\nAnswer: 12.88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + d + 8, -117589*j + 117593*j = -4*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31881 + 31878. Which is the nearest to 0? (a) o (b) -0.7 (c) -242\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 2, e: 2, v: 1, q: 4}. Give prob of sequence ueve.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 1318416.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/287 + -853\/1148. Let a be (0 + -6)*3*(-5)\/45. Is a <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/7 + 2\/(-7). Suppose -251 + 185 = -33*j. Solve -s*r - r = -5*n + 6, j*n - r = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 + 15*r**4 - 60*r**2 + 1259*r - 1 wrt r?\nAnswer: 20*r**3 + 180*r**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2. Let f(k) be the third derivative of 1\/6*k**3 + 0*k + 44*k**2 + 0 + 5\/8*k**4. Calculate f(w(d)).\nAnswer: 30*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w + 7. Let t(y) = 5*y - 6. Let v(h) = 6*r(h) + 7*t(h). Let s(c) = 17*c**2. Determine s(v(z)).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 55?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/35, 108, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, r: 4, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**3 + 2*v**2. Suppose 0 = -4*o - 2*t - 251 + 711, -5*t + 106 = o. Let x = o - 120. Let y(i) = 3*i**3 + 2*i**2. Give x*a(g) + 5*y(g).\nAnswer: -g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3487913888 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0*k**3 + 1\/15*k**6 + 0*k**5 + 0 + 0*k**2 - k - 1\/4*k**4. What is the third derivative of q(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1981.7 - 10913.7. Let k = 9067.29 + t. Let p = k - 136. Round p to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuuhhhuhuhhh. What is prob of picking 3 u and 1 h?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29990384 and 0.7?\nAnswer: 29990384.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, m: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 851 = -1331 + 1615 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47\/8 - -433\/24. What is the common denominator of 1 + 170\/36*-1 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4319 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 571375 and 914200.\nAnswer: 4571000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/26)*(l**(-27)\/l)\/l*l*(l**(-5))**(-12))**(-17\/4) assuming l is positive.\nAnswer: l**(-14161\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -48*i**3 + 40*i**2 + 7*i - 18. Let y(m) = 50*m**3 - 39*m**2 - 8*m + 20. Calculate 10*f(l) + 9*y(l).\nAnswer: -30*l**3 + 49*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(8\/3)\/g**(-3\/8)*g**(-5)\/(((g**14\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(-311\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84708.92 seconds to microseconds.\nAnswer: 84708920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (23 + -44 + 19 - ((10 - -1) + 1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 8*s**2 + s - 9. Let j be p(8). Let f = -19 + 38. Let t = 25 - f. Which is the third smallest value? (a) 0 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*d**2 - 122*c**2*d**3 + 45*d**3 - 4*d wrt c.\nAnswer: -6*c**2*d**2 - 244*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 - 221. Suppose 3*b - 5 = 70. Let c = b + r. Round c to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b + 18. Let d = b - 7. What is the tens digit of 25\/2*d\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 1374 + 2568. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9 - 1 - (8 - (-49)\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 5. Let f(c) be the second derivative of c**3\/3 - 11*c**2\/2 + 225*c - 1. Give -5*b(h) + 2*f(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28504 is divided by 136?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46\/((-6)\/336*-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 5*w + 2. Let q be f(-3). Sort -1, q, -4 in ascending order.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgq when three letters picked without replacement from gqqggggqgggqq?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -46)*-4*9\/6 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/11))**(-46) assuming c is positive.\nAnswer: c**(-598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/(v*v**(-3\/11)\/v))**(-1\/4)*((v**(3\/7)*v)\/((v\/(v**0*v))\/v))\/(((v*v**0)\/v)\/((v*v**(-4))\/v)) assuming v is positive.\nAnswer: v**(-197\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:24 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -97697.5221?\nAnswer: 97695.5221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/n**(-7\/5))**(-45)*(n**7*n*n\/(n*n*n**(-8)\/n*n))\/(n**(-1\/4))**(-14\/3) assuming n is positive.\nAnswer: n**(-2455\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*j + 362*j + 50*j.\nAnswer: 487*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 3779*z - 3779*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 2*n**2 - n - 1. Let k be t(2). Let i = 24 - k. Let q = 710 - 659. Calculate the remainder when q is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.8 in 0.4, -0.183, 5?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2853771 and 17525?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2186 or 2182?\nAnswer: 2186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-600)\/35)\/4)\/((-21)\/((-1764)\/(-24)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662890142.\nAnswer: 2, 331445071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(3872) - ((-2*sqrt(200))**2 + 5).\nAnswer: -807 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10220, 1, 4, -4, 31 in descending order.\nAnswer: 31, 4, 1, -3, -4, -10220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99960 and 539?\nAnswer: 1099560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 + 5 = 0. Let s(b) = 2*b**2 + 6*b + 3. Let k be s(-13). Let m(l) = 0 - 258*l**2 + k*l**v + 0. Let j(z) = 2*z**2. Calculate j(m(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/3 + 20597*b**2\/3 + 649198*b - 656064 = 0.\nAnswer: -20502, -96, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29341\/5 - (-210)\/(-1050)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (5\/(-30)*20)\/((-8)\/(-24)). Put k, 243, 4, 1 in decreasing order.\nAnswer: 243, 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*x + 1071*x + 868*x + 2998*x as j*x + m and give j.\nAnswer: 4873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1246616478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0*g**2 + 67*g - 1 + 8\/3*g**6 + 0*g**3 + 0*g**5 + 31\/6*g**4. What is the third derivative of q(y) wrt y?\nAnswer: 1920*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*182\/21 + -4 + 1. Find the third derivative of 6*d**2 - 32*d**2 + 40*d**4 - l*d**4 wrt d.\nAnswer: -840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gug?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let u(l) = -1 + l**2 + 3*l - 1 - 5*l - 3. Let x be u(3). Which is the smallest value? (a) n (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2496, 2354, 2212, 2070?\nAnswer: 1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Let h(a) = -a**2. Let i(p) = 2*d(p) + 5*h(p). Let z(y) = 60*y**2. Calculate i(z(n)).\nAnswer: -3600*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 0.2, -0.5, -1, -2, -142\/5, -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*h**2 + 107*h - 107*h + (3*h - 6*h + h)*((-3 + 0 + 1)*(3 - 4 + 3) + (5 - 4 - 2)*(0 + 3 - 1))*(2 + 2*h + 4*h - 4*h).\nAnswer: -23*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -54. Let s(f) = f**2 - f + 5. Let v be s(0). Put l, -4, v in ascending order.\nAnswer: -4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 152 = -7*f. Let r = f + 26. Solve 0 = 5*c - 3*u + 37, -r*c - 11 = -3*c - 4*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620666077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -39. Let k = h - 11. Let w = 4.3 - 0.3. Which is the closest to 2\/5? (a) w (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsx when three letters picked without replacement from {f: 1, z: 2, x: 2, s: 5, m: 1, g: 2}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -11 - 2625\/120) + 1\/(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -2.3. Let g(i) = 20*i - 2. Let p be g(6). Let f = -1060\/9 + p. Which is the closest to l? (a) 0 (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11955, 11955, 11947, 11925, 11883, 11815?\n\"Answer: -u**3 + 2*u**2 + u + 11953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 111229900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 6:25 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 47. Let p be (4768\/3)\/(c\/(-46875)). Round p to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiiiiiiiiiiiiiwi. Give prob of sequence ti.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/108 + 113\/540. Put -3, j, -3\/14 in descending order.\nAnswer: j, -3\/14, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7583169 + 1936831 = -2*n. What is n rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-35))\/(2 + 65\/(-35)). Suppose 83 = i*x - 127. Solve -11*w + x = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.647031 * 73.\nAnswer: -47.233263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9.2. Let m = j - 0.2000026. Round m to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125329987 to the power of 1\/2, to the nearest integer?\nAnswer: 11195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -172792, -345659, -518530, -691405, -864284, -1037167?\n\"Answer: -2*k**2 - 172861*k + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 80 - 152. What is the greatest common factor of i and 612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 202121222211?\nAnswer: 202121222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 82016 (base 9) to base 10\nAnswer: 53961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 17 = -5. Is (98\/i)\/(3\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -9, -6, 0.01 in increasing order.\nAnswer: -9, -6, -0.08, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 16*q - 49. Let d be y(-3). Let f be d\/(-12) + (-78768)\/(-54). Calculate the highest common divisor of f and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (5 - -7) - (1 - 1)) + 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114052, -456220, -1026502, -1824904, -2851432, -4106092, -5588890?\nAnswer: -7299832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61816 by -15454.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((-2)\/138). Let g = 812 + -810. Calculate the highest common divisor of g and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3261 - 3258. Let l(u) = 2*u**2 + 4*u - 1. Calculate the lowest common multiple of n and l(-7).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/12*(-75)\/10. What is the greatest common factor of 50 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12522 < -2\/11227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/6955 and 53\/55.\nAnswer: 76505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q - 7. Let m(y) = 7*y - 6. What is 5*g(h) - 6*m(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-8))\/((-12)\/32). Which is the nearest to -2\/9? (a) q (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12615 + -181635.\nAnswer: -169020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - -7 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/540)\/(21\/35)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 473 - 1?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/140)\/((-12)\/(-48)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 50 = -3*m, 3*x = -3*m + 19 + 14. Solve 50*r = 67*r + x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -23. Let b be 4\/12 - l - (-3)\/(-9). Suppose 15*w - 11*w - 4292 = b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.24, -0.2, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w + 13*w + 5*w - 27*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -722 + 722.0000381. What is y rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 + 147372*u**3 + 1769936412*u**2 + 6417517691524*u - 6153909392033520 = 0. What is u?\nAnswer: -12541, 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*q - 11*q**2 - 274*q + q**3 + 1 + 5 as b + c*q + f*q**2 + a*q**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 895691*n**5 + 5*n**3 - 5753131*n?\nAnswer: 17913820*n**3 + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13310 (base 4) to base 3\nAnswer: 200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*w + 3464*w = -87576 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -247409064 divided by 5890692?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c + 3. Let w = -8 - -11. Let y be h(w). Solve -4*u = -y*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16019182\/49 at least as big as -326922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2642, 5291, 7940, 10589, 13238, 15887?\n\"Answer: 2649*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 633700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/((t*t**(-32))\/t))\/t)\/t**(-40) assuming t is positive.\nAnswer: t**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.48 and -488?\nAnswer: 1210.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -27. Let j(w) = -w**2 + 5*w + 5. Let t be j(u). Suppose 0 = 4*x - t*x + 210. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1033823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-22))\/(15\/(-55)). What is the second biggest value in 1\/194, b, 3?\nAnswer: 1\/194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - -7. Let d = 59 + x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + j = v - 52, -4*j - 65 = -5*v. Let b = -7 + v. Let a(h) = h**3 - 6*h**2 - h + 8. Let t be a(b). Solve 0*n = -t*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 5428*f**4\/3 - 100216*f**3 + 845328*f**2 - 5668640*f\/3 + 914048 = 0. What is f?\nAnswer: -386, -74, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146667.\nAnswer: 3, 48889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -0.04 (c) 1\/7 (d) -4 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 13*h**5\/9 - 31*h**4\/3 - 23*h**3 - 83*h**2\/9 + 2*h = 0.\nAnswer: -1, 0, 2\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49428 and 38444.\nAnswer: 345996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 8, 0 in increasing order.\nAnswer: -8, -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5, 251, -12 in ascending order.\nAnswer: -12, 1\/4, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, -18139 in decreasing order.\nAnswer: 5, 2, -2, -18139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 79*t**5\/4 + t**4\/12 - t**3\/3 + t**2\/2 + 17*t. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(468)*1*-5 + 5))**2 + -5.\nAnswer: -4860*sqrt(13) + 106024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 + 5*y + 3. Let l be p(-5). Suppose l*q**3 + 3 - 9*q**3 + 0*q**3 - 5*q**2 - 4*q**2 = 0. What is q?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5213915, 5213918, 5213921?\n\"Answer: 3*l + 5213912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2 - 13194*y - 6027112 = 0.\nAnswer: -442, 13636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2791187 and -0.06.\nAnswer: -0.016747122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8073 is divided by 449.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52357, 210079, 472941, 840937, 1314061, 1892307?\nAnswer: 2575669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 4. Let x be (t\/105)\/(3\/18). Is x less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-140)\/12 + 7)\/(1\/39). Calculate the common denominator of -131\/42 and ((-38)\/12)\/(c\/(-234)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/433 in -0.4, -1, 985, -2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/3 + 24316*i**2 = 0. Calculate i.\nAnswer: -18237, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2605 = 5*x, 3*x - 3054 = -3063. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 - -137. Let p be -2*(-95)\/40*s. Solve o = -14 + p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 < -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120021 + -112201?\nAnswer: -1002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13825 + -13824.9999992659. Round w to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 12:53 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 61*v + 117. Give u(-56).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/33)*(f\/(f\/f**(-2\/11)))\/f*((f\/(f*f**(-2\/15)\/f*f))\/f)**(-1\/4))**(-6) assuming f is positive.\nAnswer: f**(17\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 294\/1764 - (1 + 437\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3302 - 0?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -42. Let f be (-56)\/a - 0\/2. Suppose -10\/7*r**2 + 2\/7*r**3 + 16\/7*r - f = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1604 - 5?\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 16) to base 5\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Let k(u) = u**2 - 3*u - 4. Let c be k(r). Factor 0 - 3\/7*a**2 + c*a.\nAnswer: -3*a**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-2)\/3)\/((-18)\/(-162)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*d**3 - 1017*d**2 - 2*d + 14838?\nAnswer: 672*d - 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -199, -568, -1111, -1828, -2719?\nAnswer: -3784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**2 + 9*f - 9*f + 27*f**2 as u*f + c*f**2 + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wttuwutw. Give prob of picking 2 u and 1 w.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23228 - -15918. Let w = -7309.999996859 - l. Round w to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -1 (c) 0.5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 22\/39010691?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -15. Let t(b) = 3*b - 21. Let m be t(x). Solve 5*f - 5 = 4*q + 14, 3*f = -3*q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.985245 rounded to 1 dp?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123435 and 1872.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -527*a**2*c*p**4 - a**2*c + 48*a*c - 14*a + 2*c*p**2 + c*p wrt p?\nAnswer: -2108*a**2*c*p**3 + 4*c*p + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 17. Suppose -5*z - p*k + 307 = 0, 2*z - k = -2*k + 123. Suppose -3*l - z = -206. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 4, 2\/7, -0.5.\nAnswer: -0.5, -1\/7, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*v + 63*v - 38*v - 6*v.\nAnswer: 146*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1 (b) 11\/30 (c) -5\/4 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121\/82 + -1\/41. Let j be 1*2 - (-12)\/(-3). What is the second biggest value in i, j, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/414 and -31\/368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-12)*400\/(-11250)*-15?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**2 - 27*b**2 + 24*b**2.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ab + 2fe?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 1. Let o(v) = 2*v + 101*v**2 - 2*v - 112*v**2 + 6. Determine -6*g(l) + o(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {a: 1, e: 1, w: 1, i: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.8 - 24.7. Which is the nearest to d? (a) 0.1 (b) 4 (c) 5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = 5*l + 6, 4*l + r - 3 = 0. Find the second derivative of 2*j + j - j - l*j**3 wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2116 and 2898?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*l - 26 = 5*y, -3*l + 26 = -2*y. Let f = -10 - y. Suppose 0 = -f*i + 2*o + 1695, -1695 = i - 4*i + 3*o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhrhrh. What is prob of sequence hh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(56\/((-1624)\/58))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + h + 0*h - 4*h - 9*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 + 0.11. What is the third smallest value in 3\/7, p, 0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -0.2, 4, 5895.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**2 - 2914*x + 87035. Calculate u(-392).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -9. Put h, -5, 3 in decreasing order.\nAnswer: 3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/263, -0.5, 13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 19 - 53. Let i = 239 + -231. Let w = i + g. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626300 is divided by 8138?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**2*o**2 + 11863211*g**2 + 59*g*o**4 - 21*g*o wrt o.\nAnswer: -14*g**2*o + 236*g*o**3 - 21*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 172, 349, 586, 877, 1216, 1597, 2014?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1841983 times 60?\nAnswer: -110518980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1413685638 - 87*y + 1413685638.\nAnswer: -87*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.58683ml in litres?\nAnswer: 0.09758683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 4*j + 4*j)*(2*j + j + 0*j) + (-4 + 4 + 2*j)*(2*j - 2*j + 3*j) + (-2*j + 4*j - 6*j)*(-j + 2*j + j) to the form y*j + k*j**2 + u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/4)\/((-189)\/126).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47761360*b**3*j**3 - b*j**3 - 6*b*j + 11*b - 5*j**3 - 2*j**2 + 11323*j wrt b?\nAnswer: -286568160*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7236695 < -7236717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let r(b) = 1 + 5*b**2 + b**2 - 4*b**2 - b**2. Let q be (2 - (4 - 6)) + -2 + -4. Determine q*y(s) + r(s).\nAnswer: s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 762 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**20*(v\/(v\/(v*v**(-1\/17))))\/v*v assuming v is positive.\nAnswer: v**(356\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/sqrt(128) + -1.\nAnswer: -1 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112\/13 - 831\/104. Are -3 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 6 - 6)*(-2 + 0 + 3)*(-22*u - 27 + 27) in the form t*u + p*u**2 + b*u**3 + d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4338 + -5099. Sort 3\/4, -0.05, u in descending order.\nAnswer: 3\/4, -0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3294955 rounded to 2 dps?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) -5 (c) 0.01 (d) -258 (e) -28\/73 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*v - 5 = 0, 3*v - 13 = -j + v. Suppose -31 = -5*g + 4*m, -4*g = -2*m - 10 - 10. Let a(t) = g*t - 4*t**2 + 3*t**2 + t + 1. Determine a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*o - 60, 0 = 2*v + o - 158623 + 158533 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*a - 2718*a - 4182*a.\nAnswer: -7430*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1142168 - -1477832. Round s to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228)*1 - sqrt(228))*2*6)\/((sqrt(96)*1*-1)\/(sqrt(48)\/(sqrt(12)\/sqrt(2)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**3 + 0 + 1\/6*z**4 + z + 0*z**2. Let b(i) = 0*i - i - i. Give b(o(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2668*m**3 + m**2 + 3*m + 2668*m**3 - 5*m**4 to the form s + u*m**4 + y*m**3 + d*m + h*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 77*f**2 - 602*f + 14. Give w(7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -1\/3, -0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29049 - 29031. Solve 391*m - 395*m = u + r, 0 = 4*m + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.7 + -12.7. What is the biggest value in 1, r, -2, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229512 divided by -2.\nAnswer: 114756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5434 + -9309. Let d = -2506 - c. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 - 24884*u**3 - 7*u**2 - 67622808*u wrt u.\nAnswer: 20*u**3 - 149304*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -657 at most -666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:18 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 813.56ns to milliseconds.\nAnswer: 0.00081356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.5, -47.23, -0.3.\nAnswer: -47.23, -9.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10092564 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1451334, 1451333, 1451332, 1451331?\n\"Answer: -b + 1451335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a week in minutes?\nAnswer: 10752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04762 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c - 112*c + 5*q + 19 + 56 = -53*c, -3*q = 11 + 34 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1142*n + 5875. Calculate i(-6).\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/11 and 77\/288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 2*k = -15, 244 = -u - 2*k + 247 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4412*o**3 - 23995 wrt o?\nAnswer: -13236*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-60)*4*3. Let h = -3\/8 + 57\/88. Which is the second biggest value? (a) 1 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 32*b - 224. Let q be t(7). Suppose -22*f - 2*f + 96 = q. Solve f*y + 7 - 27 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3) + (-208)\/91. Put 1\/3, a, -6 in descending order.\nAnswer: 1\/3, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 p when four letters picked without replacement from {p: 2, n: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:24 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4. Let v(y) = y - 3. Suppose 5*z + d + 28 = 2*d, 0 = -z - d - 8. Let r be v(z). Let c = 12 + r. What is j(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5803\/5 + -1173. Calculate the common denominator of 51\/5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * -14.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*f**2*l - 125*b*f*l + 10*b*f + 3617387*f**2*l + 8777*f*l wrt f?\nAnswer: 4*b*l + 7234774*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2905 is divided by 727.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1896\/(-32)*(183\/(-63) - -3) and (-60)\/9*11\/4.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.392554782211 - 5\nAnswer: -5.392554782211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < -0.33520374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*m = 2*z - 9, 20 = 2*z - 5*m. Let k = 6 + -1. Find the second derivative of -z*r**2 - r**5 + k*r**2 - r wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8627 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 0*k - 128 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 - 42*j**2 - 31*j**2 + 47*j**2 - 25*j**2 - 2*j**2.\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112203400 (base 5) in base 2?\nAnswer: -1001011000100011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -2\/1235 (c) 1\/2 (d) 2.8 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (44\/44)\/((-49)\/(-392))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33\/26 - -1\/52. Which is the second biggest value? (a) 1 (b) o (c) -2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/63 - (-2)\/((-14)\/(-327)). Solve -21*f + x + 16 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 9*d**2 + 9*d**2)*(2 - 1 - 3)*(-1972 + 5100 - 2361).\nAnswer: 3068*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138965 is divided by 69426.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)**(-17\/4)\/(y\/(y**(1\/4)\/y*y))**(-47) assuming y is positive.\nAnswer: y**(491\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/17 + 4083154*u\/17 = 0.\nAnswer: 0, 2041577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 2290, 5147, 9146, 14287?\nAnswer: 20570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -21020202221101?\nAnswer: -21020202221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 2*t - 1100. Suppose 567 = -22*q + 2437. Let s = q + t. What is s rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3650743 (base 9) to base 13\nAnswer: -5451c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.49+-10\nAnswer: -9.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25573 (base 8) in base 2?\nAnswer: 10101101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(396))*-1 + 0 - ((sqrt(396) - -3*(sqrt(396) - -2*sqrt(396) - sqrt(396))) + (sqrt(396) - ((-1 + sqrt(396))*-6 - sqrt(396)))))**2*-1.\nAnswer: -101385 + 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -72, -128, -236, -414, -680, -1052, -1548?\nAnswer: -2186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8) - 0)*10. Suppose g*l = m + 15, -7*l + 3*l + 70 = 5*m. What is the least common multiple of m and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 51. Let o be t(9). Suppose 4*h + 2*a = -a + 103, 2*h - o = -5*a. Which is smaller: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4027.\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4017 is divided by 2007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/6 + x**2\/2 + 14*x. What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.56817876 to two dps.\nAnswer: -2.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 542, -3\/2, 2\/13, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 235550\/9*12\/64. Let k = s + -4912. Find the common denominator of 77\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 + -138. Suppose 110*z - 105*z - c = -5, -3*z - 3*c = 3. Put z, n, 39 in descending order.\nAnswer: 39, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*m - 16 = 0, -2*i - 32 = 2*i - 4*m. Let r(g) = 8*g**2 + 7*g - 13. Does 15 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 436*o - 437*o - 91 + 91 - o**3 to l*o + d*o**3 + y*o**2 + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 54. Let f = -239 - -255. What is the remainder when b is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**3 - 109 - 2*h**2 + h - 124 - 125 + 481 - 121 to f*h**2 + a*h + w + y*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8188 - 70588. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2227 or 2221?\nAnswer: 2221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4586359, -9172711, -13759053, -18345385, -22931707?\nAnswer: -27518019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/4 + 41615*g**3\/2 - 1732557069*g**2\/4 + 7790120213*g - 7357001753 = 0 for g.\nAnswer: 1, 17, 41606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 232*z - 228*z - 556. Suppose z*j - 210 = 132*j. What is the lowest common multiple of j and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31.54918 nanograms?\nAnswer: 0.00000003154918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.4 - -45.39996156. What is n rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**4 + l**3 + l**2. Let n(t) = -4*t**4 + 2*t**3 - 4*t**2 + 12*t. Suppose 0 = 2*g + 6*g - 48. Let f(d) = g*w(d) - n(d). Factor f(a).\nAnswer: -2*a*(a - 3)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -26*u**2 + 3593*u + 18001. Calculate h(-5).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + -52. Let b = 86.2 + a. Let o = 0.2 - 0.6. What is the smallest value in 12, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -642*a + 468*a + 362*a to k + u*a and give u.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1175430 to the nearest ten thousand.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 0.3 (c) 68 (d) -1\/4 (e) 20 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i + 104. What is the units digit of u(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365 + 49*u + 34*u + 172*u + 174 + 177.\nAnswer: 255*u - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, l: 5, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048 is divided by 557.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.335 - 1.665. What is a rounded to 1 dp?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*c + 82344 = -414*c. Suppose c + 5661 = 5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + 1*sqrt(612))**2*4 - (((sqrt(612) + 0)*6)**2 - (3 + -3*sqrt(612))**2).\nAnswer: -13923 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2438949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74778170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*c = 16, 2*o - 4*o - c = -6. Solve 0 = 3*p - 4*f - 15 + o, -2*p + 10 = -3*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52416839 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5466*d**4*n**2 - 299*d**2*n + 4419519*n**2 wrt d?\nAnswer: 21864*d**3*n**2 - 598*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11081436 by 3.\nAnswer: -3693812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**3 - 13*b**2 + 15*b - 13. Let k(z) = -2*z**3 + 3*z**2 - 4*z + 3. Give -26*k(p) - 6*m(p).\nAnswer: -2*p**3 + 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 257*f**2 + 263*f. Let s(b) = -4*b**2 + b. Let w(r) = d(r) - 2*s(r). Find the second derivative of w(l) wrt l.\nAnswer: 530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s*s*s**(1\/8))\/s)\/s*s)\/s**(-6)*(s*s*s**(1\/10)*s)\/((s**(4\/9)*s)\/s)*((s**(2\/7)\/s)**30)**(-10\/13) assuming s is positive.\nAnswer: s**(925931\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -34*a**7\/21 - 6*a**4 - 61*a + 2. Find the third derivative of r(i) wrt i.\nAnswer: -4080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 2*x**2 + 4*x + 11. What is c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248333?\nAnswer: 103, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or -237?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007241 to 5 decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5932349 = 5*l + 2*x - 5932192, l + 32 = -x for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*c**3 + 3*c**2 + c - 3*c**2 - 1 - 13*c**3 + 75*c**3 as k*c**2 + t + x*c**3 + q*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.2 - -5.9. Let z be 2\/(-6) + 10\/12. Put t, 5, 0.4, z in ascending order.\nAnswer: t, 0.4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/4 + 3*h - 7. Find the first derivative of y(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = -10593 + 42885. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 + 120. What is the closest to 1 in d, -20, -2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1121112 or -21301114\/19?\nAnswer: -1121112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158874307 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 12 + -44 + 68?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 1\/3*z**3 + 9\/20*z**5 - 1 - 3\/4*z**4 + 0*z**2 + 0*z. Factor c(w).\nAnswer: w**2*(3*w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 7:03 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w - 3. Let z(r) = -4*r + 1. Let v(x) = 2*u(x) + 5*z(x). Let q be v(-4). What is the common denominator of ((-18)\/q)\/((-32)\/310) and -11\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 - -91. What is the remainder when 89 is divided by (-3 - d\/6)\/((-4)\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1486 + 155766.\nAnswer: 155766.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1370334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**5\/15 - 4*x**2. Let z(t) be the third derivative of t**4\/24 + 2*t**2. What is r(z(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = 379552. Let t = -48888 - c. Round t to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4, -163 in ascending order.\nAnswer: -163, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 2*p**3\/3 - p**2 - 4*p - 1. Let z be h(4). Solve 0 = -3*r + u - 2*u - z, -15 = 3*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v + 5*f + 5, 5 = -5*v + 3*f. Which is smaller: 2\/17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q**2 - 81*q + 17. Determine b(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p + 15*p + 211*p**2.\nAnswer: 211*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-8))\/(o*o*o**(-2\/11))*(o\/o**(-2))**(-16\/5))**(-19) assuming o is positive.\nAnswer: o**(19247\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-108)*6*3*195\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 13, i: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 8 = -2*j + 2*b, 5*j + 24 = b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-7\/3)*(h**(-2\/9))**(5\/2))\/((h*h**2\/h)**31)**(1\/2) assuming h is positive.\nAnswer: h**(-263\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s = 123. Suppose -766*u + 405414 = -225*u + 625*u + 841*u. Calculate the remainder when u is divided by s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 - 17*x**2 - 230*x - 3762. What is f(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 15, 0.03, 0.4, 34.\nAnswer: -1\/4, 0.03, 0.4, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1657 = -4*s - m - 333, -4*m - 662 = -2*s. Let x = s + -101. What is the smallest common multiple of 16 and x?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11 = q + 3*t, -4*q - 16 = 4*t. Suppose -5*i + 0*i = 4*y + 14, 2*i = -y - 8. Is (-2)\/i*3747\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100*n**4 - 201*n**4 + 102*n**4 - 67*n**5 + (-4 - 2*n**4 + 4)*(n - 1 + 1).\nAnswer: -69*n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000066804 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + v = -68 - 9, -x - 15*v + 61 = 0. What is the least common multiple of 35690 and x?\nAnswer: 285520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-2*16)\/(-1). Let l = -38 - 63. Let u = x - l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1017*p - 662*p**2 + 2 - 1 + 2019*p - 1000*p.\nAnswer: -662*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from qwqwwqqwqqqw.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2210 (base 4) to base 6\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = j + j - 24, -1 = 2*j - i. Let n(h) = -2*h**3 - h**2 - h - 2. Let t be n(-2). Solve -o + 0 = -3*r - t, 0 = j*o + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2440*v + 72244. Calculate x(30).\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*125\/150*(-255)\/34.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.32, -1 in decreasing order.\nAnswer: -0.32, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 1\/60*v**5 + 0*v**4 + 0*v - 1 + 1\/3*v**3 + 1\/360*v**6 + 0*v**2. Let c(j) be the third derivative of r(j). Factor c(a).\nAnswer: a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-5))\/(78\/(-15600)*-280)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 23. Let h(y) = -y**3 + y**2 - 7*y - 9. Let a be h(m). Let u = -10 - -32. Calculate the highest common factor of u and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/400 and 85\/4.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:26 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -11*a + 12*a + 4*f, -4*a + 29 = -f. Suppose -a*z = -35*z + 12180. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 26 = -22. Let l(y) = 61*y**h + 87*y**2 + 19*y**2 + 2*y**2. Let w(t) = t. Give w(l(c)).\nAnswer: 169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - a**2 + 6*a + 25. Let n be s(0). Solve -7*h = 18 - n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 371, -441, -1673, -3325?\nAnswer: -5397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -15*j**2 - 3*j + 27. Let i(z) = -7*z**2 - 2*z + 13. Let c(s) = 6*h(s) - 13*i(s). What is c(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*k**3*s + 3*d*k**2*s**2 + 2*d*k**2 + 11*d*k*s**2 + 49*k**3*s**2 + 2*k**3 wrt k.\nAnswer: 6*d*s + 294*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-6 + 4 + -4 + 13 + (-3 - 5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhffhfhfffrrrhrhh. What is prob of picking 1 r and 1 f?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let j(i) = 6*i - 4. Let q(b) = -j(b) + 5*s(b). Let x(m) = m + 1. Let w = -8 - -3. Let d = 1 + w. Calculate d*x(t) - 2*q(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(11) + 4).\nAnswer: -14 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3185 and 423735?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116175917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 1. Let z be m(1). Suppose 7 = x + z. Solve x*p - 4 = -2*b, 5*p + 2*b - 3*b = 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 0 + 0 + 0 + w**3 + 0 - 7*w**3 - w**3 + 3*w**3 - w**3 + 0*w**3 + 0*w**3 + (-3*w + w + 3*w)*(3*w**2 - w**2 - 3*w**2) - 3*w**3 + 7*w**3 + w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1504, 2974, 4426, 5866, 7300?\nAnswer: 8734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + g + 15 = 0, 2*g - 8 - 2 = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -30*z**2 + 7*z. Let x(r) be the second derivative of r**4\/12 - 469*r. Determine x(w(y)).\nAnswer: 900*y**4 - 420*y**3 + 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*w - 22, 2*j + 0*j - w + 12 = 0. What is the units digit of 6\/2*j\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -427 - -52?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14\/6*291\/485\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 18485*d**4\/3 - 351191*d**3\/3 + 1478344*d**2\/3 + 1850420*d\/3 + 800 = 0.\nAnswer: -1, -24\/18485, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -183, 3, -13, -2, 4 in descending order.\nAnswer: 40, 4, 3, -2, -13, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 + 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64.8 and -5.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6789.683 centimeters in meters?\nAnswer: 67.89683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-1)*3159\/36. Let b = w - 5965\/17. Let z be (-2 + 2 + 1)\/1. Is b at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1 - 1092*y - 1093*y + 3274*y - 1088*y. Let i(q) = q**3 - 8*q - 7. Determine i(b) + 6*k(b).\nAnswer: b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2029*d**6*s**3 - 3*d**2*s**2 - 33*d*s**3 wrt d?\nAnswer: 243480*d**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(4*w + 3*w - 5*w)*(w - w + 3*w**2).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240885 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5395, -5397, -5399, -5401, -5403, -5405?\n\"Answer: -2*f - 5393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -387.8913?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -600 - -596. List the prime factors of (g\/(-12))\/(5\/13995).\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {o: 4, e: 3, s: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5030 - -8665. Is t a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/5 and -79\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 64*r**6\/5 - 457*r**4\/12 - 436*r. What is the third derivative of b(q) wrt q?\nAnswer: 9216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5693 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8199.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 30*i**2 + 5910*i + 15. Give u(-197).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1451, -1440, -1429, -1418?\n\"Answer: 11*y - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20054 + -2?\nAnswer: 20052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(11\/(-112)) - 4. Let b = w - 55. Suppose 2*v - 10 = -p, -4*p + 8*p = 5*v + b. What is the remainder when 34 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6003, 5999, 5995?\nAnswer: 5991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 14154666 = -41045334. Suppose h = -0*l + l. What is l rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43590 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 258*a**2 - 227*a**2 + a.\nAnswer: -485*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*f**2\/7 + 590336*f\/7 + 131184\/7.\nAnswer: 4*(f + 16398)*(9*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 5. Let c be g(0). Let m(v) = -v**2 - 12*v - 9. Let l be m(c). Let j = l - 7. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Let m be (-2 - 6)*1\/2. Put m, c, -3 in ascending order.\nAnswer: m, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/30 - (-2)\/(-4). Let m = -2 + 2.4. Let a = 152 + -151.7. Put q, m, a in decreasing order.\nAnswer: m, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 2346?\nAnswer: 37536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**2 - 145*y - 390 = 0?\nAnswer: -26, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3756 - -5391. Suppose 0 = -0*p - 3*p + s. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1129 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -1\/15*d**5 - 1\/6*d**3 + 0 + 1\/12*d**4 - 72*d**2 - 1\/120*d**6 + 0*d. Give g(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u + 1. Let g(z) = 819*z**2 + 4*z - 1. Give g(k(s)).\nAnswer: 40131*s**2 + 11494*s + 822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -45. Suppose 3*p - p - i = 0. What is the second derivative of 39*o - p*o**3 - 21*o - 20*o wrt o?\nAnswer: -42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*o + 2*w - 25, 0 = 5*o - 5*w + 40 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.38 - 458586946?\nAnswer: -458586942.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 6*a - 2. Let i(f) = 5*f**2 - 11*f - 4. Let u(z) = 3*i(z) - 7*k(z). Suppose -1616 = 227*o - 254. Give u(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164129.07 rounded to the nearest one thousand?\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 - (-130)\/18. Let z be 9 + g\/(14\/4). Is 12 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2090423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -583 (base 12) in base 10?\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + (sqrt(19) + 4*(sqrt(19) + 1) + sqrt(19))**2 + -5).\nAnswer: 245*sqrt(19) + 3475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000650939 to six dps.\nAnswer: 0.000651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -156\/271145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 6. Let k(n) = n**3 + 9*n**2 - 10*n + 6. Let f be k(-10). Let m be s(f). Put m, 2, -1 in ascending order.\nAnswer: -1, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {c: 7, y: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6\/11 (b) -1\/33 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k + 4. Suppose 14 = 2*r - 0*q - 4*q, 0 = -2*r - 4*q - 26. Let j(v) = 5*v + 3. What is r*d(y) + 4*j(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let r(w) = 5*w + 1. Let l(j) = 4*q(j) + r(j). What is the least common multiple of 12 and l(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23345993.\nAnswer: 11, 2122363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -106. Sort -4, j, -1\/4, -2\/15 in descending order.\nAnswer: j, -2\/15, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 16*t**2 - 20*t - 58. Let y be z(-15). Suppose -4*f = -4*r + 9 - 45, f + 3*r = y. Solve f*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1 + sqrt(272) + -4 - (2 + -1 + sqrt(272))) + ((sqrt(272) - (sqrt(272)*2 - sqrt(272)))*5 + sqrt(272) - -3*(sqrt(272) + -2))))**2.\nAnswer: -5120*sqrt(17) + 71232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x**3 + 6*x**2 + 6*x - 96. What are the prime factors of y(7)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2) - 0)\/((-16)\/640). Suppose f = -4*j - 0*j. Which is the closest to -0.1? (a) j (b) -0.5 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -42*x + 286. Let z be g(6). Let d = 296 - 126. Calculate the greatest common factor of d and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-4634)\/(-5340)) + (-8)\/60. Are n and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 1\/3, 5\/7 in decreasing order.\nAnswer: 6, 1, 5\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p = 59*p - 138. Let n(d) = 6*d - 1. Let s be n(4). What is the highest common factor of p and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.211? (a) 0.7 (b) -1 (c) -4 (d) -0.04 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - 8*o**2 - 12*o + 15*o. Let g(l) = -2*l**2 + 5*l. Determine -5*b(x) + 3*g(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-3)))*k*k**5)\/(k\/k**(-4)*k\/(k**(-2\/13)\/k)))\/(((k*k**2*k)\/k*k*k)\/((k\/((k\/(k**(4\/5)*k*k)*k)\/k))\/k*k)*k**4*k**(-6)) assuming k is positive.\nAnswer: k**(-218\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50, 241, 558, 1001, 1570, 2265, 3086?\n\"Answer: 63*l**2 + 2*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1\/6*s**4 + 0*s + 0 + 1\/20*s**5 - 6*s**2 - 74999\/120*s**6 + 1\/3*s**3. Let t be p(-1). Round t to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let l be (-420)\/(-392) - 8\/14. Which is the second smallest value? (a) d (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 117*a**3\/5 - 964*a**2\/5 + 2096*a\/5 - 448\/5 = 0.\nAnswer: 28\/117, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22190?\nAnswer: 2, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/8*6)\/(((-80)\/12)\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) - sqrt(125)*-1)*5 - (1 + sqrt(125))*-4)**2*4.\nAnswer: -800*sqrt(5) + 12564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 - 44*r**3 - 68*r**3.\nAnswer: -98*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 320940.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/25555?\nAnswer: 6\/25555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-5)\/(-2)) - (-8 - -1). Suppose 130792604 - 10792604 = a*g. What is g rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/75 and 23\/74760.\nAnswer: 373800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1644 and 30688.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159 greater than 2670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbkt. Give prob of sequence tbkt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 11 = -22*r - y, -r + 1 = -4*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2550*u**5 + 2149*u**4 - 4*u**3 - 2*u**2 - 3248*u + 414 wrt u?\nAnswer: -153000*u**2 + 51576*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v - 1510 = -7810. What is the remainder when v is divided by 53?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3173\/99 + -119\/33. Factor 32\/3*a**2 - 16\/9*a**3 + 256\/9 + 1\/9*a**4 - q*a.\nAnswer: (a - 4)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36777 and 13635780.\nAnswer: 177265140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53350.0258 rounded to the nearest integer?\nAnswer: 53350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101101000100100110 (base 2) to base 7.\nAnswer: -20636562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080247 + 5313060 = 14*u - 8977279. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.4161 and -19?\nAnswer: 121.9059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 24*c = -130. Let x(m) = -25*m + 6. Let q be x(-6). Calculate the greatest common divisor of c and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -5564*i**7\/21 - i**4\/6 - 4295*i**3\/6 + 71*i + 64. What is the third derivative of l(q) wrt q?\nAnswer: -667680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-2)\/6)\/((56\/(-24))\/7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(1*sqrt(5)) + sqrt(36))\/sqrt(12) + 0 + -4 + (sqrt(6)\/sqrt(2))**2.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + j**2 - j**2 + (-2*j**2 + 4*j**2 + 0*j**2)*(5*j**2 + 0*j**2 + 3*j**2) + 3*j**3 - 3*j**3 - j**3 + 2*j**4.\nAnswer: 20*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.4 + 11.5. Let z = p + 8. Let f = 5927 + -5923. Which is the closest to z? (a) -2\/13 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014*l**3 - 2710500*l**2 + 416991*l\/2 - 8019\/2 = 0. Calculate l.\nAnswer: 1\/26, 2673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 - 426*d + 1720 = 0?\nAnswer: -430, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*c + 12 = 0, -1 = -5*x - c + 13. Let w(a) = -21*a + 220. Let v be w(0). Let h = -205 + v. Solve -h = -x*l + 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 4*t + 20. What is w(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -23. Let x = -0.11 - 0.074. Let q = 0.084 + x. What is the closest to 0.1 in q, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1856 by 6.\nAnswer: -928\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let h = -3 + f. Let u = h + 0.3. Round u to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 + 10*i + 6. Let m(h) be the second derivative of -13*h**4\/12 - 19*h**3\/6 - 11*h**2\/2 - 82*h. Calculate 11*b(a) + 6*m(a).\nAnswer: -a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 10*r + 12. Let z be h(-3). Solve z = 4*c - 7*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -44*n - 13. Give p(-2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-5564)\/(-1586))\/(-107)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33 + -9?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 8. Let p be 0 - -3 - n\/(-18). Solve 40\/3*g**2 - 35*g + 30 - p*g**3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4788*y**2 + 76600*y + 128.\nAnswer: -4*(y - 16)*(1197*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = -374 + 254 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (10 - (9 - 5)) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2. Let g(o) = -2 - 4 + 12 - 4*o + 2*o + 4*o. Calculate g(j(u)).\nAnswer: -4*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-2) + (4 - 4). What is the units digit of 10\/o*(-1 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goqg when four letters picked without replacement from {g: 2, o: 2, q: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yebj when four letters picked without replacement from {z: 5, y: 4, j: 1, e: 1, b: 3}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -414 - -416. Solve 8 + k = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 1\/22*u**4 - 1\/11*u**2 + 0*u**3 + 0*u - 22. Find c such that r(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 626256*p**4 - 2868496*p**2?\nAnswer: 15030144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 2:29 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -4*n**3\/3 + n**2\/2 + 11. Suppose -y + 5 = -0*y - v, v - 3 = 0. Let d(x) = -11*x**2 + 2*x. Give y*z(l) - 3*d(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099708669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/1211 and 71\/6055.\nAnswer: 6055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.063 * -2.1.\nAnswer: -2.2323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 14*p - 20*p.\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + -1)**2 + sqrt(7) + sqrt(70)\/(1*sqrt(10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 5*j**4\/4 + 8*j. Let i(v) = -v. Give i(t(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2 - 135499*c + 688763?\nAnswer: 2*c - 135499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1257*s + 7547. What is l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101001 - -10010111?\nAnswer: -1001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 6 (c) -2.505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + r - 3*m = 10, -5*m - 20 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 4*p - 20, -8 = -4*p. Let j be 4 - (-46 + q\/3). What is the highest common factor of 68 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**3 + 26*d**2 - 62*d + 37. Calculate y(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8755890 divided by 26533\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 345?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*c**2 + 94558 - 89*c**2 - 94558 + 77*c**2.\nAnswer: -561*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 0*h = -351. Suppose 0 = -3*d + 2*m + 3882, -2*m - 1298 = -h*d + 8*d. List the prime factors of d.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 - -0.11. Let l = d - 0.16. Let n = -0.1 + 0.08. Do n and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2. Suppose o = -3*o + 16. Suppose 2*l + 2 + 6 = 0. Sort l, w, o.\nAnswer: l, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.94738, -37, -1\/5 in decreasing order.\nAnswer: -1\/5, -3.94738, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 1, b: 2, j: 1, q: 1, m: 1}. Give prob of sequence bm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -215 (b) 8 (c) 0.1 (d) 0.5 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 8 + 16. What is the nearest to 0 in l, 0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350597.\nAnswer: 13, 149, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u. Suppose -3*v + 2*i + 37 = 0, -4*i + 0*i - 59 = -5*v. Let m(g) = -3 - v + 31*g + 18. Determine c(m(b)).\nAnswer: -124*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18258901*g**2*s**2 - 241*g**2*s + 3277*g - 6*s + 3 wrt s.\nAnswer: -36517802*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 7844 and -711.1.\nAnswer: 7132.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 7*y**2 - 6*y.\nAnswer: -y*(y - 2)*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107918 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 313a + 4?\nAnswer: 313e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4379, 48473, 191935, 471313, 931913, 1619041, 2578003, 3854105?\nAnswer: 5492653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160218960 divided by -1335158.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**7\/294 + 97*c**6\/210 + 149*c**5\/70 - 46783*c**4\/42 + 1360645*c**3\/42 - 5623475*c**2\/14 - 828*c. Factor b(s).\nAnswer: (s - 11)**3*(s + 65)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-12))\/((9\/((-27)\/12))\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 43*l - 75. Let p(w) = 17*w - 37. Let m(q) = 5*p(q) - 2*s(q). What is m(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65122616 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 - 84. Suppose p = 9*c + 155. Sort 0.046, c, -0.3 in descending order.\nAnswer: 0.046, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.00593 days to milliseconds.\nAnswer: 778112352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*y - 8*y**3 - 65*y + 9*y**3.\nAnswer: y**3 + 707*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37722 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/30)\/(3\/(-180)*(-92)\/138).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x + 279. What is p(-34)?\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.015856 - -3.8159. Let v = k - -0.2. What is v rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.6, -353, 0.3, -5\/2 in descending order.\nAnswer: 20, 0.3, -0.6, -5\/2, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -722 + 732. What is the smallest value in u, -2\/3, 1\/18, 1\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 238, -347640, -4.\nAnswer: -347640, -4, -1, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 5}. Give prob of sequence fbf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c - 3*c - 5*c to the form k + s*c and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 6, -591, -5, 1 in descending order.\nAnswer: 6, 1, 1\/8, -5, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 329509649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -475\/187 + 26\/11. Let h = -5554\/55 - -504\/5. Put u, h, 1, -4\/3 in decreasing order.\nAnswer: 1, u, h, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -57. Let q = v - -14. Which is the second smallest value? (a) -11 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:14 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b44 (base 15) to base 7.\nAnswer: -36040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 17*x + 38. What is a(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8*i = -3*i + 27, -4*i = 2*u + 16. Let r be (3 + 29\/(-4) - -4)*u. Let h = 2.79 + -2.7. Which is the closest to r? (a) h (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 1, c: 1, w: 3, l: 1, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/60 + o**5\/30 - o**4\/12 + 2*o**3\/3 - o**2. Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**5\/11 - 186*g**4\/11 - 150*g**3 - 1830*g**2\/11 + 19296*g\/11 + 19656\/11 = 0. Calculate g.\nAnswer: -14, -13, -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/15, -3\/4, 2\/5, 1\/3, 2, 6\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.216 - -0.764. Let m = v + -25.25. Let h = -7 - m. Round h to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**5 - 4938*o**4 + 41937*o**3 + 98724*o**2 + 51840*o = 0. Calculate o.\nAnswer: -1, 0, 32\/3, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, and 2 x when four letters picked without replacement from fxfnxnnnx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -777 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-6))\/v*v\/(v\/(v\/v**(-2\/3))*v))**(-35) assuming v is positive.\nAnswer: v**(-700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3348*i**3 + 217*i**2 - 217*i - 217. Let v(b) = 31*b**3 + 2*b**2 - 2*b - 2. Give 2*t(u) - 217*v(u).\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:18 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*h = -h - 70, 128 = 5*p - 4*h. What is the least common multiple of (-880)\/22000 - (-5802)\/50 and p?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k - 13272 + 3048 = 0. Calculate the remainder when k is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3381*w + 2611*w + 2141*w - 1581*w to the form j + s*w and give s.\nAnswer: 6552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 227061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98047?\nAnswer: 98047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2 = x, 0 = -5*y - x + 4861 - 4844 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*k = -15, 0 = -3*f - 4*k + 2*k - 29. Let y(g) = g**3 - g**2 + 12. Let q be y(0). Let w be (-40)\/(-6)*q\/(-10). Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4165 is divided by 72.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54931, -109849, -164767, -219685, -274603?\n\"Answer: -54918*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:51 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2849529917.679267 + 2890889513.6792. Let a = 41359758 - r. Let x = -162 + a. What is x rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -13. What is the second derivative of 13*t - 8*t - 2*t**5 - 30*t**5 + z*t wrt t?\nAnswer: -640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229129 - 12409 = -1125*a - 1885*a for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 3)*(2 - 5 + 2) - 1 + 1 - 2)*(4 + 5 + 2*g - 11) to the form m + s*g and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/120 - q**5\/10 - q**4\/8 + 3*q**3\/2 - 2891*q**2. Let n = -4 - -10. What is p(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -10, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i - 45. Let u(z) = 7*z - 30. Let f(y) = -5*n(y) + 8*u(y). Let w be f(18). Suppose -3*o - 162 = -b - 4*b, o + 94 = w*b. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.8 - 26. Round h to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 + -115.5. Let l = -5 - -14. Let z = 13 - l. Which is the closest to -12? (a) d (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55195 and 5215139.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*m + 108*m + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c - 10 = 0, 0 = 4*g + 4*c - 520. Suppose -4*j - 40 = g. Let p = 48 - j. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 14. Let k be q(-5). Let m = 11 - k. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 13*l - 81. Give g(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19750*t**3 - 1610*t**2?\nAnswer: -118500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/9)\/(2 - (-14)\/(-8)). Suppose y*i - 8 + 0 = 0. Solve -2*b = i*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105709816+1.4\nAnswer: -105709814.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y - 18. Determine x(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p - 1. Let v be l(5). Let u be -1 + (2 + v)\/(-1). Suppose -6*a = -13*a + u. Solve -5*g = -q + 12, 5*g - 4 = a*g - 3*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516697?\nAnswer: 3, 17, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -396, -14, -8, 2 in increasing order.\nAnswer: -396, -14, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4190546 = -29*r + 30*r, 5*j - 3492099 = 2*r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, 103, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 472499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**2\/2 - 22. Calculate c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 758, 780, 802?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5720, 5708, 5676, 5618, 5528, 5400, 5228?\nAnswer: 5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 130749*r**2 - 4277940867*r - 268991581887.\nAnswer: -(r + 63)*(r + 65343)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -2 - (53 - 79) - (1 + 63)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392 by 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (51\/(-34))\/((-2)\/24). Suppose -65 = -p - h - j, -4*h = p - 62. Let b = p + -37. Solve 6*k + b*n + 10 = 3*k, 4*n + 10 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -378*l + 373*l + 555. Let j = l + -111. Which is bigger: j or -6\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -169524094 and 0.5?\nAnswer: -84762047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -64*j**2 + 3734*j - 54403. What is h(30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.96 - -3. Let o = -1.2 - -2.2. Are p and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675906.092 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 4. Let g be m(-4). Let z(k) = k**3 + 6*k**2 + 7*k - 2. Let d be z(-2). Solve -4*u + d + 4 = g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/1 - -5)\/(1526\/3488)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - a = 29, 3*s + 2*a - 75 = a. Calculate the remainder when s is divided by (1 + -1 + (-6)\/(-24))*36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15224855 smaller than -15224855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x - 4*x)*(63 - 4*x - 63) - 1 - x**2 + 1 - 236 + x**2 + 236 - 2*x.\nAnswer: 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 5)*(2 + 4 - 4)*(-r + 7*r - 4*r) to the form i + m*r and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2 + 8*w + 7. Let b(s) = s. Let i(l) = a(l) - 3*b(l). Let x be i(10). What is the nearest to x in -2, -3\/5, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2110800 and 1203156?\nAnswer: 120315600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 5. Let a be 1\/4 - (1 + 205\/4). Let p be a\/(-13) + -1*2*2. What is r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*g - 31 = -4*k - 301*g, -2*k = 4*g - 40. Solve -19 = -k*q - 49 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**2\/2 + 2*w + 3818. Suppose 0 = q - 5*t + 24 - 4, t = 3. Let j(i) = 2. What is q*u(z) + 6*j(z)?\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 653167 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 5*i + 8. Let r be q(-4). Suppose l - 3*d + d = 8, -56 = -4*l - 4*d. What is the remainder when 1\/r + 405\/l is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -21.8.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -9. Let w = b - -5. Let g = 1.33 + -1.23. What is the nearest to g in -4, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 63. Let o(w) = -w**3 + 9*w**2 + 16*w + 14. What are the prime factors of o(c)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10409\/6 + 1720. What is the common denominator of g and -121\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8465251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -100, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -81*u**4 + 5*u**2 - 2*u - 195. Let k(a) = 121*a**4 - 7*a**2 + 3*a + 292. Let q(p) = -5*k(p) - 7*y(p). Differentiate q(l) wrt l.\nAnswer: -152*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 8*q**3\/3 + 4*q + 25. Let t(y) = -15*y. Calculate t(k(d)).\nAnswer: -240*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18*(-8)\/(-696)*4. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 222495.\nAnswer: 66748.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + 0. Let m = k - 1. Let z = -75.76 + 75.86. Which is the nearest to z? (a) m (b) -1\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/112)\/((-12)\/(-180)))\/(3\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5507 = 184*x - 2728. Calculate the smallest common multiple of 200 and x.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -177, -2, 328378?\nAnswer: 328378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3105107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 1*sqrt(133)*2 - (sqrt(133) - 4*sqrt(133)*4 - sqrt(133)))\/((sqrt(84)\/(sqrt(2)*-1))\/(sqrt(48)\/(sqrt(8)*-1))).\nAnswer: 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16398\/2733)\/(3\/2 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Express (2 + 1 - 1)*(-k - k + 0*k) - 5*k + 178 - 89 - 97 as c*k + b and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 14, 50, 106?\n\"Answer: 10*d**2 - 14*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182103475?\nAnswer: 5, 1289, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2 and -31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2 + 429*d + 870 = 0. What is d?\nAnswer: -2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2.7711.\nAnswer: -0.83133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*g + 57512 - 38360 = 0 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.779254 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 17, 9, -3?\n\"Answer: -2*k**2 + 2*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012153209?\nAnswer: 3, 71, 4751893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**9\/1008 + o**6\/180 + o**3 - 3. Let y(c) be the third derivative of i(c). What is the third derivative of y(z) wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*y**2 - 1067*c**3*y - 17060*c**3 - 3*c**2*y**2 - 27*c**2*y - 3*c**2 - 20833*c*y wrt c?\nAnswer: 6*y**2 - 6402*y - 102360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 34038?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/28440 and -61\/120936.\nAnswer: 143309160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 1. Let v = -2 + 5. Let q(y) = 2 - 2*y**2 + y - v - 3*y - y**3. Let t(s) = -q(s) + u(s). Factor t(z).\nAnswer: z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3624 - 3615. Solve 4*r + 37 - x = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2664 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0\/(-4) + 1. Suppose c*d = -d + 9. Suppose 0 + 20 = -4*g. Sort g, d, 2 in ascending order.\nAnswer: g, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/7)*p**(2\/7)\/p*p*p**(-11)*((p*p\/p**(3\/7))\/p)\/p assuming p is positive.\nAnswer: p**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3466 + 17747\/5. Are 83 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23837651 take away -1?\nAnswer: 0.76162349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-6\/11)*b*b\/(b\/(b*b*(b\/(b*b*b**(-4\/15)))\/b*b)))\/((b*b**(-8\/5))\/((b\/((b**13*b)\/b))\/b)) assuming b is positive.\nAnswer: b**(-1432\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/7*b**2 - 2\/7*b**5 + 10\/7*b**4 + 0 - 6\/7*b**3 + 0*b = 0 for b.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510.52 plus 1112.84?\nAnswer: 2623.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p + 5. Let m = -1.89 + -0.11. What is the closest to m in 5\/3, p, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 less than 0.27128965237?\nAnswer: 968.27128965237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3705.5 and 102.\nAnswer: -3603.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/3 + ((-565)\/60 - 3) and -83\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 3*h + 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5825623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21475.\nAnswer: 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 839358 - 839358.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 0, -1, 1, 2, -34.\nAnswer: -106, -34, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 2. Let c = 1 + 5. Let r = c + n. What is the remainder when 27 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**9\/6720 - n**6\/180 - n**5\/60 + 4*n**2. Let j(k) be the third derivative of c(k). What is the derivative of j(f) wrt f?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*t = 177*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-6)\/(-117)*(-21)\/(7*(-20)\/(-140))).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.6. Let k = w + -2.4. Put k, -0.4, 1\/3 in descending order.\nAnswer: 1\/3, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(1 + 2) + 1. Suppose p = -j - j + 2. Suppose 0 = -3*u - 3*u + 12. Sort -4, j, u in ascending order.\nAnswer: -4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*s - 37 + 154, -s - 137 = -4*i. Suppose -2*c - 11 + i = 0. Let u be (5\/10)\/(10\/c). What is the nearest to 0.1 in 36, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1444 + -1142?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 5*n + 6. Let h be k(-5). Suppose a = 4*a - h. What is the second derivative of x**2 + a*x**2 - 5*x**2 - x wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 833.671 + -3.\nAnswer: 830.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*b + 14*b + 4*b)*(81*b - 81*b + 18*b**2)*(-1 + 2 - 3) to the form z + h*b**3 + g*b + j*b**2 and give h.\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3860 is divided by 129.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y*(y\/y**(1\/5))\/y*y)*y\/(y\/(y\/(y**(2\/13)*y)))*(y\/(y\/(y*y**1*y)))**(-1\/55)*(((y*y*y**(-2\/3)*y)\/y)**(-27))**(-24\/11) assuming y is positive.\nAnswer: y**(56154\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-30)\/380 + (-47454)\/(-5928) + -8.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -37*o + 66. Let x(g) = 12*g - 22. Let c(u) = 2*r(u) + 7*x(u). Let q be c(4). Let l = -406 - -586. Calculate the greatest common divisor of q and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) 1\/4 (b) 1 (c) 1\/2 (d) -2.9 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 234.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25915 and 40.\nAnswer: 207320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-3)\/9)\/((-185)\/(-111)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 + 5*t + 4. Let q be i(-4). Let z = 0.5 - 0.2. Which is the closest to q? (a) -3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + 131. Let h = 200 - j. Let w(s) = -3*s - 1. Let v(g) = 2 + 7*g + 14*g - 17*g. What is h*w(d) - 4*v(d)?\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137440848959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8546 is divided by 220.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 7*g**2 + 29*g - 97. Calculate z(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6343434 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7567.1 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:33 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 151*w - 124*w - 25*w - 15*w + 12 + 3*w**2. Let f(r) = -r**2 + 4*r - 4. Calculate 8*f(y) + 3*i(y).\nAnswer: y**2 - 7*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 4. What is the lowest common multiple of 20 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 10 + 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -14 - (1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qff when three letters picked without replacement from qfqfq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, 35, 0.7, 2\/33, 1\/2, -136, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 - -1 - ((-58 - 25) + (-10 - -95)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879.0518t to nanograms.\nAnswer: 879051800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/193 (b) -983 (c) -55 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 96435838 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 16207*a**3 - 101016*a**3 + 0*a.\nAnswer: -84809*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**3 + 9*y**2 + 256 - 12*y - 507 + 255. Let d(a) = 3*a**3 + 2*a**2 - 3*a + 1. Calculate -18*d(o) + 4*v(o).\nAnswer: -2*o**3 + 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 739750 to the nearest one thousand.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110101001010010000 (base 2) in base 5?\nAnswer: 1211323214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, -16, -86, -214, -418?\n\"Answer: -3*v**3 - 2*v**2 - 3*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(0*m**2 + 3*m**2 - 6*m**2) + 557*m**2 + 314*m**2 + 553*m**2.\nAnswer: 1430*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -309 + 331. Let p(f) = 42 - m + 0*f - 20 + 3*f. Let v(n) = 42*n**2. Calculate v(p(i)).\nAnswer: 378*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19539 - -19540. Sort -1, -7, -5, s, -4 in decreasing order.\nAnswer: s, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 13, 21, 19, 1?\n\"Answer: -s**3 + 4*s**2 + 7*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 38891*p + 4*p**2 - 38587*p - 1 in the form c*p**2 + j*p + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 21. Suppose -34 = -z + g. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 567.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 + 3 + 21484*y - 11.\nAnswer: 21484*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11503 - -43013?\nAnswer: 31110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*r + 2. Let f(v) = -3*v - 8 + 4*v + 0*v + r. Give f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*f**2*y - f**2*z - 213*f*y**3*z + 17*y**3 + 2*y*z + 9*z + 54 wrt f?\nAnswer: 42*f*y - 2*f*z - 213*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19122721, 19122720, 19122719, 19122718?\nAnswer: 19122717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1454 or 275893?\nAnswer: 275893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 371. Let t(a) = a + 29. What is y(t(h))?\nAnswer: -2*h - 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -5\/3*j**3 + 148 - 5\/4*j**4 + 0*j**2 + 165*j. Find the first derivative of i(p) wrt p.\nAnswer: -15*p**2 - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/6)\/(-5)*70\/(-105)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -48. Suppose -9 = -8*t + v*t + l, t = -3*l + 3. Let d(x) = 8*x - 13. Let w be d(t). Solve 2*c = -3*p - 0*p - w, 5*p = -5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -255, -74, 0.01 in decreasing order.\nAnswer: 1\/13, 0.01, -74, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -4392648?\nAnswer: -4392648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*t - 7682*b**4 + 2*b**3*t + b**3 + 2*b**2*t + 3*b - 234974*t + 1 wrt b?\nAnswer: 24*b*t - 184368*b + 12*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 18. Determine c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 1\/2*m - 1\/4 - 1\/2*m**3 + 0*m**2 + 1\/4*m**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/7)*j\/j**22 assuming j is positive.\nAnswer: j**(-149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 2*q - 1. Let g be z(-2). Suppose -r + 0*a = g*a + 10, -5*r + 2*a + 35 = 0. Find the second derivative of r*j**2 + j + j + j - 2*j wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 18*v**2 + 18*v + 12. Determine c(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*q = -1733 - 19566 + 3439. Suppose -5*m = 2*l + 2, -4*l + 18 = -3*m - l. What is the remainder when q is divided by m + (-80)\/(-1*2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -5*v**9\/72 + v**5\/30 - 9*v**2. What is the third derivative of w(o) wrt o?\nAnswer: -4200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 15, 0*u - 4*u - 11 = a. Let r be u - (-7 - (-1 + 3)). Solve -7 = -r*p - 5*q + 23, -2 = -2*p + 3*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12211212000 (base 3) in base 16?\nAnswer: -1c182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 49 = m. Suppose 2*q = 132 - 30. Suppose 5*k - m = q. Solve 0 = 3*p - 3*o - 9 + 3, -3*p - 4*o + k = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 - -180. What are the prime factors of g\/6 - 1123\/(-3)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 47. Let z = -10 - q. Let n be ((-7)\/7)\/(z\/(-6)). Do -1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 3514*i + 61 - 187 + 60)*(8*i**3 - i + i).\nAnswer: -28112*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767714832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -2*u**4\/3 + u**3\/2 - 3*u**2\/2 - 1865*u. What is v(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n**2 + 19*n**2 - 3*n**4 + 2 - 5*n**3 to x*n**4 + z*n**2 + l*n**3 + c*n + g and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 430542?\nAnswer: 430545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 6. Let d be a(1). Let x be ((d - 16)\/(-2))\/(-1). Let o be 48\/18*x\/1. Are -16 and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1955.1 to the nearest 10.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Suppose -5*g = 3*c - g - 10, 5*g + 25 = o. Differentiate -12 - 14 + 28 + c*w**2 wrt w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4 - 2, 0 = 3*f + 2*p - 21. Calculate the remainder when 90 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17\/3, 12, 0, 0.1, -5?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-121)\/22 + 3\/(-6) - -20. Which is smaller: j or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 69.51. Let c = 12.14 + -12. Let w = c - p. What is w rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 195 - 197. Let g be (204\/36)\/(1\/(-6)). What is the smallest common multiple of (g\/4)\/(8\/(-16)) and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2028 and 2704?\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 81*w + 8953. Let m be k(-109). Calculate the highest common factor of 12989 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s - 56. What is n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 7. Let c(q) be the third derivative of -q**4\/12 - 7*q**3\/6 - q**2. Let h(x) = -4*c(x) + 3*m(x). Let k be h(5). Solve k = -r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 63043830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 8*b + 1. Let w be j(7). Let u be (w\/4)\/((-4)\/16). Calculate the greatest common divisor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Suppose 157 - 1017 = 86*n. Sort 3, d, -5, n.\nAnswer: n, -5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 7:07 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4760 by 4.\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17271?\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57.097 * -790\nAnswer: -45106.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogogogoggoooo. What is prob of picking 1 g and 1 o?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21300045 to four decimal places.\nAnswer: -0.213","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 0 + 6*5*sqrt(931)*-4.\nAnswer: -840*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 3*a**2 - 109*a - 1282. Let l be f(-20). What is the highest common factor of 68 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 3*g = t + 8, -p*g - g = -3*t. Let o = 3 + -4. Put o, t, 2 in ascending order.\nAnswer: o, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n + 8, 5*v + 41 = -4*n. Let s be (2 - 1\/2)*2. Let b be (-3)\/(-9) - (-2 - -1). What is the second biggest value in s, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3061 + 3103 = -16*o + 58*o. Let k(h) = -h + 14. Let w be k(6). Sort -5, -4, w, o in increasing order.\nAnswer: -5, -4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/90)\/(2\/(-3))*(-584)\/(-511).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7*z - 199450 = 0. Is z\/(-20) + (-2)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, e: 10}. Give prob of sequence enen.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12459)\/(-12))\/((-17)\/(-136)) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.0229.\nAnswer: 0.00687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13248727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 276 + -274. Let c be (-2)\/5 + 36\/(-10). Suppose -57*h + 55*h = -5*g + 75, 3*h - 50 = -5*g. Put c, g, w in ascending order.\nAnswer: c, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) + (-187859)\/17130 - (28\/(-8) - -1)?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**3 + r - 3*r + 6*r. Let d(m) = 5*m**3 - 3*m. Suppose 0 = 2*j - 3*j - 2. Let s be ((-36)\/27)\/(j\/(-6)). Give s*d(a) - 3*w(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 14\/181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 3\/(42\/74267). Suppose -10*o + 59145 = 6155. Let q = o + u. Find the common denominator of -43\/30 and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2\/9 - 113912*a\/9 + 25312 = 0.\nAnswer: 2, 28476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/119000 and -59\/11900.\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 1316*v - 104016.\nAnswer: -4*(v + 132)*(v + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.368 - -3.\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.8*-13111\nAnswer: -49821.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -155 - -2?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 - 0.6. Let f = -0.25 - n. Suppose -4*u + 3*u = 0. Which is the nearest to u? (a) f (b) -2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17585 - 1777. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2518*x - 20979 = 2481*x. What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32475 = -4*d - 5*q, 4*q - 4 = -24. Suppose -8*x + 1627 = -7*x + 2*l, -5*l + d = 5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4362502?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.8959 + 304004.13.\nAnswer: 303983.2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 3*m - 106 = -32*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69083, 140254, 211423, 282590, 353755, 424918?\nAnswer: 496079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-43)*7*198\/(-2310).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 + p**2 - 1 + p)*(-16 - 27*p - 7 + 24).\nAnswer: -27*p**3 - 26*p**2 + 28*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39278 rounded to three dps?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 277111745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-270)\/(-8) + (-30)\/40. Find the third derivative of -14 - 10*f**2 - t*f**4 - 9*f**2 + 14 + 2*f**6 - 40*f**4 wrt f.\nAnswer: 240*f**3 - 1752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*-0.2247\nAnswer: 4.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -261046\/25 and -10443 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/165 less than -0.0181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 2)*(-69*j + 1 + 5*j + 23*j).\nAnswer: -246*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7021, -12095, -17135, -22123, -27041, -31871, -36595, -41195?\n\"Answer: 3*x**3 - x**2 - 5092*x - 1931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459 divided by 27.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 76 + 116 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 46 = -4*r - 4*f, 1 = -r + 3*f. What is the derivative of -9 + 24 + r*j**3 + 32 + 8*j**3 wrt j?\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4026?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-615)*3440\/(-2064)\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = -9. Which is greater: s or -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 9 - 9)*(-13*a**3 + a**2 - a**2).\nAnswer: -39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54088674*x**3 - 51534877*x**2?\nAnswer: -324532044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.083066 + -0.083. What is i rounded to six dps?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11254176 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 4*b**2 + 11*b + 18. What is z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23f6d8 (base 16) to base 4\nAnswer: 20333123120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66.165253 - -3.\nAnswer: 69.165253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**2 - 5*y + 1. Let d(h) = -34*h - 1151. Let s be d(-34). Let i(f) = 12*f**2 - 4*f + 1. Determine s*i(j) - 4*b(j).\nAnswer: 12*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77779 - 3144?\nAnswer: -80923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 7*s**2 + 5*s + 5. Let c be (0 - 0) + 0\/(-2 + -5). Suppose -3*t + 15 = -c*t. Suppose -t*i = 4*i + 54. What is m(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + -2*(sqrt(36) - sqrt(36)*1))\/sqrt(12).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/2 + 190461*x**3\/2 + 7424937*x**2\/2 + 96510999*x\/2 + 209092884.\nAnswer: 3*(x + 13)**3*(x + 63448)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 5) - (-30 - -23 - (-12 - -40))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1911\/290 - 252\/29. Calculate the common denominator of j and (170\/(-28) - 1)\/3.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -41090 divided by -8218\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/143 in -1, 95, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896383.\nAnswer: 41, 21863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66230341 is divided by 1605?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 974264368 and 2926.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1714 or 1.7308?\nAnswer: -1714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 7:54 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106\/(-3)*9\/(-6) - 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -103, 2\/3, -4.4 in decreasing order.\nAnswer: 2\/3, 0.3, -4.4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-1 - 5) + 2)) + 12 + -10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(220)\/sqrt(4) + sqrt(55)) - 6*sqrt(165)\/sqrt(3))\/(sqrt(20)\/(sqrt(196)*-2 + sqrt(4))).\nAnswer: 156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1444454559*m - 127636262 wrt m.\nAnswer: -1444454559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(112) - sqrt(112)))*4 - ((sqrt(252)*-1*2)**2 + 4).\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -684436 less than -2.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17655*a**2 - 10*a. Suppose 4*m = -2*k + 8, -2*k + 4*m = 2*k - 40. Let j be v(k). Round j to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (7 - 5) - (215 + -199)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 5. Let a be m(4). Suppose 6*u - 23 = a. Suppose -u*r = -2*t + 26 + 2, 5*r + 40 = 5*t. Solve -o = o + t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190366?\nAnswer: 2, 11, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Let x be (2 + -76)\/(-1 - 1). Suppose f - x = -5*j + 5*f, 0 = -j + o*f + 20. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a + 129. Give c(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let v be a(3). Suppose 5*s + 79 = n + 227, v*n - 66 = -2*s. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2220 + 1287*f + 1718*f - 3988*f + 2103*f + 5*f**2 = 0. What is f?\nAnswer: -222, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - s + 2)*(-8*s**2 + 5*s**2 + 2*s**3 - s**2).\nAnswer: -2*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*n**5*t + 2*n**5 - 18*n**2*r*t + 2*n*t - 7*r wrt n.\nAnswer: 300*n**3*t + 40*n**3 - 36*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.8 - 484.\nAnswer: -494.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2328320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.3 + -4410422804.\nAnswer: -4410422812.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 - 77 = 4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 409, 820, 1231, 1642?\n\"Answer: 411*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**12\/(m**(-1\/3))**37 assuming m is positive.\nAnswer: m**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*i**3 - 46*i**2*k**2 - 2*i**2 + i*k + 2*k**2 - 190*k wrt i?\nAnswer: 48*i - 92*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1846 + 1850. Which is the nearest to 0? (a) -3 (b) y (c) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*h - 2*p, 5568*p + 20 = -5*h + 5567*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728827041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 8*h - 10. Let a be n(5). Suppose 0 = -5*j - 4*z - 201 + 975, -a*j - 5*z + 775 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 38. Let h = 16.1 - c. Suppose -43*b = 4*i - 44*b - 15, -5*i + 15 = -5*b. What is the third biggest value in 2\/11, h, i, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -57. Suppose 4*z - 22 = -s, 0 = -s + 3*z - c*z + 7. Suppose -r = -s*o + 4, 3*r = 3*o - 1 - 2. Solve 3*w = r + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 13) to base 14\nAnswer: -13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 7*r**2 + 136*r + 35. Let u be l(-13). Calculate the greatest common factor of 54 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5927*v + 3048*v + 23658 = -1107192 for v.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from mymazol?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.85983 litres to millilitres.\nAnswer: 83859.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 6*f**4 - 7*f**2 + f**2 + 5*f**4 as d*f**3 + n + x*f + y*f**2 + k*f**4 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + 3*f + 3. Suppose -2*l + 8 = 2. Let s(o) = -2 + o - 5*o - 3*o**3 + 0*o**l + 2*o. Determine 2*n(k) + 3*s(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4148*o**2 - o**3 + 2*o**3 - 4148*o**2 - 11*o.\nAnswer: o**3 - 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -1282 = -5576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26434 times -1?\nAnswer: -26434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(612) + 5)*-6 + -5*(sqrt(612) + 2)*3)**2.\nAnswer: 45360*sqrt(17) + 820476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*l + 3*z, -36 + 59 = 3*l - 4*z. Suppose 1 = -q, -4*d + 0 = 3*q - 29. Calculate the lowest common multiple of d and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 503108 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 12*x**2 - 137*x + 341. Determine z(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4092519?\nAnswer: 3, 157, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:19 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2850, -11129, -24856, -44031?\nAnswer: -68654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Suppose 2*g - s - 8 = 5, -l*g = 5*s - 19. Calculate the highest common factor of 18 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*a**2 - 2*a**3 + 2*a + 496*a**2 + 279*a**2 in the form c*a + r*a**3 + s*a**2 + d and give s.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -35.2. Let p = -1.2 - d. Which is the closest to -1\/2? (a) -1 (b) p (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*z**2 - 3*z**2 + 0 as q*z**2 + p*z + r and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -14.64817?\nAnswer: 11.64817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (5 - (-2 - -10)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*u = -576*u - 63445. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(1900))**2 - (-3*sqrt(1900) + -5).\nAnswer: 30*sqrt(19) + 17107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 267729937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 412 - 31?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(252)*5.\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3076, -12333, -27752, -49327, -77052, -110921?\n\"Answer: v**3 - 3087*v**2 - 3*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f\/(f*f**18*f))\/f))\/(f**(5\/8)*f*f) assuming f is positive.\nAnswer: f**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.54. Let x = 0.5 + -0.2. What is the closest to l in x, -1, -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 575 or 574?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192110 and 2766384.\nAnswer: 13831920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/2 - 93823*b = 0.\nAnswer: 0, 187646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**22\/g*g)\/g*g)))\/g)\/g**(-5) assuming g is positive.\nAnswer: g**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 25, -5*v + 5*g = -25 - 60. Suppose 2*u - v = -2*u. What is the closest to -2 in 0.2, -2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)\/(u*u\/(u**1\/u*u)*u))**(-29)\/((u*u*u**(3\/8))\/(u\/(u**7*u))*(u*u**(-3\/2))\/u*u*(((u**(-1\/11)\/u)\/u)\/u)\/u) assuming u is positive.\nAnswer: u**(20863\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 6 - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23502714*o + 131138502?\nAnswer: 23502714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbr when three letters picked without replacement from rzrzb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637 = 70*g - 161*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8499996804 - -1.85. What is z rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11932\/(-912))\/(-157)*(-16)\/18?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -90?\nAnswer: -90.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/12 + 7*b**3\/6 - 20*b. Let m be f(-5). Let w be 1\/(m\/((-8)\/(-4))). What is the biggest value in 1, 1\/3, w, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, o: 6, a: 3, t: 2}. What is prob of sequence aoo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293814523 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(4\/3)*b)\/b)*b**(-3))**(-13\/3) assuming b is positive.\nAnswer: b**(169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 6, -2175*k - 3*w + 1 = -2173*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-18) - (-98670)\/3105\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209454 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 1. Let d be u(1). Suppose 5*y = -w + 303, d*y + 5*w - 135 = -2*y. Suppose -2*c + s + 16 = 4*s, s + y = 4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 + 10))\/(99\/66).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/7348754 and -55\/582904?\nAnswer: 205765112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 2*k**2 - 6*k + 8. Let x be y(-4). Which is the smallest value? (a) 34 (b) 2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.472008kg?\nAnswer: 3472008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - o - 5. Suppose t - 2*k + 6*k - 26 = 0, -3*k = -3*t + 3. Let x(a) = -a + 3*a**2 + 10*a - t*a. Let v be x(-1). Calculate l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(-2*j + j + 2*j)*(-59 + 1739*j - 3774*j - 4*j**2 + 2039*j) to the form o*j**3 + u + l*j + h*j**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -59*k + 902. Give c(13).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 1\/24*z**4 + 0*z + 0*z**3 + 0 + 42*z**2. Let y(d) = 57*d**2. Determine y(u(x)).\nAnswer: 57*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 29, -1.\nAnswer: -5, -1, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43756.607 + 43796. Let u = -0.007 - n. Let y = u - -36. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 4 (c) 2 (d) -1 (e) -66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2752 = 4*a, -3*a - 5*k = -10*k - 2058. Suppose 3*l = -2*q + 280, -5*l - 221 = 4*q - a. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 - -128?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 4 + 2807\/1764*-3 and 29\/66.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 71 = -81. Solve 5*q = 6*q + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4473, -17832, -40077, -71202, -111201, -160068, -217797, -284382?\nAnswer: -359817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -1\/60*t**5 + 1\/6*t**4 - t**2 + 0 + 0*t**3 + 0*t. Determine r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*v + 27, 2*v = 5*k - 2*k + 23. Let j be 0 + k - (-15 - -14). Is 7\/(14\/j)*-3 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 265650 and 21?\nAnswer: 265650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5853464156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**19\/(x\/(x*x**(1\/27))))\/(x**(-35)\/x**(2\/49)))**43 assuming x is positive.\nAnswer: x**(3076435\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528 is divided by 1435.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/120 - l**5\/20 - l**4\/12 + 5*l**3\/6 + 19*l**2. Let a = -11 - -7. What is the remainder when i(a) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 3968.\nAnswer: 3972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23779217 + 23779252 = 5*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c50b8 + 0?\nAnswer: c50b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 7 + 3)*(-3 + 3 - 2*t) + (-5 + 5 - 2)*(5*t + 4*t - 5*t))*(0 + t + 0) + t**2 + 3*t**2 + 5*t - 6*t.\nAnswer: -20*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 120352?\nAnswer: -120354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16125 = -5*c + 4*z, -4 = 4*z. Let x be -3 - -5 - c\/(-979). Let l = -2\/89 - x. What is the common denominator of 26 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v + 113. Let o be t(12). Suppose o = -5*u + 10. Let p(g) = 3*g**3 + 2*g**2 - 1. Calculate p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 0*h + h + 87*h - 2*h**2.\nAnswer: -2*h**2 + 90*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 2?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (25 - 43 - (13 + (-4 - 1))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/88 + 111\/1221. Let z = -0.08 - -5.08. Let m = -5.01 + z. Which is the third biggest value? (a) -4 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-20)*8\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from ahghhhtaahwahtg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*a + 6 = 4*a, 3*i - 4*a + 17 = 0. Let c = i + 10. Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77, -20, 79, 220, 403, 628, 895?\n\"Answer: 21*f**2 - 6*f - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 221)\/1 - (0 + 1). Let k = -132 - w. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4910009 - -4910008.87329321. Let t = r + 0.1267. Round t to seven decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 5) - (36 - 35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -907*k**5\/5 + 5735*k**2\/2 - 23*k - 98. Differentiate t(z) wrt z.\nAnswer: -10884*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - f - 12 = 0, -23*v + 25*v = -3*f + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/9 + 154*n\/9 + 1340\/9 = 0. What is n?\nAnswer: -67, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = 2*q. Suppose -4*x + 3*x + 34 = 3*f, q*f - 31 = x. Let g be (4 - -1)*(-12 + f). Solve 3*l = g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79452?\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + u**2 + u + 10. Let d be p(0). Put -3, -1, d in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 + 2 = 0. Let n = z + 19. Let r be 27\/(-6)*(-4 - n). Is 26 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z = -47*z + 50. Calculate the remainder when 33 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 - 2*j + 5. What is f(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(6) + 2 + -1 + -4*(sqrt(153)*3 - sqrt(153) - sqrt(153))**2.\nAnswer: -611 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -31. Suppose -u = 7*x - 9*x. What is the highest common divisor of 38 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01629765 rounded to 4 dps?\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1264 by 152.\nAnswer: -158\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**13\/s*s))\/(s*s\/s**(2\/7)))\/(s**(1\/9)*s**4) assuming s is positive.\nAnswer: s**(-1123\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16274 - 3?\nAnswer: -16277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 0.047, 864 in ascending order.\nAnswer: -2, 0.047, 2, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(30)*2)\/((sqrt(30) + sqrt(270))\/sqrt(3)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 23*w + 114 = 0. Solve w = -4*m - 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79519 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*m - 18 = 0, -2*m - 25 = 3*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9322 and 16402.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 2*q - 3. Suppose 0 = 2*i + 2, 3*i + 0*i + 7 = s. Suppose -w = 4*g + 5, 2*w + 3 = w - 3*g. Let z be w\/(-6) + 14\/s. What is u(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 432096?\nAnswer: 432096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -17. Suppose 4*a = 4*c + 12, -5*c + u = 3*a - 2. Suppose -a*l + 12 = -33. Solve -4*w = 5*n + 35 - 4, -l = 3*w + n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -1, 1, -26 in descending order.\nAnswer: 2, 1, -1, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1031262 and 73\/53969378?\nAnswer: 161908134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 8 = -2*y, 0 = 5*y + 237*i - 236*i - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*b**3 + 329*b**3 - b + b.\nAnswer: 131*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 8*v**2 - 12*v - 5. Let d be z(-7). Let w = -77 + d. Suppose -135 = -4*l - w. What is the least common multiple of l and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (40\/(-5) - -7)*-1*253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9408)\/147*272\/(-10) + (-2)\/(-10) is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * 452260\nAnswer: 126632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/((y\/y**(1\/5))\/y))\/y)**(-1\/30)\/(y**(-1\/13)\/y**(-8\/3)) assuming y is positive.\nAnswer: y**(-2564\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from wwyw.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 4*l + 3. What is the remainder when 8 is divided by k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1053 and -50.120706681.\nAnswer: -50.015406681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, 2, -503?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3201363 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7371610, -7371615, -7371620?\n\"Answer: -5*x - 7371605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 10*v - 7. Suppose h - 68 = -16*h. Let t be f(h). What is the common denominator of -17 and -7 + 65\/10 - (t - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 1:48 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (6 + 0 + -2 + 15 + -23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - 1389\/8. Which is the third smallest value? (a) -0.4 (b) -5 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7674 is divided by 7631.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 4*u + 0*u**3 + 0*u**4 + 9\/2*u**2 + 7\/20*u**5 + 0. Find the first derivative of d(j) wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 272 - 295 + 2*h)*(-39 - 35 - 143) in the form w*h + x and give x.\nAnswer: 4991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56494300?\nAnswer: 2, 5, 229, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*b - 41544 = 0, -5*v + 6*b + 41538 = 2*b. Let k = -28310 + v. What is k rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.662 - -0.062. Let l = -0.02 - -3.02. Which is the third biggest value? (a) f (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3880 and 1780920?\nAnswer: 1780920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Let j = p + 3.5. Let g = 5 - 7. What is the closest to 0.1 in j, -3, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklkkl. Give prob of sequence kkl.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 2)\/((-40)\/50). Let u be 0 - -4*(-1)\/2. Sort q, 0, u in ascending order.\nAnswer: q, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + h**2 + 4*h**2 + (0 - h + 0)*(5*h - 5*h - h) + 3*h**2 + h**2 - 3*h**2 + 5*h + h**2 - 5*h to the form o*h + u + y*h**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:22 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187182364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + z - z + (z**2 + 4*z - 4*z)*(4*z - 6*z + 0*z) + (-6 - 3*z + 6)*(5*z**2 - 2*z**2 - z**2).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - 8) + (7 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 10025806.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(4\/3)\/c*c*c)\/c)\/c*(c\/c**7)\/c*c*(c**(-2\/3))**50)\/(c\/(((c*c**10)\/c*c)\/c)*c*c*c*c**(1\/2)\/c)**(-31) assuming c is positive.\nAnswer: c**(-481\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1346 = 1289*u - 504 - 875 + 147 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -c5077 (base 13) to base 3\nAnswer: -122222100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13000 (base 4) in base 10?\nAnswer: -448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/52)\/((-5)\/(-12))*(-235)\/(-47)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*-2*(-1)\/(-2). Suppose 5*u - a + 7 = 0, -u + a = -1 + 4. Let f = u - 2. Sort 5, m, f in decreasing order.\nAnswer: 5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 + -176. Let q(n) = 6*n**2 + n - 1. Let z(o) = o**2. Give m*q(x) + 2*z(x).\nAnswer: -4*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*a = -23, 0 = -g - 3*a - 14 - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 13*d**2 - 32*d + 20. Let p be u(10). Solve p = -5*g + 5, -3*t + 2 = 3*g + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/5, -4, -3\/7, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331202031 (base 4) in base 12?\nAnswer: -420b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 7. Let n(i) = i - 4. Let s be 54\/(-8) + (-6)\/24. Let r(v) = 3*v - 11. Let c(w) = s*n(w) + 2*r(w). Let g(m) = 2*c(m) - 3*j(m). What is g(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/104973079 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2 - 1577772*u + 20511712 = 0.\nAnswer: -394456, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 4\/3*a**5 + 0*a**3 + 0*a - 7\/45*a**6 - 21*a**2 + 2\/315*a**7 - 4*a**4 + 0. What is m in x(m) = 0?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15 = -l, 2*l = 4*p + 42 - 12. Suppose -2*a = -a - l. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 390079\/780166 - -2\/390083. Suppose -4*x - 4*s + 12 = 0, -5*x + 6 = -3*x + 3*s. Let -3\/4*c - 3*c**4 - o + 7\/4*c**5 - c**x + 7\/2*c**2 = 0. What is c?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/1372326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 4) to base 8\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-15\/7)\/f*f*f)\/f**(-2\/23)*f*f*f\/(f*f**(-25))*f*f*f**(-2\/61))**(-49) assuming f is positive.\nAnswer: f**(-1918819\/1403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - v = -43, 2*v = -4*i + 3*v + 55. Suppose 2*f - 3*f - 17 = -3*h, 0 = 4*h + f - 11. Let r = h + i. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 0)\/((-24)\/36). Let g be (b\/2)\/(3\/(-4)). Solve 1 = g*d - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -68*i - 4. Let x(d) = -67*d - 4. Let a(y) = 2*j(y) - 3*x(y). Suppose 7 + 2 = 3*o. Is a(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3) - 1) + (-583)\/66. Let p = -8 - v. Let t be 2\/(-4)*8\/6. Which is the closest to 0? (a) t (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 7*s - 5. Let k = -14 + 46. Suppose -l + 5*w = -42, -w - 48 = -2*l - 0*w. Let g = k - l. Let t(h) = h**2 - 3*h - 2. Give g*t(o) - 4*n(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 24. Let s(g) = -10*g - 47. Suppose -2*y = t + 4 + 1, -5*y = -4*t - 7. Let a(z) = t*s(z) + 7*i(z). Let h(u) = 4*u**2. Determine h(a(m)).\nAnswer: 16*m**2 - 432*m + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-655)\/2620)\/((-2)\/4208). What is the second smallest value in -0.2, 0.09, o?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1300) + -1*sqrt(1300)*-3)**2 - (sqrt(1300) - 1*(sqrt(1300)*3)**2)).\nAnswer: -10*sqrt(13) + 32499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*u + 62, -5*d + u + 0*u = -121. Let s = d - 23. Let j(z) = -502*z + 4. Let y be j(s). What is y rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 32 = x + 3*x, m - 3*x = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 11573355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 2\/33, -1, -6, -0.3 in decreasing order.\nAnswer: 2\/33, -2\/13, -0.3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3\/6 + 2*h**2 - 152*h - 1. Suppose 0*y - 15 = y - 2*w, 0 = -2*y - 4*w + 2. Let j(f) = 3*f + 9. Calculate y*p(x) + 3*j(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -23315.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*y - 7. Suppose 6 = 2*v + 4*w, 5*v + y*w + 0*w - 3 = 0. Is 4 a factor of v\/(((-6)\/(-45))\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -89*o**2 + 5*o - 3. Let a be z(4). What is the common denominator of 220\/(-80) - -2*(-6)\/4 and (3*8)\/(a\/(-14))?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (22 + (5 + 1 - (-40 - -43)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2469284*a + 1. Let u(w) = -w**2. Give y(u(b)).\nAnswer: -2469284*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -2 + 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -101.\nAnswer: -5\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3739*d + 7. Let j be n(6). Let y = j - 96441. What is y rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3853029 litres in millilitres?\nAnswer: 385.3029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 2 (c) 0.01 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*g - 6*g - 310, 2*w - g = 298. What is the highest common factor of 42 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*n = -4*z + 9, -z + 2*n - 6 = 0. Let p(s) = -s + 4 - s - 1 + z. Let x(r) = -4*r + 7. Determine -9*p(h) + 4*x(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 3. Let d be l(3). Suppose 2*g = -d*g - 3*p + 53, 2*g - 16 = 4*p. Solve -5*m + 0*m = -3*r + 6, -5*r + g = -2*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 - -481 - (20 - -1) - 38?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 982229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 600986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/5)*n*n**(-14)\/n*n*n*n**(4\/3)\/((n*n**0)\/n) assuming n is positive.\nAnswer: n**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*d + 323 = 0, 4*g + 2*d + 183 = -459. Let h = g + 484. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/10 - (-3)\/(-5). Suppose 22 = 3*l - i. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*p = -15. What is the tens digit of 46 - (-1)\/(p - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91163296 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 16 = -3*v, 3*d + v - 8 = 0. Solve -16 = -3*z + d*l, 3*l - 2 = -z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 14193, 6.\nAnswer: -8, 6, 14193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 3*b - 2. Let l be o(4). Suppose l*y = -3*y. Is (y + (-339)\/15)*-5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*f - 7330 = -323*f. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*n**4 + 39*n**4 + 5*n - n**2 - 2*n - 198*n**4 in the form y*n**2 + v*n**4 + p*n**3 + l*n + x and give v.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46214 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12643 - 454?\nAnswer: -13097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17529064.\nAnswer: 2, 7, 97, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 12*p + 102 = 10*p. Solve -2*k = p*k + 20, 5*t - 5*k = 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -1 - (-1 - -3). Let o = r - -1. What is the second derivative of o*f + 0*f**3 + f**3 - f - 3*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304722354 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) + sqrt(405) + -3 + 4 + -4 + 5*(sqrt(405)*4*3 + sqrt(405)))**2.\nAnswer: -3618*sqrt(5) + 1818054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (521 - 521 + q**3)*(6 + 0 - 4).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 68. Put v, -22, 0.5 in decreasing order.\nAnswer: v, 0.5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26305 (base 10) in base 5?\nAnswer: -1320210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*a + 18, -74*f - 5*a - 23 = -71*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -108706 (base 11) to base 16\nAnswer: -2a208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + -3 + -4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 0*g**2 - 5\/6*g**3 + 2*g + 17 + 1\/10*g**5 + 0*g**4. Suppose b(k) = 0. What is k?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 9 + 12 - y - 1 - y + 1 - 2*y - 2*y + 6*y + (-2 + 2 - 1)*(4*y - 3*y - 3*y) - 3*y - y + 3*y to the form v*y + q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 4. Suppose 0 = -2*q + 2*f + 8, -3*q + 10 = -q - 3*f. Let d be m(q). Let w = 5 + d. Solve -2*x + 4 = 0, -g - w = 4*g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/70 - 12\/(-7). Suppose 0 = -4*u - 16, -z*j - 4 = 2*u - 0. Suppose -g = -0 - j. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2051*k = -1086*k - 1117*k + 13072 for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -29\/101, -2914?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 95, -3\/4, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + l - 44325 = 0, -4*m - 3*l + 26801 + 61850 = 0. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665827 is divided by 2858.\nAnswer: 2771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h - 22*h + 74*h - 3 to the form d*h + k and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35122, 0.01, -1\/6, -4\/5, -0.1 in decreasing order.\nAnswer: 0.01, -0.1, -1\/6, -4\/5, -35122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(204) - ((sqrt(204) - (sqrt(204) + sqrt(204)*1 + sqrt(204))) + sqrt(204))) - sqrt(204))\/(sqrt(108)\/(sqrt(9) - -3*sqrt(9))))**2.\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 + -169. Let y = 3 + 1. Solve 2*d + 3 = -5*u + 11, -y*d = -i*u + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*s + 142*s + 390*s.\nAnswer: 1005*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692233.5ml to litres.\nAnswer: 692.2335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8165834 litres?\nAnswer: 816.5834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*f - 7 + 52, -4*s + f + 41 = 0. Suppose -2*b + 12 + 0 = 0. What is the smallest common multiple of b and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/(sqrt(50)\/sqrt(10)) + sqrt(50))\/sqrt(10))**2*6.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618052 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -12*x - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let q(m) = m + 2. Let h be q(o). Suppose 4*b = -8, h*d + 0*b - 117 = b. What is the remainder when 90 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34526 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -310*n + 36. Let l(m) = -3410*m + 405. Let d(g) = -4*l(g) + 45*x(g). Let k(t) = -20*t. Determine d(k(j)).\nAnswer: 6200*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 12. Let h be q(-7). Put h, -25, -1 in increasing order.\nAnswer: -25, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3 - 1)\/2. Let d be c\/2*0\/(-3). Suppose -2*t + d*t = -48. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 divided by -13?\nAnswer: -207\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 5*m**4\/12 + 4062*m. Let k = 2 - 0. Let a(g) = 0*g**2 + g**2 - 2*g**k. Determine a(w(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*x = -2312, 11*x - 3864 = -5*t + 7*x. List the prime factors of t.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v - 753747 + 754501 = 0 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 352 = -54*g + 111*g for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10951 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45634 in -1, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*y - 26129 - 7228 = 9963 + 22305 for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 9*b - 8. What is the units digit of c(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29554200 and 49651056.\nAnswer: 1241276400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -218729675 divided by 5?\nAnswer: -43745935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8549, -34078, -76621, -136178, -212749, -306334?\nAnswer: -416933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/14)*d**(5\/3)\/d*d)\/(d**5*d*d\/d**(-5)) assuming d is positive.\nAnswer: d**(-389\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2 = -4*y + 1, -2*y - 5*s = -7. Let h = 9 - 3. Suppose 0 = -2*m + h*m. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 749\/84 - 8 - 1\/4. Let g be (1\/2)\/((-15)\/6). What is the nearest to -2\/5 in g, v, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from ddidiiidiiiiiiiidiii?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.069818ml?\nAnswer: 0.001069818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158 and 3667022.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -61. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*f - 2 - 97*f + 5*f.\nAnswer: -81*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 128 = -p. Suppose 2*y - p = 2. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -163*g**2 + 258 wrt g?\nAnswer: -326*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-5))\/1 - (-3880)\/(-25). Let v = 311\/2 + g. Factor 1\/4*y**3 + v*y**2 + 0 + 1\/4*y.\nAnswer: y*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 4:29 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31643580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5226\/(-536) + (-3)\/(-4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 387*v**5\/10 - v**4\/6 + 915*v**2\/2 - 1244*v. Differentiate t(s) wrt s.\nAnswer: 2322*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 0.21711497.\nAnswer: 4.21711497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222210020 + 10?\nAnswer: 222210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12213580 divided by -190.\nAnswer: -64282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by -32.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {j: 2, a: 1, e: 1, n: 1, k: 2, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((55\/50)\/((-803)\/(-292))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*v + 46 = 0, 3*v + 0*v = -4*z + 48. Suppose 5*b - 8*b = -z. Find the third derivative of -11*l**b + 21*l**4 - 2*l**2 - 21*l**4 wrt l.\nAnswer: -660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*i - 12118 - 8148 = -258*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16015323 - -1424?\nAnswer: -16013566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z - 10. Suppose -5*k - i = -8, 2*k + 7*i + 6 = 2*i. Suppose 7 = -4*o - 9, 0 = -k*g - 5*o - 10. Let a be r(g). Solve l = -3*l + a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-5) - 10\/25. Let h(p) be the first derivative of -p**4\/4 - 7*p**3\/3 - p**2\/2 + 5*p - 1. What is the tens digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546184 divided by -12.\nAnswer: -136546\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 15\/(-5) - 3\/(-4). Which is the biggest value? (a) z (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/(-50*2\/(-180)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1300340205?\nAnswer: -1300340204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -177, -171, -153, -117, -57, 33?\n\"Answer: c**3 - c - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/1)\/(12\/60). Let i be 4\/(-2) + 60\/2. Let s be (-18)\/14 - (-8)\/i. Put o, s, -4 in increasing order.\nAnswer: o, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 (base 11) in base 4?\nAnswer: 23133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 230 = 63*v - 26*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 115*i - 158*i)*(-1 + 0 + 2).\nAnswer: -43*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9454, -9940, -10770, -11944, -13462, -15324, -17530?\nAnswer: -20080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -189. Let x = r + 87. What is the closest to 2\/3 in 0.2, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 - 0 - (-8 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4961, 1, 14?\nAnswer: 4961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s + b, -597 = 3*s + b - 616. Suppose -3*m = m. Which is bigger: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 23*t**2 - 23*t + 13. Suppose 21 = -3*o - 3*s - s, 2*o + 18 = -4*s. Let x = -19 + o. What are the prime factors of d(x)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*q - 24*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101100100111110001 (base 2) to base 11\nAnswer: -115354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 6*n**2 + 8*n - 8. Let h be b(8). Calculate the highest common divisor of h and 22540.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21 + 24500 - (21 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1603 = -2*t - 1582 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 14*q**2 - 183*q + 45. Calculate the lowest common multiple of d(13) and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-11)*h*h)\/h*h*h*h*h**(-41)*((h**(3\/26)*h)\/h)\/(h\/(h**(-33)*h)*h) assuming h is positive.\nAnswer: h**(-2103\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 7\/2*g**2 + 2 - 1\/3*g**3 - 3*g. What is the units digit of h(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 11*t**2 - 2*t - 15. Determine p(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 0)\/(9\/(-81)) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 61*n - 834. Give t(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from elcyeuyllpy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t - 13 - t**2 + t + 4*t + 11 in the form a*t + o + u*t**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 + -92. What is the remainder when k is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**2 - 1054*j + 6389. Let k(v) = -2*v**2. What is i(k(f))?\nAnswer: 4*f**2 - 1054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -58*y - 1. Suppose 29*o + 4 - 35 - 27 = 0. What is w(o)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59, -67, 21, 253, 677, 1341?\n\"Answer: 8*w**3 - 64*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2993.8 - 2990.8. Which is the second smallest value? (a) s (b) 0.119 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63504 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1315.6 to the nearest 10.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 4*r - 15. Give i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2, s = 3*o - 3*s - 20. Suppose 0 = -4*h - 11 + 43. Solve -3*m + 2*i = 27 - 7, 0 = o*m + 2*i + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 152*v**2 - 168*v - 2564. Determine i(-151).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (98\/(-70) - (-9)\/(-15)). Sort -1016, o, -2, -1 in descending order.\nAnswer: o, -1, -2, -1016","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1268306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6883693*d*o**3*q**2 - 10*d*o**3*q - 4*o**3 + 10510807*q**2 wrt d?\nAnswer: 6883693*o**3*q**2 - 10*o**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Factor b**3 + 8*b**2 - 19*b + 10.\nAnswer: (b - 1)**2*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 509064*b - 178001 wrt b?\nAnswer: 509064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -2\/7, 1.174, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -100196*n**3 - 5*n**2 + n - 24. Let i be a(-8). What is i rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 123362?\nAnswer: 740172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102998 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192668025 divided by 2568907.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00172217187 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 92*a - 2100.\nAnswer: -(a - 50)*(a - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*j = 75*j. Suppose 3*l + 25 + 11 = 0. Sort j, -3, l in increasing order.\nAnswer: l, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 16*s + 12*s - 886, s = 2*k - 599. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/h**34)))\/h**(-2\/29))\/((h\/h**11)\/h)**(2\/13) assuming h is positive.\nAnswer: h**(-11777\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - g = 29, -9*g = h + 26 + 11 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 - 112*a**2 + 56*a - 56. Let n(y) = 2*y**2 - y + 1. What is -5*i(v) - 280*n(v)?\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 11) in base 6?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1988*m + 64*m + 499*m**3 + 4*m - 159*m**3 - 25*m**5 + 680*m**2 + 640 - 90*m**4 = 0. Calculate m.\nAnswer: -4, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*v - 2*y, 2*y = 3*v + 7 - 13. Solve 2*t + v = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18352 and 4661656.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = -4*z - 17, -3*u = 3*z. Let r(d) = -d**3 + 5*d**2 - 5*d + 3. Calculate r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(972) - -4*(sqrt(972) + 1)**2.\nAnswer: 126*sqrt(3) + 3891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 - -0.8. Let m = 3108\/5 + -27967\/45. Which is the second biggest value? (a) -0.1 (b) m (c) n (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:53 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 3*j**2 - 109 - 29*j**2.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.52022 + 3.22022. Let s be (8\/10)\/((-1)\/35). Let i be (-4)\/(-9)*6\/s. What is the nearest to a in -2\/5, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 27*l - 27. Give b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/42 and -65\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 2*t + 1. Let r(u) = u - 5. Let f(h) = 1. Let q(y) = 4*f(y) + r(y). What is the remainder when n(2) is divided by q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -165 - 21*d**2 + 2*d**4 - 23240*d + 8*d**3 - 4*d**2 + 23242*d + 167 as j*d**4 + w*d + b + r*d**2 + v*d**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 77178?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a\/(a*a**(-2\/13))))\/a)\/(a\/(a**(-9)*a)))\/(a**2)**(7\/2) assuming a is positive.\nAnswer: a**(-197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 31, 92, 209, 400, 683, 1076?\n\"Answer: 3*h**3 + h**2 - h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036940.\nAnswer: 2, 3, 5, 17, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5267793?\nAnswer: 3, 397, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.58228 + -22.59. What is x rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111101110011000010111 (base 2) to base 15\nAnswer: 29eedd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31394 - 31427. Let m = -329\/8 + 41. Is m > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 37*x + 42. Let r be s(38). Find n such that 36*n**3 - 12*n**2 + 23915*n**r + 12*n**3 - 23936*n**4 = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183\/95 + 29\/19. Let h = 14.8 - -48.2. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*l + 5*a + 5, -4*l + 28 = -4*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 4*x - 8. Let y(v) = v**2 - 3*v + 7. Let z(i) = 6*t(i) + 7*y(i). Calculate z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:48 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 1560 = 37*t. Suppose -v = -0*v + 1, 3*c - 305 = -v. Let f = c + t. What is the third smallest value in 1\/10, f, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1140 and 75\/(-50) + 846\/532.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -24*g + 95. Let c(t) = 21*t - 95. Let a(u) = -6*c(u) - 5*z(u). Calculate the remainder when a(-18) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6101122mm to micrometers.\nAnswer: 610.1122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5592477 and 5754.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1323, 1780, 2237, 2694, 3151, 3608?\nAnswer: 4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-2)*16\/(-24)*-3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51697?\nAnswer: 17, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**7\/5040 + f**5\/60 - 3*f**2. Let d(p) be the third derivative of n(p). Let t(l) = 2*l**2. Give d(t(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 - 151. Solve -a*j + 0*j + 2*k + 2 = 0, 0 = -j + 5*k + 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -3997651?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000342959 to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185456 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 6. Let v(l) = -l + 1. Calculate -5*j(s) + 30*v(s).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 54, 121, 208, 321, 466, 649?\n\"Answer: m**3 + m**2 + 43*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 1 - s**4 + 3*s + s**3 + s + 2 in the form a*s**2 + x + k*s**4 + j*s + q*s**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 - (-2 - (-36)\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 45. What is the closest to 1 in 4, 4\/5, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g. Let s(d) = -57*d**2. What is u(s(p))?\nAnswer: -456*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7036 = 4*x + 3*s, x - 484 = 2*s + 1286. Let m = -617 + x. Suppose 0 = 5*a - 5, -2*q - q - 5*a = -m. Round q to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3\/3 - 247. Let n(l) = 21*l**2 - 3. What is x(n(h))?\nAnswer: -441*h**4 + 126*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 299118535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2*i + 95*i**3.\nAnswer: 95*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:14 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 6. Let s(i) = 1799*i**2 + 834*i**o + 11867*i**2. Let h be s(2). Round h to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 31.1. Let r = -515.03 + 515. What is the biggest value in 5, d, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*d + 13, 0*d + 21 = 3*c + 5*d. Suppose -5*z = 4*y - 29, -3*z + z = 3*y - 13. Sort z, 1, c in increasing order.\nAnswer: 1, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77215 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from {y: 1, z: 4, f: 8}?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:53 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4303.\nAnswer: 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + 10 + -7 + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35333 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 1178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 777c (base 14) in base 15?\nAnswer: 61e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82866 = 62*k - 48*k. What are the prime factors of k?\nAnswer: 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 810 + -822. Let n(q) = -2*q**3 - 18*q**2 - 15*q - 32. What is the thousands digit of n(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zez when three letters picked without replacement from {v: 6, z: 4, l: 1, e: 4, a: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9*g**3 + 6*g**2 - 25*g + 30. Calculate m(5).\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/7)*f**(-5)*(f*((f\/(f\/(f*f**1)))\/f)\/f)\/f**(-1\/11) assuming f is positive.\nAnswer: f**(-268\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/69490 and -39\/22.\nAnswer: 764390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 171876*y**2 + 7*y - 7. Let i be j(-8). Suppose -4*q + 13750005 = -5*m + q, q = 4*m + i. Round m to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4297292.3 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -34) + (-15 - (32 + -28))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -23. Suppose -5*w + c + 541 = 0, c = -l*w + 2*c + 217. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -169738 != -169738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3552 less than or equal to -3554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426583 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1555.4 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 3. Let a(w) be the first derivative of -w**2\/2 + w + 182. Give -10*a(i) - 4*g(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2350355.72 and -5?\nAnswer: 11751778.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60916 divided by 388.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 70930000 to the nearest one million.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2722006*u**2 - 2673418?\nAnswer: -5444012*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-6))\/(-6 + (-17)\/(-3)). What is x in 0*x**3 - a*x**2 + 1\/2*x**4 + 0 + 0*x = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -39*s + 5. Let a(r) = r**2 - 2*r + 3. Let o(x) = 2*x**2 - 6*x + 9. Let g(p) = -6*a(p) + 2*o(p). Calculate m(g(d)).\nAnswer: 78*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 939556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: d92 (base 15) to base 13\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j\/((j**(-5)\/j)\/j))\/((j*j**(-1\/15))\/(j\/(j*j**8))) assuming j is positive.\nAnswer: j**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.1798 - -2.1798. Which is the nearest to 1? (a) 2\/3 (b) 4 (c) -50 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.264 - 0.054. Let i = 0.01 - x. Let g = 0.03 - -2.97. Sort 4, i, g.\nAnswer: i, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -29. What is the highest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18240.5, -2, 2\/7, -0.4, 3 in descending order.\nAnswer: 3, 1, 2\/7, -0.4, -2, -18240.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-4)\/8)*-4 + 4. Solve -3*q - 2*s - 2*s + 16 = 0, m*q - 2*s = -8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02554 and 0.4?\nAnswer: 0.37446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - (2 + -6 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240306583 divided by -4.\nAnswer: 240306583\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = -z + p, -823 = -4*z + 2*p + 453. What are the prime factors of z?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -9 - -10) + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-22)*(-50 + (61 - 20)).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 8) in base 13?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5076593572 to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39194 is divided by 299.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/270 - 17*m**4\/54 - 56*m**3\/9 - 464*m**2. Factor k(p).\nAnswer: -2*(p + 6)*(p + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 0\/((-2)\/(-2)). Let v be (5\/(-15))\/(1\/9). Suppose -2*z + i - 1 = -4*z, 13*z - i - 44 = 0. Put 4, t, v, z in increasing order.\nAnswer: v, t, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1012396798 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000048571 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 6 = -3*k. Let q = -1 - -3. Let v be 3\/(k\/(-4)) + q. Solve -6*i - 4*u + 4 = -3*i, -v*i + 2*u = 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42795 minus -1.94?\nAnswer: 1.51205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) -4\/25 (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -38. What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 80, 60, 22, -40, -132, -260?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1422*a**3 + 23*a**2 + a - 6169222 wrt a?\nAnswer: -4266*a**2 + 46*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275961412?\nAnswer: 2, 157, 439429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 49*d**2 + 294*d + 1. What is c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51474\/240 + (-19)\/190. Do f and 214 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = -4*d. Is (-24)\/16*3134\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -k - 297, 4*p = -p + 3*k + 740. Let f = -143 + p. Calculate the least common multiple of f and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85576.11 litres?\nAnswer: 85576110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from islissspsplsikp. Give prob of picking 2 l.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2 - 9*l. Let a be q(-1). What is the second derivative of 0*v**2 + 9*v**3 - 9*v**a + 0*v**2 - 39*v**3 - 50*v wrt v?\nAnswer: -234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17698307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*l - 11*l**4 + 19*l**4 + 37*l - 24*l - l**2 - 15*l**3 - 6*l**4 in the form v*l**4 + y*l**3 + f + b*l**2 + u*l and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.7, 1, 3\/11, -6.2044?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1573))**2 + (sqrt(13) - (((sqrt(78)*-1)\/sqrt(6))**2 + sqrt(13) - sqrt(13))).\nAnswer: -65*sqrt(13) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1432 (b) -32 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.413? (a) 2\/7 (b) 2 (c) 3\/8 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from ififwifii.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -61\/60*r**5 + 0*r - 2 + 1\/6*r**4 + 7*r**2 - 1\/6*r**3. What is the second derivative of q(s) wrt s?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - u + 122 + 235 = 0, 279 = 3*z - 3*u. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 15*p - 7. Let k be u(-5). Let n be (28\/(-2) - -4)\/(-1 + k). Factor 15\/4*c + n*c**3 - 5*c**2 + 0.\nAnswer: 5*c*(c - 3)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = w + 76. Let m = w - -45. Solve -5*c = -3*c + m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 3 - 3 + (0 - 2 + 0)*(-2*g - g + 5*g) + 16*g + 2*g - 5*g + (5 - 2 + 0)*(-2*g + 0*g + g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*y - 124*s + 121*s, 2*y - 3*s - 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**2 + 5*r - 21. Let k be a(3). Suppose -9*u = -k*u. Let g(v) = v - 6. Calculate g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4524 + 0.9876. Put z, 0, -1, 2\/7 in descending order.\nAnswer: z, 2\/7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1285, -1251, -1217?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1357477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*c**4 + 7 - 7*c**4 + 10 - 4 with respect to c.\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*u + 4751, 3*u - u + 2*s - 1886 = 0. Let r = u - 567. What is r rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**5\/20 - u**4\/6 + u**3\/3 + u**2 + u. Let o(z) = -5 - 3*z**3 + z**2 + 6*z**2 - 2*z**2 - 5*z. Calculate 10*i(t) + 4*o(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4*u + 3*k**3*u - 503120*k**3 - 17*k**2 - 292659*u wrt k.\nAnswer: 24*k*u + 18*u - 3018720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/7856362 and 17\/23972.\nAnswer: 204265412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049757283 - -983.933?\nAnswer: 983.883242717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2143 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 - 59) + 53 - (10 - 1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.7. Let d = -0.3 + k. Let q = -57 + 55. Is q not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.33 + 70. Let i = t - -0.03. Let r = -11268\/23 + 490. Which is the nearest to 2\/5? (a) r (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469 - 424. Suppose l + 544 = 2*i - 3*l, l = -3*i + 802. Calculate the remainder when i is divided by g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/235 and 36\/19129?\nAnswer: 95645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 7*a**2 + 11*a - 8. What is h(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5062731791 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j + 47. Determine r(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 1 + 4*x**4 - 3*x**4 + 4 + 3*x to d*x**4 + g*x + k + z*x**2 + f*x**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q, 3*v - 4*q - 48 = 0. Let u = v - -79. What is the remainder when u is divided by 24 + 0 - 0\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n + 5. Let f(s) = -11*s + 11. Let y(d) = 5*f(d) - 11*h(d). Let o(k) be the first derivative of k**2 - 2. Calculate o(y(z)).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 80. Is 11\/3 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2055 + -301. Let w = -4444 + z. Round w to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejt when three letters picked without replacement from akjekttetjkekknktej.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -3*g + g**2 + 2*g**2 + 0*g**2 + 6. Let i(x) = -2 + 0 + 5*x + 5 - 5. Calculate 3*i(q) - 2*w(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -171430*w - 20. Let j be k(-14). Round j to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346, -1, 5 in decreasing order.\nAnswer: 346, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 6*g - 37. Does 6 divide ((-36)\/14)\/(g\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s + 61. Let u be z(-6). Suppose -u*l = -16*l - 19074. Does 26 divide l\/77 - 3\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-20 - -6 - -17)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y - 8. What is the common denominator of ((-308)\/12)\/(((-188)\/(-329))\/(666\/(-210) - -3)) and 1\/y + 158\/(-200)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-240)\/(-64) + (-3)\/4. Suppose -2*r - 13 = -c*x, -x = r - 3*r + 1. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*q**3 + 267*q**3 - 497*q**3 - 9*q**2.\nAnswer: -7*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d + 166*d = 85*d - 217542. List the prime factors of d.\nAnswer: 2, 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161992777 to the nearest integer?\nAnswer: 12728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 + 31*x**3\/2 + 100*x**2 + 417*x\/2 + 495\/4.\nAnswer: (x + 1)*(x + 3)**2*(x + 55)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.8 and 2058.\nAnswer: 7820.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -31. Let v = t - 23. Solve -m = m + v*f + 3, 3 = -m - 4*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 383 or 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 588699060 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2003 + -2001. Calculate the remainder when 449 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*(-25)\/(-11). Let w = 51\/44 - i. Factor -1\/2 - w*a + 1\/4*a**2.\nAnswer: (a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 7*m - 18. Let q be x(-4). Factor -11 + 23 + 8*t**2 + q*t - 14*t + 12*t**2 + 4*t**3.\nAnswer: 4*(t + 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*k**2 - 4*k**2 + k**2)*(-5 + 2*k**2 - 2*k + 5) to r*k**2 + g + n*k + h*k**3 + f*k**4 and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/6, 4, -3, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 115*z - 115*z. Let p(r) = -13*r**2. What is t(p(m))?\nAnswer: 169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10103 - 213201223?\nAnswer: -213131120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 98. Let b(o) = 6*o**2 - 28*o - 8. Let g be b(z). What is the highest common divisor of g and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 4*w + 2*w**2 + 8*w**2 + (39*w**2 - 33*w**2 + 49*w**2)*((-4 - 3 + 6)*(-1 + 1 - 1) + 1 + 4 - 3).\nAnswer: 175*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/9*1\/6. Which is the third smallest value? (a) z (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498 a factor of 43632566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u + 1 + 1 + 4*u.\nAnswer: 37*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 680. Let i = 332 + u. Let y = i + 181.00000158. What is y rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -23 - 1) + (-55 - (-53 - (-15 + 26)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2015\/14 + -295\/2. Let n = x - -24\/7. Let k = 0 + 0.1. What is the smallest value in k, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k - 3*q, -8 = 2*q - 18. Which is smaller: -1\/53 or k?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:30 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 12ba?\nAnswer: -12ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 10 = 2*r + a, 0 = 2*r + 2*a - 10. Suppose 0*q + 4*k = 3*q - 19, -3*q + r*k + 17 = 0. Solve x + 2*x - q = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48379 - 0.49. Round r to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -61?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3839087 nanoseconds to microseconds.\nAnswer: 0.0003839087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 11. Find the second derivative of x + 2*x - g*x - 3*x**3 wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.025, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/12 and 1304 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-252)*-6*7\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 3*b + 22. Suppose -11*n - 17060 = -b*n. Does 50 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -28*z + 13\/6*z**4 + 0*z**5 + 0 + 0*z**2 + 7\/15*z**6 + 0*z**3. What is the third derivative of l(r) wrt r?\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*p + 13, -p = 3*y - 6*p + 5. Find the third derivative of -161 + 322 - 161 - 33*a**y - 4*a**2 wrt a.\nAnswer: -1980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 409418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7860, 7825, 7758, 7653, 7504?\n\"Answer: -n**3 - 10*n**2 + 2*n + 7869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 16 = 6. Solve -20 = x - 3*m - p, -24 = 4*x - 3*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103023 (base 4) to base 14\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(11\/(-165)). Suppose -4*q + 10 = -t. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m\/m**(-2\/19))\/m*m)*m)\/m**(-13\/2))\/(m**(-5\/4)*((m*m**10)\/m)\/m) assuming m is positive.\nAnswer: m**(-103\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62667 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3224, -6474, -9722, -12968?\nAnswer: -16212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 13\/329, 3, 0.2, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-5 - (-11 + -2)) - -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9320?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 16, -5*i - 16 = -r + 1. Let w(c) = 17*c - 5. Let h(v) = -35*v + 11. Determine i*h(t) - 7*w(t).\nAnswer: -14*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -160 (b) 1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2318 + -2294. Let a(k) = 27*k + 17 + 0*k**2 + 16 - k**2. Is 21 a factor of a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49420146 * 0.5\nAnswer: 24710073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35224 (base 8) to base 9.\nAnswer: -22512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 3*t + 125. Let j(d) = d**3 + 2*d - 126. Calculate -3*j(l) - 2*x(l).\nAnswer: -l**3 + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/60 - (-2)\/(-15). Let s be (1 - 2) + 1 + q. Which is the closest to 1? (a) -0.3 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.283 - 3315330.62\nAnswer: -3315330.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84526922\/5 or -16905383?\nAnswer: -84526922\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + 4*b. Let h(k) be the first derivative of k**3 + 3*k**2\/2 + 8. What is -3*c(t) + 4*h(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 24.44?\nAnswer: 537.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/17))**(1\/11)*(k*k**(-13))**(7\/10))**(2\/61) assuming k is positive.\nAnswer: k**(-15688\/57035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 441*r + 5. Let u(s) = -6*s**2 - 880*s - 8. Determine 3*u(b) + 5*y(b).\nAnswer: -3*b**2 - 435*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((-5 - -4) + -7). Are 5 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16348 - 13a0?\nAnswer: 14c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -18. Let v(i) = i**3 + 4*i**2 + 2*i - 1. Let z be v(-2). Let s be (-6)\/z - (w + -10). Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + -9 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**2 + 68*p - 1736 = 0?\nAnswer: -31, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -359, 3, -13, -4, -1, -2.\nAnswer: -359, -13, -4, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*h + 16, 3*q + 22 = 2*h. Let r(f) = f**3 + 6*f**2 + 4*f + 6. Let d = -16 - -15. Let x(m) = -m**2 - m - 1. Give d*r(s) + q*x(s).\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**3 - 19*i + 11*i - 76*i**3)*(1 - 2 + 3)*(-2*i - 2 + 2)*(-i + 0*i - 2*i).\nAnswer: -720*i**5 - 96*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290*g**2*q**3 + 2*g**2*q**2 + 2909*g**2 - 2*g*q**6 wrt q.\nAnswer: 1740*g**2 - 240*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aannnnnnnan. What is prob of picking 4 n?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 9 - (-1 + 10 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/15 + 552\/115. Suppose -3*u = 2*v - d*v + 6, -2*v - 3*u + 4 = 0. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 898 + -1aa3?\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011011110010001 (base 2) to base 13.\nAnswer: -1850b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136746824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Suppose j = -v + 4*v - 111. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286273.943358 - -225155.11333. Let d = -61119 - w. Let h = d + 0.17. What is h rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577277?\nAnswer: 19, 23, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 6*i = 371. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -14*g + 16 + 186, -g - 4*r = -0*r - 296 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 99?\nAnswer: 6.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) + (-27 - -7)*177\/(-236)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2010 + -1?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 474\/54 + ((-5)\/(-60))\/((-18)\/(-48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**3 - 766*v**2 + 12772?\nAnswer: 9*v**2 - 1532*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13446 and 409356.\nAnswer: 3684204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**2 + 1 - 1)*(3*p + 3*p - 2*p) + 2*p**3 + 1 - 1 + (-6 + 3*p**2 + 6)*(-2*p - p + 4*p).\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2365 (base 12) to base 11\nAnswer: 2a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*702\/156.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16209775*k**2 - 5 - 4*k - 16209742*k**2 + 5.\nAnswer: 33*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/5 - 4352*x**3\/5 - 2235534*x**2\/5 + 30306096*x + 6717989664\/5 = 0 for x.\nAnswer: -1116, -31, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 36764829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**6\/120 - 7*x**3\/6 + 2*x**2 + 1. Let k(l) be the second derivative of q(l). Differentiate k(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113520657 - 6?\nAnswer: -113520665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkokokokkkokookokooo. What is prob of picking 1 o and 1 k?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqmmqmmq. Give prob of picking 2 q.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 261 - 151. Calculate the least common multiple of a and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*p*r**2 + 6*p*r + 5*p - 261*r**2 - 1583 wrt r.\nAnswer: -28*p*r + 6*p - 522*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -31*c - 57. Let a be n(6). Is -242 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 115? (a) -1 (b) 14 (c) 23\/88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2003 - 1031?\nAnswer: -3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.08, 3, 2, -5 in decreasing order.\nAnswer: 3, 2, 0.5, 0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47092258?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(528)\/(2*sqrt(12)))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.55 + 0.5. Let v = -9.05 - s. Let l = v - -13. What is the third biggest value in -2, 1\/6, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2) - (-9)\/18)\/1. Suppose 4*u - 26 = y, 4*u + x*u = 20. Let j(g) = g**3 + 6*g**2 - g - 4. Determine j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o - 6, -4*d - o + 217 = 0. Suppose 0 = -13*h + d + 101. Let k be -2*6\/(-5)*30\/h. Put -3, 0, k, 3 in increasing order.\nAnswer: -3, 0, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 374, 845, 1504, 2351?\n\"Answer: 94*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.4 at most 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvudvu. Give prob of sequence td.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 15, 4 in increasing order.\nAnswer: -4, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 4263 + 4198 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 6. Suppose 3*p = -2*n + 33 + 2, -3*p + 22 = n. Solve 0 = d + x*r - n - 4, -2*d + r = -6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 742 + -11883\/16. Calculate the common denominator of n and 109\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-3*-1)\/((sqrt(12) - (sqrt(108)*1)\/sqrt(9)) + sqrt(12)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023993624307 rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r + 4*r + 30*r**2 + 39*r - 16*r - 13*r - 50 to o*r**2 + x*r + l and give l.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 665 and 665?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 362 + 168. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Suppose 4*z - 68 = -4*l, 0*l - 55 = -u*z - 2*l. Suppose -5*s = -2*s - z. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3 - 4*i + 3*i - 2*i + i. Determine j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (3\/4)\/((-1)\/4). Suppose y*v + k = 430, -2*v + 2*k + 289 = 5*k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:58 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6750561812.59433831 - 6778388608.461339. Let u = 27826796 + c. Let q = u + -0.133. Round q to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1116310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + r = -9, -5*r + 10 = -10. Find the third derivative of 8*j**4 - 33*j**2 - m*j**4 - 12*j**2 + 0*j**4 + 3*j**2 + 5*j**5 wrt j.\nAnswer: 300*j**2 - 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.961.\nAnswer: 9.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 9:25 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 9*u - 16. Let w be v(6). Suppose 0 = w*t + 2 - 14. Suppose -3*o + t = -75. Calculate the highest common factor of o and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5252111ml in litres?\nAnswer: 0.0005252111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 4. Let m be g(8). Suppose -2*y + 5*y = 0, -m*y = r - 11. What is the highest common factor of 77 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {i: 2, o: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*329\nAnswer: 131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {r: 6, f: 1, t: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1560 and 67\/60?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 5)*(-4 + 1 + 0) + (-2 - 1 + 6)*(-1 - 2 + 5))*(2*m - 4*m + 4*m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*f + 638*f - 7548 = 238*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3415\/3 or -1137?\nAnswer: -1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138142 is divided by 585?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24645 by -3.\nAnswer: 8215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.6. Let t = 11.7 - 12. Which is the closest to 1? (a) -1\/4 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 129 - 361 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 - q + 1. Let b be m(2). Let w = -18 - b. Put w, 0, -4 in decreasing order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 22*r**2 - 22*r + 39. Let f be v(-21). Let s = 189 - f. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/13))**(-23) assuming r is positive.\nAnswer: r**(92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 1976*o**2 + 46 + 1969*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:38 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 257 = -3*x + 6*x, 0 = -5*p - 5. What is the remainder when x is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-288))\/((-2320)\/61248)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -424.966 - -427. Let y = -0.034 + m. Sort 9\/5, 1\/6, y in decreasing order.\nAnswer: y, 9\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + -1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20, 4 = 4*p + 2*l + 2. Which is the nearest to p? (a) -0.1 (b) 0.5 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 2*l + 18, 4*b + 10*l + 13 = 13*l for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.4974 millilitres in litres?\nAnswer: 0.9754974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -692 divided by -165\nAnswer: 692\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.659193ml to litres.\nAnswer: 0.004659193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(320) + sqrt(320) - sqrt(320))**2*4 + -2*(sqrt(320) + -1) + (sqrt(125)*-4 - ((6*sqrt(125))**2 + sqrt(5)))).\nAnswer: -622 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 7. Let r = l - -12. Let v = 3.7 - r. Which is the second biggest value? (a) v (b) 4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.00455 - 139.67545. Round i to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - 2*m - 3. Calculate h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 447*w - 489*w + 352 + 68 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 9*f = 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -4 + 2 + 5. Let w = n + -4. Solve -3*c - 12 + w = 2*l, -3*c + 3 = -3*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/((-30)\/105*-14). Solve 4*c = -2*g + 6, -x*g - 4*c = -4 - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6803 + 61168\/9. Let f = -2 + 6. What is the common denominator of o and (f\/6)\/((-12)\/303)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-238)\/(-18) - 5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:43 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*o - 2, 82*t - 81*t - 3*o + 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 3*z + 16. Let q be f(-7). Let v(s) = s**2 - 4*s - 88. Calculate the remainder when v(q) is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051101 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/3*p**2 - 1\/3*p**3 - 25*p + 33.\nAnswer: -(p - 11)*(p - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47902504 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 14309.\nAnswer: 28618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/7 + 254902*r\/7 - 764688\/7 = 0. What is r?\nAnswer: 3, 127448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102507.\nAnswer: 3, 47, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 27*l**2 - 44*l + 317. What is the remainder when u(-28) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + -18 + 43 + 28.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*h**2*t**3 - 4878*h**2 - 68*t**3 + 346*t**2 + 5*t + 3 wrt h.\nAnswer: -94*h*t**3 - 9756*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 35 and 0.04.\nAnswer: 35.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*x**4 + 77*x**2 + 51*x**2 + 16*x**4 - 2*x**5 + x**5 + 72*x**4 wrt x?\nAnswer: -60*x**2 + 2664*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 3*b - 15. What are the prime factors of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - d - 1. Let t(z) be the first derivative of -15*z**4\/4 + 4*z**3 + 6*z**2 + 12*z - 423. Determine 12*k(i) + t(i).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*sqrt(2)*-4.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:51 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 277333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*h = 154*h - 25430 + 7990 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310466379 divided by 167729.\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 171 - 0?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y + 2. Let b be 2 - (-114)\/(-50) - 154\/(-385). Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) -4 (b) -6 (c) -3 (d) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/4 + 23*w**3\/3 - 19*w**2\/2 - 46*w - 10. What is the units digit of f(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 218*s + 24. Let n(v) = -218*v - 18. Let t(m) = 3*f(m) + 4*n(m). Let a(o) = 3*o. Determine t(a(r)).\nAnswer: -654*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 34. Let p = -58 - a. Is p greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -26. Calculate the greatest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + (((sqrt(72) - sqrt(72)*-2) + sqrt(72))*2)\/(-1*sqrt(100)))*5)**2.\nAnswer: 4320*sqrt(2) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2460)\/4200 - 6\/(-20). Suppose -56 = -2*p + 4*p. Let k be ((-9)\/p)\/(12\/14). Is k at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2, -10, -5\/9, -5, 1\/3 in descending order.\nAnswer: 2, 1\/3, 0, -5\/9, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 1201*m**5\/5 + 2*m**2 + 77*m + 1125. Find the second derivative of g(b) wrt b.\nAnswer: 14412*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a factor of 499158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z - 6. Let w be c(10). Let n be (-32)\/w - (-112)\/18. Let y(o) = -1. Let d(s) = -3*s + 4. Calculate n*y(i) + d(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -135. What is the hundreds digit of (-2577)\/(-6) - (y - (-18)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.086 - -0.286. Which is the closest to 2\/5? (a) 1 (b) -2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*h*s**3*y**3 + h*s**3*y**2 - 4*h*s**2*y**2 + h*s*y**3 - 9*s**3*y**3 - 101*s**3*y**2 wrt y?\nAnswer: 684*h*s**3 + 6*h*s - 54*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 1559 + 989. What is the remainder when x is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3))\/sqrt(7))**2 + (1*sqrt(2))**2*-6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -738899\/88 + 8396. Find the common denominator of 31\/44 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1371 - 1303.7. Let g = 0.7 + k. Let w = -68 + g. Which is the third smallest value? (a) -5 (b) 17 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 15) in base 4?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**2 - 2014*w + 10. Let t(k) = -46*k**2 + 4027*k - 24. Give 3*t(f) + 7*x(f).\nAnswer: 2*f**2 - 2017*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 128694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107818 and 71393.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6552633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - h - h - 46, -3*h = -3*q + 33. Calculate the remainder when 94\/6 + (-14)\/21 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7*c = 8392. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1. Let s(d) = 337*d - 3. Let f(i) = -2*g(i) + s(i). Let n be f(-7). What is n rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -23*y**2 - 130*y - 711. Give k(-11).\nAnswer: -2064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7422749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -7, -3.\nAnswer: -7, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 72*u**2 + 12349*u - 24689. Give f(2).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v - 96*v + 24 = -157*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-15) + 4\/5. Suppose 11 = -20*i + 22*i - 5*m, 3*i + 41 = -4*m. Sort 0, a, i, 3.\nAnswer: i, 0, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 4)*(6 - -1518). Let p = u - 847. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*6 + sqrt(156))*-4)\/(sqrt(108)*3).\nAnswer: -28*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*g = 216, -4*v + g - 208 = -9*v. Let q be (-90)\/v - (-2)\/14. Let j = 0.053 + -0.353. Sort q, j, -1\/3 in descending order.\nAnswer: j, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1792 and 0.01.\nAnswer: 1792.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*x)*(-2*x + 2*x + 2*x) + (-2*x + 6*x + 0*x)*(-3 + 3 - 12*x) + 52*x - 10*x**2 - 52*x.\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 6, p: 3, u: 1, y: 4, k: 2}. What is prob of sequence kkyu?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 3*f**3 + 0*f**3 + 3*f**3 + 0*f**3 - 4*f**3 + (2*f**3 - f**3 + 0*f**3)*(-2 + 3 + 1) - 355*f**3 + 125*f**3 - 3*f**2 - 53*f**3.\nAnswer: -284*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let s(v) = -528*v - 4. Determine s(y(d)).\nAnswer: 528*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 110362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -142333\nAnswer: -5\/142333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1224)\/(-44))\/17*(-77)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 216.24896.\nAnswer: 64.874688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:04 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13938931 to three dps.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 - 290. Which is the second smallest value? (a) -0.3 (b) 33 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -15. Is 5 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most 891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3 - 2)*5. Let w = n + 4. Let p be (-14)\/77 - ((-2735)\/385 - -7). Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + ((-29241)\/(-76))\/19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -5. Suppose 34 = 4*s - 2. Calculate the smallest common multiple of 31\/5 + (-2)\/x and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:52 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15081.\nAnswer: 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-2 - 6))*5. What is the highest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y - 2. Give h(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 115344 in 2, 1\/2, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + r = -4*r, -20 = -2*i - 2*r. Let n = -68 - -68. Suppose 10*b - 11*b + 4 = n. Solve -i*h = -b*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 148 = -6*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 482, 493, 508, 527?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 205622200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22292\/4267 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(21\/(-24)) + 2. Let o be (n\/(-2))\/(9\/6). Suppose -6 = 2*b, 6*b + 11 = -o*z + b. Solve 2*l - 16 = 5*q + 13, 2*q = -4*l - z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - l + 2. Let q be r(-3). Let t be 4 - (0 + (-5 - -2) + 6). Put t, -2, 2, q in decreasing order.\nAnswer: 2, t, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Suppose -355*f = -363*f - 1976. Let w = -245 - f. Determine c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvc when three letters picked without replacement from vvccvccccc?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 + 12*f**2 + 15*f - 2. Let b be v(7). Let i(a) = 7 + a**2 - 7*a - a**3 + b*a**2 + 2*a**2. Determine i(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81\/140 - -5\/28. Let q = 4 + -3.92. Let v be (4\/24)\/((-1)\/(-2)). Sort v, q, o in increasing order.\nAnswer: o, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.7 (b) 2\/5 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f. Let w = 0 + 7. Let m(i) = -5*i. Let o(r) = -793 - 794 + 1587 + 6*r. Let x(j) = w*m(j) + 6*o(j). Give x(t(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, -2\/291 in ascending order.\nAnswer: -1\/3, -2\/291, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39895749*1\nAnswer: 39895749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -826, -1264, -1702, -2140?\nAnswer: -2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15 + 6*d - 40 + 24. Determine w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(-1\/15)*((r\/(r\/r**(-3)))\/r)\/r*r\/r**(5\/2) assuming r is positive.\nAnswer: r**(-1361\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 19126 = 2*z, 3*i = -19 + 10. Does 39 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.4*-2626.4.\nAnswer: -19435.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.209287598 to 3 decimal places.\nAnswer: 0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*p + 7682 = 0, 97*n - 3880 = 95*n + 4*p. List the prime factors of n.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-3 + -21 + 1)) + (-21 - -1) - -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 + 0*j**2 - 4*j**2)*(47 + 110 + 66 + (-5 + 3 + 1)*(2 - 5 + 1)) to the form n + u*j**2 + z*j and give u.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -60 (c) -0.51 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -20578779\/5 and -4115756 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1*-6 - 3*sqrt(4032))\/(4*3*sqrt(441)).\nAnswer: -5*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1251 and 4878?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + ((-18)\/(-10))\/(26\/390). Let l(b) = b**3 - 28*b**2 - 9*b - 81. Let j be l(g). Which is bigger: j or -334?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 12*q**2 - 21*q - 8. Let t be h(-10). Suppose -2*k + 36 = t. What is the highest common factor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9401.163 millilitres to litres.\nAnswer: 9.401163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, u: 4, t: 1, a: 2, x: 6}. What is prob of picking 3 x and 1 t?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -3153?\nAnswer: -3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -27, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44338.\nAnswer: 2, 7, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30177159 to the power of 1\/2, to the nearest integer?\nAnswer: 5493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**2 - y**2 - 21*y**2 + (-7 + 3 - 13)*(0*y - y**2 + 0*y + (-2 + 2 - 2*y)*(-6*y + 0*y + 3*y)) to the form a*y + r*y**2 + o and give r.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2751 and -42?\nAnswer: 115542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 5*u**2 - 6*u + 3. Let i be g(6). Suppose -i*f = -4*f. Suppose -9*a + 4*a + 150 = f. What is a rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 + 108044088*a**2\/13 + 1459190618968968*a\/13.\nAnswer: 2*a*(a + 27011022)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:06 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -4*o**4\/3 + o**3\/6 - 18*o. Find the second derivative of z(c) wrt c.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z. Let t(o) = -6*o. Let u(y) = -2*n(y) + 7*t(y). Let c(h) = 63*h. Calculate c(u(p)).\nAnswer: -126*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*24\/(-18). Suppose -2*y = -5*d - 925, 0*y - 4*d - 924 = -s*y. Suppose 4*t - 5*q - y = -t, 2*t = q + 179. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, -5, -180751, -3 in decreasing order.\nAnswer: 303, -3, -5, -180751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705000 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*g**2 - 7 + 7 + (-2*g + 2*g + g)*(g - 3 + 3))*(2*g + 2*g + 2*g).\nAnswer: 798*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 7, 5 in increasing order.\nAnswer: 5, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 1. Let i(w) be the second derivative of w**5\/20 + w**4\/2 + w**3\/3 + w**2\/2 + 22*w. Give i(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 14*b + 56. Let z be i(-6). Sort -1, -5, z, 4 in increasing order.\nAnswer: z, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/20 - s**3\/2 - s**2. Factor n(b).\nAnswer: 3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2068\/13 - 159. Are 0 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232 - 232. Let v(x) be the second derivative of -1\/9*x**3 + 2*x + 1\/30*x**5 + p + 0*x**2 + 1\/18*x**4 - 1\/45*x**6. Let v(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 16 = 6*a - a, -4*a - 16 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l = -19*l - 180 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -25) + (1 - 0) + (34 - 33) + 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/2 - 418791*b + 837584 = 0.\nAnswer: -837584, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 6*q**2 - 6*q + 6. Let m be s(-7). Let d be (-4 + m)*-1 - 2. Solve 12 = -4*x - i, 3*i + d = x - 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178.5 + 178.6. What is the closest to t in -6\/7, -101, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(54)\/((sqrt(9) - (sqrt(9)*3 - sqrt(9)) - sqrt(9)) + sqrt(9))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-26 + 16) - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + 1)\/((-30)\/(-12)). Suppose -1938 = -5*i - l, i - 3*l - 394 = -0*l. Is i\/6*(5 - k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13357, 12670, 11983, 11296, 10609?\nAnswer: 9922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -165430299 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.08993725 less than 0.136056?\nAnswer: -24.95388125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 29 + 10. What is the remainder when 25 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - -0.61. Let t = 0.19 + h. Let y = -1 + 1.4. Which is the closest to t? (a) -4 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 6*o - 7*o + 22*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 18488554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/20 and -75\/112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -2\/13, 5, 1, 248?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(35)\/sqrt(5) + sqrt(7))**2 - (-1 + sqrt(175)) - (sqrt(63) + (2*sqrt(567) - sqrt(567))\/sqrt(9))\/(-5*-1*sqrt(9)).\nAnswer: -27*sqrt(7)\/5 + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -1904.\nAnswer: 19.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 2, o: 5, w: 1, t: 4}. Give prob of sequence tot.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -15\/8*o**2 + 1\/12*o**3 + 57 - 4*o. Suppose m(i) = 0. What is i?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.9868 - -43. Let r = 0.08968 + f. Let i = -0.104 + r. Round i to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 + v**3 - 98 - 2*v**4 + 5*v**2 - 3*v**2 + 190 as n + d*v**2 + g*v**3 + j*v + a*v**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1592543371 is divided by 5321?\nAnswer: 5318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40546*p**2 + 412469 - 412469 to c*p + w*p**2 + i and give w.\nAnswer: -40546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14334 (base 6) to base 12.\nAnswer: 13aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 4 - 4)*((3*z + 4*z - 3*z)*(-11 + 1 + 4) - 3*z + 2*z + 2*z) to i + t*z + v*z**2 and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i)\/(i*i*(i\/(i\/(i\/(i*i*i**(2\/15)*i)*i)))\/i))**(-22\/5) assuming i is positive.\nAnswer: i**(616\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 50, 99, 168, 257?\n\"Answer: 10*d**2 - d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 35 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 0.17714.\nAnswer: 0.37714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*51\/204?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259223 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341 a factor of 21418452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -239*s**3 - 6*s**2 + 301*s. Let d(c) = -476*c**3 - 14*c**2 + 602*c. Let u(q) = -3*d(q) + 7*p(q). Find the second derivative of u(x) wrt x.\nAnswer: -1470*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15*y = 3685. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*h**2 - 641*h**2 - 635*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -5, -3, 3, 2.\nAnswer: -5, -3, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -777 or -1053?\nAnswer: -1053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.9 - -266374297.\nAnswer: 266374305.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 76*y**2 + 161*y + 968. Determine a(-74).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2942*b + 2947*b - 31 = 0, -4*b = 16 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76171*p**4 - 108341*p wrt p?\nAnswer: 914052*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58556 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98270 and 187030?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4.03. Let j = -0.97 + a. Sort -0.2, -2\/9, j.\nAnswer: j, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g - 22*g + 47*g. Suppose -h - 2*h - 2*z + 125 = g, 4*z - 207 = -5*h. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57249 divided by 2?\nAnswer: 57249\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**3 - 34*i - 10. Let l(j) = -3*j**3 + 13*j + 4. Let v(t) = 3*a(t) + 8*l(t). Let s(w) = 96*w**3 + 33*w + 33. Give 4*s(z) - 66*v(z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/9 and 36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1835 and 2885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0 + 1\/6*c**2 + 2\/27*c**3 + 1\/108*c**4 + 14*c. Factor p(q).\nAnswer: (q + 1)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 * -4\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*b**5 + 5*b**4*f**2 + b**2*f**2 + 91*b**2 wrt b?\nAnswer: 1260*b**2 + 120*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v - 176. Let q be c(16). Find the third derivative of 32*h**3 + 29*h**2 + 24*h**3 + q - 149*h**3 - 1 - 112*h**3 wrt h.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 813.206094 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/1 - 3)*-10 + 1. Let g = z + 22. Calculate the remainder when 3 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 66?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11141054 (base 8) to base 15.\nAnswer: 328ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w - 1. Let p be h(1). Suppose -s = p + 2. Which is the closest to 0.1? (a) -3 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/4, 88, -2436, 2\/3, 5\/3, 1\/14?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -80*f**3 - 2*f**2 + 5*f - 6. Let b be v(-3). Suppose -798 = -3*j + 4*u, 791 = -5*j - 5*u + b. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 28. Let f be y(-14). Suppose -2*n + f*n + 12 = 0. Calculate the least common multiple of 120 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/11 + 942*x**4\/11 - 109078*x**3\/11 - 533358*x**2\/11 + 22968144*x\/11 + 47181960\/11 = 0. Calculate x.\nAnswer: -15, -2, 14, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 32 + 8 = 6*c + 3*y, -c = -5*y + 30 + 61 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388 - -163. Let j = 379 - n. Let v = -171.999931 - j. Round v to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3888035 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1102*-22\nAnswer: 24244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 + 14*j + 132\/5 = 0.\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*f + 114 = 3*h, -5*h - 5*f - 525 = 0. Let i = -49 - h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = c + 5*r + 2, -r + 14 = 4*c. Let x be 15\/(-57)*(-5)\/7. Let w = x + -9\/19. Sort w, c, 0 in decreasing order.\nAnswer: c, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77299.\nAnswer: 17, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -0*q + 5*q. Suppose q + 76 = 5*r. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24999 divided by 1972.\nAnswer: -24999\/1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -13. Suppose h = -4*b + 5*b - 18. Calculate the remainder when 69 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4 + 4 + 11 - 12 - 25*d. Let u(g) = 60*g**2. Determine x(u(f)).\nAnswer: -1500*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -222*(2 - 1\/1)\/(-2) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-7)*(1 - 3). Suppose -p = 5*i + 10, -5*p + 0*i + i + 2 = 0. Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z + 66. Let a(i) = 2*i - 2. Let q(h) = 3*a(h) - d(h). Let p be q(-8). Let u(k) = -2*k - 19. Determine u(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -470992*p + 470851*p + 564 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.321057mg in kilograms?\nAnswer: 0.000008321057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70822706192+-4385\nAnswer: 70822701807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38280 and 157354?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 19 = 2*f - 5*v, 5*f - 4*v = -31. Let b(m) = -3*m - 113. Let z(x) = 2*x + 111. Let y(j) = f*b(j) - 6*z(j). Differentiate y(n) wrt n.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39709, -39509, -39309, -39109, -38909?\n\"Answer: 200*u - 39909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 + j - 1. Give b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*k = 4*z, 4*z + k = -5. Let v be (-6 - -2)*(1 - 2). Let j = v - z. Sort -2, 1, j in ascending order.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let b = 327472 + -327474.0000016. Let u = b + q. What is u rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -4322?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*q - 116688 = 252*q. Is q a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174985913?\nAnswer: 3, 41, 9552731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10271941*b**2 + 73953068*b.\nAnswer: -20543882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23829*t + 2392 = -23921*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*n**4 - 4*n - n**3 + 9 + 121*n**4 - 18 in the form w*n**3 + h + o*n**2 + q*n**4 + u*n and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/30603 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102198714 by 6.\nAnswer: 17033119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 29*s**3 - 9. Let t(y) = -14*y**3 + 4. Determine 3*m(o) + 7*t(o).\nAnswer: -11*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*u + 4, -2*u = -5*g + u - 19. What is the second smallest value in 1\/4, g, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 131, 147, 147, 125, 75, -9, -133?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h - 2, 2*m = 4*h + 2. Suppose 0 = -0*o + m*o, -4*o = 5*w - 315. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 65125567 and 0.8.\nAnswer: 65125567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67.42 - -67.32. Let y = 5 + -9. Let w = y - -2. What is the closest to d in 2\/5, w, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 209*o + 106. Give g(-2).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58424361, 58424360, 58424359, 58424358?\n\"Answer: -c + 58424362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 + -99. Suppose n - 2*f = -3, -n + 5*f + 9 = 21. Put n, c, -1\/5 in decreasing order.\nAnswer: c, n, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-8)\/6) - -6. Suppose 0 = p + s*p - 8. Is 2 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -953.9 + 3.2.\nAnswer: -950.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0562 * 199.\nAnswer: 11.1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**6\/120 + o**5\/15 - o**4\/3 - 11*o**3\/6 + 3*o**2. Let i be x(-5). Factor -2*k**2 + 3 + 3*k**2 + 0 - i*k.\nAnswer: (k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -38*o**2 - 825*o - 3588. Determine q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.2, 1\/38, 17, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2 minus 41.2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.068, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, -0.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 621*v + 107*v - 8622 - 7394 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 5*b + 5. Suppose 0 = 2*l + 1 - 11. Let f(p) = 2*p**2 + 5*p - 6. Let c(u) = l*f(u) + 6*s(u). What is the second derivative of c(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {r: 1, f: 1, n: 2, m: 1, a: 1, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 274 + 3*s**4 - 2*s**2 - 274 + (-1 + 0 + 0)*(-3*s**4 + 2*s**4 + 3*s**4) + (4*s**2 + 0*s**2 - s**2)*(2*s**2 + 0*s**2 + 4*s**2).\nAnswer: 19*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**3 - 13*h**2 + 8*h + 3. Let z(d) = -4*d**3 + 19*d**2 - 12*d - 5. Let j(o) = 7*g(o) + 5*z(o). What is the units digit of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2*f - 2. Let m be z(-2). What is the tens digit of (1 + -3)\/m - -53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 820?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -1 (b) -0.3 (c) 2\/7 (d) -1\/4 (e) 0.69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 173418420*h - 3759243549412050.\nAnswer: -2*(h + 43354605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11031852703 + -39.16\nAnswer: 11031852663.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16011)\/36*2\/(-78). Let h = -148\/13 + n. Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 + 0))*(-15 - -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q**4\/2 - 960*q**3 + 170571*q**2\/2 - 2428579*q + 686940 = 0. Calculate q.\nAnswer: 2\/7, 60, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 2. Let d be t(-4). Suppose 3*c - 120 = d*c. What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 1047460086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*u + 536, c - u + 402 = 4*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 51.62. Let p = -19.62 - m. Let v = 15 + p. Sort -0.9, v, -0.2 in descending order.\nAnswer: -0.2, -0.9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5470 - -5469.2. Sort 1, 3\/5, -1\/7, -1\/2, k.\nAnswer: k, -1\/2, -1\/7, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 0, 2, 8, 4 in decreasing order.\nAnswer: 155, 8, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + (-4)\/30*-366. What is the hundreds digit of -3*z*(-182)\/42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*s - 44, -s = 16*k - 18*k + 34 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2977, -5708, -26055, -58064, -101735, -157068, -224063?\n\"Answer: -5831*y**2 + 8808*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320316?\nAnswer: 2, 3, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a2 (base 14) to base 4.\nAnswer: 20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1097*h - 72365 - 27683 = -255*h for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = 1. Solve 3*q - 15 = -4*a, -v*q + 5*a + 1 - 11 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(2\/3)\/y*y)\/y)**(-11) assuming y is positive.\nAnswer: y**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1532.8 + 1533. Which is the closest to -1? (a) -4 (b) 59 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 58. Let l(m) = -3*m**2. Determine j(l(x)).\nAnswer: -6*x**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(17) + 1)*6*2.\nAnswer: 12 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y + 10. Let u(p) = 2*p + 3. Suppose -2*t + 4 = -0. Calculate t*q(d) - 7*u(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 42, -130, -464, -1014, -1834, -2978?\nAnswer: -4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*r**4 - 31*r**4 - 87*r**4 + (2*r**2 - 3*r + 3*r)*(r**2 + 0*r**2 + 2*r**2))*(-4*r - 2*r + 4*r).\nAnswer: 180*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*38\/7315*-10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 13*f - 11. Give p(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 4. Let l(x) = -2*x + 5. Let o be (-20)\/6 - (-10)\/30. Give o*l(s) - 4*r(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109548 is divided by 350?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.3 (b) -7 (c) -4 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156 - 149. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3 - -2)*0. Suppose 3*w - 6 = -d + 4*w, q = w + 2. Suppose 0 = d*p - 10 - 22. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t - 431. Let h = -418 - -371. Let y be g(h). What is the smallest value in -2, 2\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319271*y**5 + 8*y**2 - 6887*y.\nAnswer: 19156260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1180692 and -139\/96.\nAnswer: 9445536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9526\/34585 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 21\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 26849.908 to the nearest 100.\nAnswer: 26800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4044905260 to the nearest integer?\nAnswer: 63600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17)\/3*(33 - 39).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 2, w: 3, v: 6, l: 6}. What is prob of sequence fc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z + 20 = 0. Let b be ((-78)\/(-14) - ((-30)\/21 + 1)) + -7. Sort 0, z, 3, b in decreasing order.\nAnswer: z, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*y - 3*y - 2*y + 4.\nAnswer: -5*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g + 238. Suppose 0 = h + 4*q + 38, -q = 48*h - 50*h - 40. Let m = h - g. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 0.3 (c) 1 (d) 4\/135723\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588901 - o + 1173635 - 584734.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277 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 h(v) be the first derivative of v**3\/3 - v**2 + 3*v + 1. Let a = 14 + -12. Let q be h(a). Solve q*l - 2*w = -21, 4*w = -l + 4*l + 27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2, -14, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 + (-45 - 2 - (31 - 17)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.034 - 1.034. What is the nearest to 1\/4 in -0.06, -2, q?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1302, -1351, -1400, -1449, -1498, -1547?\n\"Answer: -49*d - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17582 + -7564. What are the prime factors of g?\nAnswer: 2, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/4)\/j)\/j)**(3\/7)\/(j**(1\/4)*(j**2\/j)\/j))**(-1\/74) assuming j is positive.\nAnswer: j**(17\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = b - 156. Calculate the remainder when 75 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*s + a, -511*s = -516*s - 2*a - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**3 + 38*u**3 + 3*u - 2*u - 8 - u**4 - 25*u**3 to i*u**2 + z*u**3 + m + t*u + d*u**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 0 - 4 - -7. What is the greatest common factor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-1)*c*c*c)**(5\/13)*(c\/(c\/(c**(-1\/3)\/c)))**(9\/5)*((c*c\/(c*c**0\/c)*c*c)\/c**(-4))**(5\/6) assuming c is positive.\nAnswer: c**(1282\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1542 and 23\/2570.\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 47 - 31*m + 75*m + 2*m**2 + 1 + 2*m**2 = 0. Calculate m.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 0*s**3 + 0*s**3)*(-32*s**2 + 456*s - 459*s + 17*s**2).\nAnswer: 30*s**5 + 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19a690 (base 11) to base 6\nAnswer: -10325031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*p + 1023*p - 55 = 516*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 0. Let c = 5 + -7. List the prime factors of -4*(c + (2 - w)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11356390*z**2 + 13592992*z wrt z?\nAnswer: 22712780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 0\/(5 - 2). Suppose 0 = -2*p - v + 2, v = t*p - 4*p. Solve -p*o = 3*o + b + 24, 4*o - 5*b - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3426000 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -812 divided by 4\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -220400 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 6, i: 4}. What is prob of picking 1 k and 1 y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (11 + -16 + 9 - -13) + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 400*t**2 - 2419*t + 115. Determine s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + v = -4*w + 9, 4 = 2*v. Let p = -11 + 22. Suppose -5*s - z + 3*z + p = 0, 4*z + w = 5*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppcc when four letters picked without replacement from wpprcrrprwc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 122 = 5*z. Let i = -7 + 10. What is the units digit of 0 - (i - 3) - z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*80\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212880 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 2092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-6.3737.\nAnswer: -19.1211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -518*u - 22. What is the units digit of d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 14. Put 3, f, -2 in descending order.\nAnswer: 3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443343 (base 6) to base 2.\nAnswer: -1001000011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19725 is divided by 3813.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 3*q**5 - 2*q**5 + (-3*q + 6*q - 2*q)*(5*q**4 - q**4 - 3*q**4).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 283 - 142 - 136 - 54*h**2 as x*h**2 + o*h + a + u*h**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/11 - 2*r**4\/11 + 18*r**3\/11 + 26*r**2\/11 - 16*r\/11 - 24\/11 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vii. Give prob of sequence vii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 11*n - 15. Let g be v(8). Let u(b) = b**3 - 9*b**2 + 3*b - 4. Let a be u(g). Let d(q) = 23 + 3*q - a. Let y(o) = 6*o**2. Give d(y(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from {s: 1, w: 2, y: 4, j: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 6*q - 10*q - q + 2*q - 6*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 3. Let z(g) = 4*g + 3. Determine 3*l(v) + 2*z(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44857 is divided by 666.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - 225) + 82 + 95?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65902.\nAnswer: 2, 83, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 261 and 89.\nAnswer: 23229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103431983 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29785 and 226366?\nAnswer: 1131830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-480)*10*132\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**2\/2 + s - 1272. Let m = 1 - -1. Calculate x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71533486 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 the common denominator of -56\/33 and -103\/4221864?\nAnswer: 46440504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*766 + (4 - 2). Let g = -1536 + b. What is g rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f + 43. Let u be g(-2). Is u at least as big as 19\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 15*b + 84 = 0. Solve p - g = 7, p - 3*g - b = 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84885, -339563, -764017, -1358241, -2122229?\n\"Answer: a**3 - 84894*a**2 - 3*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 2*r - 2*r. Let p(u) = 11 - 11*u - 1 + 3 - 5. Let a(j) = 4*j - 3. Let h(f) = 8*a(f) + 3*p(f). Calculate y(h(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 - 10 - 4445*f**2 + 3*f**4 - 2*f - f**3 + 4446*f**2 - 5*f**4 in the form v*f**2 + b*f**3 + o*f + g*f**4 + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26356 divided by -2396?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 481578 - 408911 = 270892. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.806 + 298.194. Which is greater: 3\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k + 30 = 5*p, -3*p + 4*k + 22 = 0. Find the common denominator of (25\/35)\/(p\/8) and 36\/10 - (2 + -2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 16078240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.361 times 1610?\nAnswer: -581.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-62))\/(2\/21*-3)*-32?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-7*v + 8 - 8) - 1 - v + 1 + (-v + 4*v - v)*(1 - 1 - 2).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -5*g**3 + 1. Let n(f) = 2*f + 4. Let p(q) = q + 1. Let a(c) = -n(c) + 4*p(c). Calculate a(z(l)).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34477 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6 + 6. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16708191, 16708196, 16708201, 16708206, 16708211, 16708216?\nAnswer: 16708221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 2, 1850 in increasing order.\nAnswer: -3, -2, 2, 1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + (sqrt(2) + 2 + sqrt(2))**2) + (sqrt(98) + -2 + sqrt(98))**2 + (2*sqrt(2) + -2 - sqrt(12)\/sqrt(24)).\nAnswer: -73*sqrt(2)\/2 + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5\/3 - 9364*r**4\/3 + 1717480*r**3\/3 + 8939317400*r**2\/3 - 5328333315500*r\/3 + 26417974797500\/3 = 0. Calculate r.\nAnswer: -979, 5, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 1\/9, 56, 1\/8, 25?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 6*a**2 - 3*a - 6. What is r(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2. Let d(s) be the second derivative of -s**4\/6 - 2*s**2 - 17*s. Let i(m) be the first derivative of d(m). Determine h(i(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 71, 2, -2\/3.\nAnswer: -2\/3, 1\/10, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/8 - 79523*n\/4 - 874511.\nAnswer: -(n + 44)*(n + 159002)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62893552?\nAnswer: 2, 199, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(22\/99*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*m + 5*m - 36*m + 4*m in the form j*m + q and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1495 and 5785.\nAnswer: 133055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -366849*v**2 - 76549 wrt v.\nAnswer: -733698*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7840000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/429*(110\/210)\/(4\/(-6))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -85*v + 21*v + 203 + 438 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {m: 1, b: 11, w: 6}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -3 (b) -1\/2 (c) 40 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -424 divided by -8\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 8*t - 13. Is 36 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/3 + 80*c**2\/3 + 82*c\/3 = 0. Calculate c.\nAnswer: -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*u - b, -5*u - 4*b = -3*u - 18. Solve 4*o + 28 - 10 = 3*t, u*o - t = -17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = 0, 2*x + 3*g + 7 = 30. Let s(y) = y**2 - 3*y + 4. Let m be s(3). Let h be m*((-66)\/(-4) + 1). Calculate the highest common factor of x and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.4. Let f = 1.1 + v. Let j = -5 + 3. What is the closest to 2\/3 in f, 4, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -36*k - 2. Let c(i) = 7*i + 1. Give -2*c(m) - n(m).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 369240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {y: 4, l: 1, x: 2, n: 2, f: 7, z: 1}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(48*r + 42*r - 95*r) to the form m + u*r and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) 8 (c) 2\/9 (d) 3\/10 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3479 + 3709. Calculate the highest common divisor of 40 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + -6 - -14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -0.3, -234, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 6) + -11 + 2 + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/7)\/t)\/(((t**(-2\/9)\/t*t)\/t)\/t))\/(t**(3\/4)\/t*t*t*t\/t**(-2\/5)) assuming t is positive.\nAnswer: t**(-1889\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 + 0.11. Which is the smallest value? (a) k (b) -9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1900) - (1*sqrt(1900) + sqrt(1900))) + sqrt(1900))*-4 + sqrt(1900)*-2 + 3 + 2)**2*1.\nAnswer: -120*sqrt(19) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2618955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11180, 11186, 11206, 11246, 11312, 11410?\n\"Answer: n**3 + n**2 - 4*n + 11182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-2)\/(-12) + -10*132\/(-720). Solve -4 = c + 5*s + 1, c + h*s + 3 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**5\/5 - 21*u**4\/4 - 4*u**3 + 42*u**2 + 223. What is k in x(k) = 0?\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.37.\nAnswer: -0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*c - 4, -3*u - 1 = 3*c - 13 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + (-2 - (-1 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 304259312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 473135 rounded to the nearest one thousand?\nAnswer: 473000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-14)*(1 + -1 + -3). Suppose 23*u = -3*u + 52. Factor -k*p**3 - 1\/2*p**u + 0 + 1\/2*p**5 + p + 1\/2*p**4.\nAnswer: p*(p - 1)**2*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1584 divided by -396.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*d**3*r**2 + 19648397*d**3*r - 49*d*r**2 - 619*r**2 wrt r.\nAnswer: 38*d**3 - 98*d - 1238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2969*t + 46233 - 145540 - 179779 = 0 for t.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179.852 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -2077858?\nAnswer: 2077860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**3\/2 + 5*k - 1. Let y(v) be the first derivative of t(v). Is y(-9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152362 is divided by 685.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksj when three letters picked without replacement from kuujkkskkkkjk?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16639*a**2 - 18551*a**2 + 8048*a**2 + 2698*a**2.\nAnswer: -24444*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869234 is divided by 7622.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*m - 150 - 94 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1443.7 + -1446.7545. Let u = y + 0.0545. Which is the second smallest value? (a) u (b) -1 (c) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -22*y + 4230 + 8*y - 4234. Let n(j) = -14*j - 5. Give 5*h(i) - 4*n(i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let x(j) = 139720*j**2. Give a(x(n)).\nAnswer: 279440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*r + 752 + 139, -2*b = 4*r - 714. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 4549691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135 - 98) + 38\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 316271302.\nAnswer: -3\/316271302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 148\/8*-4. Let t = -54 + i. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 6\/2 + 0. Suppose 0 = 3*a - 4*k - 13, -k + 6 + 2 = f*a. Suppose 4*d = d + 9. Solve -a*r = d - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let y = 64 + -38. Let k be ((-16)\/24)\/(y\/6 + -1). Which is the second biggest value? (a) z (b) 0.3 (c) -1\/9 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Let b be (-10)\/(-4) + 0 + 10\/(-20). What is the biggest value in z, -5, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -429 or 198\/19?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 725.7 - 726. Sort k, -12, 3 in decreasing order.\nAnswer: 3, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4017, -8038, -12071, -16122, -20197, -24302, -28443?\nAnswer: -32626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w - 72000. Round w to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9604*s**6 - 51*s**3 + 1008*s**2 - 70 wrt s?\nAnswer: 1152480*s**3 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(880)\/sqrt(11) + (sqrt(120)\/sqrt(6))**2 + sqrt(20) - ((sqrt(80) + 0)*-1 + 1).\nAnswer: 19 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/24 and 74\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47391, 47364, 47283, 47142, 46935, 46656, 46299?\n\"Answer: -p**3 - 21*p**2 + 43*p + 47370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9165\/47658)\/(5\/(-28))\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1767, 3633, 5671, 7965, 10599?\nAnswer: 13657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.4, -730, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 23891*v**2\/2 - 4039795*v\/2 - 171384225\/2.\nAnswer: -(v + 85)**2*(v + 23721)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031661 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/2 - (-4)\/(-8). Suppose b*q - 3 = q. Suppose 15 = q*j - 0*j. Calculate the remainder when 9 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73 + -0.03569.\nAnswer: -0.76569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*y - 20 = 59*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.481*0.574.\nAnswer: -0.850094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-22)\/(-4) + -2 - 4). Let b(k) = 19*k - k**3 + 4*k**q + 0 - 15*k + 3. What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.926 rounded to 0 decimal places?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 196 = 5*r, 2*r + 3*i - i - 88 = 0. Suppose -3*v + 32 = 2*y, 3*v = -3*y + 2*v + r. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 y when three letters picked without replacement from daxixyoa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/6)\/(1\/3). Let y = -0.1 + 0.2. Let j = -0.8 + 0.4. What is the closest to y in j, 3, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10800\/(-640))\/(192\/(-512)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3)*20\/140?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52204 and 2728?\nAnswer: 1148488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473 and 1699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7788064589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20\/3 - 51. Let v = n - -59. Find q, given that 1\/3*q + 0 - 4\/3*q**4 + 1\/3*q**5 + 2*q**3 - v*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120020 (base 3) to base 11.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4092a - -1?\nAnswer: -40929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -48*n + 17\/3*n**3 + 8*n**2 - 8 + 1\/4*n**4. What is the hundreds digit of d(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6500 - p**2 - 6299 + 12799.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozhic. Give prob of sequence och.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-51)*3\/(108\/4)*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/178160 and 45\/113839.\nAnswer: 154821040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -7*g - 2*s - 6, 5*g - 2*s + 15 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + h**3 - 2*h**3 - h**3 + h**4 + (0*h**2 + h**2 + 0*h**2)*(3 - 3 - 4*h**2).\nAnswer: -3*h**4 - 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w = 44*w - z - 22166, -z + 22158 = 2*w. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 32*n - 10. Calculate the remainder when j(28) is divided by (-128)\/(-5) + (-2)\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8489586ml in litres?\nAnswer: 0.0008489586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(6\/(-488)*(-76)\/456). Calculate the highest common divisor of 61 and a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:16 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-30)\/((-15)\/(-3))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312360 rounded to the nearest 1000?\nAnswer: -1312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + 59. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 6. Let p be r(-18). What is the remainder when 133 is divided by (p\/(-9))\/(8\/(-324)*3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 v, and 1 y when four letters picked without replacement from {v: 3, j: 2, d: 1, q: 1, u: 1, y: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.38 - -0.02. Let p = 0.3 - m. Which is greater: p or -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 85 (b) -4 (c) 3 (d) 0.2 (e) -0.3 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Let f = k + 3. Calculate the highest common factor of 30 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -18. What is the tens digit of 13*2 - (-1)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-25) + (-264)\/(-5) - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 3*y**2 + y + 22. Let d = -9 + 15. Calculate r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 7:21 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -33*p**3 + 2178*p**2 - 95*p + 6278. Give t(66).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(0 + 1 + 0) - 2 - 1 + 0 - 5 + 3 + 0 + 2 + 0 - 3)*(2*p**2 + 8 + 0*p**2 + 2367*p - 2362*p)*(3*p - 2*p + p).\nAnswer: -16*p**3 - 40*p**2 - 64*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 512627867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (2 - (3 + -2)). Suppose p - l = 1. Calculate the highest common divisor of p and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2479986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16956613, 33913243, 50869873, 67826503, 84783133, 101739763?\nAnswer: 118696393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*u = -5, -6*u = 2*q - 2*u - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-6) + 3 + (-253290)\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84769, 169396, 253887, 338242, 422461, 506544?\nAnswer: 590491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/407088 and 31\/129528.\nAnswer: 2849616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, -1, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-3*i**3 - i**3 + 3*i**3 + (3*i**3 - 3*i**3 + 2*i**3)*(-9 - 67 + 27) + (-5*i + 10*i - 7*i)*(1 - 2*i**2 - 1) - 3*i**3 + 4*i**3 + 0*i**3).\nAnswer: 94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.509436 to three decimal places.\nAnswer: -3.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igjujjsigegj. Give prob of sequence gi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/84 - 163\/7. Let w = 28 + n. Suppose w*y - 35 = 3*y - c, -c - 55 = -3*y. Calculate the lowest common multiple of y and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 5*x - 1. Let d(y) = 231*y**2 - 234*y**2 + y + 3*y. Let l(i) = -4*d(i) - 3*m(i). What is the units digit of l(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2.1. Let t = 4.55216 - -0.44784. Which is the third smallest value? (a) -1\/8 (b) t (c) 2\/83 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18742 = 288*a - 290*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 88*b - 85*b - 51*b + 2 to the form j*b + c + z*b**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, 271, 507, 411, -263, -1761?\n\"Answer: -41*b**3 + 203*b**2 - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361997325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279334?\nAnswer: 2, 11, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5267*u + 5265*u + 4*i = -82, u + 2*i = -0*u - 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37533.7 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 805115 and 1.1.\nAnswer: 885626.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03941 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*j**3 - 21*j**3 + 17*j - 7*j**2 + 6*j**2 - 18*j**3 in the form h*j**3 + t*j**2 + g + q*j and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 152576 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38197, 76475, 114897, 153535, 192461?\n\"Answer: 12*u**3 + 38194*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 10*o + 5. Determine m(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccje when four letters picked without replacement from {e: 4, c: 9, j: 1}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose -3*z = -l*z - 24. Calculate the remainder when (14\/5)\/(2\/10) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*v + 187 = 147*v - 193 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*g = -11, -4*g + 23 = 3*k - 2*k. Suppose 3*j = 3 + k. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1782462 and 54?\nAnswer: 16042158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 35890?\nAnswer: 251230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1988, 1987, 1986, 1985, 1984, 1983?\n\"Answer: -j + 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.6217 centuries to years.\nAnswer: 8862.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1906*i**2 - i + 1. Is q(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2484)\/69)\/((-1)\/(-1)). Let u be (16\/n)\/(1 + (-15)\/9). Which is the nearest to u? (a) 0 (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402 and 1407?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-6 - -10 - -5) - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14098 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 - 10. What is the highest common factor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 + 4*s**2 - s + 1. Give j(-3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 32 = -a, 20 - 98 = 4*q + 5*a. Let r = 17 + q. Solve -y = 3*f + 12, 5*y + r + 3 = 4*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 202844 + 5?\nAnswer: 202849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -77*s**5\/20 - s**4\/6 + 65*s**2\/2 - 7*s. Find the first derivative of t(l) wrt l.\nAnswer: -231*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/55*((-15)\/(-10))\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/4 - 3*s**2 - 3*s + 2467. What is z(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2875289577?\nAnswer: 3, 17, 569, 99083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3170 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 2 - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, and 1 e when three letters picked without replacement from {l: 3, e: 3, n: 2, f: 1, r: 10}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i - 126. Let g be l(5). Let s = 101 + g. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. Let h = i - 2. Suppose -23 + 5 = -4*j - 2*y, 3*y + 29 = h*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 + 8*t + 11. What is j(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Let i = 50 - 47. What is the greatest common factor of i and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 7, 3, 2 in ascending order.\nAnswer: -123, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 0.0136, 1\/4, 18?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*c**5\/5 - 301*c**4\/5 - 240*c**3 + 64852*c**2\/5 - 5712*c = 0. What is c?\nAnswer: -14, 0, 4\/9, 17, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 (base 8) in base 4?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 + 12*y**2 - 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 12*v + 5. Determine c(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -b + 3. Let g be 6274\/b*((-52)\/8 - -5). Let i = g + -2082. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from frffrwfr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17053\/72 - 2216\/9. Let l = 151933\/17 - 8918. Let j = 3980\/153 - l. What is the common denominator of c and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 2 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 + -2.05. Let j = g + -1.25. Let o = 35 + -35.06. What is the closest to j in o, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3599760703 to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 96689878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -2\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 3, m: 3, x: 4, o: 1, i: 4}. What is prob of sequence gi?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 8*y**2 + 0 + 4 - y**2 as h + x*y**2 + j*y and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 1. Let a = -5 - -7. Let w be f(a). Let g = 0.17 - 0.37. What is the closest to 1 in w, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -5*o - 39 - 31 - 6 + o**2 - o**3 - 2. Let q(n) = -4*n**2 + 3*n - 6. Let j = 3 + -8. Determine j*q(b) + 6*h(b).\nAnswer: 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -37.\nAnswer: -41\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -45*c**2 - 39*c - 38. Let t(a) = 135*a**2 + 111*a + 106. Determine -6*t(n) - 17*y(n).\nAnswer: -45*n**2 - 3*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -6 - 7) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 91*n + 31 = 21, -4*r = -n - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1383658, 2767297, 4150932, 5534563, 6918190, 8301813?\nAnswer: 9685432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228992 and 4060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 29. Suppose 46 = -3*b + s, -2*s - 54 = k*b + s. What is the units digit of (2 - 0)\/(b\/(-328))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-9)*k)\/(k\/(k**(7\/8)*k))*k*k**(7\/2)*k*k**(-4\/3)*k assuming k is positive.\nAnswer: k**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8114 + 11648. List the prime factors of l.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s + 44. Suppose -x - 38 = -5*f - 4*x, f - 3*x - s = 0. Find the third derivative of -2*v**5 + 10*v - f*v - v**2 - 2*v**5 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -17. Let u(l) = -l**2 - 2*l + 1. Let r be u(f). Let v be (r\/(70\/(-4)))\/2. Which is the smallest value? (a) v (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let v = 3.4 - 3. Let r = -0.3 + v. What is the third biggest value in 0, r, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-3))\/(-3) - -1. Let m(h) = -60*h + 1. Let k be m(f). Suppose -5*p = 11 - k. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 + 2.89999993. Round k to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-234)*(0 + -1). Which is greater: 10\/7 or d?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvccchjkc. What is prob of sequence vj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 5*c + 6. Let u be d(6). Let l be u*1\/2 - 5. Let a(b) = b**2 + 6*b + 3. What is a(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 3699*b - 77522. Calculate a(21).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 6*b**2 - 50)*(40 + 47 + 54*b - 92).\nAnswer: 324*b**3 - 30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 15 + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-3) - (-24)\/(-72))*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*((4 + sqrt(153) - sqrt(153)) + sqrt(17) + -3 - (sqrt(612) - (4*sqrt(612) + sqrt(612) + -3 + sqrt(612)))) + 4)**2.\nAnswer: 248*sqrt(17) + 261393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -1 + 11 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*p + 3, 0*b - 21 = -5*b + 2*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14995.\nAnswer: 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -33 + (-4)\/4 - -2. Let t = b - -164. Suppose -g - t = -4*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13655*v**6 - 54962*v**2?\nAnswer: -1638600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 177, 153, 129?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1) + (-15 - (-20 - -6)). List the prime factors of 1\/(x + (-13245)\/(-6620)).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g - 8*g + 141*g - 33*g + 6*g.\nAnswer: 70*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6902889 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.3 + -3.2. Let w = 0.1 - 0. Let o = w + a. Sort 3, o, 0.5.\nAnswer: o, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**8\/10080 - w**6\/180 - w**5\/15 + 2*w**2. Let u(h) be the third derivative of n(h). Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1. Let r(h) be the second derivative of -h**3\/2 - 6*h**2 - 7*h. Let v(k) = -30*m(k) - 2*r(k). What are the prime factors of v(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 33072.\nAnswer: 892944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-962303937\nAnswer: -962303937.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, t: 1, k: 5, w: 1, m: 7}. What is prob of sequence ksk?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 46*f**2 + 62*f + 286. Give s(-24).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6947 - 6436. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 8*p - 14. Let r be y(10). Let x(f) = f**3 - 6*f**2 + 2*f - 12. Let h be x(r). Solve h = -3*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t - 406 = 44*t + 41*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 + 21*d**3 + 18*d**2 = 0. Calculate d.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237.5926 rounded to zero decimal places?\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -23*w**2 - 37*w + 873. Let i(h) = 8*h**2 + 13*h - 292. What is 17*i(v) + 6*s(v)?\nAnswer: -2*v**2 - v + 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 7 + -3 + 8. Suppose l = 6*x - 1. Suppose -i + u = -152, -u - u = x*i - 324. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/140)\/((-24)\/60)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 10*g - 20. Let t(x) = 11*x + 8. Suppose 3*y - 6 = 6*y. Let w be t(y). Let h be d(w). Calculate the greatest common divisor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-11 + -101)\/8 + 35 and 819.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a**2 + 5*a**2 - 51*a**4 - 178*a**4 + 486 - 94*a**4 wrt a.\nAnswer: -1292*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {v: 1, f: 8, r: 1, q: 2, h: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**3 - 106*r**2 + 81*r - 45. Let o be p(-14). Let v(q) be the first derivative of -3*q**2\/2 + 2*q + 2. Give v(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111202122 (base 3) in base 16?\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 759.66 - 701.133. Round z to one dp.\nAnswer: 58.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/4 + 55*h**2\/2 - 488*h + 2016 = 0 for h.\nAnswer: -126, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*m + 12 = 0, 3*h - 6 = m + 2*m. Let j(b) = -b**2. Let o = 0 + 0. Let w be j(o). Solve 0*l + h*l + 12 = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:29 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 73475493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssbs when four letters picked without replacement from sbbssssbss.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239206 divided by -1.\nAnswer: -239206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 1 - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 608 and 76?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -20. Let p be (s\/(-6))\/((-8)\/168). Suppose 5*d = -3*m + 2*m - p, 4*m - 1 = -d. Put d, 2, -2 in descending order.\nAnswer: 2, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -86. Let s = 43 + g. Solve 0 = -3*y - s*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.3579 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -54, 3, 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:00 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from alannnlaaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -95, -4, 1, 7, -15, 6 in ascending order.\nAnswer: -95, -15, -5, -4, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, c: 2, z: 5, n: 2}. Give prob of picking 1 c and 2 z.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hht when three letters picked without replacement from thhhttttththhtthhh?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x - 10. Let p(r) = 13*r + 19. Give -6*p(c) - 11*s(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*2 + sqrt(152) - sqrt(152))*6 - sqrt(152) - sqrt(152)*-2*4)\/(-1*sqrt(128)*6).\nAnswer: -25*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -13*u**5\/12 - u**4\/24 - 2*u**2 + 196. Let s(j) = -13*j. Give g(s(i)).\nAnswer: -10985*i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 115 - 480. What is the remainder when w is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/279269 + 279285\/1117076. Find w, given that -31\/2*w - g*w**2 - 961\/4 = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 19 + -3 + 15 + -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 119374.\nAnswer: -5\/59687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 69\/17 (c) -5 (d) -1445 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 552*r**2 - 84 + 393*r**2.\nAnswer: -159*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -58, -67, -58, -25, 38, 137, 278?\n\"Answer: a**3 - 28*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*(u**(1\/2)*u)\/u)\/(u**0\/((u*u\/u**(-5\/3))\/u)) assuming u is positive.\nAnswer: u**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-354)\/1*(-26)\/4?\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1227*t**3 - 6*t**2 - 58*t + 124. Is 56 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094 divided by -4?\nAnswer: -2047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6047 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y. Let h be d(-1). Let m(g) be the first derivative of g**4\/4 - g**2 + 2*g - 19. Let n be m(0). Solve h = -n*l - 0*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.047984 years to centuries.\nAnswer: 0.00047984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*j = -1 - 5, -20 = -4*j. Find the third derivative of 56*r**5 + 21*r**2 - 24*r**b - 6*r**2 wrt r.\nAnswer: 3360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 3. Let j be g(0). Which is the third biggest value? (a) j (b) -5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445 (base 6) in base 5?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30*16747\nAnswer: 502410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 7*y - 6. Let r(s) = 1. Let h(l) = -r(l) - u(l). Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/24 - v**3\/6 + 2*v**2. Let y be t(-1). Suppose 7*p - 2*p - 25 = y. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 7*y**2 - 9*y - 1. Let q = -11 + -20. Let t = 38 + q. Suppose 5*r - 12 = t*r. What is j(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 904567746*k**4 + 869370263 wrt k?\nAnswer: 3618270984*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7760730365 to the nearest integer?\nAnswer: 88095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/414 and 155\/5106.\nAnswer: 15318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 12:09 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148704 and 295296?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 5*p**3 + 357 + 5890*p + 36 - 5890*p + 301.\nAnswer: 5*p**3 + 2*p**2 + 694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, 4 in ascending order.\nAnswer: -5, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 40 = -3*a. Suppose -a*p + 6 = -10. Solve -p*x - 3 = 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-53.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 2, x: 2, e: 1, g: 1}. What is prob of picking 1 x, 1 g, 1 o, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.906 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 99.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 7*w**2 + 6*w + 5. Let o = -175 - -169. Let t be u(o). Solve 6*i = t*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -28. Put 1, i, -12 in decreasing order.\nAnswer: i, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3782653, -7565342, -11348067, -15130828, -18913625?\n\"Answer: -18*m**2 - 3782635*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 6:57 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*o = -5, -11 = -2*l + 5*o + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*u**3 + 2)*(0 + u + 0 - 1) + (0 + 0 + 1)*(-46 + u**4 + 46).\nAnswer: 3*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -180735 divided by -36147\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pepe when four letters picked without replacement from {p: 4, b: 5, e: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**3\/3 + 9342. Let w(z) = -1 + 34*z + 1. Calculate w(x(d)).\nAnswer: 34*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320640870, -320640866, -320640862, -320640858?\nAnswer: -320640854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 h, and 1 f when three letters picked without replacement from {h: 1, u: 1, t: 2, f: 2, k: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m + 114. Let o be r(8). Let j be 52\/o + (12\/15)\/(-4). Solve p = j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, x: 2, i: 1, c: 5, s: 1, b: 1}. What is prob of sequence xis?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2270 - -3579. Calculate the highest common divisor of v and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 0) + (3536\/(-204))\/(4\/(-3594))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 168*v - 117648.\nAnswer: 3*(v - 172)*(v + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 8*f - 3. Let b be y(7). Suppose 0 = 2*g + 2*g + 16. Suppose -4*x - 35 = -6*x + 5*n, 3*x - 4*n = 35. Put b, g, x in decreasing order.\nAnswer: x, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25732*m**3 - 4*m**2 - m - 3502?\nAnswer: -154392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 5*w + 140. Let i(z) = -5*z + 3*z + 12*z**3 + 3 + w*z**3 - z**2 - 5*z**3. Is i(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84896?\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 28) + 26 - (17 - (12 + -14)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbsx when four letters picked without replacement from {a: 4, x: 2, m: 2, b: 4, s: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -230*k**2. Let d(n) = -20*n. Determine d(z(c)).\nAnswer: 4600*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2 + 12*j = 0 for j.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187320201 rounded to four dps?\nAnswer: 0.1873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 545510 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13227\/(-21176) - (-2)\/10) + -1. Let i = 1\/2647 - g. What is the common denominator of -59\/8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10375.338 to the nearest 100.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*q - 149*q**2 + 51*q**2 + 80*q + 116*q wrt q?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 12. Let y(q) = 2 + 0*q - w*q - 5*q. Let n(x) = -x - 41 - 40 - 43 + 124. Calculate 6*n(t) - y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37272 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-18))\/10)\/(((-2)\/2)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 84. Calculate g(-18).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Let y = 3 + g. Suppose 4*o + 5*v - 88 = 0, -110 = -3*o - 2*o + y*v. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*m + 79 - 9, 2*a + 5*m - 28 = 0. Suppose 3570 = 7*j + a*j. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2280275, -2280209, -2280143, -2280077, -2280011, -2279945?\nAnswer: -2279879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221778.8 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -23. Let i = d + -9.95. Which is the second biggest value? (a) 0.4 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 13*r - 19*r**2 - 11*r + r**2.\nAnswer: -24*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 190 = -114. Calculate the remainder when 53 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 357077744 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50765, 50773, 50787, 50807, 50833, 50865, 50903?\nAnswer: 50947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2 - 2 + 6*y + 6 + 8*y**2 + y**3. Let v be b(-6). Suppose -1 = -3*o + v. What is the remainder when 75 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 8 - o - 11)*(-2*o**2 - 2*o**2 + o**2).\nAnswer: 3*o**3 + 171*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k + 2*h, 2 = 5*k + 2*h + 3. Let n(p) = -209*p**3 + 2*p**2 + 3*p. List the prime factors of n(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 5\/4, 34, -3, 3 in descending order.\nAnswer: 34, 3, 5\/4, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 9) in base 13?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07160642 + -5.9.\nAnswer: -5.82839358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26091 = -2603*s + 25366 - 9809 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18620 - 17240. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -60. Suppose -848 = -w*r - 111. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -470 - -169. Let h = 484 + c. Is h at least 183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26\/21 - -11\/7. Let h be (-32)\/(-54)*9\/12. Let d = h - 14\/45. What is the nearest to 1 in 0.2, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -646163635\/18 + 35913703. Let p = -15730 + i. Find the common denominator of p and 65\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -10. Suppose y*q - 21 = -5. Suppose -5*r + 45 = -q*k + 2*k, 36 = 4*r + 5*k. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*o**3 + 11*o - 2*o**3 - 21*o + 9*o - 4*o**2 in the form d*o**3 + x*o + m*o**2 + g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 93*k + 236. Let d(y) = 94*y + 245. Let a(l) = 3*d(l) - 2*o(l). What is the derivative of a(q) wrt q?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602991 divided by -104.\nAnswer: -602991\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3978 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 10, 10, 28, 70?\n\"Answer: l**3 - 19*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, s: 13}. Give prob of sequence zss.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48961, -391316, -1320273, -3129040, -6110825, -10558836, -16766281?\nAnswer: -25026368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/50 in -0.1, 3.5, 0.034?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from qexeqqe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-117)\/18)*3\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 72 = -2*p, p + 4*r - 1 + 42 = 0. Let w = p - -67. Let u = w + -30. What is the nearest to u in -0.5, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 21*g**3 + 4 - 82865*g**4 + 3*g**2 - 5 + 82866*g**4 to y*g + m*g**2 + k + h*g**4 + v*g**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459)*1 - sqrt(459))*5 - (3*1*sqrt(459) + sqrt(459) - sqrt(459)))\/(sqrt(33)\/((sqrt(132)*4)\/sqrt(12))*-3).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2440\/(-5490) - (-5)\/(-150)*-14?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Let s be (-2)\/8*-2*2. Solve 0 = -4*d + h - 5, -d - h - s = -l*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 - 9*k = 0. What is k?\nAnswer: -9\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 29. Let w be x(-13). Let f(p) be the third derivative of -1\/6*p**3 + 1\/12*p**4 + 0*p + 1\/60*p**5 - p**2 + 0. Give f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 - 2*i**2 - 11*i - 16. Calculate the remainder when g(-3) is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*l + 152177277 = 59*l + 1078016. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-4)))**(-34\/5)\/(y**(-14))**24 assuming y is positive.\nAnswer: y**(1816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.016455 milliseconds in weeks?\nAnswer: 0.0000002926859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1981, -3983, -5999, -8035, -10097?\n\"Answer: -k**3 - k**2 - 1992*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2345632)\/1288)\/(4\/(-14)*-3)*-3. Which is the third biggest value? (a) z (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -65?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543 - -1035\/2. Find the common denominator of -19\/14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s*x + 16872*s - 6*x**2 + 331*x + 2 wrt x?\nAnswer: 3*s - 12*x + 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 0) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -151\/19327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37230 and 99280.\nAnswer: 297840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0 - 1\/3*j**3 + 0*j**2 + 1\/30*j**5 - 3*j + 1\/24*j**4. Let l(g) be the second derivative of p(g). Differentiate l(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixx when four letters picked without replacement from iixixixixiiixiiiix.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33132 + 2?\nAnswer: 33134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/2 + 344189*y**3 - 118465379341*y**2\/2 - 118466411910*y - 59233378050.\nAnswer: -(y - 344190)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 54 - 94 - 2*y + 33. Give q(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.026 + 0.226. What is the closest to f in 5, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i**3 - 1355*i**2 - 675*i = 0. Calculate i.\nAnswer: -135, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 865 = -70*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 66*r**2 - 468*r - 26865. Determine s(-67).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 4 (c) 0.1 (d) 3702 (e) -4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. What is the closest to -1\/3 in 2, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**(-1)*x*x))*x*x)**(-8\/17)*(x\/(x**(2\/5)*x))**(-45))\/((x\/x**(-3))\/(x**(-4\/5)*x))**22 assuming x is positive.\nAnswer: x**(-5696\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(6\/(-4) - -1). Solve 4*f - h = -m, -4*f + 3*m + 15 = -5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 207 = c, c = 3*s - 3*c + 179. Let y = s - -69. Suppose y*a + 2 = 17*a. Solve -a*t - 7 = -3*t - 2*n, -n = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = q. Suppose -d - 10 = 5*z, -q*z - 8 = -4*d + 27. Let p(y) = 17*y + 12. Is p(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 54?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/10 and -51\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 681762511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391\/14 + -487\/14. Is d at least -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 11791909?\nAnswer: 589595.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -952 or -937?\nAnswer: -952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-4 - -2) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -75?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 1829?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, r: 5, x: 1}. Give prob of sequence vvrv.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2875 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 813224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5705600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbg when three letters picked without replacement from {b: 5, a: 2, g: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/8)*q*q*q\/q**(-16)*q**(-1\/12)*(q\/q**(-4\/9))\/q assuming q is positive.\nAnswer: q**(1403\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15615251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 596131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -301*h**2*s**3 + 213*h**2*s - h - s**5 + 2*s**2 wrt s?\nAnswer: -1806*h**2 - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2 of a kilometer in meters?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6199138g in nanograms?\nAnswer: 619913800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16865, 41010, 65155?\nAnswer: 89300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = -16*w + 30628. Suppose w = 2*y + o, -3*o = 4*y - 4*o - 1964. List the prime factors of y.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-9)*3*-1. Suppose 0 = -u*h - 1549 - 835. Let o = -415 - h. What are the prime factors of o?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-8))\/(1\/(-6))*-220. Let l be 11\/(i\/40)*(0 + 12). What is the highest common factor of l and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 93 + 195 = 0. Find the second derivative of -13*p**3 - 25*p - w*p + 50*p + 35*p**3 wrt p.\nAnswer: 132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 take away 12525856?\nAnswer: -12525063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6}. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -512043782.17013 plus 0.2?\nAnswer: -512043781.97013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -167*b**3 - b**2 - b - 2. Let h be q(-1). Let x = h - 150. What is the lowest common multiple of x and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)*30\/(-6). Let t = x + 34. Suppose 5*k + 0*k = -u + t, u = 4. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/51)\/((-2)\/(-15)). Let j(n) = 4 + 2*n**2 - 8*n + 4*n + 3*n. Is j(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*m**2 + 623*c**3*m**2 + 4*c**3*m - 12134*c**2 - m**2 wrt c.\nAnswer: -48*c*m**2 + 3738*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3815*q**2 - 184*q - 184. Let n be l(-1). Is n > 3815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5849 + 5853.878. Let r = f + -4.7. Let p = r - 1.108. What is p rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 96, 116, 166, 258, 404, 616, 906, 1286?\n\"Answer: 2*g**3 + 3*g**2 - 3*g + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10123933?\nAnswer: 23, 440171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*x - 4 = 4, 0 = 4*x - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -3.01. Let a = v + -2.5. Suppose 0 = -317*o + 316*o - 5. What is the biggest value in o, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -1\/6*n**4 - 4*n**2 + 6*n + 0 + 4\/3*n**3. Solve h(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1235 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*d**3 + 757*d**3 - 292*d**3.\nAnswer: 208*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-93*6\/(-12) + 3. Let r = c - 86. What is the remainder when 36 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 4. Let u(k) = 10*k + 3. Let w(j) = 11*j + 4. Let n(i) = -7*u(i) + 6*w(i). Let h = 6 - 2. What is h*n(y) + 3*c(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 + -74 + 97?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**3 - 3*j**2 - 8*j + 3. Let q(t) = -t**3 + t. Let u(h) = -5*q(h) - z(h). Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = n - 44, -n - 3*b - 274 = -6*n. What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 1756, 3811, 7822, 14443, 24328, 38131, 56506?\nAnswer: 80107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001010011100 - 11001000?\nAnswer: 100100000111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, -3, -10, -117 in increasing order.\nAnswer: -117, -10, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4*v**2 + 9*v - 7. Let x(m) = m - 22. Let g be x(24). Let k be s(g). Solve k*n + n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 4. Let x be w(5). Let z be (-10)\/(-25) + (-52)\/(-20). Sort x, z, 2 in ascending order.\nAnswer: x, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58816 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 18514\nAnswer: 4\/9257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -435, -909, -1573?\nAnswer: -2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 2\/45, -5, -330\/13, 40\/7, -2\/9?\nAnswer: -330\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*(-4 + 82593\/84) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 54*s**2 - 31*s + 9. List 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: Solve -17 + 72 = -6*w - 17, -8 = -4*b + w + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -5292772395274.\nAnswer: -5292772395267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 39, 5, -2932 in descending order.\nAnswer: 39, 5, -11, -2932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 0.0367 (c) 0.1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -47, -30, 2 in descending order.\nAnswer: 2, -30, -47, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*128\/(-96).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3217.422 + -3223. Round n to one dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 841807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99739, -203738, -307737, -411736, -515735, -619734?\nAnswer: -723733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 138*a - 274*a - 2 + 135*a. Let b be d(-4). What is r in 0 - 64\/3*r**b - 16\/3*r - 28\/3*r**3 = 0?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + l + 2. Suppose 0 = 15*p - 21*p - 18. Let u(x) = 5*x**2 - 2*x - 3. Calculate p*u(a) - 4*w(a).\nAnswer: a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w - 75. Let j be v(-19). What is the greatest common factor of j and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70268.72 nanometers to meters.\nAnswer: 0.00007026872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, o: 1, v: 3, a: 2, c: 9, r: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15017 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*sqrt(78)\/sqrt(6) - (sqrt(13) - ((sqrt(13) + 2)*-5 + sqrt(13)))).\nAnswer: -9*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 8*p + 48. Let m be z(12). Solve 2*k - 5*q - 40 = -k, m = -q - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:51 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -544\/13191 or 0?\nAnswer: -544\/13191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/17, 0.2, -31, -128, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 564*h**2 + 2320*h.\nAnswer: -4*h*(h - 145)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 71*c**2. Let j(y) = 112*y. Calculate g(j(i)).\nAnswer: 890624*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16863460?\nAnswer: 2, 5, 843173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.4 + -30.6. Let v = -1265.3 + 1304. Let u = v + d. Which is the smallest value? (a) u (b) -2 (c) -17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*i = 40, 5*o + 2*i - 26 = 102. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39935?\nAnswer: 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2800) - 2*sqrt(2800))**2.\nAnswer: -14000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 11) in base 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*o - 89*o + 10, 4*o = -3*p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -12. Suppose 4*y = 3*x + 11 + 11, -12 = -y + 4*x. Put y, -2, d in descending order.\nAnswer: y, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(2\/4). Let s(x) = -x - 1. Let o be s(4). Let f be -1 + 6 + 2 + o. Put v, f, 0 in descending order.\nAnswer: f, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137137713.\nAnswer: 947, 1200779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Solve z = m + 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -697\/6247 or 1?\nAnswer: -697\/6247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 2588, -13, -213, 2\/7, 0.3, 2\/3?\nAnswer: 2588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/14, 4\/7, 0.1 in descending order.\nAnswer: 4\/7, 3\/14, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 - 0.57. Which is the closest to -2\/3? (a) 1\/4 (b) -9 (c) -1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -420*l**2 - 803*l + 76. Determine a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2404 + 2.240402887. Round g to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 929, 613, -2235, -8881, -20591?\n\"Answer: -211*z**3 + 1161*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = 2*v - 88, 0 = -2*v + 4*j + 118. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let g be l(3). Suppose 41 = g*z - 124. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/5 - 62988*i\/5 + 12598 = 0. What is i?\nAnswer: -31495, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = -1. Let f = v - -5. Suppose 1 = -2*s + 5*w, 5*s + w - 67 = -2. Calculate the highest common divisor of f and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 101*n**2 - 2*n + 4. Is p(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1215.\nAnswer: -4\/1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1, 6024?\nAnswer: 6024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 801 by -3.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7 + 1. What is the second derivative of 5*f - 4*f**s + f**4 - 6*f + f**4 wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y - 3*y + 5*y)*(2*y - 2 + 2) + 423*y**2 - 127*y**2 - 147*y + 143*y in the form p*y**2 + q*y + w and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13727, -13804, -13881, -13958, -14035?\n\"Answer: -77*c - 13650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 31, 66, 115, 178, 255, 346?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-4) + (-3)\/(-6). Which is the second biggest value? (a) -0.2 (b) k (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 + 919306*y + 10112245 = 0. Calculate y.\nAnswer: -919295, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-8)*q**(-28))**(2\/21) assuming q is positive.\nAnswer: q**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*u + 1594, 5*a + 3*u + 0*u = 1609. Suppose 7*w - a = -w. Let j = 57 - w. Solve 4*l + j = 5*n, n + 0 = 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x + 137. What is the remainder when 144 is divided by d(12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6166 - 41347 = 27*c. Let i = c - -1307. Suppose -96 = -5*y + 64. Calculate the smallest common multiple of y and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = -44*f + 5460. Suppose -f = -6*a + 4*a. What is the smallest common multiple of a and 91?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - u - 1. Let b(k) = 114*k**2 + 95*k + 95. Let f(x) = b(x) + 95*j(x). Let r(h) = 3*h**2. Give r(f(m)).\nAnswer: 1083*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 29403, 9, 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312 + -21023?\nAnswer: -22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1083004, -1082957, -1082910, -1082863, -1082816?\nAnswer: -1082769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 71. Let g(o) = i*o**2 + 1 - 4*o**2 - 4 + 4. Suppose 2 = -l + 1. Let z(b) = b**3 - b**2 - 1. Calculate l*z(c) - g(c).\nAnswer: -c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -11220210?\nAnswer: 11220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22096407661.999999435 + -22096407748. Let w = -86 - t. What is w rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 4:36 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.928377 weeks?\nAnswer: 659.967336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 117?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70))\/sqrt(5))\/(((sqrt(28)*1 - sqrt(28) - sqrt(28)) + sqrt(28))\/sqrt(4) + sqrt(7)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10dcb9 (base 15) to base 7\nAnswer: -6565134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 + 2*t**3 - 5*t**3)*(-t**2 + t**2 - t**2 + 3*t + 2*t**2 - 3*t + (-t + t - t)*(0*t - t + 0*t)).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**7*o))\/o)**38\/(((o**14\/o)\/o)\/(o*o**5*o*o*o)) assuming o is positive.\nAnswer: o**(-307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 7*x - 9. Let c be (-3)\/((-1)\/(-2) + -1). Let n be b(c). What is the second smallest value in -5, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*f + 4*f - 9037 = 0, -3*r = 4*f - 5428. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834 - 133 = -798*n - 97 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:40 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229 + 233. Suppose -5*n = -9*n + 4*s + 156, j*s = -n + 54. What is the remainder when n is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - 63 - 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 3 + 2*s + 2 - 7.\nAnswer: -7*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*z + 2*n + 2, 5*n = -5*z + 5. Let d = 0.04 - 2.04. Let i = 2198 + -2193. Which is the closest to z? (a) d (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 9*i + 1. Determine k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -86*q**2 + 2. Let g(a) = 77*a + 12. Let p(t) = -397*t - 62. Let s(k) = -31*g(k) - 6*p(k). Give c(s(d)).\nAnswer: -2150*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 1:27 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o = 5*b - 90*o + 20, 3*b + 38 = -4*o for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {s: 9, v: 6, l: 2}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17.1 and 0.05.\nAnswer: 17.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 23 + 27)*(-24 + 2*t**2 - 9 + 7).\nAnswer: 78*t**2 - 1014","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-2)\/(-1))\/(-2))\/(10\/(-590)). Let p = -103 + r. Let w = -39 - p. What is the remainder when 11 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/540 - 2\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 22*o**2 + 22*o + 29. Let k be (-46)\/4*((-12)\/(-2))\/3. Is m(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/sqrt(28))\/(sqrt(55)\/(sqrt(11)*-2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3236918284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 491949848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -w + 21. Factor 0 + 1\/3*o**w + 1\/3*o - 2\/3*o**2.\nAnswer: o*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*z - z - 24, 5 = -3*z + 5*b. Let d = -6375 + 31878\/5. What is the biggest value in d, z, -0.39?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 196*g - 620*g + g + 0 in the form z*g + f and give z.\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 + 4*p - 3. Let v be w(2). Let b be (4 - v)\/(2\/4). Let l be -1*(-3 - -1 - b). Do l and -1\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 - (-10 + 16 - 16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 2\/((25\/(-30))\/(-5))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. What is the remainder when 2\/t - 80\/(-6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 2*m + 8 = 0, -s - 5*m = 5 + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (-345)\/(23 - 38).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by ((1 + -4)\/3)\/((-1)\/34).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**3 - 3*g**2 - 3. Let v be 1\/((-2)\/(-3) + -1). Let u(p) = -p**3 + 1. Let k(x) = v*u(x) - i(x). What is the third derivative of k(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 2 - 0 - -9 - (1 + 4).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -601 or -3012\/5?\nAnswer: -3012\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1080)\/(-810))\/(89*(1 + (-20)\/12))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 11*b - 51*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 26*i - 22. Let g be q(-22). Find the first derivative of -8 + 11*n - 1 - g*n wrt n.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3533, -7038, -10523, -13988, -17433?\nAnswer: -20858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 smaller than -33396\/479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222618ml in litres?\nAnswer: 0.000222618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - b**2 + b - 1. Let w(p) = 4*p**3 - 2*p**2 - 10*p + 7. Let r(o) = -w(o) - 5*x(o). Give r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(24) + sqrt(19) + -1 + 5.\nAnswer: 4 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 11*o + 25. Let w be f(-7). Let r be -1 - -1 - (-16 + -6). Calculate the greatest common factor of w and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 3*l**2 + 2*l - 3. Let f be m(2). Suppose -2*a = -3*x - 5*a + 111, -5*a - f = 0. Calculate the remainder when x is divided by (1\/2)\/(2\/52).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6742)\/10)\/((-9)\/12*(-140)\/(-525))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(-6 - 16*s - 4 + 8) to n*s + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luuv. What is prob of picking 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*l**2 + 5*l**3 - 65*l + 18*l**2 + 12*l**2.\nAnswer: 5*l*(l - 1)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(2\/3)*u*(u*u\/((u\/(u\/u**7))\/u))\/u*u*(u\/(u\/(((u*u**(4\/5))\/u)\/u*u*u)))\/(u\/(u**(2\/37)*u)) assuming u is positive.\nAnswer: u**(-451\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 530*s**2 + 4*s + 497*s**2 - 19*s - 26 + 11*s wrt s?\nAnswer: 2054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + g**2 + g**2)*(-2 + 4 + 0)*(7*g + 23*g - 7*g) as i*g**3 + z*g**2 + b + f*g and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -317 * -34906.2\nAnswer: 11065265.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.6 - -45.6. Let i = q - 38.9. Let d = i + 1.8. Which is smaller: -0.2 or d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 14*v + 3*v)*(8*v - 3*v**3 - 8*v) to the form x + s*v**2 + k*v**3 + u*v + q*v**4 and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 3:40 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16986096 divided by -943672\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 13 + 2)*(2 - 4 + 1)*(0 - 2*p**2 + 0).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 1 - 0\/2. Let j be 63*(2 + x - 2). Let o be (5\/(-5))\/((-1)\/9). Calculate the highest common divisor of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.073 + 0.073. Let o = 36 + d. Let r be -1*3\/12*-4. Which is the closest to r? (a) -1\/9 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*h*k*o**2 - 156*h*k + 5*h*o**3 + 22863*k*o**3 - 3*k wrt h?\nAnswer: -7*k*o**2 - 156*k + 5*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 239 = 11 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8675805818?\nAnswer: 2, 43, 1973, 51131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*b - b**2 + 9*b**2 + 242 - 242 to y*b**2 + f*b + k and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 + 3*k + 1. Let y be b(-3). Suppose -2*i = -5 - y, -11 = -4*r - 5*i. Let u(x) = -5*x**3 + x**2 - x - 1. Determine u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-4)\/(-26)*(-71)\/14910*30\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -2*c - 11*s + 1978, 3*c - 5*s - 2960 = 0. Is c a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -530, -778, -1016, -1244?\nAnswer: -1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -231740838 divided by 378\nAnswer: -613071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1060 and -91.\nAnswer: -96460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 5*x - 1. Let k = -33 + 38. Suppose 0 = -2*b + k*b + 4*u - 38, -3*u = -15. Calculate the remainder when o(b) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 18 = 5*y + 51, -4*z = -3*y - 23 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 104*i**2 - 359*i + 1508. What is the tens digit of u(-104)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -91, -215, -399, -649, -971?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167*i*s + 178*i - 230*s + 419 with respect to s.\nAnswer: -167*i - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2350.944952 and -1?\nAnswer: 2350.944952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/f)\/(f*f\/(f*f\/f**(1\/13)*f)) assuming f is positive.\nAnswer: f**(-79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 141 - 133. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*u = -6*u - 333, 2*h - u = 221. Let j be (-145)\/h - 6\/(-4). Let p = 7\/22 + j. Which is the second biggest value? (a) 0.2 (b) p (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 3*f**4\/4 - 29*f + 2. Let y(b) = 135*b**2. Determine x(y(h)).\nAnswer: 164025*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.3, -10, -63, -0.25, -163?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - 5. Let i(k) = 4*k**2 - 6. Let y = -538 + 546. Let u be (-3)\/(-6)*(-60)\/(y - 14). What is u*i(d) - 6*n(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -515 (base 9) to base 11.\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 1870463808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q. Suppose 4*l = -q*l + 20. Sort l, -5, 1\/2.\nAnswer: -5, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(35\/6)\/((o**(-8)*o)\/(o*o**10)) assuming o is positive.\nAnswer: o**(181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 73.54 (c) -2\/7 (d) 1\/4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflflflffffflflfft. What is prob of sequence tllt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/6 + 2)*-9. Which is the third biggest value? (a) 0.3 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*x**5 - x**4 + 7776*x**3 + 3059*x + 2010 wrt x.\nAnswer: 3100*x**3 - 12*x**2 + 46656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 2. Let k be r(2). Find the second derivative of -o + k*o**5 - 8*o**5 + 0*o wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2818154222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddr when three letters picked without replacement from {d: 7, r: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s. What are the prime factors of -1 - (-1 + s)*12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5400 + 49840 = -310*n - 498*n for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 54740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774020121.\nAnswer: 3, 7, 29, 31, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -426.693 + 427. Let o = m + 0.693. Which is the second biggest value? (a) -1 (b) 22 (c) o (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(((-517)\/17886)\/(-47)). Let d = -73 - 411. Let j = d + v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgq. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.20438 and 6621.\nAnswer: -1353.19998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2019 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*k + 42 = -2*k, 1 = 2*s + 3*k. Suppose 2*r = -2*r + s. What is the third derivative of 2*a**r - a**2 + 0*a**2 - a**5 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1. Let j(i) be the first derivative of -3*i**2\/2 + 38905. Let f be (0 + 4)\/(-1*1). Give f*r(o) - j(o).\nAnswer: 3*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51242 + 102482 - 51240 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 223500964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15723616 rounded to 5 dps?\nAnswer: -0.15724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244 (base 8) to base 10.\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*m = 75*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*f)*(-10 - 4 + 1)*(-3 + 2 - 1) + 2 + 2*f - 2*f - 4*f.\nAnswer: 74*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -9) + 2 - (2 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 4*v - 3. Let b be x(7). Let p be (-3)\/b - 2*843\/36. Let n = p - -52. Put 3, -4, n in decreasing order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 12:14 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, b: 4, n: 3}. What is prob of picking 2 n?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -8. Let m be 4\/(p\/(-3)) - 0. Suppose -m*d - 16 = -4*d. What is the remainder when 29 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/60 + g**3\/6 - 3*g**2. Let l = 3383 - 3334. What is the remainder when l is divided by s(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 524*m**2 + 112*m - 29357. Give h(262).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144011 (base 6) to base 12.\nAnswer: -8007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100000111101011101111010 (base 2) to base 12\nAnswer: 2a88276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 11)*(0*a + 5 + 15 + 5*a)*(23*a**3 + 16*a**3 - 24*a**3) as x*a**2 + b*a + o*a**4 + g*a**3 + q and give g.\nAnswer: -3000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 278385*p**2 - 6456931104*p + 58134931308.\nAnswer: -3*(p - 9)*(p + 46402)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1555786 and 738.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = i + 2*i, 5*i = 4*o - 3. Let n(d) = 5*d**2 + 3*d - 3. Let s(k) = -4*k + 6*k**2 - 5*k + 13*k - 2 - 2. Calculate o*s(p) + 4*n(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762656127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 342 + -76?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92263\/18 - -5124. Find the common denominator of s and 59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5 - c + 3 - 4. Suppose 41*f - 330 = 11*f. What is z(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 326 and 0.04.\nAnswer: 13.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21111001220202 + -10?\nAnswer: -21111001220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(5 - 3*j - 5) + 6*j - 3*j + j to the form q*j + y and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 381552890*j - 321714707.\nAnswer: 381552890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-260)\/6)\/(1 - 5) and -45\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*z + 98*z - 78 - 282. Suppose m - 2*m = -50. Calculate the highest common divisor of m and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*z + 146*z - 36*z - 21*z - 23*z.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/513500 and 32\/454171.\nAnswer: 2952111500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8977206 times -0.5\nAnswer: -4488603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 851784.853 to the nearest 10000.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 24. Sort o, 1, -30 in increasing order.\nAnswer: -30, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1345 or 1?\nAnswer: 4\/1345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let z be (-6 + 4)*-2 - w. Suppose 2*a - v = 45, -3*a - z*v + 68 = 6. What is the highest common divisor of 154 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -5 (c) 2\/7 (d) -0.5 (e) 4\/5 (f) 0 (g) 2\/7395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 + 37*s - 5. List the prime factors of t(16).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2075 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 651456.\nAnswer: 651456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -16. Let o(x) = 2*x + 3*x - 1 + 4*x - 8*x. What is the smallest common multiple of 11 and o(r)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7*(-4)\/(-30)*5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13550 - 13022. Calculate the lowest common multiple of 78 and a.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202032233 (base 4) in base 7?\nAnswer: 1122524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -93848, -187685, -281522?\n\"Answer: -93837*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 5, t: 13}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -201?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 1078.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*l**4 + 7 + 0*l - 16*l**3 - 68*l**4 - l - 2 - 4*l wrt l?\nAnswer: 60*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 504.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k + 27*k - 23*k + 3571*k**6 + 158*k**2 - 1 - 8*k wrt k?\nAnswer: 428520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j + 2*j)*((-3 + 3 - 2)*(18*j - 8*j - 7*j) - 301*j - 81*j + 14*j).\nAnswer: -374*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t)\/t**(-7) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(108)\/sqrt(3))\/((sqrt(96)*2*-2)\/sqrt(8)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 205*i + 28618. What is o(-146)?\nAnswer: -1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67\/20 - -13\/4. Let y = 0.0087 + -731.0087. Let f = 757 + y. What is the second smallest value in -3, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50395026?\nAnswer: 2, 3, 11, 31, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26, -3.\nAnswer: -5, -3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) -2 (d) -5 (e) -78\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:11 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 2 + 39*k**2 + 12*k - 11*k + k**2 - 2*k + 2*k**3 to the form h + t*k**3 + n*k**2 + b*k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddndddpdnppdpddpdddd. Give prob of picking 3 p.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + x + 57*x**2 - 1 - 26*x**3 + x + 10*x**3 + 15*x**3 as y*x**3 + k*x + l + p*x**2 and give p.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w. Let g = 22 + -29. Give o(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.70298 to 1 decimal place.\nAnswer: -159.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24993 by 6.\nAnswer: -8331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 3*d - 1. Suppose 2*i + 60 = 3*y - i, -2*y + 5*i = -52. Let t be (-15)\/(-10)*y\/(-6). Let f(z) = z**2 + 4*z - 1. Determine t*r(u) + 3*f(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305 + 6157. Let x be w\/14 + (0 - (-6)\/14). Suppose -d = -8*d + x. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(588))\/(sqrt(6) + sqrt(48)\/(sqrt(40)\/sqrt(5)) + 2*sqrt(6)*4))**2*-6.\nAnswer: -21168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1494 - -a026?\nAnswer: 8752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdddfrfffd. Give prob of picking 1 r and 3 d.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 2 + 41*p + 15*p to the form k*p + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*p**6 - 3219695*p**3 - 12298599*p**2.\nAnswer: 1200*p**3 - 19318170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 15) + 4 + -1 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 435\/353?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:16 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.68 + -4.265287220439.\nAnswer: -4.945287220439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1719, -1747, -1783, -1821, -1855, -1879, -1887?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(832) + sqrt(832) + 0)*3 + -1)*-1 - ((-1 + sqrt(832) + sqrt(832))*5 + sqrt(832)*2*2)*-5) + -4)**2.\nAnswer: -28672*sqrt(13) + 3408656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 8, 2*j - 234*i + 229*i = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 27 = -66. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x - x - x - x + 4*x + (0 - 1 - 1)*(4*x - x - 5*x) + 4*x - 5*x - x + 2*x + 0*x + 0*x + 78 - 9*x - 78)*(0*x**4 + 2*x**4 - 4*x**4).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5) + 980\/(-5100)*-6?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/28 + 2096\/4192\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l - 13 = d, -4*l + 4*d + 20 = 0. Let j be (l + (-1)\/1)*-1. Let a be -14*(1 - (3 + j)). Solve 5*i + a = -3*b, 9 + 5 = -4*i - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 5 + -3 + 52 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502215135?\nAnswer: 5, 300443027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 11*s - 9*s**3 + 0*s**3 + 10*s to the form i + k*s**3 + u*s + j*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4421452 (base 7) to base 13.\nAnswer: -16032a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1047 and 102727103?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (119\/(-51))\/((-2 + 1)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -14, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = -3*v - 2, 0 = 5*v + 5*g + 50. Let t be (-146)\/v + 8\/12. Suppose -2*h + 2 - 14 = -2*k, 5*k + 5*h = 10. Solve -q + t = k*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265 divided by 18668\nAnswer: -265\/18668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*a + 1461 = -3423. Let v(b) = b - 5. Let w be v(10). Suppose -4*u = -w*u + 15. What is the lowest common multiple of a and u?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5875213, -5875208, -5875199, -5875186, -5875169, -5875148, -5875123?\nAnswer: -5875094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o + 2 - 2)*(-3 + 3 + 2*o) - 4*o**2 + 2*o**2 + 3*o**2)*(6 - 9 + 4)*(0*o + o + 0*o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllm when four letters picked without replacement from {l: 13, m: 3}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5056321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 469220, 3755523, 12675490, 30045953, 58683744, 101405695, 161028638?\n\"Answer: 469472*s**3 - s - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 31 = -5*m, n + 788*m = 783*m - 11 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 468*v**3 + 2*v**2 + 2*v - 510. Find the second derivative of c(s) wrt s.\nAnswer: 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 3. Let y(u) = 17*u - 13. Let i(m) = 26*f(m) - 6*y(m). Let p(o) = o. Let g(a) = -6*a**2 - 18*a. Let l(r) = g(r) + 18*p(r). Calculate i(l(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2409718, -4819433, -7229148?\nAnswer: -9638863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9191 and 369467.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82 - 11640a?\nAnswer: -116491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1 - (8 + -2) - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:16 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 32.\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(17))**2*-5*4.\nAnswer: -360 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 30 = 4*d, 0 = 4*o - 7 + 19. Let p(h) = d*h**2 + 5*h**2 - 10*h**2. Let j(q) = 2*q**2 - 19*q**2 + 0*q**2 - 20*q**2. What is p(j(z))?\nAnswer: 1369*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + 5.6. Let u = -0.1 + k. Let h = -7 + u. Which is bigger: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 45. Let c = i - 14. Let p = -202\/5 - c. What is the nearest to 2\/7 in 0, p, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039 + 1062 = 6*a - v, 5*a - v = 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3\/3 - 7*i**2\/2 - 4*i + 4. Let h be q(-6). Suppose -h*k - 186 = -2*o, -o - 5*k + 425 = 4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.281 + 0.528. What is a rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 2*v. Determine u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58074*o + 60632?\nAnswer: -58074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 - 67*s + 1986. Let a be h(35). Sort -5, -1, a in ascending order.\nAnswer: a, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - y + 5154 = 5153, -4*y = -2*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.4 (c) -2 (d) 1\/12 (e) 243 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 3300.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87\/5? (a) -4 (b) 0.7 (c) 2\/17 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + p = -8, 511*p - 513*p = 16*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -157, -776.15.\nAnswer: -776.15, -157, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/(-8))\/((-270)\/2160)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003807 to 6 decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(396) + 0)*-3 + 4 + 3*(sqrt(396) + 1) + sqrt(396)*1 + -1 + 1)**2.\nAnswer: -396*sqrt(11) + 47925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + -28 - (-3 + -2*1). Let u be 7\/126*-6*a*6. Solve -2*l - l - 2*g = 4, u*g = l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvnrvrrrn. What is prob of picking 3 r?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112701\/26 + -4334. Let d = p + -2\/13. What is the closest to 2\/9 in d, 1, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50b (base 12) in base 13?\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-465 - 2) + 7)*(-2)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(187)*6)\/(1*(sqrt(11) + 1*sqrt(11)) - sqrt(11) - -1*sqrt(1100)).\nAnswer: 54*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 965 and 91675.\nAnswer: 91675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 5:47 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 0) + (6 - (5 - 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100248166 to the nearest integer?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0505773 and -0.3.\nAnswer: -0.31517319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -139 + 146. Sort -26, q, 2.\nAnswer: -26, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(128) - sqrt(128)) + 2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-1) - (-4 - -7). Suppose -8*w = -f*w - 30. Suppose -3 = 3*n, -5*j - 3*n + 5 = 2*n. What is the least common multiple of w and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, u: 16}. What is prob of sequence uw?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 11. Let f = 423080 - 423055.0019. Let q = s - f. What is q rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6 - (-10373)\/22. Let g = -472 + p. Let c(d) = 3*d - 7. What is the smallest common multiple of c(7) and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27825.\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1437832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27944 is divided by 13965.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 484, 460, 436?\n\"Answer: -24*o + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*z - 31, -2*z + 5*y - 12 = -3*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 287068452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b + 160. Let z be c(11). Let i be z\/2 + (46 - 46). Solve 6*m + i*m - 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819232489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152020 + 1919377. Suppose -6*h = -v - 4168603. What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 14 = -8, -4*x + 5*b + 86 = 0. Let o(t) = x*t - 36 - 20*t + 27. What is o(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6742, 6691, 6638, 6583?\n\"Answer: -q**2 - 48*q + 6791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(17) + 5 + 0 + sqrt(17)*-4).\nAnswer: -28*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 474 + -489 - (-10 + -2). Let m(s) = -4. Let f(x) = -7*x**2 - 4 + 15*x**2 - 9*x**2. Suppose -3 = -3*h + 3. What is b*m(d) + h*f(d)?\nAnswer: -2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 23, 30, 39, 50, 63?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 + -44?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**6\/27 - 2*i**5\/9 + 2*i**4\/9 + 7078. Let o(h) = 0. Calculate h.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) -2 (c) 2\/3 (d) 0.2 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/20 + q**4\/4 - q**3\/3 - q**2\/2 + 3*q. Let a be k(-3). Solve -2*v = -3*v + a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2246289464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*z**2 + 10\/11*z + 8\/11.\nAnswer: 2*(z + 1)*(z + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)\/(8508\/1080516)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + -2 + 13 + -53 + 43\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*o - 201 + 114 = -110, -11*o - 22 = 0 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (16 - 20)) + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376418 = 13*p + 10*p. Is 6 - (p\/8 + (-40)\/32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 9*z + 3. Let n be t(-6). Let j = n - 18. Factor -3 + 3*g**5 - 9*g - 8*g**3 + 9*g**4 + 14*g**j + 0 - 6*g**2.\nAnswer: 3*(g - 1)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 4*g**2. What is the remainder when v(3) is divided by (-4 - -15) + (-1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - -11)*8\/(-6). Suppose 50 = o*f + g, g = -2*f + 4*g + 18. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*a + 35, 0*x + 10 = -5*x + 4*a. Suppose l + 4*b - 54 = -0*b, x*l = 5*b + 121. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-3 + 1 + 0) + 8 - 24 + 10)*(1 + 2*w - 1)*(-3 - 5 + 1).\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-35) - 2\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5719*o. Let a(b) = -299*b**2. Calculate a(d(g)).\nAnswer: -9779381339*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 32 = -4*f + 19, -34 = -f + 5*r. Is 2253\/f + (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69 - 51) + (-80)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 + 1.2. Let y = -0.344 - -0.344. What is the nearest to 0 in y, 2, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -7. Let m(h) = -4*h + 8. Let w(n) = 1. Let y(b) = -m(b) + 5*w(b). Let t(s) = -7*s + 5. Determine g*y(o) - 3*t(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -35*h - 9*h + 120, -h - 7*r = -3*r + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:04 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 1\/4*z**4 - 1\/2*z**3 + 41*z + 0 + 1\/20*z**5 + 0*z**2. What is s(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2922*x = -2947*x + 125 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 150 from -92371.\nAnswer: -92521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92235?\nAnswer: 3, 5, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 6552\/(-195))\/(21\/(-198))*-5\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.8 + 13. Let a = y + -1. Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvvv when four letters picked without replacement from {n: 9, v: 5}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 907984 and 32428.\nAnswer: 907984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 1 + 2037849*z**2 - 12*z + 25*z.\nAnswer: 2037849*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30624 is divided by 471.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 15*z - 36 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 + 5. Let x be l(2). Let v = x + -52. Suppose -4*i + 3 = -v. Solve -5*p = -2*j - 5, -3*p - 4 = -3*j + i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 24 + 15 - 11*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 54860 (base 9) to base 2\nAnswer: 1000111001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.2 - -30. Let p = 204 + -175. Suppose 134 = -21*q + p. Which is the closest to 8? (a) -2 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2\/3*1. Suppose -2*q = 4*c + 64, -4*q - l*c - 134 = -0*q. Let t = -13 - q. Calculate the remainder when 61 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (14 - 18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286347 + -3149811\/11. Factor -20\/11*z**2 - 12\/11*z**4 - m*z - 2\/11*z**5 - 24\/11*z**3 + 0.\nAnswer: -2*z*(z + 1)**3*(z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7488, 30040, 67666, 120372, 188164, 271048, 369030, 482116?\n\"Answer: x**3 + 7531*x**2 - 48*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:25 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f. Let p(m) be the first derivative of -2*m**5\/5 + m**4\/8 + 29*m**2 + 28. Let z(c) be the second derivative of p(c). Give z(a(y)).\nAnswer: -96*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4 + 1 - 2*a + 12 - 17.\nAnswer: -2*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-232*y**2 - 26*y**2 - 12*y**2)*(-2 - 5 + 2)*(2 - 2 - 4).\nAnswer: -5400*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-28)*(-16)\/33\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 1 + -185 - (-4)\/1. Let j = u - -89. Let a = j - -96. Solve -g + 0*g = -a*p - 6, g - 4*p - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h - 27. Calculate the remainder when g(-5) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -43. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 38\/1060933 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1879 - -1878.9999992094. Round y to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -62?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:50 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4374, 35078, 118468, 280902, 548738?\nAnswer: 948334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1803*w**2 + 1804*w**2 - 2*w + 116*w**3 - 3607*w**2.\nAnswer: 116*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 160 + 163 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**4\/24 + 7*u**3\/3 + 7*u**2. Let r(b) = b - 1. Let a(d) = -o(d) - 2*r(d). Does 18 divide a(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76)*-2 - sqrt(76)) - -5*(sqrt(76) + -2*sqrt(76)))\/(3*(sqrt(12)\/sqrt(3) + sqrt(4) - sqrt(4))*-2) + -3.\nAnswer: -3 - 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 36 = -9*u. Suppose 6*p - 7*p = -u. Calculate the remainder when 51 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, -20, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Let r be 3\/6*-2 + b. Suppose y - 3 = r*q, 3*q - 34 = -4*y + 4*q. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1002 and (-4 - 25\/(-8))*-22.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofbaobxzbffbbbof. What is prob of picking 1 z, 2 b, and 1 a?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**3 + 5*p**3 - p**3)*(-p - 4 + 4) - 522*p**2 + 4*p - 2*p**4 + 505*p**2 + 0*p to the form s*p**3 + m + i*p**4 + b*p**2 + q*p and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 + 106\/4. Let z = 30 - x. Suppose 0 = z*d + 2*d - 25. Solve d*u - 1 = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8869 is divided by 566.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a millennium in centuries?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0104 - 0.010398966. Round u to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m - 434 = -1144 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 23835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-2)\/5 - (-24)\/(-240))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11772042 by 222114.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**5\/60 + 7*d**2\/2 - 2. Let q(i) be the second derivative of j(i). Let k(o) = -4*o**2. What is q(k(a))?\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/50 and (3\/(-10))\/((-17)\/(66810\/(-108)))?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.836373 times 0.09?\nAnswer: 0.52527357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 10*n - 216. Let i = -9 + 12. Calculate the remainder when n is divided by ((-2)\/(-6))\/(i\/126).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225*k + 222*k + 1 + 8*k**3 + 1 to n + z*k + w*k**3 + a*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 194 - 194 - 147*c + (-3 + 3 + 1)*(-2 - 3*c + 2) + 3*c - 4 + 2 + 1.\nAnswer: -147*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from zfzzzzwfffzfffwfzzz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142821192?\nAnswer: 2, 3, 7, 47, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -6. What is the second derivative of -o - 3*o + o**x + 2*o**2 wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61504 * 0.01\nAnswer: -615.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.5994 and 0.05.\nAnswer: 1.52997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74\/33 - 32\/11. Sort -2, m, 3 in ascending order.\nAnswer: -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1842.\nAnswer: 12894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101223 (base 4) to base 14.\nAnswer: -5ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321 + 155. Let t = s + 159. Put t, -4, -3 in descending order.\nAnswer: -3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 5*m - 14. Let y(a) = 4*a**2 + 7*a - 22. What is 7*d(t) - 5*y(t)?\nAnswer: t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 5*i**2 + 6*i + 8. Let q be g(-4). Solve 3*c + 12 = -q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(8 + -1) - 29\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = -13 + 46 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -16484816*b**4\/15 - 17219288*b**3\/15 - 49692*b**2 - 3654*b\/5 - 18\/5 = 0?\nAnswer: -1, -3\/202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 38*u**2 - 1197*u - 606. What is g(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/(2\/5290*(-5 - (-5 + -5)))?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g - 2. Let w(s) = -228*s + 36. Calculate 24*v(o) + w(o).\nAnswer: 36*o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/5)*b*b*b**(-4\/9) assuming b is positive.\nAnswer: b**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7469263 and 60883?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -74 + (-8 - -8 - 7) - (42 + -51)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3 - 550*n**2 - 548*n = 0. Calculate n.\nAnswer: -274, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1234608 + 1234512.9951. Let s = -95 - i. What is s rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 7:58 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1738832238 to the nearest one hundred thousand.\nAnswer: -1738800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7926887 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/7*(49 - 50).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(637) + -3 + 5 + -4) + -3 + 0.\nAnswer: -42*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -62. What is the nearest to 2 in -2\/3, 9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17493727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (-3 + sqrt(475))*-4)**2 - (2*(3*sqrt(228) - sqrt(228)))\/sqrt(12).\nAnswer: -604*sqrt(19) + 12019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -13. Let l be 4\/10 + 26\/q. Let m be (-2)\/7 + 0\/(-1). What is the nearest to -2 in 0.5, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**8\/6720 - z**7\/630 + z**6\/144 + z**5\/30 - 13*z**4\/12 + 14*z. Let f(a) be the third derivative of j(a). Calculate f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 33. Let g be l(-5). Let a(h) = 2*h + 11. What is a(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose -2*g + 2 = 4*n, 4*g + 2*n = -10 - 4. Let b = -3 - g. Solve b*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -3\/11, -2, 0.3 in increasing order.\nAnswer: -2, -3\/11, 0.3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 269.675 nanoseconds?\nAnswer: 0.000269675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 5*w**2 + 3*w**3 + 1 + 4*w - 5. Let y be c(6). What is y rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 k, and 2 a when four letters picked without replacement from plkaapaiaaaiaiae?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2982, -4836 in decreasing order.\nAnswer: 5, -2982, -4836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 3*k - 3412 + 31*k**2 + 3412.\nAnswer: 29*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-17)*(-3)\/(-5)*(-635)\/1143?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 290527224, 290527223, 290527222?\n\"Answer: -s + 290527225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*q + 155*q + 121*q**2 - 78*q to the form j*q + t + p*q**2 and give p.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 5:58 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.891553 hours?\nAnswer: 10409590800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30100 and 1210.\nAnswer: 3642100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyryyyyyyyyyyyy. Give prob of picking 1 y and 1 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3423574 divided by 946?\nAnswer: -3619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 4, s: 5, y: 5}. Give prob of picking 1 s, 1 y, and 1 e.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 54. Let t = 26 - n. Let d be -4 + (2 + t - -6). Solve -d*a + 4 = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in centimeters?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7712*i**3 + 14970*i**3 - 7326*i**3.\nAnswer: -68*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 11\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + 0 + (0 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 6031098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/5)*j)\/j*j**(-9)*j)\/(j**(-1\/6)*j\/(j*j\/(j**(-3)\/j))) assuming j is positive.\nAnswer: j**(-37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q + 1. Let s(m) = -5*m**2 - 8*m - 8. Let y(v) = -v**2 - v - 1. Let z(i) = -s(i) + 3*y(i). Suppose 2 = 14*d - 15*d. Let c be z(d). Determine j(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4640, -9664, -15252, -21686, -29248?\n\"Answer: -47*p**3 - 4695*p + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 336 = 3*d - 2*k, 3*k = 2*d - 228. Suppose 5*f = 4*f + 12. Calculate the greatest common divisor of d and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1121*v**2 + 1096*v**2 - 2417*v**2 to the form b + k*v**2 + t*v and give k.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fll. What is prob of sequence lfl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**8\/84 + 8*w**7\/105 + w**6\/6 + 2*w**5\/15 + 7*w**2 - 6*w. Let o(r) be the first derivative of j(r). Solve o(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = 31. Suppose -2*q + 16 = -64. Let z = q - t. Solve z = j + 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(4\/64*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.31564 to 1 dp.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.7 + 4. Let o = -11.3 + w. Let t = o + 11.058. What is t rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*v + 44*a**3 + 12989*a**2*v - 2*a**2 - 147793*a + 30*v wrt a?\nAnswer: -12*a*v + 264*a + 25978*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2135 (b) -22 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 442 or 247?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*s**4 + 3660*n*s**2 + 2*n*s - 10747*n wrt s.\nAnswer: -12*n*s**2 + 7320*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 - 10*x - 2. Let q(u) = u**2 + 3*u + 1. Let a(k) = 11*q(k) + 4*t(k). Suppose 0 = 3*d + d + 8, -4*y - 20 = 2*d. What is a(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*c = 288*c - 318. What are the prime factors of c?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 34 = -3*k, k + 0 = -2*b - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 6, -1\/13, 1\/3, 3, 2\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, -4, 1\/30 in descending order.\nAnswer: 1\/30, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**8\/13440 + p**4\/12 + 2*p. Let q(g) be the third derivative of u(g). Determine v, given that q(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:48 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26166244 to the nearest integer?\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 128572 - 5?\nAnswer: 12856a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 8*q = 12*q + 1980. Calculate the lowest common multiple of q and 330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -39*d + 8. Suppose 4*l + l + 85 = 0. Let n = -5 - l. Calculate the remainder when w(-1) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, -7, -211, -621, -1309, -2347?\n\"Answer: -12*a**3 + 5*a**2 - a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38301243 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - z**4 + 2*z**3 - 43*z**4 + 2 + 103*z**3 - 103*z**3 + (-7*z + 7*z - z**4)*(15 + 1 + 4) to j*z + h + d*z**3 + a*z**4 + x*z**2 and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x**3 + 2*x**3)*(15 - 12 + 9 - x).\nAnswer: -x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16*-6)\/((-6)\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6)\/((-3)\/8). Suppose -23 = -i*k + 1. Let h be 32\/k - 4\/12. Let m(u) = -u**2 + 4*u + 2. Give m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-969)\/(-51)*8\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2143 or -6430\/3?\nAnswer: -2143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -105*y**3\/2 - 19*y**2\/2 - y - 37. Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500586 + 500189 + 500181 + 24*o**3 + 500216.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 9*l**5\/110 - 7*l**4\/22 - 14*l**3\/11 + 72*l**2\/11 + 16*l - 19. Factor h(o).\nAnswer: 6*(o - 3)*(o + 2)*(3*o - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177833 by -9.\nAnswer: 177833\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/738 and 29\/10.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.8. What is the fourth biggest value in 1\/4, -6\/7, g, 3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/o**(-1)*o)**(-4\/11)*((o**(-2)\/o)\/o)**(-3\/5))**(-24))**(4\/7) assuming o is positive.\nAnswer: o**(-3072\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, w: 1, p: 5, i: 5, f: 3}. What is prob of picking 2 f and 2 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose -r*w + 7 = -3. 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 the difference between 2362947 and -2.0227?\nAnswer: 2362949.0227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -106*t - 3. Let z be r(2). Calculate the remainder when 98 is divided by (-43)\/z + 178\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376734, -376726, -376714, -376698?\nAnswer: -376678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**4*l + g**4 + 3*g**3*l + 12*g**3 + 2*g**2*l - 4613*g wrt g.\nAnswer: -168*g*l + 24*g + 18*l + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from kwkakkeeawakbwakkaeb.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:45 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.24535 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 434?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z**3 + 102*z**3 - 55*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23486126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/5, 0.2, 5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 393170553 and 362.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/144492804 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-1 + 1 - (2 + -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 a be (350\/28 - 14)*(-14 + 0). Solve -4*w + a = -5*i, 10*i - 25 = 15*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 2*u**2 + 6*u**3 + (2*u + 2*u - 5*u)*(4*u**2 - u**2 - u**2) + 23*u**3 - 24*u**3 - 26*u + 6 - 7 to x + p*u**2 + k*u**3 + n*u and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 796253\nAnswer: -15\/796253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 4*a - 12*a**2 + 0*a.\nAnswer: -12*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 405 + -400. What is the second smallest value in -0.03, y, 2\/155?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 836 = 62*v + 31*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**2 + a - 3. Let o(b) = 19*b**2 + 10*b - 6. Let t(r) = -2*o(r) + 4*s(r). Let y(w) be the first derivative of -2*w**2 + 12. What is y(t(v))?\nAnswer: 8*v**2 + 64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/275, -3, -5676\/7, 2\/15 in decreasing order.\nAnswer: 2\/15, 4\/275, -3, -5676\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 0.5, -606, -0.007, 3?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -36215*n - 181342. What is b(-5)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-62)\/(-341)*2*44\/16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3416479, 6832882, 10249287, 13665700, 17082127, 20498574?\nAnswer: 23915047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 7*p + 7. Let i be (-3)\/((-63)\/(-24) + -3). Let v be z(i). Let s be (-2)\/(-3)*(-9)\/(-2). Sort v, 5, s in ascending order.\nAnswer: v, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/(-338) + (-7)\/(273\/150). Suppose -3*j - 4*b = -26, -b = -5*j - 4*b + 25. Let u = 5 - j. Sort -1, u, p in increasing order.\nAnswer: p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 0, 0 = -3*w - 0*w + 2*g - 2. Suppose -86 = -w*t + 118. Let f = -60 + t. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b + 6*b - 2*b**3 - 29*b**2 - 6*b**2 - 68 + 0*b**3 + 229 wrt b?\nAnswer: -12*b - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {v: 4, t: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 178 = 439. Let v(t) = t**3 - 29*t**2 + 17*t + 22. What is the units digit of v(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 3. Let n be k(3). Suppose 4*u - 2*u + 8 = n. Sort 3, 1, u in descending order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 + 1 - (9 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/16140 and -44\/75.\nAnswer: 80700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 375*c**4 - 370*c**4 - 2*c + 0 to g*c**3 + k + t*c**4 + p*c + d*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = 0, 28 = -264*z + 260*z - 2*d. Sort -18, z, -2, 0, 3 in decreasing order.\nAnswer: 3, 0, -2, z, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:08 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14647 * 41\nAnswer: 600527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.507755 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7002331415333 minus -0.3?\nAnswer: -7002331415332.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 = 5*b - 3*m, 0 = -b - 22*m + 18*m + 92. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15463500 and 267696.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100343 (base 5) in base 4?\nAnswer: 302113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9*w + 17*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/112 and 73\/400.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154.7 and 0.006.\nAnswer: -0.9282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/12 and 111\/341236?\nAnswer: 1023708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 y when three letters picked without replacement from wzmhwjzhyjwz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*y - 292*y = -411*y + 657*y - 53466 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*g**3 - 9*g**2 + 41818?\nAnswer: -177*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -44. Let t = 45 + f. 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 mth term of 4881, 8983, 13089, 17205, 21337, 25491, 29673, 33889?\n\"Answer: m**3 - 4*m**2 + 4107*m + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/7)\/c**2*(c**(-3)*c*c)**(-17) assuming c is positive.\nAnswer: c**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:09 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 13, -2\/13, -1\/5, 4655, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -1125, 13 in ascending order.\nAnswer: -1125, 13, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -5, 0.27, 5, 2\/3, 0.03, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128, 122, 114, 104, 92, 78?\n\"Answer: -r**2 - 3*r + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 522249.23 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21471709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(4\/6 - (-8)\/6). Suppose -m*i - 24 = -4*g, -2*g - 2*i = 3*i. Let u be (4\/(-10))\/((-2)\/10). What is the second biggest value in g, -4\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 343572*g**5 + 97*g**4 - 51013976*g**2 wrt g.\nAnswer: 20614320*g**2 + 2328*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 12. Let v be (-6)\/(-2) - (-45)\/(7 + -2). Calculate the greatest common divisor of a and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -28 - 116. Is 3 a factor of (2\/(-4))\/(3\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**3 + 5*o + 3. Let f(y) = 3*y**3 + 2*y + 1. Let n(u) = 5*f(u) - 2*t(u). Let w be n(1). What is the derivative of -8*l + 10 + w*l + 1 + 21*l wrt l?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 879 + -880. Which is the closest to l? (a) 0.4 (b) 0.3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 5*i + 4 + 2 - 2. Give s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89\/126 + 5\/126. Which is the third biggest value? (a) -3 (b) 0.07 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68489329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/128169 and 31\/1230.\nAnswer: 52549290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 + -562. Let f = 268.1 + y. Let g = -11.65 - f. Round g to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-416)\/(-1560))\/(7\/(-1680))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 286 + 5?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:40 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190.71 + 190.81. Let z = -16.6 + 35. Let c = -0.4 + z. What is the nearest to u in -2, c, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98a60 (base 11) to base 8\nAnswer: 430515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128110 divided by -115?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33264218 divided by 118378.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717401 divided by 5007?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1102*z**3 - 4*z**2 + 596*z + 7. Let i(m) = 1102*m**3 + 3*m**2 - 598*m - 6. Let p(q) = -7*i(q) - 6*s(q). Find the third derivative of p(o) wrt o.\nAnswer: -6612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 + f + 5. Let j be ((-1)\/2)\/((-2)\/16). Let u be y(j). Let v be 6\/u + (-14)\/(-6). Solve 2*n - n = -v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 11:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -2.2. Sort -0.5, t, -1\/5.\nAnswer: -0.5, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16298 and 4496.\nAnswer: 130384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 32 = -2*t - 2*t, 0 = 3*c + t + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnnj when four letters picked without replacement from {j: 4, n: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8.7823 + -0.015\nAnswer: -8.7973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*n - 115*n - 16*k + 72, 5*n + 18 = -4*k for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*t + 67*t - 15*t)*(-t**2 + 2*t**3 + t**3 + 0*t**2 + t) as p*t + m + k*t**2 + i*t**3 + f*t**4 and give i.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 38. Suppose -4*s = -2*l - 6, -2*s - 2*l + 6 = -c*l. Suppose -66 = -p - s*r, -2*r - 30 + 172 = 2*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m + 2180 - 5006 - 3849 + 6981867*m**2 - 6982960*m**2 with respect to m.\nAnswer: -2186*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12630 - -13445. Solve -l*j = -814*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121721607.\nAnswer: 3, 7, 1932089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4887*r + b = 4884*r + 15, -5*b = 2*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(112) - (sqrt(112) - (1 + sqrt(112))) - sqrt(112)) - 1*(sqrt(112) + 1 + sqrt(112)))**2.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294172*h**3 - 226*h**2 + h - 134 wrt h?\nAnswer: 1765032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1621 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*t**4 - 10*t**5 + 3*t**5 + 0*t**4 + 5*t**2 wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(42)\/sqrt(6))*3)\/((sqrt(225)\/sqrt(5) - sqrt(45)) + (sqrt(500)*2 - sqrt(5))).\nAnswer: 3*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - m = -71 - 13 - 20, -97*w = -95*w + 4*m - 38 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -21*s**4 - 2*s**3\/3 + 169*s**2 - 1711*s. Find the second derivative of a(h) wrt h.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16089473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*2*sqrt(125) + 2 + -2*sqrt(125) + 2)*1 + 3)**2.\nAnswer: 240*sqrt(5) + 8009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/20 and -13\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2103*x + 1. Let f(m) = -2103*m - 1. What is 2*f(n) + 3*h(n)?\nAnswer: 2103*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/9855 and -52\/117401301.\nAnswer: 1761019515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11382360 divided by 2?\nAnswer: 5691180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (49 + 6293\/(-124))\/(-6*2\/(-64))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50893398.\nAnswer: 2, 3, 61, 46351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17597\/8326 + -174\/181. Find the common denominator of y and 10\/13.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5509260 - 148846. Let v = u - -5658428.0279. Let b = -322 + v. What is b rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-9)\/3)\/54. Let t be (-414)\/5*(-20)\/8. Let z be 23\/t*(3 - 0\/1). What is the closest to z in 1, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -237*z + 241*z - s, -60 = 5*z + 3*s for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from yryryyyyyyrryyyyyyr?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {v: 2, b: 1, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8.93. Let p = -1.83 - o. Let w = p - -2. Is w < 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/990*(21 - 0). Let i = -41\/33 - a. Let o = -1\/3 - i. Which is bigger: o or 0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*x - 37, -10 - 13 = -3*t + x. Which is the nearest to 1? (a) t (b) 5 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16125)\/(-1677)*260\/550.\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 11:33 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -c55b3 (base 15) to base 3\nAnswer: -1011210020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47727 - -4146. What is the ten thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-237)\/306 + 2\/(-34). What is the closest to t in 4, 2\/11, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*n + 2*y + 3*y, 15 = -2*n + 3*y. Let d be 20\/15 + (-2)\/(-3). Suppose w - d = 3*w. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 5842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**5\/60 - g**4\/12 + g**3\/6 + 19*g**2\/2 - 23*g. Let p(x) be the first derivative of m(x). Let p(d) = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2574105 (base 8) in base 12?\nAnswer: -2a8059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(280)\/sqrt(5) + (sqrt(336)*-2)\/sqrt(6))\/(((sqrt(72) - sqrt(72)*-2) + sqrt(72))*-4))**2.\nAnswer: -sqrt(7)\/12 + 583\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997753838?\nAnswer: 2, 59, 443, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 48*f**2. Let v(l) = -12*l. Determine v(n(d)).\nAnswer: -576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let r be p(-2). Suppose -r = -s - 2*l, 0 = 3*s - 0*l + 3*l - 6. Is 1\/5 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 549.29 + -552. Let y = 2.71000654 + t. Round y to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-23) + (-167)\/((-795087)\/389988)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-777)*9\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -31.1. Let n = -1.9 + t. Let h = -13 + 25. Which is the nearest to h? (a) n (b) 5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 - 1220012?\nAnswer: -1214421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 19. Let x be j(-6). Suppose 8106 = -x*w + 43*w. Is 76 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 17. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 766598.4 litres?\nAnswer: 766598400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 11. Let c be i(7). Let w = c - -17. Solve -3*r = -w*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 23*c - 8)*(-c + c + 3*c).\nAnswer: 69*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -3 (c) 3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 206. Let i = -99 + j. Solve 0 = i*t + r - 6, 5*t - 2*r - 15 = -7*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 7}. Give prob of sequence eooe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -22 + 27 - (-5 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 10) to base 14\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 2*m - 3*x, 2*x - 140 = 3*m + m. List the prime factors of (-368)\/m - (-2)\/(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*m - 909 = 0, 11*n - 4*m = 6*n + 1514. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r + 3. Let h(l) = -5*l - 26. Let v(i) = -11*i - 51. Let b(m) = -13*h(m) + 6*v(m). Let k be b(32). Solve k*f - f = -r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 13. Let c(b) = 12*b + 40. Let v(g) = 3*c(g) + 10*f(g). Let d be v(-11). What is the greatest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3058 + -3051. What is the third biggest value in l, 4, -4, -0.2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 6 = 9*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16276 is divided by 64.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14524197 - 8637.\nAnswer: 14515560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = h + w + 10, 0 = -2*h + 2*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 734589644 and 0.5.\nAnswer: 367294822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 114280 + 34836353\nAnswer: 34950633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 0*h**3 + 26 - h**3 as i + b*h + p*h**3 + f*h**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3 - 7*y**2 + 8*y**2 + 5 - 2*y. Let n be p(6). Suppose -i + 48 = -30. Calculate the greatest common factor of i and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 - h**2 + h**2)*(-2*h - 3*h + 7*h) + (2*h - 5*h + h)*(-239*h + 239*h + 28*h**3).\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1. Let s be 1 + 0\/4 - (-1 - -1). Let q(a) = -2*a**2 + 2*a - 4. Determine s*q(m) + 3*x(m).\nAnswer: -2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*z + 13, l + 367 = 5*z + 335 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/17))\/j*j**(-8)\/j)**(18\/5)\/(j**8*j**(-8))**32 assuming j is positive.\nAnswer: j**(-558\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 6. Let c be f(0). Suppose 6 + c = -4*k. Let b be 4 - (-1)\/(3\/(-6)). Sort 3, k, b in ascending order.\nAnswer: k, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 125182289\/68*1936\/24. Let g = a - -148498333. Let t = 2225 + g. Find the common denominator of t and -119\/10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1302203?\nAnswer: -1302203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 815217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = o + 3*o + 6, 0 = -3*w + o + 5. Suppose 6*c = 3*c + 27. Suppose -h + c = w*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r - 2. Let b be y(3). Let l(g) = 215*g + 6. Is l(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v + 567 + 69*v**2 - 11*v + 29*v**2 - 569 + 49*v**2 to x*v + f*v**2 + l and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5 - 2\/5*t**2 + 4\/5*t.\nAnswer: -2*(t - 4)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 1, t: 1, i: 2, m: 1, a: 1}. Give prob of picking 1 t, 1 i, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140993*m + 745*m**3 - 140993*m.\nAnswer: 745*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a + 48. Let i(u) = -1. Let g(y) = i(y) - m(y). Let c be g(-8). Let k be (-3)\/4 - (-1 + 140\/688). Which is greater: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9443627.0116563 + -0.8?\nAnswer: -9443627.8116563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 337 + -351.3. Let y = -20.3 - k. Let o = 175\/6 - 521\/18. Which is the nearest to 2\/7? (a) -5 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*r + 62, -5*r + 3*n = -19 + 134. Calculate the common denominator of 1\/(4\/r)*-6 and 29\/(-2)*(-2)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/38*(-2166)\/(-8436)*-111?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 121*h**2 - 47*h + 1. Let r(d) = -2*d + 1. Let p(g) = -3*g + 1. Let n(b) = -3*p(b) + 4*r(b). Let i(v) = 3*n(v) + s(v). Determine z so that i(z) = 0.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/((-16792)\/(-2800) + -6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**2 + 6. Let z(o) = -2*o. Determine z(p(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 1\/6 (c) 3 (d) -0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2\/21, -10\/369, 1\/3, -5, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32812930043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -149. Let w = -64 - x. Solve d - 5 = 5*m + 3*d, -5*m + w*d = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16890351 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*p + 9 = -13, 2*p = -4*j - 34. Let h be (j\/(-20))\/((-3)\/5). What is the smallest value in 3, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869914682.\nAnswer: 2, 7, 13, 29, 43, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*r - 1 = 0, 3*r = 3*g - 5 - 10. Suppose -y + 0*y = -g. What is n in n**y + 0*n + n**3 + 0*n - n - n**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q - 34. Let k be v(15). Let c be (k\/(-56) - -2)*-12. Let o be 2*-2*2\/(-8). What is the second smallest value in c, o, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*d = -1, 7*w - 4*w + d = 26. Suppose w*n + 40 = -3*n. Is (-8595)\/(-27) + n\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*60\/2250)\/((-2)\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, x: 6}. Give prob of sequence ffx.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.11 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1599992 - -0.16. What is y rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0347095 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 17*d**2 + 2*d + 3. Let s be q(-1). Let n be (0 - (0 - -1))*3. Let p = s + n. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**2 - 11*i + 83. Determine b(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/120 + u**4\/24 - 13*u**3\/3 + 17*u**2. Let x(y) be the first derivative of d(y). What is x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16543 - -25484. Is k 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 {a: 11, l: 2, b: 6}. What is prob of picking 2 l and 2 a?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.042 in 0, -16, 0.1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 10*k**2 + 37*k + 270. Calculate l(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -81, -196, -359, -570?\n\"Answer: -24*o**2 + 5*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17913.471 minutes?\nAnswer: 298.55785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 50*v + 114. Let w(y) = 33*y - 732. Let t be w(23). Give h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166236?\nAnswer: 2, 3, 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1343331?\nAnswer: 1343324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 557, 890, 1275, 1712, 2201, 2742?\nAnswer: 3335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 + 0*s**2 - 3*s**2 - s + 12 in the form m + p*s + a*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55\/21 + -47\/42. Let d(f) be the second derivative of f - w*f**2 + 5\/6*f**4 + 0*f**3 + 0. Differentiate d(v) with respect to v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -383443.8 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -107*u**2 - 1385*u - 607. Give h(-13).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/35405414 or 0?\nAnswer: 1\/35405414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161291350.\nAnswer: 2, 5, 11, 293257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 19714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 8 = -2*b, 4*b + 81 = 5*a + 58 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 20. List the prime factors of k(-11).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -413*c + 412*c. Solve c*p - 12 = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)\/(c*c\/(c*c\/((c*c**(-7))\/c))*c))\/(c**(1\/4))**29 assuming c is positive.\nAnswer: c**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1215*n**2*s**3 + 2*n**2*s**2 + n**2 + 2182*n wrt s.\nAnswer: 7290*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148202871?\nAnswer: 3, 37, 179, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -235 + 268 + 41 + -11 + -1\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 3 = 3*h. Suppose h*y + 3 = 4*v - 15, -2*v - 5*y = -22. Is v at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 49*k - 1716. What is the remainder when z(37) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 268\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 572 + -562. Let l be (-1)\/(((-92)\/(-575))\/((-2)\/w)). Find y such that -l*y**2 - 5\/4*y**3 + 0 + 5\/4*y**4 + 5\/4*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*v = 92*v + 503107. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*7\/(-133)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8407308047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186148804?\nAnswer: 2, 223, 208687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 0*u**2 + 2*u**2 + u. Let l be i(-1). What is the second derivative of -c - 4*c**l + 2*c**5 - c wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b. Let g = b - -2. Solve 2*v - 4 = -r + 4*v, -v - g = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 53 = -4*v + 367, -2*v + d + 210 = 0. Calculate the lowest common multiple of v and 50.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5383017cm?\nAnswer: 5.383017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -3586440?\nAnswer: 3586456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00251 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2625)*-6855 + -24 + 4\/(-70)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 + 410 = 13*x - 6*x. What is the greatest common divisor of 3604 and x?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -w - l - 3*l - 2, -5999*w + 6003*w - 2*l = 30 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 1512 = -30*t. Let y = t - -49. List the prime factors of y.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1067 and 873?\nAnswer: 9603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(sqrt(2) - (sqrt(16)\/sqrt(8) + -1)**2) + (sqrt(8) - (sqrt(40)\/sqrt(5) + 3)) + sqrt(200) + -2 + -1.\nAnswer: -96 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r + 24. Determine s(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u - 1. Let y(w) = 13*w + 1. Suppose 49*b - 119 = 77. What is b*x(o) + 3*y(o)?\nAnswer: -9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 3481 - 3478. What is the closest to -1 in m, 0.1, 4\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6171155ml in litres?\nAnswer: 0.0006171155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 44 = -2*w, 108 = 5*w - 3*u. Calculate the greatest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -150*u + 1. Let o(v) = -2*v. Give o(f(l)).\nAnswer: 300*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 132 + 0*n**2 + 0*n - 1\/3*n**3. Let s(r) = 6*r - 2*r - r. Calculate s(u(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -54?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24924544 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1189*q**5 + 3*q**4 + 68*q**2 + 25*q + 14218 wrt q.\nAnswer: 23780*q**3 + 36*q**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6295296 is divided by 783.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 equal to -2843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9289 take away 1.63454?\nAnswer: 9287.36546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13152711 by -2967.\nAnswer: 4433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/30*(48\/14)\/3. Let d(s) = 3*s - 8. Let o(k) = 3*k - 7. Let z(h) = 3*d(h) - 2*o(h). Let l be z(g). Solve -5 = -5*r, -5*a + 4*r + l = 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)\/c*c)\/(c**(2\/25)*c)*c\/c**(5\/6)*c\/((c\/(c*c**(-3)))\/c)*(c**(2\/9)\/c)\/(c*c*c**(-6)\/c)*c**(2\/13)\/(c\/((c\/(c*c\/c**0))\/c)) assuming c is positive.\nAnswer: c**(-21347\/23400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12*a**8 assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -2\/147, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 19 + -12 + 1 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0*f + 2*f + (0 - 2 + 1)*(3*f - f - f) + 2*f - f + 2*f)*(2*f + 2 - 2)*(-2*f + 0*f + 5*f) to the form m*f + s*f**3 + u*f**2 + p and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/9, 8\/9, -1\/157, 1\/4 in descending order.\nAnswer: 8\/9, 1\/4, 1\/9, -1\/157, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*u**4 - 58*u**4 + 34*u**4)*(0 - 2 + 1) - 3*u**3 + 3*u**3 - 4*u**4 as c*u + o*u**4 + a*u**3 + n*u**2 + r and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 24304.\nAnswer: 145824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-2)\/(4\/(-6)). Let f(d) = -d**3 + 8*d**2 + 13*d - 2. Calculate the common denominator of f(9) and 4 + m - 9\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574 = -67*c - 108 + 12 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -252, -1964, -6606, -15642, -30536, -52752, -83754?\n\"Answer: -244*s**3 - s**2 - s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/20 + -1 - 4 and -71\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464651987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 4)*(-2)\/(-4). Suppose 4*p - 2 = g*p. Let k(m) = 2 - 3 - p - 5*m**2. Let w(q) = 3*q**2 + 1. Give 4*k(r) + 7*w(r).\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)\/c)**(-9\/7)*((c\/c**2)\/c)**(-2\/11) assuming c is positive.\nAnswer: c**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116988 = 1561*d + 29746 for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 - 70*s**2 + 5*s**2 - 13 + 2 - 78*s**2.\nAnswer: -143*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d**2 - d - 1. Let u(f) = 2*f**3 + 2*f**2 - 2*f - 2. Let a(j) = 3*i(j) - 2*u(j). Let q be a(-2). Let w = q - 6. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214894 divided by -278.\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03847? (a) -0.3 (b) 1.2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*g + 18012 - 17466 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197092 + -128733. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, 0.99, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**2\/4 + 3*c\/4 + 9 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2, -5\/4, -8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -232652 and -0.05.\nAnswer: -232652.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 26. Let a = 36 - 24. Let s be o(a). Solve s*y**4 + 3*y**2 - 3*y**3 - 21*y**4 + 2*y - 15*y**4 = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-3)\/12*2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2614 divided by -391.\nAnswer: 2614\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64062.0897 - 64065. Let v = 67 + -69.9. Let f = s - v. What is f rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3774?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 1. Let o be s(-1). Let n be (-2)\/o + (-19)\/24. Let t = 0.2 + -0.3. What is the nearest to t in -4, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/8*(-32 + (-1528)\/(-48))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.41436 and 0.13.\nAnswer: 0.4438668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 2. Suppose 0 = -4*v - 5*k + 247, -k = -2*v + b*k + 129. Let j(z) = z - 63 + v. Let y(t) = t**2. Determine y(j(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -4, 1\/5290, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v + 145550. Suppose k + 2*u + 7276 = 0, 5*k + 5*u + v = k. Let o be (-4)\/(-18) - k\/(-117). Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, 2\/11, -0.5, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 8. Let q be t(3). Suppose 3*m - b + 479 = 0, -q*b - 334 = 2*m + b. Is -2 + 6 + -2 - m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 0 + 0)*(-2*n - 4*n**2 + n**2 + n**2) to k*n**2 + c*n + p + x*n**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15.3641453 times 1\nAnswer: 15.3641453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 5*i - 7, -7 = -7*l + 10*l - 2*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4590024 and -7817.9656.\nAnswer: -4597841.9656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 482 + -237. Suppose -4 = -4*k, 4*k + 275 = 4*s - m. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 3. Factor 0*o + 10*o**f + 3*o**3 - 4 + o**3 + 5*o - 3*o.\nAnswer: 2*(o + 1)*(o + 2)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2. Let g(j) = -102*j**2. Calculate b(g(m)).\nAnswer: 41616*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1)*-3 - 2. Let g(q) = -2*q + 1. Let t be g(-1). Suppose t*h - 28 = -z + 6, -h = -d*z + 201. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -68047\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116826935 or -116826936?\nAnswer: -116826936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92443639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -26.6. Let l = -11.85 + 13. Let f = s + l. Round f to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 51. Let f = q - 51. Let p = 17.99952 + f. Round p to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 3, n: 5}. Give prob of picking 2 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 + 201*i**3*t - i**3 + 31*i*t - 15 wrt i?\nAnswer: 12*i**2 + 1206*i*t - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27030*w**2 - 23554?\nAnswer: 54060*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740298.5ml to litres.\nAnswer: 740.2985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*c + 5, -f + 16 = -0*f - 4*c. Let o(n) = -2*n - 5. Let d be o(f). Sort 2\/5, -5, d in decreasing order.\nAnswer: d, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i - 299. Let t be q(-35). Which is smaller: 0.03 or t?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1608 and 30.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 42\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3025, 5850, 8675?\nAnswer: 11500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.409 - -0.109. Let i = d + 50. Let y = -0.2 + 0.3. What is the second smallest value in y, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 0.039 in descending order.\nAnswer: 0.039, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5*f**(-5))\/(f*f**1)**(-1))**(-37) assuming f is positive.\nAnswer: f**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/5 - 456*c**2\/5 + 13506*c - 2000432\/5 = 0.\nAnswer: -337, 53, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -104, -1\/3, -170.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*2*-6)**2*5*-1 + (sqrt(147) + -4*(-2 + sqrt(147)) - (sqrt(147) + -5 + -1*sqrt(147))**2).\nAnswer: -105857 - 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 6*c**2 + 3*c - 5. Suppose 0 = 3*j - 4*j - 5. Let b be u(j). Suppose 0 = -2*v + 8, -l + b*v - 20 = 3*l. Solve 0 = -4*n - 8 - l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*m - 35 = 0, 3*y = 11*m - 7*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 23. Suppose 0 = -2*p + j, 4*u - 31609 - 5903 = -5*p. Suppose 7*h = 20*h - u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16521316?\nAnswer: 2, 7, 83, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 27*f + 32. Let h = -163 + 193. What is the remainder when l(-10) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*w**4)*(-w + 3*w + 0*w) + 4 - w**5 - 4 + 3*w**5 + 2*w - 2*w.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 39645.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - 5*q + 5. Suppose -p = 5*s + 10, -s + 2*p = -3*s + 4. Let w = -23703 + 23708. Let y(i) = 2*i**2 - 3*i + 3. Calculate s*b(m) + w*y(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 343 + -119. Suppose 222 = -d + p. What is the highest common divisor of 54 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 + -9. Suppose -5*k - k = -h. Let m = -6 + k. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -84, 0.04, -1\/17, 1\/3, 1.1, -4\/3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 214809 and -0.1.\nAnswer: 214808.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, 2\/9, -2\/527115?\nAnswer: -2\/527115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.259, 38, -3?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61153 is divided by 1149.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 171, 2228, 7799, 18636, 36491, 63116, 100263, 149684?\n\"Answer: 292*c**3 + 5*c**2 - 2*c - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -95*a - 285. Let u be y(-3). Let c(j) = -j**3 + 5*j**2 + j - 1. Let i be c(5). Factor 0*f**3 - 2\/9*f**i + 2\/9*f**2 + 0*f + u.\nAnswer: -2*f**2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -3*b - 0*b - 88 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149\/336 + 3\/14. Calculate the common denominator of d and 25\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-8*(-6)\/4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2 - 290*t = 0.\nAnswer: 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1811 divide 27556176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 31, 48, 67, 88, 111, 136?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:52 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + g**3 + g + g + 3*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 35, 38, 41, 44?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/4 + 59*l**2\/4 - 35*l + 17.\nAnswer: -(l - 17)*(l - 2)*(3*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 14 - 9 + 5 + 11*j**2 - 9*j + 3*j**2 + 2*j. What is the remainder when 153 is divided by w(2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let y be 890\/(-1335)*((-90)\/(-4))\/(-3). Calculate j(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1769, 1712, 1655, 1598, 1541?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 3333428*q + 10000266.\nAnswer: 2*(q - 1666711)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*q + 1, -4*w = -2*w + 3*q. Let j(z) = -z**2 + 5*z - 2. Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 872260 divided by 6.\nAnswer: 436130\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l + 275. Let y be u(35). Suppose -62*x + y*x + 51584 = 0. What are the prime factors of x?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**3\/3 - 123. Let h(u) be the third derivative of -23*u**5\/30 + 44*u**2. Determine h(v(p)).\nAnswer: -46*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s + 21. Let u be y(2). Let q be -3*(-4 + u)\/15. Which is smaller: q or -2\/145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 813.2?\nAnswer: -810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 2*x - 17. Let p be q(6). Let h = p + 128. Suppose g + 2*j - 28 = 6*j, -3*g + h = -j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12))\/((6\/15)\/((-12)\/(-15))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 + 0\/2). Suppose -5*p = i*h - 4*p, 2*h = -3*p. Suppose h = 5*c + 1 - 11. Solve 3*w - 3*j = -3, -3*w - c = -w + 2*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6192, 51379, 174028, 412869, 806632, 1394047?\nAnswer: 2213844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7371 and 0.366.\nAnswer: 1.0017786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*k)*(142*k - 89 + 89) to the form g + h*k + f*k**2 and give f.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1369533 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q - 108. Let r be (50 + -35)*(1 + q\/(-5)). What is the highest common divisor of r and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -17. Let t be 3 - (24\/4 + v). Let p be 2\/(-4) - (993\/402 - 3). Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dssddvddddvvv. Give prob of sequence ddsv.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h. Let z(g) = -7*g**2 - 5*g + 5. Let c(j) = -8*j**2 - 6*j + 6. Let t(x) = -5*c(x) + 6*z(x). What is t(f(k))?\nAnswer: -162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - ((21 - 16) + 5 + (-7 - 1))) + 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t. Let y be t - (1 - 16\/18). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 3*x**2. Let z(k) = 2*k**3 + 2*k**2. Give 2*c(o) - 3*z(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - 6*r**2 - 5*r + 1. Is o(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 2*n - 2*n**2 + (-173*n + 66*n + 9*n)*(-4 - 2*n + 4) + 4*n**2 - 2*n**2 - 16*n**2 in the form o + m*n + j*n**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 5.3. Let j = q - 6. Let r = 9.7 + j. Sort -2, -1, r.\nAnswer: -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4074451000 rounded to the nearest one million?\nAnswer: -4074000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3452 is divided by 192.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 + h**2 + 116*h. Let g(t) = 14*t**3 - 3*t**2 - 347*t. What is 4*g(n) + 11*p(n)?\nAnswer: n**3 - n**2 - 112*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64 - 56 - 71)*(0 - 1 + h - 3) to the form l*h + i and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -213 - -11838?\nAnswer: 11625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1755 = -473*i + 446*i. Calculate the lowest common multiple of 104 and i.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -36 (b) 4 (c) 58 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66049259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4329871, -8659734, -12989599, -17319466, -21649335, -25979206, -30309079?\n\"Answer: -g**2 - 4329860*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -12. Let k(g) = 2*g**3 + 10*g**2 - 19*g - 32. Let r be k(-6). Solve -2*x + r = -p*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121\/33 + -11 - (-2)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - z - 2. Let f be o(2). Suppose l + 94490 = f*l. List the prime factors of l\/55 - (-6)\/(-33).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 54 - -1) + -5 + 9 - 8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225*b*c**3 - 13*b*f**2 - 7*b + 129*c**3*f**2 + 195*f wrt c.\nAnswer: -675*b*c**2 + 387*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 27 = 5*p + 39, -4*p - 970 = 134*s - 618*s - 3*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 832?\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1974264, 1974262, 1974260, 1974258, 1974256, 1974254?\n\"Answer: -2*v + 1974266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/6 + 8*r**3\/9 - r**2 + 198. Factor g(w).\nAnswer: -2*w*(w - 3)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(33)\/(sqrt(33)\/sqrt(27)) + (sqrt(3) + 5 + (sqrt(3) - (sqrt(27) + sqrt(3))) - sqrt(24)\/(sqrt(8) + sqrt(32)\/sqrt(4))) + -4).\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3, -0.2, -1\/4, 4, 0.253?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = y - 91. Let z be 2\/y*(-8 - (3 + -7)). Factor -4*m**3 + 13*m + 5 + m + 6*m**3 + 10*m**2 + z.\nAnswer: 2*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00732938 rounded to 5 decimal places?\nAnswer: -0.00733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 2. Let o be h(0). Suppose 3*s = -5*j + 5, -5*j + 5 = o*s - 5. Suppose j*w - 30 = u - 4*u, 0 = -5*u - 4*w + 42. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -7*g**4\/12 + 31*g**3\/6 + g**2 - 2*g - 199. Let j(m) = -20*m**2 + 88*m + 6. Let t(f) = 6*j(f) - 17*s(f). Give t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/147, 2\/9, -2\/3, 0.06, 1\/8 in descending order.\nAnswer: 2\/9, 1\/8, 0.06, -22\/147, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i - 64*i = -3*p + 2, -i - 16*p + 6 = 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9613 at least as big as 38451\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -25. Calculate the remainder when 55 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f**3 + 46*f**2 - 3*f - 23. Let n(a) = 5*a**3 - 16*a**2 + a + 8. Let o(s) = -6*c(s) - 17*n(s). Let u be o(1). Solve t = u*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/4 + 3169405*w\/2 - 10045128054025\/4 = 0. What is w?\nAnswer: 3169405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 1871, -1.42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 - 3*s + 11. Let g(k) = 4*k**3 + 2*k - 10. What is -2*f(o) - 3*g(o)?\nAnswer: -2*o**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {t: 1, k: 1, a: 1, g: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 32) + -3 + 8 + -16 + 8 + 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-36) - 3768\/(-108). Suppose 26*h - g*h = -234. What is the remainder when 154 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113 and 10.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2779.251465 - -3.613565. Let y = -2776 - q. Let f = y + 0.36. What is f rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16138 by -2.\nAnswer: -8069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/30)\/((-3)\/(-54))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 585, 944, 1287, 1614, 1925, 2220?\nAnswer: 2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9\/7)*u**15\/u)\/(u**(-3)\/(u*u**(-5))))**(1\/4) assuming u is positive.\nAnswer: u**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-2 + 0 - (40 + -36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-55))\/(88\/(-80)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 11658*n + 11654*n = -208, -5*n + 332 = 72 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 529530 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Let k(g) = -3177 + 181*g - 3183 + 6360. What is l(k(d))?\nAnswer: 724*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 213843*q - 427698.\nAnswer: 3*(q - 71283)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14104988 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - 36. Let s = -36 - n. Suppose 1634 = r + f, -5*f - 15 + s = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + -7 + 9 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/4*(-1)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 112 = -2*g - 14, -47 = -u - g. Suppose -32*a - 36 = -u*a. Solve a*z - 7 = -0*z + 5*i, 4*z - 3*i = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -1. Let r be 1\/((-12)\/10 + c). Let i(g) = -g**3 - 4*g**2 + 5*g + 5. Let n be i(r). Solve -1 = 2*m - 2*l + 1, -3*l - n = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/((-3256)\/48))\/((-5)\/(-55)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.30265 from -3.\nAnswer: -3.30265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 86.\nAnswer: -5, 0, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 3*w**3 - 1145. Let p(j) = j - 3. Let b be p(9). Let t(k) = -4*k + 4*k - 5*k + b*k. Give c(t(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o**5 + 16*o**4 + 16*o**3 - 28*o**2 - 10*o + 12 = 0. Calculate o.\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imf when three letters picked without replacement from {p: 1, f: 1, i: 1, o: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/3)*m\/m**(-21) assuming m is positive.\nAnswer: m**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-28 - -65)) + -16\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-4 - -1))*-1. Suppose 8 = -m*j + 20. Suppose -i = -6*i + w + 400, -4*i - j*w + 296 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1508 divide 54164344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**6\/60 - i**5\/60 + i**4\/24 + 2*i**2 + 3. Let h(t) be the second derivative of y(t). Determine h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/415 - -1247\/830. Which is the nearest to 2? (a) r (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 32 = -0*j. Let z = j - -17. Which is the biggest value? (a) -3 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4*(-339)\/18)\/((-90)\/(-36)). Let u = -30 + y. Factor u - 2\/15*t**2 - 2\/15*t + 2\/15*t**3.\nAnswer: 2*(t - 1)**2*(t + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -130.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2428300 and 1387600?\nAnswer: 9713200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84672 and 9632?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168 + 168.4. What is the second biggest value in 32, 0.5, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -0.7. What is the third biggest value in -4, 5, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 19. Let d be l(-4). Suppose 2*m - m = 0. Solve m = 5*z + 13 + d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 - -99.7. Let v = n + -104. Let w = -243 - -2671\/11. Which is the closest to v? (a) 3 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 135*t**2 + 6075*t - 91125.\nAnswer: (t - 45)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -352136 (base 8) in base 5?\nAnswer: -12314102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117*n**4 + 19*n**2*p**3 - 22915*p**3 wrt n?\nAnswer: -468*n**3 + 38*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 608013483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 103 + 31. What is the remainder when l is divided by 64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7*x - 20 + 44 = 0. Let z(n) = 0*n + n + 1 - 3*n. What is z(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*v - 48*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 8. Let l = 1 + 1. Let t be (l\/6)\/((-6)\/(-36)). Solve -t*z + 3*o = -o, 0 = -z + 3*o - n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100001000100111100 (base 2) to base 3\nAnswer: 202012102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 805713 or 805658?\nAnswer: 805713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**8\/28 + 7*g**4\/12 + 5*g**2\/2 - 7. Let z(s) be the second derivative of j(s). Find the second derivative of z(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 8*w**3\/15 - 178*w**2\/15 + 124*w\/3 - 48\/5 = 0.\nAnswer: 1\/4, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/9 + 2606618*d**2\/9 - 9557708*d\/3 - 12164320 = 0. What is d?\nAnswer: -1303320, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j. Let y be p(1). Suppose 6*l - y = 2*l. What is f in 6*f**3 + 0*f - 3*f**4 - l*f - f**4 = 0?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Let g = -383 - -385. What is the least common multiple of i and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.098041 nanoseconds?\nAnswer: 0.000000002098041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6693 - -6701. Solve 5*m - 16 = -2*g, x*m = 10*m + 4*g - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222 (base 7) to base 2.\nAnswer: -111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**4\/24 + a**3\/2 + 69*a**2. What is y(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -954.\nAnswer: -1\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1))\/(-1)*1. Let d = 19 - o. Solve -25 = -5*h + 3*a, 0*a = 4*h - 3*a - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177 + 81 + 78 - 4*g**2 to the form q*g + o*g**2 + y and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*27\/18*(-6)\/(-78)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l - 7. Let o be k(-3). Suppose -d + o = 32. Let x(n) = 15*n - 27. Let w be x(9). Calculate the highest common factor of d and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-2*(-41)\/2. Let z be n\/5 + 6\/(-15). Suppose 3*g + z = 70. What is the least common multiple of 14 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -5*p - 6, 0*p + 3*p = -2*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73923 rounded to three decimal places?\nAnswer: -0.739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/(27\/((-648)\/30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*n - 51 = 0, -4*h - 27*n + 508 = 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 20*v - 12 + 24.\nAnswer: -20*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a*m**2*r + 15*a*m**2 - 150*a*m*r**2 - 285*a*m*r - a*m - 164621*a*r**2 - 16*a*r + 2*m**2*r**2 wrt r.\nAnswer: -300*a*m - 329242*a + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*n**3 - 2*n**2 - 4630*n - 1455885 with respect to n.\nAnswer: -24*n**2 - 4*n - 4630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -73. Suppose -h*b + 68 + 112 = 0. What is the greatest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222 + 320. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 46. Let p be 22\/((-1 - 1)*-1). Put y, -5, p in descending order.\nAnswer: p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(88\/22))\/(4\/(16\/(-68)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l + 3. Let b be o(2). Suppose 260 = m - 5*m. Let s = b - m. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4825898460 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3344 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -34 (b) -1\/13 (c) 0.11 (d) -2\/9 (e) -557\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 11895704.\nAnswer: 11895704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28580000 rounded to the nearest 100000?\nAnswer: -28600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 8 - 44. Let h = -2 - p. What is the remainder when 2\/(-4) - (-186)\/4 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 1946?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 p when three letters picked without replacement from ppppspppsp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2. Let y(v) = -4*v**2 + 3. Let x(w) = -7*w**2 + 5. Let k be 4\/(-6) + 60\/9. Suppose 2*l - l + k = 0. Let t(i) = l*x(i) + 10*y(i). Give t(f(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5231 divide 1257427780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1018 + -190\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 40476?\nAnswer: -40464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:55 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Solve -f*r = -4 + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 29*a**3 - 5*a**3 + (-5 + 0 - 8)*(a**3 - 5*a**2 + 5*a**2).\nAnswer: -44*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 14*j - 8 + 21 to a*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than 0.0466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*i = -10, -12 = -2*i + 5*i. Let u = s + 3. Let o(j) be the third derivative of -j**6\/24 + j**5\/60 - j**4\/24 - j**2. Determine o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281707869\/16 - -17613578. Let c = v - 6841. What is the common denominator of c and -79\/292?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 23 - (-2 + 7) - (29 - 26)) + -28.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 104113251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -5*o - 5*f - 94, 62 = -o + f. Let u = 3 + o. Let t = u - -113. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - 2.95. Let m be ((5 - 6) + 2)*1\/2. Which is the closest to 0? (a) 1\/4 (b) l (c) m (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s + 8. Let g(v) = 4*v + 8. Give -3*g(f) + 2*i(f).\nAnswer: -2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h**2)*(4*h**3 - 8*h**3 + 7*h**3)*(0 + 0 + 2) + (-h**3 - 5*h**3 + 2*h**3)*(3*h**2 + 3*h**2 - 5*h**2) - 5*h**5 + 5*h**5 - 2*h**5.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0766 + -600638?\nAnswer: -600638.0766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2350000 to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 6. Let d be y\/10 - 63\/(-15). Let h(r) = -3*r**3 - 4*r**2 + 4*r + 4. Let t(s) = 2*s**3 + 3*s**2 - 3*s - 3. What is d*t(x) + 3*h(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(561\/154)\/(33\/77).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6077*k + 6032*k + 2762505 = 0. List the prime factors of k.\nAnswer: 3, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffk when three letters picked without replacement from {f: 4, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455091, 910287, 1365483, 1820679?\nAnswer: 2275875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 2. Let s(b) = 4*b + 14. Let x(k) = k + 4. Let j(q) = 2*s(q) - 7*x(q). What is -c(p) - 6*j(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 - 134*j**2 + 83*j + 278. Let h be c(44). Put -1, 5, h in increasing order.\nAnswer: -1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 - 17 = 2*g. Let l = g - 115. Solve 0 = -l*h + 8*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440629635 to the power of 1\/2, to the nearest integer?\nAnswer: 20991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, c: 5, m: 1}. Give prob of sequence mc.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5150 - -10478. What are the prime factors of n?\nAnswer: 2, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3173782 or 3173779?\nAnswer: 3173782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Let x = 1 + -2. Let m = x + i. Let o(g) = 2*g**2 + 5*g + 3. Determine o(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.627703 to the nearest integer.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 248363*t - 1241815. What is f(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485456*m + 485459*m + 2 - 2.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167*u*y**3 - 5724*u*y**2 - 583*y**4 - 3*y**3 - 63*y wrt y.\nAnswer: -1002*u - 13992*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*u**6 + f*u**2 - 87*f*u + 19*u**6 + u**2 wrt u.\nAnswer: -240*f*u**3 + 2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1182246 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24671?\nAnswer: 24671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6078.42 and -5.55.\nAnswer: -33735.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-3\/7)*c*c\/(c**(-2\/11)*c))\/(c\/(c*c\/(c*c**(2\/5)*c)))**(-20) assuming c is positive.\nAnswer: c**(2434\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 82164 = 2*n + 8961, -3*m + 54656 = -5*n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0192421 rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.93ng in micrograms?\nAnswer: 0.38693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 2*v + 49. Suppose 139*s - 136*s = 0. Calculate z(s).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**4 + 476988*b**2 + 20150?\nAnswer: -4*b**3 + 953976*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41462344 (base 8) to base 6\nAnswer: 512440100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-6) - (-8)\/(-12). Let n = 17.41 - 17. Let u = 0.31 - n. Which is the biggest value? (a) -2\/9 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7188?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 1 + 9*k - 5*k + 3*k + 16*k to the form w + b*k and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 6 = -5*j. Let g = j - 12. List the prime factors of g\/4*(-96)\/36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {z: 2, l: 1, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4456 and 335139659.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 q when four letters picked without replacement from ukquukkukuqkkukuuq.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 12, 16, 20, 24, 28?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + q + 8 = 4*q, -4*j + 4 = -q. Let v(o) = -6*o + 2*o + 4*o - j*o. Let y(h) be the first derivative of 2*h**2 - 2. Determine v(y(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6302 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -9) + 3666\/6. Is 617 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 3. Suppose -q*w + 140 = -w. What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 538 and (0 + 170)\/10 - -1597?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 18 = -0*z + 2*z, -2 = n - 2*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**3 - 2*r**2 + 3*r + 13. Let m(o) = o**3 - o**2 + o + 4. Let y(u) = 2*l(u) - 7*m(u). Let c = -2 + -1. Let k = 0 + c. Calculate y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -30*p**3 - 4*p**2 + 4. Let t(v) be the third derivative of 13*v**6\/2 + 7*v**5\/4 - 35*v**3\/2 - 2*v**2 - 503. What is 105*i(n) + 4*t(n)?\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 124 = 122 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -87, -129, -171, -213, -255?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229248 is divided by 691.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16420 (base 9) to base 15\nAnswer: 351c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 2 - 0\/(-2). Let s(n) be the third derivative of n**4\/8 + n**2. Let a(m) be the third derivative of m**4\/24 + m**2. Calculate h*s(t) + 17*a(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:02 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {z: 1, e: 2, y: 1, t: 3, b: 7}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 + 113*r**3 - 247*r.\nAnswer: 12*r**2 + 678*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844294689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138737117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*b - 2 + (5 + 2 - 6)*(-2*b + 6*b - 2*b) + 0*b - 3 + 3*b + 0*b in the form s*b + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 124*z - 14. Let p(r) = r**2 + 87*r + 13. Let t(a) = -2*f(a) - 3*p(a). Determine t(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6\/360 - b**5\/120 + 3*b**4\/8 - 2*b**3\/3 + 2. Let l(q) be the third derivative of o(q). Is l(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*h = 3*p + 34, -p - 2*h - 2 = 0. Let i be (p\/(-12))\/(((-5)\/(-6))\/5). Solve -i*k - 4 = l - 5, -4*l + 18 = -2*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 24*v - 27. Let y(u) be the second derivative of -u**4\/4 - 25*u**3\/6 + 14*u**2 - 4*u + 3. Let i(g) = 4*o(g) + 3*y(g). Factor i(c).\nAnswer: 3*(c - 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-67 - -1 - ((-18 - (10 - 11)) + 7))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13757045 is divided by 2159.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 + 1.16. Is -0.1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12761 + 12759. Which is the fifth biggest value? (a) 5\/2 (b) 2\/9 (c) -1\/7 (d) r (e) 87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/12 and -97\/444516.\nAnswer: 444516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 1. Let s(x) = -19*x**2 + 179*x - 1. Determine s(r(z)).\nAnswer: -304*z**2 + 868*z - 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 197*m**2\/2 - 12*m + 6. Is k(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + w**2 + 8. Let h be x(0). What is the tens digit of 85 - (-3 + 0 + h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5054 (base 10) to base 15\nAnswer: -176e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3751, 3171, 2131, 631, -1329, -3749?\nAnswer: -6629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (2 - 2)\/(-1). Suppose 0 = -q*g - l + 110, -2*g + 0*g + 44 = -l. Let d = 46 + g. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/17 (c) -1\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15643229293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 857\/(-3428) - 234\/4*(-1)\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10640 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 663 = -567 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**10)*t*t**(2\/13) assuming t is positive.\nAnswer: t**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 4*z + 5*i, -119 = 5*z - i + 5. Calculate the remainder when 26 is divided by 92\/10 - (-5)\/z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5757240 (base 9) in base 4?\nAnswer: -23312330232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -2, -3, -1110, 0 in descending order.\nAnswer: 97, 0, -2, -3, -1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12906 = -2*a + a, 6 = 3*c. Let v = 18065 - a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-5))\/(-1)*(-5)\/2. Suppose -h*p + 521 = -851. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814154777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1518462*p**3*x + 43*p**3 + 2*p*x + 3*p - 916907*x - 1 wrt p.\nAnswer: 9110772*p*x + 258*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 505 + 3442. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 159, 355, 629, 981?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638 divided by 273?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -256*g**7\/7 - 256*g**4\/3 - 2*g + 250. What is the third derivative of a(z) wrt z?\nAnswer: -92160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 308 = -4*f - 45*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1249528076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*n + 1384*n**4 - 92*n + 188*n)*(-4 + 9 + 3).\nAnswer: 11072*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-428)\/(-5) - (-15)\/((-150)\/(-4)). Is g not equal to 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*c + 48. Let a = 24 + c. Let y be a\/10 - (-2404)\/20. Calculate the greatest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -42. Let h be (-59)\/(-3) + ((-5)\/15)\/o. Solve 4*n = -0*n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/187 (b) -138 (c) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5129 + 5134. Solve t*m = 3*n + 30, 2 = -m + 4*n - 5*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 3173 = -3096 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -14*h - 66. Suppose 3*i - 4*i + 5 = 0. Suppose -2*k + 39 = 3*k - 4*o, o = 5*k - 36. Solve k + i = h*y - 4*p, -5*y - p = 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + g + 1. Let l(p) = -34*p**2 + 6*p + 1. Determine l(d) - 2*y(d).\nAnswer: -28*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3134 is divided by 70.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1200112l to millilitres.\nAnswer: 120.0112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2\/11 - 16366*z\/11 - 1488 = 0.\nAnswer: -1, 8184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7 - 4*s - 7. Let d(n) = n. Determine d(i(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9939)\/(-2)*(-1 + (-11)\/(-15)). Let h = -1320 - y. Are 5 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3 + 1\/3. Which is smaller: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 7:02 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 129*a**2. Let t(m) be the first derivative of 0*m - 62 - 1\/2*m**2. Calculate h(t(l)).\nAnswer: 129*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 8\/7, -3.\nAnswer: -3, 0.09, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5511286 minus -861921?\nAnswer: 861921.5511286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 9*f)*(f**4 - f**4 + f**4).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s + 2262*s**3 + 2521*s**3 - 260*s**3 + 88*s**2 wrt s.\nAnswer: 27138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*w + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1920 divided by -96.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255 + -243. What is the common denominator of 68\/b + (-90)\/(-9) and 1 + 1 - 123\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214763.\nAnswer: 3, 11, 131, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 - m**2)*(-5 + 5 - m)*((2*m - 2*m + m)*(0 + 4 - 6) + (2*m - 3*m + 3*m)*(2 - 3 - 1)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10405337 is divided by 289037.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(448140\/224071 - 2). Let r = 500052 - 914123. Let t = r - y. What is t rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 less than -2?\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**2 + 74*c + 24. Let j(b) = -5*b**2 - 26*b - 8. Let f(d) = -8*j(d) - 3*n(d). Determine f(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:08 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 29.3, 40, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4*(-7980)\/210)\/((-5)\/(-10))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1135*u - 2237*u + 1129*u - 20655 = 0. Calculate the lowest common multiple of 1785 and u.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2\/7 - 117609*c\/7 - 117630 = 0.\nAnswer: -7, 39210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (147\/(-27) - -5)*9\/(-2). Let p be 10\/(-35) + 624\/(-21) + y. Let h = p - -31. Solve -5*w - 6 = 2*k, w + 12 = 2*k + h*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/3*(-129)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*j = -2, 2*j = 20*x - 18*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbh when three letters picked without replacement from {b: 5, h: 4, l: 10}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 2 + 1)*(3*n + 2*n - 3*n) + 2 - 2 - 3*n)*(-1 - 4*n + 1) to the form u*n**2 + m*n + k and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 8*f + 11. Suppose 2*d - 7 = -z, 3*d + z - 15 = -2*z. Let j(m) = 4 - 2*m - 2*m**d + 5*m + 3*m**2. Calculate -8*j(c) + 3*l(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6*i = -3. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222880?\nAnswer: 2, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67\/300 - -2\/75. What is the closest to -1 in u, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4. Let d = 42 + -42. Let u be f(d). Let h be -4*((-7)\/((-42)\/u) - -1). What is the second biggest value in h, -2\/5, 0.1, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(7) + sqrt(49)\/sqrt(112) + sqrt(567) + -1 + -1).\nAnswer: -205*sqrt(7)\/4 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86231 and 5.\nAnswer: -431155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*0.2847\nAnswer: 0.017082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 10*p - 14. Let l be b(8). Suppose l*c - 5*v = -6225, -2*v - 961 = c + 2129. What is c rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1808, -3707, -5606, -7505, -9404, -11303?\nAnswer: -13202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 188*i**2 - i. Let v(l) be the second derivative of 7*l**4\/12 + 4*l - 164. Determine g(v(s)).\nAnswer: 9212*s**4 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2. Let u = 10 - 8. Let z(v) = 1 - 1 - v**u. Give z(a(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*n + 261923, 5*n - 166783 = 2*k + 95160. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 644*i**2 + 1913*i + 424. Calculate v(319).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11036 divided by -2.\nAnswer: -5518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, -363, -5 in decreasing order.\nAnswer: 2, 1, -4, -5, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**2 + 6*w - 1. Calculate the remainder when t(8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 6*y**2 - 2*y + 6. Let x be j(6). Let l = x + 8. Suppose -13 + 43 = l*u. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 2\/(-8)*-6*-4. Suppose a - 2*m + 24 = 0, 3*a + 51 = a + 5*m. Let s be a\/(-8)*(-80)\/(-15). Solve 0 = 4*g - 3*z - s, -g - 7 = i*z + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 3229158*i + 9687456.\nAnswer: 2*(i + 3)*(i + 1614576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 2, o: 3, e: 1}. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-3)*((-84)\/(-126))\/((-8)\/6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -40*w + 115. Let l(v) = 42*v - 127. Let y(q) = 6*d(q) + 5*l(q). What is y(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1278036)\/(-126) + 3\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-20))\/(((-910)\/(-25))\/(-7))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose 15 = -t*d + 5*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*z - 25415 = 453*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*640.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20435546809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, c: 4}. Give prob of picking 2 f.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 641*q - 34 + 11010*q.\nAnswer: 10369*q - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -816?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {q: 1, b: 1, k: 1, c: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 231\/((-4)\/((-60)\/5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 29*a + 28040. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x + 49*x + 66*x)*(-1 - 1 + 0) + 2 + 2*x - 2 - x + 4*x - 2*x + (-2 + x + 2)*(-3 - 1 + 6).\nAnswer: -253*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*1*(-6)\/(-12). Suppose -15 = -5*x - 4*j, 3*x + j + 8 = 2*j. Sort t, 27, x in decreasing order.\nAnswer: 27, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**2 - 3*s**2 + 47*s**2.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 21*v**2 - 69*v. Let x(a) = -3*a**2 + 10*a. Calculate 4*b(f) + 27*x(f).\nAnswer: 3*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r**2 + 3*r + (r + 0*r - 3*r)*(5*r - r - 3*r) - 2*r**2 - 4*r**2 + 5*r**2)*(3 + 0 - 4).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/231)\/(2\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 3, 7093\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4, 6, 0.5, 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6) - (-1)\/(-3))*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9721168 nanoseconds to minutes.\nAnswer: 0.00000000004953528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = -2*r + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2389a - 4?\nAnswer: 23896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41367.68 centimeters in meters?\nAnswer: 413.6768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 290665 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 1, a: 1}. What is prob of sequence ax?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12972, -25954, -38934, -51912, -64888?\nAnswer: -77862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j\/(j\/((j\/(j*(j\/(j**(-5)*j*j))\/j*j))\/j)))\/j)\/j*j)\/j)**44*(j**(-5))**36)**(2\/27) assuming j is positive.\nAnswer: j**(-296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -36*p**3 - 8*p**2 - 72*p - 2. Let b(h) = -4*h**3 + 3*h**2 - h + 1. Determine 2*b(o) + r(o).\nAnswer: -44*o**3 - 2*o**2 - 74*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13824169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (346 + 5*j - 342 + 2*j)*(-5 + 2 + 4) + (-j - j + 0*j)*(3 - 1 + 0) - 1 + 1 + 2*j.\nAnswer: 5*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/2 in 2\/47, -3\/4, 0.166, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*p = -120*p. Solve 5*b - 4*b + y = -2, 3*y - 3 = p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - f = 4 + 9, 1063*r + 3*f = 1065*r + 9 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52964)\/(-6) - (-10)\/15. Let l = j + 4000. Let u = -256649\/20 + l. What is the common denominator of u and -19\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/180 + 4*p**5\/15 + 5*p**4\/4 - 5*p**3\/6 - 5*p**2\/2 - 10*p - 3. Let o(z) be the second derivative of a(z). Factor o(g).\nAnswer: 2*(g + 1)*(g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*b*i**2 + 52685*b + 1572*i**2 + 2616*i wrt b?\nAnswer: 43*i**2 + 52685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981 is divided by 172?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1962720, 3925413, 5888108, 7850805, 9813504, 11776205?\n\"Answer: u**2 + 1962690*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (22 + 0 + (2 - -19 - 31))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 407 and 2104637293.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2404 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -0.06, -87, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 0*b + 3*b)*(-3 - 2 + 3 + 9 + 9 - 27 + (2 + 4 - 3)*(0 - 2 + 0) - 3 + 2 + 3) to o*b + t and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10032*t + 2614*t - 361114 = 1694*t + 274102 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = 0, u = 2*w + 268 + 188. Let r = w + 499. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9989 is divided by 2497.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1261, -5015, -11271, -20029?\n\"Answer: -1251*j**2 - j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 6*o - 4. Let i be d(4). Let k = -78 + i. Solve n - 3*n = 3*y + 23, -4*n - k = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*k - 60 - 30 = 0, -3*s + 3*k = -108. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/5 + 1065416*a**3\/5 - 4261632*a**2\/5 = 0 for a.\nAnswer: 0, 4, 532704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1721983*-0.6\nAnswer: 1033189.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + n**2 - 1. Let l be o(1). Let i(d) = -2*d**3 - d**2 + 1 + 4*d**2 + d**3. Let k be i(3). Solve -3*p - l = -k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 42*a - 39*a = 448 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 10.08\nAnswer: 10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111 - -10101101010010110?\nAnswer: 10101100110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66288558\/31 or -2138341?\nAnswer: -66288558\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1782)\/792*(-8)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13081*x**2 - 15591 wrt x?\nAnswer: 26162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 + 43.3. Let g = 67.304 - 18.276. Let u = k - g. What is u rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:06 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 13*g**2\/2 - 150*g - 2825. Determine r(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 - 8722*x**4 + 9530942*x**3 - 47497830*x**2 + 66437712*x - 28462104 = 0.\nAnswer: 1, 3, 2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24929 and 5?\nAnswer: -1.24645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2. Let f be 5 - (1 - (1 - 0)). Let t(a) = a - f*a + a + a. Give p(t(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.44 + -0.48. Let h = -4.96 + o. What is the second biggest value in 8, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + ((-1825)\/2190 - 1043\/30))\/((-4)\/10).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*g + g. Let i = g + -48. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 9, d: 2, w: 1, h: 1}. What is prob of sequence hr?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*7*-56*(-60)\/(-2940).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -1. Let l(a) = 0*a**3 + 6*a**2 - 2 + 5*a**3 + a - 2*a**3 - 2*a**3. Give l(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19\/5 (b) -1\/2 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (301\/(-70) - -4) + (-246765)\/(-50).\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26167646174 + -412.\nAnswer: -26167646586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -31. Suppose -34 - 10 = -4*q. What is the smallest common multiple of m\/(-11) + (-24)\/(-132) + 3 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:03 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*y - 62. Suppose 0 = s - 0 - 3. Suppose 0*c = s*c - y. Calculate the remainder when 40 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-424)\/(-4160) + 20\/(-25) + 94\/130?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 13. Let t be p(9). Suppose -t*s = 8 + 2. Let a be 0 - 1199 - (s - -3). Round a to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 254 in 1, 0, -9, 20, -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 317032 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74010 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33*8*(-21)\/(-462)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -19. Suppose w - l*y - 18 = -48, 0 = -w + y - 30. Let d be (w\/20)\/(2\/(-4)). Let z(o) = -4*o + 4. What is z(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 33, -0.17, 27, -0.4 in ascending order.\nAnswer: -2\/3, -0.4, -0.17, 27, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180972 and 45243.\nAnswer: 180972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20)*-1*-8*(-22)\/(-8)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 - 11. Let r(d) = 2*d**3 + 136*d + 4*d**2 + 2 - d**3 - b*d. Let f be r(-2). Let u(x) = 12*x - 3. Determine u(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n - 2*m = 66*n - 11, -4 = 2*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - c + 51 = 17*c. Suppose -5 = -3*m - 2*z, -2*m + 16 = -5*z - 0*z. Factor 5*d**3 + d**2 - 5*d**2 - 3*d**4 + 0*d**m + c*d**3.\nAnswer: -d**2*(d - 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/90)\/((-7)\/(-5))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + -93 - (35 - (-7 - -21))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13406974 plus 148?\nAnswer: 13407122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 8. Let i be 28\/r - (-4)\/20. Let w(a) = a**2 + a. Let b be w(1). Solve -b*g = i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54a477 (base 13) to base 8.\nAnswer: 7465355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(325)*-3 + sqrt(117) + (sqrt(117) - (sqrt(117) + -2 + 0))**2.\nAnswer: 4 + 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*l + 29, -4*l + 32 = 2*m + 2*m. Suppose 4*u + 2*p + 44 = 0, -3*u - 3*p = -2*p + 34. What is the remainder when l is divided by -1*(u + 1 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -3 (c) -13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 142988*h - 142988*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 13*y**2 - 23*y + 16. Let s be z(11). Suppose s*u = -2 + 12. Sort 5, -5, u in ascending order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -476640.2995.\nAnswer: -476640.3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-40))\/((-1)\/(-4)))\/(77\/(-2310)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1 - -9) + -2. Suppose h - 15 = n*h. Let z be h\/((-17)\/2 + 1). What is the third smallest value in 5, z, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/26 and -13\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.9? (a) -1\/3 (b) 3 (c) -1\/4 (d) -1\/7 (e) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/11))\/l**1*(l*l\/l**(-1)*l*l)**(-33)*l**(-4)\/(((l\/l**8)\/l)\/l*l)*(l**(-2)\/l)**(1\/7) assuming l is positive.\nAnswer: l**(-12444\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-800)*-8)\/((-5)\/(-100)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s**2 - 34078794 + 34078794 + 31*s**2 + 39*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5940 by 495.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/64861 and 880 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145082 is divided by 5802?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -23*v + 21. Let l(f) = -20*f + 22. Let j(y) = 5*d(y) - 6*l(y). What is j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5655926 = f + 256*f - 7877951. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 34 = 10. Let u = -4 - k. Suppose u*d + 3*d - 370 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 97\/4 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + d - 5*d = -45, 2*h - 51 = 5*d. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1485?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -6)*(1 + -2). Let u = h - 7. Let r be (-3 + u)\/(-6)*2. Put 5, -4, r in descending order.\nAnswer: 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -4 - -15 - -16) + (-4 - 0) + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -131353\/2?\nAnswer: -131353\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r + 7294 = 55*r + 5*p, -6 = 3*p. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t**4 + 131*t**3 - 102*t**2 - 3176*t - 896 = 0. Calculate t.\nAnswer: -4, -2\/7, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741234 is divided by 367039?\nAnswer: 7156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 0.3 (c) -7.4 (d) 4 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwuuuuwuuu. Give prob of sequence uuu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/10)\/(3\/6). Which is the second smallest value? (a) -1 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 57, 132, 237?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w - 42*w - 35*w + 0*w to the form v*w + u and give v.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (34 - 32) - -184) + -17?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/32455 and -51\/25?\nAnswer: 162275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12 - h**2 + 6 + 2*h - 18. Give f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 15. Let f = q + 14. Solve -f*o - 6 - 6 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 59, 109, -3, -4, 1 in decreasing order.\nAnswer: 109, 59, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -710042246?\nAnswer: -710042246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2\/(-44)*(-2 - -4). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1033222 = 15*d - 920423. Suppose -4*n + 130225 = -j, -10*n - 5*j = -6*n - d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/14 - 0) + (-432)\/(-126)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**3 + 2*a**2 - 14*a - 16. Let u(l) = 3*l**3 + l**2 - 5*l - 5. Let i(g) = 4*s(g) - 11*u(g). Is i(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k - 29*k - k - 27*k.\nAnswer: -88*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/9 - 4*q**3\/9 + 70*q**2\/9.\nAnswer: -2*q**2*(q - 5)*(q + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:08 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j. Let w(c) = -2*c**2 - 329*c. Give k(w(b)).\nAnswer: 8*b**2 + 1316*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1639 + -1450. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 106 = -7*p, -63*t = -65*t + 5*p - 86 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:01 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-58)\/44 + (-8)\/44*1. Which is the closest to s? (a) 0.2 (b) 2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17622557 and 8721?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 1, u: 5, x: 1, r: 1, t: 3}. Give prob of sequence ttr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 498.2 + -498. What is the third biggest value in 9\/2, -2\/23, -4, u?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j + 10. Let d(q) = 3*q**2 - 2*q - 2. Let c be d(2). Let p be (-2 - -2)\/((-32)\/8). Sort j, p, c.\nAnswer: j, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7. Let o = 6 + z. Suppose -o*v + 8 = -5*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4986426, 4986430, 4986434?\nAnswer: 4986438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 1. Let c(h) = 12*h**2 - 6*h + 2. What is -c(f) - 4*w(f)?\nAnswer: -4*f**2 + 6*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 401431414?\nAnswer: 401431423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**5\/20 + 11*i**4\/12 - i**3\/3 - i**2 + 6*i. Let j be m(-11). Suppose 0*h = 4*h - 20. Solve 3*r = -h + j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 388. Let w = 97 + r. Suppose -s + 10 + 13 = w. Sort 4, 3, s in ascending order.\nAnswer: 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = p + 23, -3*q = -2*q + p + 5. Let c be (-3 - -9)*(-15)\/q. Suppose 34 = 2*j + c. Calculate the remainder when 35 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1218343 or 1218346?\nAnswer: 1218343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -1 - (0 - 10). Suppose -3*h - 2*h = -10. What is the greatest common factor of h and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (2 - 6) + 428 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148076994 is divided by 360.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1031561 + 4?\nAnswer: -1031558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 682722353 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6917 (base 14) to base 12\nAnswer: a689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let d(s) = -s**2 - 7*s + 82. Let q be d(-13). Suppose -4*u + 9*z = q*z - 27, -5 = -z. Solve 8 = -a - 0*a - o*i, 0 = -3*a + 2*i - u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 - -36. Let t = 83 + s. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let b(l) be the third derivative of -9*l**2 + 0*l**4 + 0*l + 0 + 1\/15*l**5 + 0*l**3. Determine b(s(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338188616?\nAnswer: 2, 17, 2486681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6698.\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001100 (base 2) to base 5.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 86 + 79 - 165. Let c(r) = 68*r**2. What is c(a(s))?\nAnswer: 68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 2*q**2 + q**3 + 2*q**5 - q**5 + 66*q**5 - 31*q**5 + 61*q**5 + (q**3 + 7*q**3 - 4*q**3)*(3*q**2 + 0*q**2 - q**2) - 1 + 1 - q**5.\nAnswer: 104*q**5 + q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 + 2*s + 10. What is the units digit of l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/9914602 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 797.6589 millilitres?\nAnswer: 0.7976589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190319853 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x = 50*x - 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 9*j - 3*j**2 - 2 - 9 - 73*j**3. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/12*2*4. Let q be -2 + (-11)\/(-9) + 1. Let z = 157\/1045 - -3\/95. What is the nearest to z in q, o, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18081 times 0.2\nAnswer: 3616.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(99)\/(sqrt(63)\/sqrt(7)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388 + 2187 = 87*r - 5248 + 863 for r.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -84. Let r = u + 875\/16. What is the common denominator of r and 57\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) 37 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-47)\/43 - -1)\/(-34). Let b = c - -38733\/3655. What is the common denominator of -45\/4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/18)\/(5\/(-5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 + 96*l - 1717. What is the thousands digit of j(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.2 - 13. Let n = m + 5.2. Let z = 6.4000305 - n. Round z to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -33*a**3 + 2*a**2 - 18*a + 28. Let x be h(-5). What is the greatest common factor of 324 and x?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497, 1005, 1513?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(304))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.6 (b) 0.16 (c) 39.7 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(-28))**(2\/9) assuming q is positive.\nAnswer: q**(-56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/51 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24476383\/77 + -317883. Let h = d + 90\/11. Sort 3\/2, -0.02, h, -2 in increasing order.\nAnswer: -2, -0.02, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915 times -0.011?\nAnswer: -32.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.54, -3, 0.4, -2\/7 in decreasing order.\nAnswer: 0.54, 0.4, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**2 - 4*w + 13. Let o be m(-5). Let k = o + -151. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 13*b**2 + 8*b - 17. What is the tens digit of d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-15867910.\nAnswer: 7933955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184956*f**3 - f**2 - 3730*f wrt f?\nAnswer: -1109736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 25763847*t + 221258604079803\/2.\nAnswer: 3*(t - 8587949)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**3 - 3*s**2 + s + 1. Let d be i(2). Suppose -2*f = -d - 67. Suppose 3*p = -2*p + f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*m + 2*m - 3, 0 = m - 3. Let q(s) = s**2 - 7. Let x be q(p). Solve x = g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-66)\/9*3. Let r be n\/20 - (-2)\/(-5). Let g = 12 + r. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666755900 to the power of 1\/3, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -20?\nAnswer: 31\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-152 + (4 - 5))\/(3\/(-2)) and 8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20959 - -20959.68346. Round l to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = 2*q. Let b = 2 - q. Suppose 0 = 2*l - 3*l - b. Is -2 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - (-12 - -6)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 - 8 - ((-12 - -21) + -12 + -16)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*x**2 - 15800*a**2*x**2 - 93*x**2 + 79 with respect to a.\nAnswer: -3*a**2*x**2 - 31600*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111*k**2 + 353*k**2 + 631*k**2)*(0 - 2*k + 0) as y + r*k**3 + m*k**2 + d*k and give r.\nAnswer: -1746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o*(o\/((o\/(o**5\/o)*o)\/o)*o)\/o)))\/(o**(-4)\/o))**(-6\/23))**18 assuming o is positive.\nAnswer: o**(-1080\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -784, 3, -3, -2, 0, 1 in decreasing order.\nAnswer: 3, 1, 0, -2, -3, -784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 69*z - 1022. Calculate x(-27).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -315\/8, 2\/21, -137, 5?\nAnswer: -315\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(-4*sqrt(605)))\/(sqrt(132)\/(sqrt(60)\/sqrt(5)) + (-2*sqrt(88) - sqrt(88))\/sqrt(8)).\nAnswer: sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 9, -0.4, -44 in descending order.\nAnswer: 9, 5, -0.4, -11, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2964 and 1404.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -73 + 39 + 70?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 38\/6)*3. Let d = -1 - b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*q**4\/2 - 7448301*q**3\/2 - 237184680*q**2 + 105967134*q - 11794560 = 0. What is q?\nAnswer: -64, 2\/9, 30715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6985.9759*4\nAnswer: -27943.9036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*m)*(-2*m - 2*m + 2*m)*(0 + 0 + 8) + m**2 - m**2 - m**2 as b + g*m + w*m**2 and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11971*m*y**3*z - 359*m*y**3 - m*y - 1099*m - 2*y**2*z + 3*y**2 - 4*y*z - 2 wrt y.\nAnswer: 71826*m*z - 2154*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17441, 34886, 52331, 69776?\nAnswer: 87221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38749 - -54922. Suppose y = -2*n + 5773. What is n rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*f - 2*i - 8, -5*i - 20 = -5*f. Let j = 22 - 25. Which is the second biggest value? (a) 2\/15 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**28))\/(r*(r**(-2\/31)\/r)\/r)*r**(1\/3)*r*r\/r**(-30))**(-16\/5) assuming r is positive.\nAnswer: r**(-6544\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9258 + -9237. Which is the closest to 1? (a) t (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520656 (base 8) in base 11?\nAnswer: -108634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*a - 2 - 33*a + 2 + 69*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 + -128. Suppose -o + 5*t**2 + 18*t + 60*t + 59*t**2 + 18*t**2 = 0. Calculate t.\nAnswer: -1, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*n**3 + 229*n + 10*n + 34*n**3 + 2 - 2*n**4 - 53*n**3 to the form m*n**2 + c*n**4 + f*n**3 + k*n + s and give k.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46715105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 152*o**2 + 1196*o + 1352.\nAnswer: 4*(o - 26)*(o - 13)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 3760.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 + (-83 - -7))*2285\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78876290219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 2*y)*(248*y**4 + 15409*y**3 - 15409*y**3) + (0*y**3 + y**4 + 0*y**3)*(-2*y + 2*y + 2*y) + 3*y - 3*y + y**5 + y**5 + 0*y**5 + y**5.\nAnswer: -243*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100500.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 101001000011?\nAnswer: 101001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 119db2?\nAnswer: 119db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 111, 255, 457, 717?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrhrrhrrrh. Give prob of picking 2 r.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 18 + 0*s**5 - 5\/2*s**2 + 0*s**4 + 0*s**3 + 0*s - 5\/6*s**6. What is the second derivative of j(v) wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -45*t**3 + 3*t**2 + 2*t. Give z(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9052 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p**2)*((-2 + 2 + p)*(-4 + 1 + 4) - 1 - 17*p + 43*p + 16*p).\nAnswer: 43*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 4. Let r be t(-4). Suppose 0 = 3*o - r + 3. Let l be (4 - 5) + o + -1. What is the nearest to 0.1 in 0, l, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1120 and -1274470\/1139 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x. Let p(y) be the second derivative of -2*y**3\/3 + 52*y. Give p(u(r)).\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r**3 + 28*r**2 - 50*r + 17. What is u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-2))\/(((-204)\/(-9))\/34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 165816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 3)*(-5*t**2 + 5*t**2 + t**3) - 6*t**3 - 2*t**3 - t**3.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 13}. Give prob of picking 2 a.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = -1. Calculate the remainder when 20 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93507 + 11 + (-12 - (1 + -6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.32 + 14.\nAnswer: 15.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14258?\nAnswer: 2, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 126 = n - 2*v, -4*v = 3*n - 111. Calculate the greatest common divisor of 44 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 19 + 9*g + 19.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 + -2 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 - (-6 + 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610.83 decades in centuries?\nAnswer: 261.083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -72913.762 to the nearest ten.\nAnswer: -72910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**2 - 29*r - 3. Let x be l(3). Solve 5*t - x = -29 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 4) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(66)*2)\/(sqrt(6) + (sqrt(6) - sqrt(24)*-5) + sqrt(6)))**2.\nAnswer: 704\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1, 3\/7, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 992337 and 9.\nAnswer: 2977011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4240 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/3 + 15952*u**3\/3 - 539914*u**2\/3 - 1127692*u\/3 - 190608 = 0.\nAnswer: -1, 36, 7942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 9, 4, -868\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198315, 198305, 198289, 198267, 198239?\nAnswer: 198205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64280, 514364, 1736012, 4115006, 8037128, 13888160?\nAnswer: 22053884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19909404.\nAnswer: 2, 3, 37, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206 - -615. List the prime factors of v.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/6*(-26)\/26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231097 is divided by 38513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601660 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*i - 5*g, 0 = -75*i + 77*i + 4*g - 32 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3 (c) -0.2 (d) -1\/2 (e) 125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/30 + (-5 - 64\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-45))\/(1\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496766 and 6258.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 + 470 + -166 + (-30 - 2).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1008) + -1 - sqrt(1008) - sqrt(1008)) + sqrt(1008))*-4 + (sqrt(343) + (sqrt(343) - -1*sqrt(343)) - sqrt(42)\/sqrt(150)))**2.\nAnswer: 1664*sqrt(7)\/5 + 77312\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.88.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-51)\/(-17))\/((-3)\/(-4)). Suppose -d*v + 2*b = -2212, -4*b = -0*b - 16. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-221)\/34*50\/(-65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.06 - -13. Let m = 4.06 + r. What is the nearest to 8 in 0, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 15*u + 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8342.913 - -46.033. Let k = n - -8296.57999922. Let a = -0.3 - k. Round a to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2103672 or 2103662?\nAnswer: 2103672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 33*q - 28. Calculate the least common multiple of 6 and a(-28).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/6 - 2212*l**2\/3 - 8842*l\/3 - 8840\/3.\nAnswer: -(l + 2)**2*(l + 4420)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 6 + 37164*s - 4 - 3 - 17.\nAnswer: 37164*s - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, w: 3, i: 2, j: 3}. What is prob of picking 1 i and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4181*z**2 - 92014*z + 702. Determine q(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 16*u. Let t(q) = -124123*q. What is i(t(l))?\nAnswer: -30813038258*l**2 + 1985968*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 208 - 106 - 21*k + 73 to o*k + z and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 839*i**2 - 43*i + 333. What is the tens digit of a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 4*n - 3. Let t be 9 + 2 + 0 + 0. Suppose 5*i = -31 + t. Does 13 divide b(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, 16, 139, 386, 799, 1420, 2291, 3454?\n\"Answer: 7*b**3 - b**2 - 5*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1446 + -1445. Which is the nearest to q? (a) 0.4 (b) -0.03 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2793*f + 25134. Calculate m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/20 - 5*s**4\/6 + 3*s**3\/2 + 13*s**2\/2 - s. Let m be c(9). What is the greatest common divisor of 143 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**4*f)\/f*f**(2\/25))\/((f**(2\/23)*f)\/f**(-2)))**(-2\/5))**(3\/10) assuming f is positive.\nAnswer: f**(-3438\/14375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*w + 5*r, -6*w + r + 2 = -w. Let l = -3 + 8. Let h(z) = -l*z + 6*z + w + 0. Calculate h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263 + -6322.894\nAnswer: -6059.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 24*v**2 + 47*v - 71. What is i(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 363312357 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m + 2. Let i(t) = -27*t**3 + 28*t**3 + 3*t**2 + 5*t - t + t + 5. Let x = -5 - -5. Suppose -3*h - 3 - 3 = x. Determine h*i(v) + 5*u(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 - 4*q**3\/3 + 3*q**2\/2 + 9*q. Let y be m(6). What is the second smallest value in 0.1, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 978733820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 25081827?\nAnswer: 4\/25081827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -1\/12*h**4 + 0*h**3 - 2*h + 3\/56*h**8 + 0*h**7 + 0*h**6 + 0*h**5 + 0 + 0*h**2. What is the third derivative of n(g) wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.23 + 0.2. Let o = b - 0.55. Which is smaller: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -273\/16057 in 4, 2, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 2 - 2)*(-277 + 196 - 346)*(1 + 2 - 5 + (1 - 1 - 1)*(0 + 1 - 3) - 3 + 4 + 0).\nAnswer: 1281*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(171*u + 20*u - 17*u) + (0 + 1 - 2)*(-1 + 1 + u) + (0*u + 2*u - 3*u)*(-1 + 3 + 0).\nAnswer: 171*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(2 + sqrt(98)).\nAnswer: 9 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3 - 9*h + 8*h**2 + 7*h + 2*h + 36*h**2. Let d(g) = -2*g. What is f(d(u))?\nAnswer: 176*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -349 - -224. Let k = 138 + i. Calculate the greatest common divisor of 559 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/((-94185)\/(-52)))\/(4\/(-18)).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, l: 1, j: 2, g: 2, y: 3, w: 3}. What is prob of sequence wjgg?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.116187659 to 5 dps.\nAnswer: 0.11619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 3:59 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 5)\/(3\/2). Suppose 5*a = -0*q - 3*q, p*a + 11 = q. Suppose k - 5*k + 29 = -q*m, 3*k - m = 8. Is k at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(168) + 6*-1*sqrt(168) + sqrt(168))\/(6*sqrt(96) - sqrt(6))*-2.\nAnswer: -192*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46944 divided by 10.\nAnswer: -23472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w**2 - 7. Let u(y) = 23*y**2 - 14. Let l(m) = -5*j(m) + 3*u(m). Find the first derivative of l(a) wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3313525*f**3 - 1574166*f**2.\nAnswer: 19881150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9222525 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: Let x = 6 + 7. Suppose -x*n + 16*n = 0. Suppose -k + 12 + 48 = n. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.3 (c) -0.098 (d) 0.067 (e) 2 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*x + 2*x - 12*x + (x + 4 - 4)*(2 - 3 + 2) + 3 + 2*x - 3)*(0*x**3 + 4*x**3 - 2*x**3).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212424 is divided by 127?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*6*(-3)\/(-27).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, -611, -12, 1 in ascending order.\nAnswer: -611, -12, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 + 4530*z**3 + 50122*z**2 - 113826*z + 59176 = 0. Calculate z.\nAnswer: -13, 1, 2276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 2234166\nAnswer: -1\/203106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 20*k + 3970. What is the least common multiple of 2618 and u(-105)?\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obbb when four letters picked without replacement from oooobbobooooooo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57.08702 + -0.09702. Let q = x - -1.01. Let n = 57.976 - q. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 8*z**2 + 2*z - 5. Let i = -90 + 83. Let g be o(i). What are the prime factors of g\/(((-12)\/(-16))\/((-3)\/2))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*r - 0*r - 5*o, 3*r - o - 35 = 0. Suppose -3 = q, -3*q = n + q + r. Suppose -5*s + 25 = -2*f, -2*f - n = -2*s - 3*f. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**6)\/j**(-19))**37 assuming j is positive.\nAnswer: j**518","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/15, -0.08, -3.8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 23 + 9. Let k(f) = -2*f**3 - 3*f**2 + 3. Let v = 7 + -10. Let r(d) = -5*d**3 - 7*d**2 + 7. Give o*k(m) + v*r(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c**3 - 9*c**2 + 7*c**2 + c + 4*c**3 as v*c**2 + g*c + h*c**3 + a and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.1174164 weeks?\nAnswer: 1183.557312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 39*j - 130. What is t(42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from uuxuuxxxxjxxudmmp?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/13 and 41\/871.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010 (base 2) to base 11.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/6*8\/144?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/12*(3 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75481729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22740?\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4818*y - 187728. Determine f(-39).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69804682247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/40 and -129\/260.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17.25*2\nAnswer: -34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42761317?\nAnswer: 42761317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*m - 4*m. Suppose -4 = -3*z - 2*s + m*s, -5*z - 3*s = -30. Suppose 11 = -z*n + 17. Solve -3*q - n = -14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2*2 + (sqrt(26)\/(sqrt(10)\/sqrt(5)) - sqrt(13))**2.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -34*v + 4. Is 9 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - 8. Let s(q) = -q**2 - 15*q - 23. Let d be s(-2). Let o(x) = -x**2 - 3. Let h(r) = d*g(r) - 8*o(r). Let z(t) = -27*t**2 - 2. Give z(h(p)).\nAnswer: -27*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 5 (c) 275 (d) 4 (e) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkk when three letters picked without replacement from krqkuqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -44 + -8 + -22\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1*5\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16874081*f*x**2 - 37635*x**2 + 59*x wrt f?\nAnswer: -16874081*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - w + 1. Let b(u) = -7*u**2 - 37*u - 2. Give -b(p) - 2*v(p).\nAnswer: 11*p**2 + 39*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 65?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2120?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*t**(1\/5)*t)*t)))\/(((t\/t**(-9)*t)\/t*t)\/t)*t**(-2\/5)*t\/t**(2\/5) assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -332 in increasing order.\nAnswer: -332, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -75. What is the third derivative of 16*v**2 - 8*v**4 - t*v**4 + 26*v**2 + v**4 + 3*v**2 wrt v?\nAnswer: -360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + 7. Let d be (10\/(-6))\/(7\/(-42)). Suppose 4*p + d = -10. Let a(n) = n - 1. Give p*a(v) - q(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 4, -145, 445, 3 in ascending order.\nAnswer: -145, 1, 3, 4, 7, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -3?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - j + 16547. Is p(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1172365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51141486 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1001 + -1001.3005. Let a = -0.3 - p. What is a rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5\/7 - 545*z**4\/7 + 35528*z**3\/7 + 37154988*z**2\/7 - 111769920*z\/7 = 0.\nAnswer: -394, 0, 3, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116595247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 15 = -3*u, 6679*p - 3*u = 6683*p + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*k = -w - 7, 2*k - 14*w - 98 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48094 by 24047.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 15) to base 8\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 861619483.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14642 - 14646. Put 166, w, 5, 3 in increasing order.\nAnswer: w, 3, 5, 166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 5, 962.6, 26\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1164*n**3\/5 - 48884*n**2 - 747996*n\/5 - 2556 = 0. What is n?\nAnswer: -3, -5\/291, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(779\/(-57)*(-26)\/533).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -23, 5, -5 in decreasing order.\nAnswer: 5, -4, -5, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-38)*(-6)\/(-2)*1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 10 - 1. Factor 93 - 4*r + 32 + 79*r + r**z + 15*r**2.\nAnswer: (r + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fij when three letters picked without replacement from rfigjijrryjrjf.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/84 + (-40)\/(-7). Let s(f) = f**3 - f**2 + 5*f - 2. Let m be s(z). What is the highest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/17, -144.81072?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2128 and -87\/608.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b - 1. Let l(n) = 4*n - 14. Let z be l(9). Suppose g + 2*s - z = 5*g, -2*g - 1 = s. Is w(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*t = -27, 4*t - 21 = -4*r - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.07 - 0.83. Let h = -0.54 + x. Let r = -67\/3 - -22. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2 + 7245*a + 416214 = 0?\nAnswer: -57, 7302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15674)\/(-4610) + 38\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/5 + 155424*n\/5 - 155427\/5.\nAnswer: 3*(n - 1)*(n + 51809)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 0, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 6. Let l be j(0). Let c be (16\/3)\/(l\/(-9)). Suppose -4*i = -c*i + 36000. Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let l(u) be the second derivative of -12*u + 0*u**3 + 14*u**2 - 7\/8*u**4 + 0. Let v(s) be the first derivative of l(s). Give v(j(p)).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1887981, 16\/7, 0.2 in decreasing order.\nAnswer: 16\/7, 0.2, -1887981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9224993734393 take away 0.6?\nAnswer: 9224993734392.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 20*c**3 + c**2 - 2*c + 1. Let x be f(1). Calculate the common denominator of ((-74)\/x)\/((-4)\/(-2)) and 121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = 4. Let g = -37 + 34. Let k(j) = j - 4. Let v be k(7). Sort g, y, v.\nAnswer: g, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.1, 1101, 4, 10\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0052*-0.07.\nAnswer: -0.000364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15.6 * 1\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*m**4 + 120868*m**3 - 139228*m**2 - 187512*m - 36288 = 0. Calculate m.\nAnswer: -1512, -3\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 29186450*u + 42592443180125.\nAnswer: 5*(u + 2918645)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81614 less than 11.303752?\nAnswer: -81602.696248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22640, 22687, 22734?\nAnswer: 22781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 292 = -4*f - 14*f - 128, -3*f - 38 = -6*f - 0*f - 2*n for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 226*y**3 - 41*y**3 - 684*y**3 as b*y**3 + i + z*y + m*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*((-2 + 2 - 2)*(2 + b - 2) + 4*b - 3*b - 3*b - 3 + 3 - 2*b + 6*b + 4*b + 5*b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - 4*j - 3. Let k(m) = 7*m**2 - 7*m - 6. Let p(u) = -2*u**3 + u**2 + 5*u - 3. Let s be p(2). Give s*i(g) + 3*k(g).\nAnswer: g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1490 * 61.\nAnswer: -90890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 399*p**3 + 108?\nAnswer: 1197*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570 and 3565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*y**2\/5 - 411*y + 9126\/5 = 0. Calculate y.\nAnswer: 9\/2, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13575549 = 17*n - 6*n - 9111951. Round n to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 31 + 64 - 33. Let c(x) = -3*x**2 - 4*x + 4. Let f(v) = -5*v**2 - 7*v + 7. Let a(r) = 7*c(r) - 4*f(r). Give k(a(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 + 54 + -32 + 264\/55.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*c - 4232, 4*k - 16*c + 17*c = 4232. Calculate the greatest common factor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.1+172\nAnswer: 181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from zpkhp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 divided by 1?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:30 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + q + 3. Let v be (22 - 32)*(-1)\/(-2) - -10. Let c(n) = -4*n**2 - 2*n - 7. What is v*y(m) + 2*c(m)?\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1996599 and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0559 - -32.0441. Let k = -33.1 + h. Which is smaller: k or 17\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 16*i**3\/3 - i**2\/2 - 12*i + 37. Differentiate m(o) wrt o.\nAnswer: 32*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 40*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 799, 1526, 2241, 2938, 3611?\nAnswer: 4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from wpiwiwhfprwpwhpp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/1 + -1 + 32 + -20. Suppose -2*l = 2*d - 28, l - 5*d = -0 + 2. Let f = l - q. Is 4 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovyimovyyoo. What is prob of sequence ymyv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.69 - -1.31. Which is the second biggest value? (a) -2 (b) -18 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22066 greater than or equal to -22067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 11:31 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-30)\/9))\/(23\/((-3220)\/(-14))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 + 7*n**2 + 4*n**3 + 4*n**2 - 3*n**3 - 11*n**2 - 517.\nAnswer: n**3 - 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 12*p**2 - 6*p - 5. Let f be g(-11). Is f\/10*223\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 135, 120, 107, 96, 87, 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170*g + 30 = -1164*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4095 is divided by 216.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.294 - -15.3737. Round i to two decimal places.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdeedtvevtdtde. Give prob of sequence eve.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 6*w + 13*w + 6*w = 69 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1125419, 1125364, 1125213, 1124918, 1124431, 1123704, 1122689, 1121338?\nAnswer: 1119603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 - (-23 + 26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37189498 by -18594749.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 + 7*m + 3. Let i be k(-6). Let p be (-3 - -9)\/2*(-2)\/i. Find the common denominator of (-4)\/(p*-8) - 8\/12 and -27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1406, -1402, -1398, -1394, -1390, -1386?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3813070028 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1617*x**3 - 330*x - 2?\nAnswer: 9702*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -101 + 90 - 532\/(-48). Let z(w) be the second derivative of 0 - 3*w**2 + q*w**4 - 7\/6*w**3 - 22*w. What is z(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-10) - 0)*-6. Let y be 48\/(-9)*j\/(-2). Let s = 1 - y. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -4, 9, -5, 2 in increasing order.\nAnswer: -27, -5, -4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 28 + 32. Suppose -o - z + 36 = 0. What is the greatest common divisor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.059 times 129\nAnswer: -1168.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + -1. Let c = d - -10. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w*w)\/w*w)**(1\/49)\/(w**(-1\/5)\/((w*w**(-1\/2))\/w))*(w\/((w*w*w*w**(-2\/7)\/w*w*w)\/w*w*w))**(-3\/16)*w**(3\/4)\/(w**(2\/13)*w) assuming w is positive.\nAnswer: w**(1371\/25480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -107145*l**2 + 1. Let u be g(-1). Let w = u - 192856. Round w to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = z - 5*z. Suppose -173 = -z*g + 2*b, 3*g - 3*b - 88 - 83 = 0. Suppose -3*w = -2*w - g. What are the prime factors of w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:37 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3 - 3)*(-8*s - 4*s**2 + 8*s)*(-2*s**2 - 4 + 4).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**3 + 9\/8*c**6 - 1\/21*c**7 + 0 - 245\/24*c**4 + 0*c + 26*c**2 - 7*c**5. Find k, given that g(k) = 0.\nAnswer: -1\/2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let k(i) = -2329062*i - 620937*i + 2 + x. Let d be k(-2). Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75175984 and 832.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 21. Let d(s) = -2. Let q(m) = 22*d(m) - 2*f(m). Calculate q(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68 - 62779*p + 33317*p + 32066*p + 632 with respect to p.\nAnswer: 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.951 and -0.5.\nAnswer: 18.9755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 972*b + 67365 = -1325*b - 5147 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13655 = 587*v + 5315*v - 1851 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132351342 divided by -282?\nAnswer: -469331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 - 0.178. Let u = -66.998 - l. Let v = -67.059 - u. Round v to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43\/13 in -1.3, 1, -2\/5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28406 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 1 + 4. Does 4 divide 4\/(16\/3)*(p - -37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 6*y - 29. Let k be g(12). Suppose -2*h - 91 = 19. Let m = h - k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101000000001110001 (base 2) to base 12\nAnswer: -5b1495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 3, j: 3, y: 1, h: 10}. Give prob of picking 1 c and 3 j.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 2*a**4\/3 - 2*a**3\/3 - 4*a**2. What is the tens digit of d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90, 310, 778, 1608, 2914, 4810, 7410?\n\"Answer: 19*u**3 + 10*u**2 + 57*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3849084.7 rounded to the nearest 1000?\nAnswer: -3849000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -27*b - 6. Let i be n(-10). Suppose 5*z = 2*s + i, -7*s + 285 = 5*z - 2*s. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1120021210?\nAnswer: -1120021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 6*o**3 - o**3 - 3*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/((-276)\/(-72)) - -17. Solve 109 - 186 = x*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 235)*(-5)\/10. Solve c = 113 - q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645\/(-43)*(66\/1305)\/11.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c + 75. Let b be o(-23). Is 1623\/((-1)\/(b\/12 - -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b*m*w - 551*b*w - 8*b + 3*m + 546 wrt w?\nAnswer: -4*b*m - 551*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*(-11)\/((-880)\/(-30))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 771 + -758. What is the remainder when 1466 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1817\/11 - -165. Let q = 42.4 + -37.4. Let p = -15.7 + 15.6. Which is the third biggest value? (a) q (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1544 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**4 + 3*l**4 + 3*l**4 + (-3*l + 0*l + l)*(5 - 5 - 2*l**3) + l**4 - 2*l**4 + 2*l**4.\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-560)\/30*(-153)\/4. What is n rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:22 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6773413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020693702 a multiple of 4283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 7*u**2 - 5*u + 7. Let b(p) = 2*p + 27. Suppose -6*x + 8*x + 20 = 0. Let q be b(x). Let j(w) = w**3 - 6*w**2 - 4*w + 6. Give q*j(l) - 6*s(l).\nAnswer: l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31043 and 514307.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -241, -721, -1201?\n\"Answer: -480*x + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujjn when four letters picked without replacement from njjjjnu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -269, -550, -809, -1022, -1165, -1214?\n\"Answer: 4*b**3 - 13*b**2 - 270*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -11*h**2 - 18444923*h - 3353622 = 0.\nAnswer: -1676811, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n**2 + 14*n**2 + 8*n**2 + 3*n**2 - 4*n**2.\nAnswer: 53*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mooooooogoo. What is prob of picking 3 m and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + 77\/63. Let y be (-6)\/(-6) + 0 + (-4)\/12. Suppose -4*n = l + 6, -l + 4 - 11 = 5*n. Which is the second biggest value? (a) n (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-2*o**4 - 2*o**4 + 2*o**4) + 1 - 2*o**4 - 1 - o - o**4 + o + 2*o**2.\nAnswer: o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -76) + (2 - 2). Suppose 0 = 4*c - 1 - 15, 0 = -v - 5*c + 35. Let m be (v\/(-5))\/(6\/(-32)). Calculate the highest common factor of f and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60.2 + 71. Let i = t + -11.17. Let a = 0.43 - i. Put -1, -2\/9, a in decreasing order.\nAnswer: a, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -139, -133, -129?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 8372*u**2 + 7836*u - 536 = 0?\nAnswer: -1, 134\/2093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**2\/2 + 10*c + 4. Let j be b(-9). Suppose -5*x + 5*n + 110 = 0, x - n + 3*n = j. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 12*y + 110. Let p be ((-2)\/y)\/((-2)\/4). Sort -2\/9, -2\/29, p in ascending order.\nAnswer: -2\/9, p, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 158783836*f.\nAnswer: -2*f*(f + 79391918)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 5*x**2 - 4*x - 3. Let p be f(-2). Let a be 3*2 - (-6 - p). Suppose -4 + 24 = a*w. Which is smaller: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 + 0*q + 10*q**3 - q. Let s be o(1). Let k(l) = 2*l + s*l - 3*l. Let m(d) = d**2. Give m(k(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 2*g**2 - 4*g + 1. Let q(l) = l**3 + 2*l**2 + 3*l. Calculate -3*p(y) - 4*q(y).\nAnswer: 2*y**3 - 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, t: 2, x: 14, h: 1}. Give prob of picking 1 x and 2 t.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*k + 10 - 147*k + 0 - 17)*(k + k - k).\nAnswer: -326*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10618643.\nAnswer: 7, 59, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 392*t - 36117. Give j(-148).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = m - 5999984, -m + 3*z - 29999959 = -6*m. Let t be 4\/(-6) - m\/15. What is t rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 - 3\/3). Suppose -3 = -n - l. Suppose n*x + 7*x = 40. Do x and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 254 and 20259.\nAnswer: 20513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*f + 3*t, 12*f - 7*t - 106 = -3*t + 102 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*r - 1. Solve r = -0*u + 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3337 from -8629.2.\nAnswer: -5292.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2292 by -6.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25652749.\nAnswer: 197, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*j**2 + 35 - 35 + 117*j**2 in the form c*j**2 + m*j + f and give c.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.58659 rounded to 2 decimal places?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599635859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -29*a + 168. Let z(b) = -b**3 + b**2 + 19*b - 49. Let d be z(-5). Determine c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/13 + 4946*r\/13 + 19752\/13 = 0.\nAnswer: -2469, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:26 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 13 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55909730?\nAnswer: 2, 5, 5590973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10*v = 7*v + 18, 5*c - 50 = 5*v. Calculate the greatest common divisor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -16. Let h = o + -47\/3. Factor h*s + 1\/3*s**2 - 2\/3.\nAnswer: (s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 8*v**2 - 2*v + 16. Suppose 40 = -3*x + 8*x. Let i be t(x). Solve -4*m - 5*a - 36 = -i*m, 28 = -3*m - 4*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*q - 14 - 52, -q = 2*d - 14. Factor 4*s**5 - q*s**4 + 10 + 10 - 20.\nAnswer: 4*s**4*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 - -3232201?\nAnswer: 3231333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -9*q**7\/350 + 3*q**6\/100 + 11*q**5\/100 - q**4\/10 - 2*q**3\/5 - 3*q**2. Factor x(v).\nAnswer: -3*(v - 1)**2*(3*v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26138405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k - 23*k - 33*k - 36*k + 47 + 26*k.\nAnswer: -102*k + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -57\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(128) + 4).\nAnswer: -8*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91.49407 - -0.02593. What is a rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566404 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11111111000100111100110 (base 2) to base 16\nAnswer: 7f89e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32062 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 13122060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 4*g)*(3 - 3 - 4) + (1 + 0 - 5)*(g - 4 + 4)*(-13 - 5 + 8) as k + n*g and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 555*s - 18. Let y(p) = 831*p - 29. Calculate 8*t(k) - 5*y(k).\nAnswer: 285*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -679*y + 6123. Give b(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3 + 2655035*u**2 + 5310055*u + 2655025 = 0. What is u?\nAnswer: -531005, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122822*v + 3*i = -122824*v + 36, -3*v - 4*i + 48 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2100010200310 + -1?\nAnswer: 2100010200304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2. Let t(y) = -y**2 + y. Let s(r) = 11 + 26*r**2 - 13*r**2 - 11*r**2 - 6 + r. Let q(u) = -s(u) + t(u). Determine q(v(h)).\nAnswer: -3*h**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12176, -23144, -32910, -41474, -48836?\nAnswer: -54996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 5.1. Let v = -4.5 - t. Let q = 198.4 + -198. Which is the closest to -0.1? (a) v (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 93 - 13c358b?\nAnswer: -13c34c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -323*c + 338*c + 60 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 - 9*q**2 - 2*q = 0. Calculate q.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -2588050?\nAnswer: -2588051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + (4 - 12). Suppose 2*i = -3*z - 32, -z - 2*i = 4*z + 52. Let q = -9 - z. Sort 0, y, q.\nAnswer: y, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -151*u**5\/20 - 61*u**2 + 189*u. What is the derivative of x(n) wrt n?\nAnswer: -453*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -273a709?\nAnswer: -273a712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 7\/5, 3, 2, 0.5, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 + 8*t + 3. Calculate q(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-312) - 5*(-21)\/(-585).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*g + 191*g - 3 - 97*g.\nAnswer: 177*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (-75 - (106 + -88)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 99*q**2 + 12*q + 6. Let f(z) = 292*z**2 + 34*z + 17. Let w(t) = 17*a(t) - 6*f(t). Let d(b) = -10*b**2. Calculate d(w(c)).\nAnswer: -47610*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Suppose 0 = -t*r + 4*r - 5. Solve 2*s = -3 + r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30123 - (1\/(-4) + (-11)\/4). Suppose 0 = 8*f - 50458 - l. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3.3. Let s = -61 - -64.7. Let r = v + s. Which is the smallest value? (a) 4 (b) r (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -50. Let j = 18 - y. Let u be (2\/6)\/(2\/4). Which is the second smallest value? (a) u (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(195) - ((-5*sqrt(195) - sqrt(195)) + sqrt(195) + sqrt(195)) - sqrt(195) - sqrt(195))\/sqrt(5))\/(sqrt(108)*-3))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p**2 + 8*p + 12. Let h be d(-2). Let s = h + -52. Let y be 0 + -347 - -4 - s\/(-1). Round y to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1865747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**3 + 80*h**2 + h + 1. Determine u(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s - 14 = 0. Is -7 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 20*d**2 - 2\/3*d**3 + 1\/12*d**4 + 0*d - 1\/15*d**5 + 0 + 1\/120*d**6. What is the smallest common multiple of 2 and z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 + 24 = -8*d. Let o be 24\/d - ((-324)\/78 - -4). Let h be 2\/11 - (-27)\/33. Solve -2*s + 1 + h = o*l, -4*s = -2*l - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/3 + 34*k - 196\/3 = 0 for k.\nAnswer: 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -39, -3 in descending order.\nAnswer: -1, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 6.8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7673?\nAnswer: 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*c + 17976 = -351*c. List the prime factors of c.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:30 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + j + 3*j - 386 = 0, 4*c + j = 793. Let v = -57 + c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b - 4*w, -b + 2*w + 12 = -6. Suppose -5924 = 4*o - b*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/1*3\/(-4). Suppose d*x = -x + 96. Calculate the highest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:38 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 3:42 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3935, 3981, 4027?\nAnswer: 4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 46. Suppose 0 = k*n - 763 + 2783. Let p = -203 - n. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -534 - -538. Solve -3 = -f - 2*t, -2*f - 5*t - m = -12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-3))\/(98\/(-546)*-39))\/((-32)\/12)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47335272799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11\/20, -38, -0.3, -2\/9, 6, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1520 and 13289360?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 1\/20*k**5 - 2*k + 0 - 1\/3*k**3 - 1\/2*k**2 + 1\/6*k**4. Let w be q(-3). Are w and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Suppose f*m = 4*t + 6*m - 107, 3*m = -t + 20. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.1 + 121.1. Let v = 91.3 - t. Let z = 6.7000098 + v. What is z rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 994 and 17.\nAnswer: 16898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**2 + 256*v - 26. Determine g(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/30 - 3\/(-60). Determine t, given that 7\/2*t**2 - 5\/4*t**4 - 3\/4*t + x*t**5 - 9\/4 + 1\/2*t**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**4 - 6*f**3 + 6*f**2 - f - 6. Let b(i) = -i**4 - i**3 + i**2 + i - 1. Let z(n) = 6*b(n) - u(n). Find the second derivative of z(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(4*n - n - 2*n + (0 - 1 + 0)*(-3 + 3 + 2*n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2036 - 2036. Let a(j) be the first derivative of 0*j**2 + 7\/5*j**5 + u*j + 11 + 0*j**4 - 11\/3*j**3. What is the third derivative of a(k) wrt k?\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(-8)*x*x*x**(-5\/6))\/(((x*x**5)\/x)\/(x\/(x*x**(-10)))) assuming x is positive.\nAnswer: x**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12005 - -2?\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1962 divide 56523258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 + 44*s - 393. Give n(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 288921 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 451*u**2 + 7496*u - 375. Determine w(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 - 17 + 22)*(0 - 3*a + 0) to l*a + w and give l.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -799.8 + 800.8. What is the fourth biggest value in -1\/3, y, 2, -3, -0.051?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:40 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 j when three letters picked without replacement from otjooooojooot?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bttbttbtbtbbbub. What is prob of sequence bbb?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-102)\/42)\/((-2)\/(-16)*-10). Let k = 5063\/210 - n. What is the common denominator of -5\/134 and k?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5057173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (3 - 2))*(-6)\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2 + 2*c - 2*c + 12*c - 5. Let q be l(6). Let u be -3 + -1 - -67 - -1. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.61 - 96.61. Let w = 0.9 + 0.1. Which is the nearest to 0? (a) w (b) -2\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (32 + -9) - -13 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2057) + 0)**2 - ((sqrt(2057) + -1)**2 + -3) - ((5*(sqrt(2057) + 1 + sqrt(2057)) - sqrt(2057)) + 0 + 1 + sqrt(2057))**2.\nAnswer: -205735 - 1298*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*h + 324*h = -2*d + 506, -d + 244 = 2*h. Calculate the remainder when 1058 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -118*u**2 - 6*u. Let g(w) = 180*w**2 + 10*w. Let b(q) = -8*c(q) - 5*g(q). Let i(r) = -45*r**2 + 3*r. Give -3*b(t) - 2*i(t).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-18)*(-6)\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264*c**2 + 1008*c**2 - 11*c + 11*c.\nAnswer: 2272*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18934 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0194003788 rounded to 5 decimal places?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 e when four letters picked without replacement from {y: 5, e: 2, t: 3, z: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7984277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16890242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -218305 (base 12) to base 10\nAnswer: -532661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18840?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.106 (b) -0.5 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*1*5)\/sqrt(10) - (-1 + sqrt(1377))*-2.\nAnswer: -2 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.11 or 421?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87626 - 1568594028.\nAnswer: -1568506402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 104*j**2 + 117*j - 959. Let d be x(103). Calculate the greatest common factor of d and 5957.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.97 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 4*f = 18. Suppose -f*u - 18 + 33 = 0. Solve 0 = u*i - 6 + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 times -20\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -5865425.837?\nAnswer: 5865426.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-540)\/(-18)*5*(-11)\/330)\/(1\/8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (4 + -2 + 3). What is the closest to 3 in f, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 128 + 155 - 23)*(0*h - h + 3*h) to c + r*h and give r.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260*p**4 + 1457*p + 1523*p - 2814*p wrt p.\nAnswer: 3120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31969103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.33, 14, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3)\/((-3)\/1257). Let r = -27595\/22 - y. Calculate the common denominator of -59\/16 and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 39 + 509 = 0. What is the remainder when h is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9 - (((-112)\/24)\/1 + 2)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.52786507 rounded to one dp?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3 - 84*v**2 - 156*v = 0.\nAnswer: -26, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 42 = o - 6*o, -154 = -15*o - 17*k + 15*k for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4 - 3*j - 1 + 4 - 3*j. What are the prime factors of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 - 2*l - 4*l**3 + 5 - 1 - 3*l**3 as w + d*l**2 + n*l + b*l**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from ttetltqlltthlctqtqqh?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = m + 11*k + 2, -2*m = 5*k + 1. Solve 3*l = -9, 0 = 2*f + m*l - 5*l - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(0 + 2 - 3) + 1 + 0 + 3)*(2245*i - 2*i**2 - 2255*i + 0*i**2 + 4).\nAnswer: -4*i**2 - 20*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 525\/218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 + 16*p - 16*p + (-2 - 5 + 4)*(5*p**3 - 2*p**3 - 4*p**3) + (2 - 2*p**2 - 2)*(5*p - 2*p - 5*p).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2760)\/(-230))\/(54\/(-4)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29474 or -147372\/5?\nAnswer: -147372\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.2 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*1485.\nAnswer: 60885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5 = -35*g + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 4*f - 16, c + 11*f = 6*f - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/793 or 1?\nAnswer: -2\/793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-21)\/(-423)) + 0. Let w = 223 - b. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(56\/(-24))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 138756230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868 a factor of 731650362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 != 1074\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1194\/19 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*s + 7 = 0, 7*h = 5*h - 3*s - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32144153 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -570a5 + 3?\nAnswer: -570a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-1)\/4)\/1). Suppose -5*i = -2*s - 7, 0 = -3*i + i - 2*s + 14. Suppose -n + q + 30 = i, o*q - 30 = -2*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -4445*x**3\/6 + x**2 + 2*x. Let s be w(-2). Is s\/20 - 6\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1*(4\/(-7))\/((-3250)\/(-1820))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2919.46.\nAnswer: -5838.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - 0.05. Let b = w - -0.3. Round b to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10122 - -10142?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - 18\/8. Let g be -29*((26\/7)\/13 + 6*9\/(-42)). Which is the closest to 0? (a) g (b) -0.5 (c) 0 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 96 = p. Let t be (-2)\/(-6) + p\/18. Let n = 224\/423 - 4\/47. Which is bigger: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 353283155 to the nearest integer?\nAnswer: 18796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlzhpplzpfufpl. What is prob of sequence ll?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 4*q**2 + 2*q + 1. Let d = -17 + 13. Let r be 10*(-3)\/30*d. Calculate u(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 8, 3 in increasing order.\nAnswer: -89, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.93? (a) 1\/3 (b) 14\/3 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -9\/5 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p + 159. Let r be x(-10). Suppose r*t = 31*t - 1074. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a = -235 - 323. Solve -3*x = 5*p - 25, -2*p + 4*x + 29 = a*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32715329.52 plus -0.6?\nAnswer: 32715328.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2303, -2255, -2181, -2075, -1931?\nAnswer: -1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 54. Let m = r - -31. Let s = -19 + m. What is the closest to 1 in s, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -4, -3, 0, 5?\n\"Answer: o**2 - 4*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 24 = -329. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s)*(-4 + 4 + 1) - 5 + 3*s + 5.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05081798 and -0.9?\nAnswer: 0.84918202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/616 and 11\/14.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -114514.304.\nAnswer: -114514.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 - 5*n**2 + 2*n + 4. Let g be p(-2). Suppose 5*i = -a - 232 + 646, 4*a - 1680 = g*i. Calculate the remainder when a is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745559 to the power of 1\/2, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 14*o**6\/15 + o**3\/6 - 3*o**2\/2 + 26*o. What is the second derivative of k(m) wrt m?\nAnswer: 336*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/((-1)\/24). Suppose 3*q = 3*l - q - 12, -g = -2*l - 2*q. Solve -4*c + 4 = -0, -3*j - l*c = 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.7072?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-3\/25)*(v**(1\/3))**(11\/6) assuming v is positive.\nAnswer: v**(221\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7508 - 7500. Suppose -3*z + 20 + 4 = 0. Is s greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i + 1. Let u(p) be the third derivative of 0 + 0*p - 4*p**2 - 1\/6*p**3 - 1\/6*p**4. What is -3*q(d) - 5*u(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 4. Let b be r(-9). Suppose 2*u - 62 = -i - 3*i, 0 = -4*u - b*i + 124. What is the biggest value in 0.5, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 0*z**3 + z**3)*(1 - 1 - z) + z**2 - 6*z**4 - z**2 + (0*z**2 - 3*z**2 + 2*z**2)*(-63 + 63 + 26*z**2).\nAnswer: -33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2*r**3 + 0*r**2 - 1\/40*r**5 - 1\/4*r**4 + 6 + 0*r + 1\/120*r**6. Let j(a) be the third derivative of d(a). Factor j(m).\nAnswer: 3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 5*b + 76, -361*b + 357*b = m - 30 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 59*a**2 + 1125*a + 338. Calculate s(-13).\nAnswer: -4316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -0.3, -0.01, 30, -588?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 12:28 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 28*l + 88 = 0. Let m(d) = 9*d - l + 5 - 4*d**2 - 6*d + 2. Determine m(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2698 + -2666. What is the smallest common multiple of w and 6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 36. Let l = 51 - -31. Calculate the remainder when l is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 9.8.\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 43*j**2 - 166*j + 1684. Calculate x(46).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 14*n + 273. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/(-3)*(-75)\/(-125))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -469, -729, -1011, -1321, -1665, -2049, -2479?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*p - 6*p. Are p and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6666692 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 248457118 or 248457117?\nAnswer: 248457118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4267*z**2 + 2. Let v(k) = 2*k + 11. What is v(n(b))?\nAnswer: -8534*b**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 2 + 15*q - 2.\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 0*r**4 + 8*r**2 - 7*r**4 - r**4 + 12*r - 16*r**3 + 7*r**5 = 0. Calculate r.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17\/42 - -4\/21. Which is smaller: a or 6\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-11))\/(1\/4*8\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(2\/(-4)). What is the second derivative of -3*q**3 + 3*q + 2*q**3 + 4*q**p wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2465791696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {f: 2, h: 2, i: 3, o: 2, l: 1, u: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**4\/24 - 18*i**2 + 21. Suppose -4*s + 10 = -3*s + 2*g, -s + 8 = 4*g. Let w(m) = 6*m. Determine s*o(y) - w(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 69796, 5 in decreasing order.\nAnswer: 69796, 70, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*z + 3 = r, -4*r = 3*z - 29. Suppose 4 = -a + r. Suppose a = b + 5*i - 16, 40 = -5*b + 3*i. What is the third biggest value in 5, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from qqqqoooqqoqqqqoq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 606*f**2 - 15 + 72*f**3 + 601*f**2 - 1207*f**2 to the form t*f**3 + r + i*f + a*f**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22486.89554 rounded to the nearest 100?\nAnswer: 22500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5714*k = 5688*k - 754 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 35*b - 62. Determine d(-20).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-15)*b*b*b*(b\/((b*(b**(4\/9)\/b*b)\/b*b)\/b))\/b)**39 assuming b is positive.\nAnswer: b**(-1222\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325) + sqrt(325) + 1)**2 + sqrt(13) + sqrt(13) - 4*sqrt(208).\nAnswer: 16*sqrt(13) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -148*i - 1495. Give t(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005932 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -79 and -4.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 11, 16, 21, 26, 31?\n\"Answer: 5*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18702367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) -4\/11 (b) 1\/4 (c) 969\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/7)*l*l**(3\/8))**(-2\/11))**(-38) assuming l is positive.\nAnswer: l**(2223\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2 + j. Let w be u(-1). Suppose 2*d - w = -0*d. Find the third derivative of -3*h**6 - 2*h**d - 14*h**5 + 14*h**5 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264 + 794\/3. Find h, given that 0 + 1\/3*h**4 - o*h**3 + 0*h + 1\/3*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/4 + 27*d**3\/4 + 45*d**2\/4 + 21*d\/4 = 0. What is d?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11125 - 10798. What is the highest common divisor of m and 872?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4250785236 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, -4, -588, 7, 34 in descending order.\nAnswer: 34, 7, -1\/32, -4, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 37. Let v = 9 + c. Put v, 5, 6 in increasing order.\nAnswer: v, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46655 - 85*w**2 - 46725 + 86*w**2.\nAnswer: w**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*u**2 + u - 3*u - 3)*(14 + 5 - 6 + (0 + 2 - 3)*(2 + 0 + 0) + 3 + 1 - 2).\nAnswer: 26*u**2 - 26*u + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microsecond in nanoseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 65076.12 nanometers?\nAnswer: 0.00006507612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 25*i**2 + 20*i - 45. Let f = 207 + -231. Calculate the remainder when a(f) is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14558 divided by -7279\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m + 3. Let j be a(-2). Let x = j - -9. Let z be 15\/(-5) + (65001 - x). What is z rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 - 26. Let z = 32 - -10. Calculate the remainder when x is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) -2\/113 (b) 0.4 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0592 - 1.89?\nAnswer: -1.9492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 - 696*c**3 - 190471*c**2 + 191166*c = 0.\nAnswer: -211, 0, 1, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.74000055 + 0.74. What is z rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3484 - -3487. Solve -3*s - 6 = -4*g, w*g - 2*s + 4 = 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5481.835mm to micrometers.\nAnswer: 5481835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(76)\/sqrt(4) - (sqrt(19) + sqrt(76)\/(sqrt(4)*-2 + sqrt(4))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) - ((-3)\/(-2) + -1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 279.3965 decades?\nAnswer: 33527.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 4*g + 2. Let h be z(4). Let j be (-2 + 0 + h)*-1. Suppose 3 = s + 4*k - 0*k, -4*s = -k - 12. Solve -t + 2*t + s = j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuruuyuyyguyugu.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(88)*2 - sqrt(88)))\/(2*sqrt(288) - sqrt(288)) + 2.\nAnswer: 2 + 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 16 = 5*l, -2 = -2*l - 2*f - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - 2.04. Let i(m) = 7*m - 84. Let g be i(12). Let x = 0.7 - 4.7. What is the closest to 1 in z, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdssbdfp. Give prob of sequence bpsf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/4, -249.\nAnswer: -249, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0 + 0)*(-37 + 37 + 3*w + 2*w**4) + (-4*w**2 + 16 - 15 + 3)*(11 - 11 - 8*w**3).\nAnswer: 28*w**5 - 32*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64258.31 + -64252.909933. Let k = -65.4 - -60. Let u = k + w. What is u rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/8713?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + (-91)\/(-21). What is the second derivative of -12*d**v + 2*d**5 - 176*d**3 + 176*d**3 + d wrt d?\nAnswer: -200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6112 + 3598. Let w = -12524\/5 - m. Find the common denominator of -63\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 1. Let r = -20 - -24. Give u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 238*j**2 - 475*j**2 + 246*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from vjemn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -s - 9 + 54, 3*s = m + 145. Let u = s - 32. Factor u - 12*g - 18*g**2 + 11*g**2 + 9*g**2.\nAnswer: 2*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109939 (base 10) in base 3?\nAnswer: 12120210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 9*b - 5. Let o be u(-6). Suppose -w - 34 + o = 0. Which is bigger: -22 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 - 0.13. What is the closest to p in 2, 3\/10, 0.5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 3*u**2 - u - 2. Suppose 0*j + 10 = -j + 4*q, q = 3. Let b be w(j). Which is greater: -1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 at least as big as 22.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71050 and 226?\nAnswer: 16057300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 14*v**2\/3 + 4*v\/3 - 16 = 0.\nAnswer: -2, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4*17\/(-34))\/(-2 - 10\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:10 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/((84\/(-7))\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654469215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 61?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083040446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - 2*o**2 + 9*o**2 + (3 - 3 - o)*(-o + 1 + 4*o - o).\nAnswer: 5*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 13 = -2*o - 9, -25 = 5*k + 5*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**5\/5 - 3*v**4\/2 + 2. Factor u(a).\nAnswer: 3*a**3*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158 and 869.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:36 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 24*h + 37. Let y(v) = -6*v - 9. Let p(f) = -2*b(f) - 9*y(f). Does 17 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*y + 332, 4*k - 249 = k + 4*y. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -8592.\nAnswer: -8592.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 56845*i - 170490 = 0. What is i?\nAnswer: -11366, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:25 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 92. Let m be ((-6)\/4)\/(6\/(-8)). Suppose 4*l = -4*s, 3*s = -4*l + m*l + 4. What is the remainder when s is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 5*t**2 + 4. Let q be j(-5). Suppose 0 = -q*a - a. Factor -2\/11*c**3 + a*c - 2\/11*c**2 + 0.\nAnswer: -2*c**2*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -523*m*w**3 + 858*m*w**2 + 17329*w**6 - 12824*w**2 wrt w?\nAnswer: -3138*m + 2079480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23090 + 23105. Solve -2*r = -4*o + 52 - 32, 3*r - o + g = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*w + 20, -7*w = 2*o - 3*w + 8. Let p(s) = -s**2 + 4*s + 4. Let t be p(5). Let u be (t\/o)\/(12\/(-16)). Put u, -2, -3 in increasing order.\nAnswer: -3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3836318 and 24896?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (4\/(-2) - 3). Let d(n) = c*n - 3*n - 14 - n - 3*n. Let z be d(-6). Solve -4*l = 12, l - z - 1 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/87506 and -58\/3?\nAnswer: 262518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 2*d**2 + d + 13. Let f(b) = 6*b**3 - 11*b**2 - 5*b - 66. Let g(v) = -2*f(v) - 11*i(v). What is g(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and 72.57.\nAnswer: -4499.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -18163259 and -18163259 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 43040189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -605, -1882, -4365, -8456?\nAnswer: -14557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4968095?\nAnswer: 5, 11, 59, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and -7.292951077763?\nAnswer: 7.352951077763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 3*a**2 - 3*a - 2. Let d = 395 - 392. Let k(m) = -2*m**3 - 8*m**2 + 8*m + 6. Calculate d*k(x) + 8*r(x).\nAnswer: 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-5)*(-525)\/105?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/217 or 2\/317087?\nAnswer: 2\/317087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 12*p**2 - 1. Let u be 1*(6\/(-2) - 9). Let w be m(u). Let a be 2\/(4*w)*-4. Solve 0 = 5*f - a*i - 15, -i + 3*i = 3*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:46 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + sqrt(605) + 5 - (5 + -4*(sqrt(605) - (sqrt(605)*2 - sqrt(605)))))*-6)**2.\nAnswer: -1584*sqrt(5) + 21924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15e79 + 4b?\nAnswer: -15e2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -19*j**2. Let q(a) = 6*a**2. Give h(q(n)).\nAnswer: -684*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:17 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17169412 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 11616?\nAnswer: 11624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 - 20 = 0. Suppose i = -2*w + 6*w, -2*w = 3*h - 21. Find the second derivative of 5 - p**4 + p - h wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:10 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4192 + 0.052. Let t = s + 0.26. What is t rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2840955 minutes in milliseconds?\nAnswer: 17045.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 141\/(-6))*-2. Let j = -25 + w. Let m be (3\/6)\/(1\/j). Which is greater: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -411 and -5038?\nAnswer: 2070618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -5)**2*4 - 5*sqrt(1053).\nAnswer: -85*sqrt(13) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 19. Let d be q(8). Suppose -5*b + 3*b = -2*i, 4*b + 2*i - 12 = 0. Find the second derivative of 4*h + 3*h**2 + d*h**b - 3*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 23301?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 10:37 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -4*v + 3 - 1\/2*v**2. What is the derivative of t(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -40624 + 40624 - 4*r**2. Let i(p) = 126*p. Determine s(i(b)).\nAnswer: -63504*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2 - 6\/(-2)). Let i(w) be the first derivative of 1\/4*w**4 - 2\/3*w**3 + n*w**2 + 2 + 0*w. What is the third derivative of i(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189\/230 - 1\/46. What is the nearest to 1 in 0.07, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10161 + 37239. What is n rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*f = -0*f - 15, 5 = 2*k - f. Suppose -5*z + k*p + 402 = 3*p, p - 159 = -2*z. What is the remainder when z is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmxmtxix. Give prob of picking 1 m and 1 i.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2210748, 4421444, 6632140?\n\"Answer: 2210696*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-2 + sqrt(14))\/(-4*(sqrt(2) + sqrt(32))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625019, 624995, 624985, 624995, 625031?\nAnswer: 625099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 1467 + 35313. Let z = v - 893. Is 35 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 21 = -4*g - 34, 4*g + 65 = -3*l. Let f = 21 + g. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*d - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = 2*p. Let x be 27\/45*1\/p. Suppose o - 8 = 5*y, -o + 0 = -4*y - 6. Are o and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24697.1499 rounded to the nearest 100?\nAnswer: 24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 883 and 920.3.\nAnswer: 812624.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 83 - 27. Let u = -26 - j. Let s = u + 102. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 + 11563460?\nAnswer: 11563624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 73*j - 72*j + 2 = 0, 2*j + 2 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:14 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f + 115*f - 7014 = 5401 for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1598984.1 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cniidndencnicen. What is prob of picking 1 n and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2887 + 83 = 9*b. Suppose 2*z - 4*z = 2, 0 = -2*w - 3*z + 57. Calculate the highest common divisor of w and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104150?\nAnswer: 2, 3, 5, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*c**4 - 407*c**3 - c**2 + 22*c + 16431?\nAnswer: -816*c**2 - 2442*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-21))\/(-10 + 1974\/196).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 9. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -68. Let t = o + -46.84. Let n = t + 0.6. Round n to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x*x)\/(x*x**3*x)*(x\/((x*x**0)\/x*x))**(-4\/15) assuming x is positive.\nAnswer: x**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 874 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4326 + -4321. Let u(a) be the first derivative of -a**2 - a - 2. What is u(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2364, 2735, 3080, 3387, 3644, 3839, 3960, 3995?\nAnswer: 3932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74715 (base 8) to base 14.\nAnswer: -b513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (3 - 1)) + -1. Which is bigger: a or -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 132\/28 - (-6)\/21. Solve 4*n - 4*g + 20 = 0, -z*g + 8 = -3*n - 17 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -648 - -652. Suppose -9 = -r*f + f - n, 3*f - 5*n = 27. What is the remainder when 33 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 1278107 = 378053. Round c to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 8, -2 in descending order.\nAnswer: 8, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 10) in base 2?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/28764150 and -41\/63.\nAnswer: 604047150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3b2 (base 12) to base 3\nAnswer: -202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/19)\/((a**(6\/7)\/a)\/a))\/(a\/(a\/a**(-3\/2)))**(-41) assuming a is positive.\nAnswer: a**(-15999\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 463 and 18.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ioeoiewiwoeoezeerei?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/653 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 23 = t + 24, 0 = 2*o - t - 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 11:16 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**3 - 8*o**2 - 6*o + 8. Suppose y + 23 = -5*v, 13*y = 10*y + 2*v - 18. Let s(k) = -4*k**3 + 3*k**2 + 2*k - 3. What is y*s(t) - 3*q(t)?\nAnswer: -4*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -2.3. Let s = j + -3. Let a = -0.6 - s. Is 0.2 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaapaaa.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 150657.6514?\nAnswer: -150657.7014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(98)*2).\nAnswer: sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*a - 4 + a + 3 + 2 in the form m + w*a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 4. Calculate p(10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, k: 1, l: 1}. What is prob of picking 2 a and 1 k?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 8. Suppose 862*q - 778*q = 84. Let f be (0\/2)\/3 - -4. Solve -z*b - 10 = -4*x, -f*x - q = -b - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Suppose 5*p + 2*a = p + 347994, -z*a - 87012 = -p. What is p rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -596\/119 - -90\/17. Which is greater: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*d + u + 5427, -5*u = -2*d - 2194. Let v = -141 - d. What is the tens digit of 18\/42 - v\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z - 16. Suppose 5*u = z*b + 115, 5*b - 46 = -u - u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Suppose 19 = 6*f - n*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 627 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 33*o**2 + 32*o - 1. Give q(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h. Let s(g) = 5*g. Let w(o) = -11*s(o) - 6*t(o). Let z = -8 + 14. Let i(v) = 3*v**2 + 4*v**2 - z*v**2. Calculate i(w(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-33)\/(3 - 0) - (-1400)\/(96 + -61)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:45 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + a**2 - 2*a**3 + 34*a**2.\nAnswer: -2*a**3 + 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 7044 = 22*n + 6658, -5*n - 9*q + 93 = -7*q for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w - 54 = -33*w. Let i be 3*(-8)\/36*w\/2. Is i > -20\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 21500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -27*b**4\/4 - 3*b**3 + 15*b**2\/2 - 3*b - 3. Find f, given that z(f) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Suppose 0*b + m = -b. Suppose 2*r + 4*o - 22 = 0, 0 = -3*r + 4*o - 6*o + 21. Put b, r, -3 in ascending order.\nAnswer: -3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/3*(-60 + 3). Let s = -16 - -18. Suppose s*v - u - 113 = 0, -v - a = -3*v - 5*u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4704 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - o + 11. Let v(q) = 2*q**2 + 2*q - 10. Determine -4*s(n) - 3*v(n).\nAnswer: 2*n**2 - 2*n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 - 2*h - 2. Let t be l(2). What is the tens digit of 1735\/30 + (-1)\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -278, -561, -848, -1139, -1434?\n\"Answer: -2*n**2 - 277*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.161 + 2.759. Let p = 0.08 + k. What is the smallest value in p, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98.1 + 98.100069. Round m to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 22.32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**7\/14 - b**6\/5 + b**4\/2 + b**3\/2 + 19*b. Factor r(y).\nAnswer: -3*y*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (4 - (-2 + 3)). Suppose 2*i - 9 - u = 0. Let h = i - 3. Solve g - h = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 36. Suppose w = -r*w + 63. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188229.9s to microseconds.\nAnswer: 188229900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -38. Suppose z - 42 = 5*q, -5*z + 130 = -0*z - 5*q. What is the remainder when ((-260)\/12)\/((-1)\/x) is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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 o(l) = 19861683*l. Let h(k) = -5*k. Calculate h(o(g)).\nAnswer: -99308415*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -424 in decreasing order.\nAnswer: 5, 1, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1071635.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 11) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4059 divided by -33?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -5*r + 40, -607*z + 611*z + 16 = 2*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4, -908, -1 in descending order.\nAnswer: 4, -1, -2, -5, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d + 3. Let v(l) = -106*l + 16. Determine 11*b(w) - 2*v(w).\nAnswer: -19*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4 - 134*m**3 - 408*m**2 - 410*m - 137 = 0?\nAnswer: -1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/510*1660\/332.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200) + 3)**2 + sqrt(22)\/(6*sqrt(275)).\nAnswer: 1801*sqrt(2)\/30 + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 812337829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(77) - 1*sqrt(77) - sqrt(77)))\/(1*sqrt(14)\/sqrt(2)) + 6*((sqrt(11) + (sqrt(11) - sqrt(99)) - sqrt(11)) + -2 + -1*sqrt(11)*-2))**2*-3.\nAnswer: -1620 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/4 + 5*h**3\/3 - 3*h**2 + 7*h + 1. Let m be j(-6). Suppose 9*l - m = 8*l. Let r(b) = -b**2 + 9*b - 8. Calculate r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 38, 60, 84, 110, 138, 168?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l. Let c = 7 + -9. Let j(s) = -9*s - 1. Give c*j(f) + 5*o(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - o = 30, 0 = 5*g - 2*o - 51. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 579528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 8 + -8)*(-10 + 12\/(-4)). Solve -p - 22 = 4*d, 2*d - t*p = -8*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232948689.\nAnswer: 3, 89, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/60 + b**4\/6 + 5*b**3\/6 - 5*b**2. Let t(v) = 3*v**2 - 9*v - 11. Determine 7*p(u) + 3*t(u).\nAnswer: 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1\/2, 0.8, 2, 8.9, -1\/3 in descending order.\nAnswer: 8.9, 2, 0.8, 1\/2, 0.03, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (340\/(-1105))\/(6*(-2)\/(-26)). Let h = -3 - -3.1. Sort h, 6, q in increasing order.\nAnswer: q, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 3*m + 1. Let l be d(-2). Let t = 7 - l. Is -1\/4 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 23. Let w be q(26). Suppose -w*y + 97 = -113. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 400468\/(-16)*(-7)\/(385\/50). Let a = m + -22749. Calculate the common denominator of a and -29\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -3*3) + -2. Suppose 0*h - h = 4. Let t be (-59 + -1)*h\/l. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 1. Let s(q) = 3*q + 6. Let t be s(-3). Let i be y - 0 - 4 - t. Let k(l) = 7*l - 1. Calculate k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -29 (b) -10137\/20 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (915500\/(-5))\/((-14289)\/1100 + 13). Round b to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + -1*(sqrt(63) + sqrt(63)*-1) + sqrt(63))*-2)\/(2*sqrt(729) + (sqrt(225) - sqrt(225)*-2)).\nAnswer: -4*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11131 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 1222316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqhp when four letters picked without replacement from qqqqqphqqhqqqp?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3)*-2)**2 + (2 + sqrt(75) + sqrt(75))**2 + sqrt(75) + sqrt(3) + sqrt(3) - (-1 + sqrt(192) + -1 + sqrt(3) + -5)**2.\nAnswer: 60 + 173*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -14. Which is smaller: v or 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -13 - 10 + 0 - 16 + 59 + q. Determine t(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007251713 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.8541 + -0.0541. Let k = w + -14.79998962. Round k to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/m**(-10))**(-1\/33) assuming m is positive.\nAnswer: m**(-17\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28498838 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 392 = -364 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -85*j + 29. Is w(-7) a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 + 15 = 0. Let v = 4 + i. Let p be (-4)\/22 + 46\/v. Solve 0 = -o + 3, 6*o - p*o - 5 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55, -106, -70, 0.4?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-10))\/((-1)\/5). Let y be (1 - (3 - 1))\/c. Let u(r) be the first derivative of r**3 + 1. Calculate u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 + 3*v**5 + 103*v**4 + 2*v**2 - 3*v - 562 wrt v?\nAnswer: 120*v**3 + 180*v**2 + 2472*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 15 - (1 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*o + 4*y, 3*y - 680 + 662 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/7 - 3*d**2\/7 + 3*d\/7 + 1. Factor x(o).\nAnswer: 3*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 138595, 138554, 138507, 138454?\n\"Answer: -3*b**2 - 32*b + 138630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7209 is divided by 93?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3053*i**3 - 3053*i**3 - 62*i**5 + 3*i**5 - 4*i**5 - i**5 + (2 - 2 + i**2)*(-i**3 + 5*i**3 - 5*i**3).\nAnswer: -65*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 2*u, -3 = -w + 3*u - 4. Let h = -3 - -7. Let p be (h\/14)\/(w\/28). Calculate the greatest common divisor of 11 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 62016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*h + h. Suppose 4*m + 5*o = 75, 0*m - 3*m + 2*o + 85 = 0. Suppose 15 = -a + 5*a - l, 0 = 5*a + h*l - m. Solve 0 = 2*y - a + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1857?\nAnswer: -1\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = 7 + 77. What is the nearest to -1 in -1\/7, 4, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 28 = -42. Let h be (n\/(-35))\/((-1)\/5). Let o(b) = -b - 2. Let m be o(-6). Sort h, m, 5.\nAnswer: h, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 83 (c) -3 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Let j(q) be the first derivative of q**i - 3 + 0 + 0*q**2 - 2*q**2. Let c(a) = -2*a**2. Calculate j(c(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-152)\/(-228))\/(2\/30). Solve v*l - 4*l = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2 and -2 + 2 + 0 + (-44)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -112*q + 11*q**3 + 11 - 21*q**2 + 71*q + 62*q - 4. Let a(i) = 65*i**3 - 125*i**2 + 125*i + 40. Let n(p) = 6*a(p) - 35*c(p). What is k in n(k) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*r**2 - 132*r - 136*r + 270*r)*(-2*r + 17*r + 2*r).\nAnswer: -697*r**3 + 34*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4742597.\nAnswer: 31, 59, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/151884 and 31\/506280.\nAnswer: 1518840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-635)\/(-200) + -1 and 69\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 183*b + 55\/6*b**3 + 0*b**5 - 1\/15*b**6 + 3\/2*b**2 + 0 + 4*b**4. Find the second derivative of y(r) wrt r.\nAnswer: -24*r**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3152980 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/((k\/(k**(-17)*k)*k*k)\/k))\/k)\/k**(-2\/7))**17 assuming k is positive.\nAnswer: k**(-1989\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) + -1 - sqrt(48)) + sqrt(3))*2)**2 + 3.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 1\/3, 4.8, -0.12?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 409330513 to the power of 1\/2, to the nearest integer?\nAnswer: 20232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1008 - 5 = 5*y, -2450 = -5*r - y. List the prime factors of r.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.023 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -1. Let x = -4317\/43370 - 2\/4337. Which is the closest to d? (a) 7 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4 + 10. Suppose r*z + 2*z + 92 = 0. Let c = z + 13. What is c rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*t - 6, -5*m + 4*t - 2*t - 6 = 0. Let y be ((-8)\/(-6))\/4 - m. Suppose 5*h - 12 = -3*v + 2*h, 5*h = 4*v + 2. Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*h + 1449 = 1258 - 3065. Which is the closest to h? (a) 3\/4 (b) 1\/6 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7252 at most -7252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 >= -211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 383061.72 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.19. Let o = g - 0.91. Which is the closest to -1? (a) o (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4 - 3) + -5 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-114)\/4*4\/6. Let p = m + 35. Solve 3*y + 18 = -2*v, 5*y - 2*v + p = 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53522916 divided by -1?\nAnswer: -53522916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 6. Let k(w) = -w**2 - w - 7. What is -4*k(b) - 5*s(b)?\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -20*j + 356. Calculate d(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*n - 4*o, 82 = 5*n - 2*o - 2*o. Suppose 20*z - n*z = 0. Suppose 3*y = -0*f - f - 580000, z = -4*y. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11754 + -5910. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 34 = -3*b + 4*o, 2*b = -3*o + 10. Calculate the greatest common divisor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -5, 1, -84?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 - 88. Suppose 0*k + h = 3*k. Suppose 0 = -419*x + 645 + 1349 - 737. Calculate the lowest common multiple of x and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 22. Let t = h + 7. Solve -4*q - 8 = 4*x, 4*x + 6*q = t*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/70 and -7\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18593328498 + 0.3.\nAnswer: 18593328498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 24 = 9*n. Let h = n + 17. Let v(c) = c**3 - 4*c**2 - 5*c - 2. Give v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 17. Let r = -5 + p. Calculate the remainder when 1 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 2:39 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 353*b**6\/15 - 1421*b**3\/6 - 824*b. Find the second derivative of r(a) wrt a.\nAnswer: 8472*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.97 + -3.1. Let w = p + 0.13. Let n = 4 + w. Which is the third smallest value? (a) 0.4 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 8*v - 10. Let l be o(-9). Let f = l + 2. Calculate the least common multiple of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -51*s. Let t(q) = -1708*q. Determine -168*n(j) + 5*t(j).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 11*c**2 - 16*c + 15. Let v be h(9). Suppose v + 597 = 5*f. What is the remainder when f is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53.2 - 0.05\nAnswer: 53.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*l**5 - 472*l**4 + 1312*l**3 + 1624*l**2 - 196*l = 0. Calculate l.\nAnswer: -1, 0, 1\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*z - 1803 + 1425 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4482 and 138?\nAnswer: 103086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*d + 140 + 94, 5*r = 3*d - 130. Calculate the remainder when d is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43941*p**3 - 15576*p**3 - 12809*p**3 - 15572*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 12. Let t = 109 + -104. Let o(z) = -26*z**2 + 11*z**2 + 8*z**2 + t*z**2. Give p(o(n)).\nAnswer: -2*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2346 - 190581.\nAnswer: -190581.2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -364716 (base 9) to base 15\nAnswer: -452c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663429?\nAnswer: 3, 13, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n - 5. Calculate l(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2911 and -1633.\nAnswer: -4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-38) + 6755\/4389*2160\/3600.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8364 = 49*s + 109*s - 1886 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + l)*(-1166 + 578 + 386) to h + z*l and give z.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*w + 99*c - 11*c + 208 + 276 = 0, -c - 5 = -0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 21981?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, 10 in decreasing order.\nAnswer: 10, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2242520 (base 6) to base 4.\nAnswer: 123333300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 35*m**2 + 105*m + 320. Let p be w(-32). What is the highest common factor of p and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -554?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aefqmqf. Give prob of picking 1 q and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121232\/7 + 126929512\/7329. Calculate the common denominator of l and 7\/78.\nAnswer: 27222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -136. What is the remainder when 271 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003045 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: Collect the terms in 62289 - 1125 + 5223 - r.\nAnswer: -r + 66387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0 - 1\/60*p**5 + 4*p**2 + 0*p**4 + 1\/6*p**3 + 0*p. Give x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*f - 21 = 91*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2 - 6*z - 7. What are the prime factors of d(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154, 275, 484, 781, 1166, 1639?\n\"Answer: 44*l**2 - 11*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m + 4 = 33*m - 4*y, -4*m + 31 = -3*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 5254.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*-5*(-2)\/50?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/18 and ((-24)\/(-1380))\/((-12)\/375)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754 - 400 = 93*s + 55 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-15))\/((-1)\/(70\/(-196))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/sqrt(9))**2 - (sqrt(21)\/sqrt(3) + -4).\nAnswer: -sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-18)\/(-60))*21\/(-70).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730259963.\nAnswer: 31, 79, 298187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/6)\/(7\/((-21)\/(-2))). Let h = -219\/86 + 2\/43. Is q bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416428?\nAnswer: 2, 13, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 - 20*d - 5*d**2 + 5*d**2)*(-129 + 250 + 709 + 298) in the form o*d**2 + k*d + y and give o.\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72664.25ug to nanograms.\nAnswer: 72664250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6187685 rounded to two decimal places?\nAnswer: 6.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g**2. Let l(f) = 253*f**2. Determine l(o(j)).\nAnswer: 111573*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230923.\nAnswer: 7, 11, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(-71*z**2 + 13*z**4 + 71*z**2).\nAnswer: 39*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/102 and 3\/374.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 - 11.84. Let p = 7 + n. Let w = 11 + -6. Sort p, 1, w in decreasing order.\nAnswer: w, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205\/4 - -51. Let h = -14 - -10. Sort j, 3, h.\nAnswer: h, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35244 by -33.\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*j - w, -7*j + 35 = -2*j - 5*w. What is the second derivative of 78*k**5 - 11*k - 30*k**j + 47*k wrt k?\nAnswer: 960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8297.5 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*c = -243*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let x(a) = 12*a - 11. Let i(s) = 2*s - 52. Let t be i(24). What is t*x(b) - 44*d(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {c: 1, g: 5, k: 11}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 8*b**2 + 8*b - 4. Let g be h(-9). Let s = g + -3. Let d = -49 + 49. Solve d = -s*m - 4 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:15 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/162514 and -7\/55?\nAnswer: 812570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2052)*-4)\/sqrt(3) + -2 + 1*(sqrt(19) - (sqrt(19) + (sqrt(19) - (sqrt(152) - (sqrt(152) - sqrt(152)*-1))\/sqrt(8))))*2)**2.\nAnswer: 112*sqrt(19) + 14900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + (1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -13. Solve 11*v + 24 + 9 = r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -58 in descending order.\nAnswer: -3, -8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*1.473.\nAnswer: -88.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60985 - -104436. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*r**2 - 7*r**2 + 3*r**3 + r**4 + 2*r**4 + 3 + r - 8*r**2 - 7*r**3 in the form u + s*r**4 + f*r**3 + m*r**2 + v*r and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = -3*h + 4010. Suppose -h = -4*m + 3093. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -85. Let m = h + -12. What is the smallest common multiple of 9 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391196957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 - -0.013\nAnswer: 25.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h. Let o(u) = u. Let g(s) = -3*s. Let k(y) = -2*g(y) - 5*o(y). Determine d(k(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*z**3 - 3738691941*z + 3738691941*z.\nAnswer: 141*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034434616 to 6 decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -5, -1, 0, -23 in descending order.\nAnswer: 11, 0, -1, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from zgykf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16880 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 - 4*d**2 - 4*d - 2. Calculate w(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -5, -11, -2, 3, -13 in increasing order.\nAnswer: -13, -11, -5, -2, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -704 - -1008. Let r be 1840\/25 + (-108)\/(-45). What is the highest common divisor of r and p?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 1192.\nAnswer: 8344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**5\/5 - 2*u**3\/3 - 2*u**2 + 88*u. Let r(v) = 9*v**3 + v**2 - 9*v - 9. Calculate -7*i(w) + 3*r(w).\nAnswer: -w**3 + 3*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s - 1. Let q be u(4). What is the nearest to 1\/3 in q, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*k - 8, -4*k + 7 = 5*o - 5*k. Let p(l) = -3*l**2 + 0*l + 4*l**2 - l. What is the lowest common multiple of p(2) and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343803 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0 + 4. Let q be 3\/(-6)*2 - -4. Let c = i + q. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14380.994502 + -14381. What is t rounded to 5 dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 92*f**3 + 962*f**2 + 2208*f + 1152.\nAnswer: 2*(f - 24)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8396 - -8482. Solve -33 = 17*w + b for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**6\/30 - n**5\/5 + n**4\/4 - 41*n. Factor b(k).\nAnswer: k**2*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -231132 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12735*c + 496310 + 576578 + 404372 = 0 for c.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**3 - 6*g**2 + 3*g. Let b(d) = 17*d**3 + 11*d**2 - 6*d. What is 6*b(o) + 11*h(o)?\nAnswer: 3*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:02 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 36 = 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 14, 3, -24, -73, -150?\n\"Answer: -m**3 + m**2 + 3*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-21)\/(g*g**(-5)*(g\/(g*g**(-2)*g*g)*g)\/g))\/((g**(-2\/27)\/g**(1\/2))\/(g**1\/g**(-1))) assuming g is positive.\nAnswer: g**(355\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 18, 18, 16, 12?\n\"Answer: -v**2 + 5*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 - 134 = 10*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 53 + -54 + 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 19. Put -4, -5, a in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/9 + 4*w**2\/3 + 2*w - 28\/9 = 0. What is w?\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 + 114*c**2 + 560*c + 2103. Calculate v(-52).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.32*1\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -559 + 7894 - (-34)\/(-2). Is p <= 7317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 2 + 2 + 2 + 3 - 2*n - 3 + (-1 + 0 - 1)*(-n + 4*n - 2*n) + 2 - 2 - 2*n to the form l + y*n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i + 8*i + 0*i + 5*i.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4356*o = -4360*o - 2*i + 16, 399*o - 397*o = i + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 8. Let c be s(6). Let r be ((-88)\/55)\/(c\/(-5)). Suppose 15 = r*u + u. Solve -q - 1 + u = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 6*z - 2. Let q be i(-5). Suppose 0 = -p - 5*w + 13, 2*p + 6*w = q*w + 26. Let r = p - 9. Solve -3 = r*j + x + 3, -j - 2*x = 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + c - 4 = -0*g, -6 = g + 2*c. Let y(o) = -2*o + 0*o + g + 3*o. What is the units digit of y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 29*w + 53. Let p be o(32). Let z = p + 110. Suppose 71*d - z*d - 1324 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 0. What is the remainder when (-27)\/(-2) - (-1)\/2 is divided by (-3)\/o*30\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -109.9590713305\nAnswer: -71.9590713305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/35*3 + 2479\/(-185).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - (-11 + -21)) + -2 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.012 in -2\/3, -4, 1\/3, 0.005?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 + 33 = 4*o, -3*o - 61 = -2*n. Let u be 64\/(-6)*(-12)\/8. What is the highest common divisor of n and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 27 = -2*r + 1037, 5*r - 2670 = 5*i. Let c = 59 - 56. Suppose -c*m - r = -5*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 + 1 - (1 - 4 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (234 + -194 - (1 - -2))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 0.195, 34.\nAnswer: 0.195, 34, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -17*i**2 + 11*i + 4. Let y be g(-6). Let x = y - -1048. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.2497 kilometers to nanometers.\nAnswer: 80249700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7637, 15329, 23021?\n\"Answer: 7692*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:15 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 13 = 3*g, -2*l - 842*g = -840*g + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, c: 5, l: 4}. Give prob of sequence zc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.3352 times 4?\nAnswer: -81.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-704)\/(-14) - (20\/(-14))\/(-5). Let o be t\/(-10) + 42\/8. Which is the fourth biggest value? (a) -2\/5 (b) 0.02 (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818460347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-5*(2 + (-27)\/15)). Solve -5*x - 4*z + 30 = -z, 5*x - 2*z = n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v. Let u(d) = 5*d**2 + 7*d + 7. Let z(s) = -2*s**2 - 3*s - 3. Let n(a) = 6*u(a) + 14*z(a). What is p(n(k))?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22808 + 12833. Let f = 329287\/33 + k. Let l = -30\/11 + f. Which is the second smallest value? (a) l (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:23 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/18 + (48\/27)\/(-8). Which is greater: 19 or r?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 679723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385544?\nAnswer: 2, 48193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**4 + 80*s**3\/3 + 234*s**2 + 648*s - 129. Factor v(z).\nAnswer: 4*(z + 2)*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119331447.\nAnswer: 29851, 70997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*n, -4*w + 932 - 196 = n. Calculate the remainder when 712 is divided by w.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0204 + 0.02?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*b**2 - 4964 - 4971 - 4959 + 14901.\nAnswer: -169*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 6*s - 4. Let a be p(-3). Put a, -2, -40, -3 in decreasing order.\nAnswer: -2, -3, a, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(8\/32)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5, 3*a - h - 3*h = -11999980. What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -4*w + a, -2*w + 8 = -5*a. Suppose 0*s - 816 = -4*s + w*r, -5*s - 3*r + 996 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.75 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/5352 - -12037\/5352. Let r(n) be the first derivative of 0*n**2 - c*n**4 + 0*n**3 + 22 - 32*n. What is the first derivative of r(y) wrt y?\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 661*p - 653. Let a be s(1). What is the highest common factor of 2104 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 + 41132733?\nAnswer: 41133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**2*m + 999822*h**2 - 14041*h*m + 3*h + 129*m wrt m.\nAnswer: -2*h**2 - 14041*h + 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 2. Let x be c(12). Let q(m) = -1 + 0*m - 8*m - 13. Let s be q(-13). What is the greatest common factor of x and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5233 - 1730 = -290*q + 867 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/506929 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2594265.02 - 32.18.\nAnswer: -2594297.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/203275 and -69\/200.\nAnswer: 1626200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**4 + 33*z**2 + 2 - 21*z**2 + 8*z**3 + 56*z**2 - z**3 - z - 6*z**3 in the form j*z + k*z**2 + m*z**3 + d + u*z**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -783 from -3114.96.\nAnswer: -2331.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-5 + 8)\/3. Is -1 + (b - -59) - (-8)\/(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 6)*(-4*z + 2*z + 0*z)*(5 - 1 - 2)*(4 + 0 - 3).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - a?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107 - -1?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {o: 3, t: 3, q: 6, r: 5}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 8. Let v = q - -9. Let g be 275\/99 - v\/18. Solve -20 = -7*z + g*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12024 + 3204?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1091\/2 + 547. Which is the nearest to -2? (a) -0.2 (b) p (c) 2\/11 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413038 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p - 11. Let d(t) = -7*t + 6. Let x(u) = -5*d(u) - 3*k(u). Let j(m) = -5*m + 4. Let o(v) = -5*j(v) + 6*x(v). Differentiate o(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -92*v - 196. Calculate w(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -643245 at most as big as -2572977\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 - n - 1. Let m(z) = -z**2 + 1. What is -m(d) - s(d)?\nAnswer: 4*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abx when three letters picked without replacement from uuauuuabuaxauxu.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1028, 2954, 5772, 9482?\nAnswer: 14084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 0, 3*v + 2*m + m = 36. Calculate the least common multiple of v and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -1431.\nAnswer: -1431.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-2*1 + -1*sqrt(125)*5)**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*v + i - 3, 2*i = 5*v - 112. Calculate the greatest common divisor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 6*g - 591412, -o - 692*g = -691*g - 147833. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 161198.93 rounded to the nearest 100?\nAnswer: 161200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4 + 4*b**4 + 3678*b**2 - 128*b**5 + 288517*b**3 - 288511*b**3 - 3*b**4 wrt b?\nAnswer: -7680*b**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y)*(-2 + 2 + 2*y**2)*(-70 + 29*y**2 + 70) + y**3 - y**3 + y**5.\nAnswer: 59*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467060 is divided by 155640?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 250071156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/(m*m*m\/(m*m*m**7)))\/(m\/((m*m**(-1))\/m)*m*m)**(-18) assuming m is positive.\nAnswer: m**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 544*m.\nAnswer: 2*m*(m - 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2613, -2591, -2553, -2499?\nAnswer: -2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**4 - 3*m**3 - 238*m**2 wrt m.\nAnswer: -144*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2173508 and 107\/5966.\nAnswer: 41296652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*t = -9, -3*t - 2*t = -2*r - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200 is divided by 670?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -54 + -4 + 61 - (1 - -55)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = -3*l + 191 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38265727 and 0.3.\nAnswer: -11479718.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3468?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12304, 0.06, -2.\nAnswer: -12304, -2, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -49479 and -49479 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/33 and -23\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - 85*q**2 - 290*q + 33. Give p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4430 (base 5) to base 4.\nAnswer: 21213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.22 (b) -62713 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -1389414973416?\nAnswer: -1389414973416.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*n + 5*c, -2 + 4 = -2*c. Suppose 4*q + 5*i = i + 20, 0 = 3*q + 5*i - n. What is the derivative of 20 - 6*w - 12*w + q*w wrt w?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006491751 to 7 dps.\nAnswer: 0.0000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363868 and 73712?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (-29 + (5 - -8) - -21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 3. Let v = 110 + -78. What is the remainder when v is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*l - 7*l + 13, 9 = 3*l - d. Suppose l*u - 2*q = 2*q - 52, 3*u = -q - 43. Let y be 2\/8 - (1 + (-4)\/u). Let p(x) = 23*x**2 + 2*x + 1. What is p(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293529*d**6 - 56*d**2 + 270*d - 4?\nAnswer: -35223480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175506973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1842*q - 53646 = -929*q + 2071*q - 17838 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Let b(y) = -y - 2. Let m(n) = 1. Let s(t) = b(t) + 3*m(t). Let i(a) = a - 6*a + 4 + 4*a - 2*a. Calculate x*i(d) + 4*s(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 2*j**2 + 1\/6*j**4 - 1\/105*j**7 - 1\/6*j**5 + 1\/15*j**6 + 0 + 0*j**3 + 0*j. Find b, given that s(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 + 7672*g - 7676 = 0. Calculate g.\nAnswer: -1919, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6\/49 (b) 0.1 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/10 + (-5 - 576\/(-40)). What is the highest common factor of h and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/((k*(k\/(k*k**(-3\/4)*k*k))\/k)\/k*k))\/(k\/(k\/(k\/((k*k**(-1))\/k))))**(-22) assuming k is positive.\nAnswer: k**(205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8370*g**3 + 3*g**2 + 4181*g**3 - 3*g**2 + 4185*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q + 4. Let z(a) = -6*a - 3. Let l(h) = 3*y(h) + 4*z(h). Let g(k) = 5*k. Give g(l(v)).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g - 22. Let d be r(4). Suppose 0 = -5*l + 3*x + 16, 0*l - l + d = -4*x. Suppose 3*a - o = l*o + 60, 0 = 5*a - 4*o - 96. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 2\/25, -0.4, -26, 5, 3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13433 is divided by 1139?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x - 1. Let d(l) = -4*l**3 + l**2 - l + 2. Give -d(r) - 3*s(r).\nAnswer: 4*r**3 + 2*r**2 + 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789757 is divided by 775.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53550 and 910350?\nAnswer: 910350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2738 divided by -2738\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*j + 69, -j = -5*a - 4*j + 115. Calculate the remainder when a + -2 + 2 + 1 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 348862561*o + 445513809 wrt o.\nAnswer: 348862561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i*i*i\/(i\/(i**(-1)\/i)))\/i)\/i)*i)**(-24))**25 assuming i is positive.\nAnswer: i**(-1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 528?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(2 - 1180\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 22*r**5\/3 - 5*r**4\/24 + 7*r**3\/3 + 65*r**2. Find the second derivative of u(w) wrt w.\nAnswer: 880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*w - 16, m + 5*w - 200 = -176 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uunn when four letters picked without replacement from unuuunn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14625*r**2 - 1650*r + 825. Let d(k) = 71*k**2 + 8*k - 4. Give 825*d(o) + 4*f(o).\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrm when three letters picked without replacement from {q: 1, s: 1, j: 1, r: 1, k: 1, m: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29539883 - -2?\nAnswer: -29539881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b937 (base 15) in base 10?\nAnswer: 89827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2. Let s(f) = 22*f. Determine s(d(t)).\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1585\/4 + 17207\/44. Let x = t - -366\/77. Sort x, -4, 0 in ascending order.\nAnswer: -4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/8 - (-7)\/(-28). Let r be (0 - -2)*x\/1. Suppose h = d - 4*d + 30, -2*h + 40 = 4*d. What is the greatest common divisor of r and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 7*l**2 + 5*l + 111. Let x(r) = -21*r - 7. What is 7*n(p) + 5*x(p)?\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5563958.\nAnswer: -5\/5563958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142033434 (base 6) in base 12?\nAnswer: b7887a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23 + (-3)\/(-1 + 4). Suppose -2*b = -92 + c. Suppose -1 - b = -3*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**2 + 16*l + 38. Is o(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/21))**(8\/7)\/(y**(4\/9)*(y\/y**16*y)\/y))**(31\/2) assuming y is positive.\nAnswer: y**(198245\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 37 - 69. Let m(d) = -f - 2 - d + 17 - d**2 + d**3. Let y(i) = 3*i**3 - 5*i**2 - i - 4. Calculate 4*m(v) - y(v).\nAnswer: v**3 + v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f + 1605. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 5773?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317400599 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 7094.\nAnswer: 42564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 388\/40 + 134\/180 + 248\/(-558)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -45*v**2 + 6*v - 14. Let n(x) = 136*x**2 - 17*x + 40. Calculate 17*l(t) + 6*n(t).\nAnswer: 51*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45070387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 15311*s + 13397126. What is o(-875)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, 0.04, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 2*q - 1. Let f be 3\/(-6) - (-2)\/(-4). Let u be k(f). Suppose 3*h + 7 - 34 = u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 - 68682*g**2\/7.\nAnswer: g**2*(g - 68682)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -31.475.\nAnswer: -31.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c + 124 = 6*d + 59*c, 77 = d - 4*c. Let q be (-1*1)\/((-1)\/(-4)). Sort -0.2, d, -2, q.\nAnswer: q, -2, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41642?\nAnswer: 2, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*f - 3*f. Let j = f - 4. Does 3 divide j\/1 + (-98)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 112 = 28*b. Let s be (-7)\/b*8\/6. Sort 2, -1\/2, 0.5, s in decreasing order.\nAnswer: 2, s, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59.47 - 3.03. Let r = i + 62.9. What is the smallest value in r, -2, -5\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1148 and 137\/189360.\nAnswer: 54346320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q - q**2 + 38*q - 18*q. Let j(b) = 111*b. Give j(c(u)).\nAnswer: -111*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = f. Let x be f\/3*(-150)\/(-20). Let j(i) = -2 - 6*i + 4 - x. Determine j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = 4*n - 5, 0 = -n + 3*z - 8. Suppose 3*d = n + 5. Suppose 2*k - 9 = -1. Sort k, -0.4, d in decreasing order.\nAnswer: k, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/2 - 79*g**3\/15 - 104*g**2\/5 - 4*g - 1151. Factor f(l).\nAnswer: (l - 10)*(l + 2)*(10*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/336 and -65\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 582260 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2*w**5\/45 - 4*w**4\/9 - 4*w**3\/9 + 8*w**2\/9 + 14*w\/9 + 34. What is v in x(v) = 0?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -197.6719 - 0.9841. Let n = -207.6 - l. Let c = -9 - n. Round c to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/785 and (459\/(-45))\/((-4)\/5)?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f**(-4\/5)\/f))**26 assuming f is positive.\nAnswer: f**(624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*b + 36, b - t + 18 = 3*t. Let w(u) = u**3 + 7*u**2 + 4*u - 6. Let p(l) = l**2 + 9*l + 26. What is the lowest common multiple of w(b) and p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25720*m + 25733*m + 91 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*a - 1695 = -1815, -6*a - 24 = 0 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.2618 - 0.1168. Let t = l + -0.245. Round t to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -468 + 19a7a6?\nAnswer: 19a339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/90 and -139\/3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)\/(y\/(y\/y**(-20))) assuming y is positive.\nAnswer: y**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 287?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 185. Let n(h) = -3*h + 274. Let o(f) = 5*n(f) + 8*z(f). Let x(c) = -2*c**2. What is x(o(u))?\nAnswer: -2*u**2 + 440*u - 24200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 - 11*y + 5. Let n(d) = -2*d**2 + 2*d - 1. Let m = -2 - -2. Suppose m = -k - 2 - 0. Calculate k*g(p) - 11*n(p).\nAnswer: -2*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 2. Let y = -6.7 - -7. Let t = 0.2 - y. Which is the nearest to -1\/4? (a) 2\/13 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 - (9 + (6 + 15 - 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -335, -1.19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -5*z**3\/3 + 52. Let f be (3\/(-2))\/((-6)\/8). Let q(b) = -b + b + 0*b**2 - 2*b**f. Give a(q(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - -73)\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.00816 and 3.\nAnswer: -6.02448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0059 - 11225.\nAnswer: -11224.9941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*v**3 - 1 + 118*v**3 - 11*v**3.\nAnswer: 210*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5\/4 + 90*j**4 + 2700*j**3.\nAnswer: 3*j**3*(j + 60)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-1 + -4 + sqrt(1331) + sqrt(1331) + (sqrt(1331) - (sqrt(1331) + -1)) + 1)**2.\nAnswer: -44*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -293115476759 and -0.06.\nAnswer: -293115476759.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 637*n + 639*n + 44 = 0, 0 = -5*m + 6*n + 104. Let q be (-2)\/5 - (-24)\/10. Put m, q, -1 in descending order.\nAnswer: m, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g + 1. Let b be s(-1). Let r be 2\/8 - 44\/(-16). Let z be (-4 + 3)\/((-5)\/r). Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 229 + 5*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 452686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 53) + (-4)\/(-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3924826770890 + -5\nAnswer: 3924826770885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58708021 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48\/7 + 50\/7. Let n = 392.7 - 393. What is the nearest to 0 in p, n, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 59*i**2. Let t(k) = -20*k + 1. Calculate t(m(g)).\nAnswer: -1180*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -16\/4462245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose -s*f + 0*f = -18. Solve -3*g - 5*x = 6, g - 12 = 5*x + f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 1, v: 1, c: 1, g: 1}. Give prob of sequence fsgc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-44)\/(-6)*(-9)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183 or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 608\/(-38)*1\/(-2)*(-9)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25246.96 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(0 + 3 + -2). Let h = 311 - 117. Is (0 + h)*n\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586744 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -97, -704, -1765, -3280?\n\"Answer: -227*p**2 + 74*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/((22\/(-120))\/(71 + (-16830)\/220))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6846*o**2\/5 - 6842*o\/5 + 4\/5 = 0. What is o?\nAnswer: -1, 2\/3423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*h + 2*g, -101*g = -2*h - 97*g + 20. Let q(v) be the third derivative of -v**5\/60 - v**4\/24 - 23*v**3\/6 - v**2. Calculate q(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10292 - 95?\nAnswer: 10197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 5 + 1 - 2*w**2 - 13*w + 7. Let p be y(9). Let z = -26 - p. Sort 1, -2, z in ascending order.\nAnswer: z, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from kgkkkggkkkgkkgkgkkg?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -73*j + 7. Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -288*a**3 - 9790*a**2 + 73*a + 167. Determine m(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2321, -1, 4, -57 in decreasing order.\nAnswer: 2321, 4, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.258898391 rounded to 4 decimal places?\nAnswer: 0.2589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 115*z - 1223. Let l be p(37). Solve -298 + l = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 2*r + 4. Suppose 5*x - 5 = -0. Let a be x + 1 + -4 + -2. Calculate the lowest common multiple of q(a) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-13) - 94\/(-611)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3424*c. Let w(q) = -262*q**2 - 7. Calculate j(w(z)).\nAnswer: 897088*z**2 + 23968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36736 is divided by 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 269245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2070 divided by 6.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46020 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - ((-3 - 1) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*n**3*y**3 + n**3*y**2 - 2*n**3 + n*y**3 - 2*n - 124*y wrt y.\nAnswer: -258*n**3*y + 2*n**3 + 6*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q - 14*q - 93 - 15*q + 5*q + 43*q to f*q + x and give x.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 3 - -9 - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/358400447 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (5 - 4)) + 1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7896 or 7844?\nAnswer: 7844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6771 - -9880. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -19*u + 2. Let d(p) = 30*p**2 + 1. What is the tens digit of d(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(1\/(-2)*4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = g - 36. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/(3 - (-32)\/(-12)). List the prime factors of g + -3 - 1881\/(-19).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-352*j**3 - 122*j**3 - 102*j**2 + 102*j**2)*(-2 + 3*j + 2).\nAnswer: -1422*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27.7425, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-1)\/(-18)). Let a be (3 - (-1 - -4))\/2. Let h be (9 - a)*(-4 + 5). What is the highest common factor of c and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**3. Let b = -13 - 2. Let q(t) = -t - 5. Let k be q(-7). Let l(u) = -8*u**3 - 2 + k - 19*u**3. Determine b*c(z) + 4*l(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3286, 2, -2, 1, 3, 160 in ascending order.\nAnswer: -3286, -2, 1, 2, 3, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-17)*-24)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**2 - 3*p + 3*p)*(0*p + 0*p + p**2) + 159*p**4 - 14 + 6 + 9 to y*p**3 + b + f*p**4 + o*p + u*p**2 and give f.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*v**2 + 3*d*v + 2*d + 142*v**2 + 2502 wrt v.\nAnswer: 4*d*v + 3*d + 284*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96033*k + 413*k**4 - 96033*k)*(-3 + 5 - 1).\nAnswer: 413*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1933*-12488\nAnswer: 24139304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -704545.2 to the nearest 10000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -458892 by 6.\nAnswer: -76482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -3*s**4\/4 + 4*s**3\/3 - 3*s**2\/2 - 12. Calculate i(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178.75 + 177. Let s = 0.25 - w. Let a = 20\/11 + -282\/143. What is the closest to -1\/2 in s, a, 4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10817764 divided by -23.\nAnswer: -10817764\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42450.35 litres in millilitres?\nAnswer: 42450350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331 - -331.00000271. What is x rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3041 (base 5) to base 14\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = p - 6*p. Let a(i) = i**3 - 7*i**2 + 2*i - 6. What is the remainder when p is divided by a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - z + 115. Let q be b(0). Calculate the greatest common divisor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:13 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22424\/1539 != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/21))\/h**(-3\/7)*(h*h**(-8))\/h**(1\/2) assuming h is positive.\nAnswer: h**(-251\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -37*p**2. Let j(d) = d**2 + 19*d + 2. Let s be j(5). Let b(t) = -250*t + s*t - t**2 + 128*t. What is b(a(q))?\nAnswer: -1369*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32212, -63291, -94370, -125449, -156528?\n\"Answer: -31079*h - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112833, -1112850, -1112867, -1112884, -1112901?\nAnswer: -1112918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llilullllllr. What is prob of sequence ui?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:46 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Suppose -p*y - 11 + 41 = 0. What is the least common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 190 = -87. Let s(r) = 5*r**3 - r**2 + r - 1. Let f be s(1). Suppose a = l + 2*l - f*w, -2*l - 5*w = -177. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 14*i**2 - 9*i - 2. Let y be l(7). Suppose 5*b + 1288 = -2*f, 40 = -2*b - 4*f - 488. Let w = y - b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 49. Let s(t) = -2*t**2 + 10*t - 6. Let w be s(g). Is -1\/3 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 414017*z - 8694406\/3.\nAnswer: (z - 1242058)*(z + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q + 676. Give k(52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -750601\/7 >= -107229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2789, 3663, 5111, 7127, 9705?\n\"Answer: -u**3 + 293*u**2 + 2*u + 2495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8180*k - 1341561. What is z(164)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2006172001 to the nearest integer?\nAnswer: 44790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t**2 + 2*t + 1. Let s be i(2). Let m = s - -80. List the prime factors of m.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48858247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 26900 = -0*n. What is n rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 14\/57 (b) 0.2 (c) 0.5 (d) -1\/2 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 + -152. What is the greatest common factor of 594 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k - 6*k + 21*k + 6*k - 10*k. Let r(f) = -6*f - 5*f + 3*f. Determine r(q(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 54 - 156 = 0. Which is smaller: y or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64570.3 litres?\nAnswer: 64570300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 41, 36, 39, 56, 93?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*p - 13. Is (p + -4)*(-74)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3187 + 3045.3. Let y = -136 - f. What is y rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1782 divided by 3\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -45673, 0.4, 7\/5, 3\/17 in descending order.\nAnswer: 7\/5, 0.4, 3\/17, -45673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 27*u + 49. What is p(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-90))\/(14\/(-6))*(-14)\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35602 + -2?\nAnswer: 35600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, -5, -26 in increasing order.\nAnswer: -26, -5, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 12 = -6*d. Let w(x) = -x**3 + 7*x**2 + 5*x - 5. What is the least common multiple of w(5) and d\/10*(-100)\/10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 + 148092*l = 0?\nAnswer: -37023, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197026 is divided by 349?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 10) in base 6?\nAnswer: -114451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*j - 340, 80 = -4*g + j + 362. What is the smallest common multiple of g and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1184, -2\/3, 2\/7, 4, 1\/5 in decreasing order.\nAnswer: 4, 2\/7, 1\/5, -2\/3, -5, -1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.2 (b) -1\/2 (c) -2\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 83. Let i = -31 - s. Solve 0*m - m - 2*q + i = 0, 13 = -m + 3*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1890409326 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1770\/71 - -20484\/497. Let 0 - a*c**2 + 36\/7*c - 10\/7*c**4 + 64\/7*c**3 = 0. Calculate c.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/13)\/k)\/k)**(-7\/8))**(2\/129) assuming k is positive.\nAnswer: k**(49\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*z = 390. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((58\/6)\/(-29))\/((-3)\/((-396)\/8))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20413691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + c**3 - c**3 + (-3*c + 0*c + 0*c)*(9*c - 9*c - 6*c**2).\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -14, -1, -1.247?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (-6*(sqrt(252) - sqrt(252)*2) + sqrt(252) + sqrt(252))**2 + sqrt(252) + (sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(252)\/sqrt(4).\nAnswer: 16*sqrt(7) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -52)\/3 + 1. Suppose 4*i + c - g = -c, 2*i = 3*c + 13. Let k(r) = r**2 - 2*r + 1. What is the units digit of k(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 18 = 2*f, -3*f - 11*k = -6*k - 67. Let p be 0*(f\/(-91) + (-9)\/26). Solve o + 3*g = 16, p*o + 32 = 4*o + 4*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 2\/209 (c) -57 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(2 - 15\/6). Suppose 5*t = -d + 66. Let k = 22 - t. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-8))\/((-6)\/8). Let l be (-500)\/1848 + u\/(-7). Let f = l - 25\/198. Which is the biggest value? (a) -4 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2980 divided by 585.\nAnswer: 596\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2911753, -5823503, -8735251, -11646997?\nAnswer: -14558741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1390, 2679, 3968, 5257?\n\"Answer: 1289*d + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 33 - 72 = 0. Suppose 7*y + 14 = -v. Calculate the common denominator of (-42)\/y + 21\/(-35) and -57\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 11*m + 4. Let d be (180\/105)\/(4\/28). Determine y(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86130 divided by 14355.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.800665691 rounded to 3 decimal places?\nAnswer: -6.801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4403\/1342 + -30\/61. What is the common denominator of w and -77\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15697 is divided by 239.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 8 = r, 12*r + 9986*c - 143 = 9987*c - 10 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/40 and 59\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32240 + -32095. Suppose -3*h = -4*h + 71. Suppose -74 = -5*k + h. Calculate the highest common factor of b and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 564, 1098, 1838?\nAnswer: 2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2513*j - 5171*j - 447*j.\nAnswer: -3105*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**2 - 48*z**2 - 38*z**2 - 5*z + 2*z**3 + 4*z.\nAnswer: 2*z**3 - 106*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2897763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/((a\/a**(2\/15))\/a))**(-9\/8) assuming a is positive.\nAnswer: a**(309\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33713742?\nAnswer: 2, 3, 5618957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015047149 rounded to six dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 27*n - 34. What is the remainder when 939 is divided by m(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8809679 millilitres in litres?\nAnswer: 0.0008809679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + -5 - -14) + (16 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1437 + -1091. Let m = 0 - -2. Suppose 5*c + m*j = 675, 3*c - 90 = 5*j + a. What is the remainder when c is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 19992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280611548?\nAnswer: 2, 7, 1187, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3120)\/728*147\/1365?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/(-110)*(-3)\/(-270)*16\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 145.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7413, -29994, -67651, -120384, -188193, -271078?\nAnswer: -369039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77186*k = -76704*k + 13014 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(51\/(969\/38))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 12, -100, -322, -690, -1240, -2008?\n\"Answer: -6*j**3 - j**2 + 7*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Suppose 2*n = -2*n + 16. Let h(z) = n*z + z + z. What is h(k(j))?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -123a3c7?\nAnswer: 123a3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23824 and 16956732?\nAnswer: 67826928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rijriaarrai. Give prob of sequence ra.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 11) to base 13.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 2, h: 1}. What is prob of sequence hb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 + 2\/(-12)*2. Suppose x = 5*m - 4*u - 794, -4*m + 3*u - 33 = -669. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1437*f + 35 = 1444*f. Let m(n) = n + 8. Let h be m(-6). Is h < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114 - 114 + 5*b**3 + 14*b**2 wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.53, 0, 4, -4\/3, 0.15, -17.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 2*p)*(-3*p**3 - 5 + 5) - 68*p**4 - 70*p**4 - 14*p**4.\nAnswer: -146*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 61050.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 35 + (7 + -15 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171778001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(484\/22)\/110*(-15)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -461.2 or -12918?\nAnswer: -461.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-460)\/(-2990))\/(1\/13). Suppose 4*x - 37 = 5*s, 0*s - s - 2 = x. Solve -b = -f + x*w, 4*f + 4 = 3*w - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 35924800?\nAnswer: 251473600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 1:52 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:31 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0487, -2\/15, -1\/4, -2477?\nAnswer: 0.0487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**5\/60 - 5*y**4\/24 - 12*y**2. Determine x, given that n(x) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220012 (base 3) to base 13\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57942 - 0.05?\nAnswer: 57941.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5496*c + 40737 = -387951 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -21. Suppose v*s - 5*s = 45. Let l = s - -13. Solve -l*n - 3 - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x + 6. Let d = x + 11. Let z = 1 + d. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*o + 8. Suppose 50 + 14 = o*c. Suppose h + c = 5*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**3 - 62*s**2 + 32*s + 6. Let p be l(17). Let t = -1686563\/36 - p. What is the common denominator of t and 77\/102?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7841\/((20\/50)\/((-8)\/(-10)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + 4*d**2 + 0*d**2)*(-4*d + 0 + 0) - 139*d**3 + 195*d**3 + d - d to s + h*d**2 + c*d + n*d**3 and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/5*6\/(60\/250). Suppose -l = -5*x + 25. Solve -q + 3*j - 16 = 0, 3*q - 3 = -5*j + x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 94 + 32 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l - 8745 - 3015. What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75640817?\nAnswer: 7, 10805831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 25*f**2 + 64*f + 130. Let g be n(22). What is the highest common factor of g and 3870?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19932*v**2 + 2*v + 18956?\nAnswer: -39864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 28 = 3*u. Let y = 6 - 1. Calculate the lowest common multiple of u and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbj. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 6 = -2*m, -57*s + 59*s - m - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 50*b + 58. Give r(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48722, -48723, -48724, -48725, -48726?\n\"Answer: -r - 48721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - 3*b - 4. Let t be -1*(-1 - -5) - -1. Let w be d(t). Let j be 1 - (w + (1 - 1)). What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329*u**2 + 1828*u**2 + 4484*u**2.\nAnswer: 4983*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o - 5*o + 2 + 3*o + 13*o**3 + 4*o - 4*o to the form x + c*o**3 + l*o + j*o**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**4*n**2 - 79*d**4*n + 2*d - 141*n**2 + 3*n - 2 with respect to d.\nAnswer: 12*d**3*n**2 - 316*d**3*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010011 (base 2) in base 9?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9795159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 645*f - 636. Let s be v(-1). Let g(y) = -y**3 + 5*y**2 + 4. Let o be g(5). Solve c - 2 = -2*i - 1, 4*i - s = -o*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26574 is divided by 538.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*q - 80*q = -56. Which is smaller: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - 18 - (-1 - 2). Which is the biggest value? (a) 4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f + 150. Let n be f\/30 - (-4)\/(-6). Find the first derivative of -1 - 2*g**3 + 0 + 5 + n wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + -11.1. Let y = 2132.91 + -2133. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7215140000 rounded to the nearest one million?\nAnswer: 7215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927 + 313 + 446*i**2 + 307 + 429*i**2 - 877*i**2 + 307.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 58. Let r be y(-12). Let z(u) = -2*u**3 - 4*u**2 - u + 3. Determine z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.4. Let v = 5.6 - p. Let t = 6 - v. Which is the smallest value? (a) 0 (b) t (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713 = -2*y - 289. Let v = -202 - y. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 51 + 77)*(-2*b + 0*b + 3*b).\nAnswer: 85*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*w + 11, -2*w - 1 = -4*r + 9. Put 2.3, r, 5 in decreasing order.\nAnswer: 5, r, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1078 + 1793 = 65*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 1609\nAnswer: 48\/1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2 + 2*q**2 - q**2 + 3*q**2. Let x(s) = s. Calculate f(x(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58, -102, -150, -202, -258?\n\"Answer: -2*h**2 - 38*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 231 - -181. Let g = 414 - u. Solve -m + 2*q - 4 = 0, -4*q + 2 = -3*m - g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/2 + -2 + 75. Let x = c - 72. Solve 0 = 4*b + 4*u - 8, -2*b = 3*u - x*u + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*d - 343*x + 380*x, -8*d - 3*x = 88 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 287963, 287935, 287867, 287741, 287539?\n\"Answer: -3*d**3 - 2*d**2 - d + 287969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -276*j. Let u(k) = 401*k. Let g(m) = -5680*m. Let t(s) = 6*g(s) + 85*u(s). What is t(r(p))?\nAnswer: -1380*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.3 (b) -133 (c) -5 (d) -0.2 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 19*l**2. Let g(w) = -4*w - 5. Let o(c) = 3*c + 4. Let u(x) = -4*g(x) - 5*o(x). What is u(k(b))?\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*1*-3 + -4.\nAnswer: -15*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -2.4 (c) -5 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -2*d**2 - 1\/44*d**4 + 0*d**3 - 2\/165*d**5 + 0 - 9*d - 1\/660*d**6. Factor n(r).\nAnswer: -2*r*(r + 1)*(r + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8364078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -2 + (0 - -7) + (23 - 16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shg when three letters picked without replacement from jssjuhgu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6580697?\nAnswer: 6580697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 6:20 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13183152 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 24. Let n be (40\/(-12))\/((-4)\/w). Does 18 divide -2 + (n - (-2 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m + 148 - 160 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 13783.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/180 + 7*v**4\/12 + 8*v**3\/3 - 6*v**2. Let p(r) be the first derivative of m(r). What is the derivative of p(o) wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23345810, 93383250, 210112316, 373533008, 583645326, 840449270?\n\"Answer: 23345813*u**2 + u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76374 - 76374.00046943. What is a rounded to five dps?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 2 - 2 + 41*b.\nAnswer: 41*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 785 = 1. Is t a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 671\/4. Suppose 48 = 3*t + 5*h - h, 4*t = -4*h + 60. Let v be (-177)\/315 - -1 - t\/21. Sort 4, 5, v, p.\nAnswer: p, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 + 19*v**3 - 9*v**2 - 8*v**2.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 - 2*k + 1. Suppose -13 = 5*r - 3. Suppose v + t - 2*t - 20 = 0, -4*v = -5*t - 83. Calculate the remainder when a(r) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38703312553 minus -18334?\nAnswer: -38703294219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 13. Let j be i(7). Let l(h) = -2 + 1 + h**2 + h - 2*h. Let o = -8402 - -8397. Let z(k) = 5*k**3 + 6*k**2 - 5*k - 5. What is j*z(u) + o*l(u)?\nAnswer: 5*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q + 121*q + 7*q.\nAnswer: 155*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 13*p + 26*p + p**3.\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 - j + 35. Let g be y(5). Let s = g - -59. Let m(p) = -9*p - 51. What is the tens digit of m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 12*w + 8, -128*t = -123*t + 2*w - 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12152 (base 10) to base 8.\nAnswer: -27570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201310 (base 4) to base 6.\nAnswer: 221512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/30*4\/8*8. Which is greater: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 - -0.3. Let i = -2.49 - -0.49. What is the smallest value in q, i, -2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from {f: 3, b: 3, u: 3, w: 2, t: 3, x: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1351.2 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1454 and 84332?\nAnswer: 84332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -17. Let u = z - -18. Suppose 193 = u*t + 68. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**6\/5 - 5*z**3\/6 - z. What is the second derivative of r(v) wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -31. Does 15 divide -6*(2 + g\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*j*u + 190020*c*u - 3*c + 21513008*j*u wrt j.\nAnswer: c*u + 21513008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-4)\/(-11))*(-32)\/8. Let w = h + -152\/7. Which is the nearest to -0.5? (a) 0 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781449366?\nAnswer: 2, 3, 19, 6854819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -74246*r + 668210. What is t(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + d. Let f be k(4). Let u be 1\/((2\/f)\/1). Suppose c = 4*h + 4*c - 102, u*c - 28 = -h. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, y: 5, z: 1, f: 1, b: 1, g: 4}. Give prob of picking 2 q.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {g: 1, c: 2, o: 2, z: 4, y: 3, r: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 3*b + 1. Let i be o(4). Let j(u) be the second derivative of 0 + 1\/6*u**3 - 1\/2*u**2 + 4*u. What is j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 4*m + (2 - 3 + 2)*(-m - 2*m + 5*m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 476700 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 6:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -884 (b) -5 (c) 1\/3 (d) 3 (e) -0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6879?\nAnswer: 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0445 and 21616?\nAnswer: 961.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(6\/3 + -5). Let n(u) = -2*u**3 + 3*u + 2. Let v(g) = -4*g**3 + 7*g + 5. What is s*v(q) - 7*n(q)?\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -4*f**5\/5 - 3*f**4 - 4*f**3 - 2*f**2 - 1. Factor p(c).\nAnswer: -4*c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.99 - -0.01. Sort r, 0.3, 4 in descending order.\nAnswer: 4, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 84719131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/18867 or 0?\nAnswer: -4\/18867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8\/(-32)*(-10 - 13530)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 - 0.07. Let a = j - -0.05. Sort a, -3\/2, 0.\nAnswer: -3\/2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -23. Which is the second smallest value? (a) 1 (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.173 - 0.273. Which is the nearest to l? (a) -43 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3))**1\/(n**3*n*n*n**(-7)))**46)**(2\/11) assuming n is positive.\nAnswer: n**(736\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**9\/7560 + n**5\/30 + n**4\/12 + n. Let v(t) be the third derivative of p(t). Differentiate v(l) wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 16*b**2 + 13*b + 24. Give w(17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.992 + -0.008. Let z = v - -24. Let s = 8 - z. Which is the closest to -0.1? (a) -1 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1000101?\nAnswer: -1000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:53 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 3*w - 276, 5*h - 282 = w. Let y = -77 - -89. What is the remainder when h is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 + -10679\/60. Let s = j + 19\/60. Factor -s*x**2 + 2\/3*x + 0.\nAnswer: -x*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*q + 274*q = -8190 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1848 - 777. Suppose 9*i - j = 1206. Calculate the remainder when i is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1097.088l?\nAnswer: 1097088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -20.35. Let m = 0.25 - j. Which is the second smallest value? (a) -0.2 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/135*(-20 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -62, -88, -110, -128?\n\"Answer: 2*o**2 - 36*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/2 - 5*r**3\/2 - r**2 + 4*r = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*s + 28. Let z(f) = 5*f - 14 + 14 - s*f. Let p(o) be the third derivative of o**4\/12 - 2*o**2. What is z(p(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2046968 and 79\/930440.\nAnswer: 10234840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -170616, -341225, -511824, -682413, -852992, -1023561?\n\"Answer: 5*i**2 - 170624*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 20*r**2 + 31*r + 92. What is m(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 8 - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + 26\/10. Let q(i) = 11*i**2 - 38*i - 6. Let t(k) = 5*k**2 - 17*k - 3. Let u(p) = 4*q(p) - 9*t(p). Let h be u(a). Are h and -0.08 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 1376680*n**2 + 118315200900*n - 23718139380000.\nAnswer: 4*(n - 200)*(n + 172185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*t**2 - 63*t**2 - 19*t**2 - 34*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485694352 divided by -16?\nAnswer: -30355897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaaaaaiaaia. What is prob of picking 2 i?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770181771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798\/28*(-2)\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*f - 365*f + 176*f + 2*f**2 as a*f + h + q*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/30*10*270\/(-252)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -9*n**2 - n + 10 = 0.\nAnswer: -10\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95.9 - 101. Let h = i + 7.1. What is the closest to -0.1 in h, 3, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -6*a. Let r be (a - 9\/15)*-5. What is the tens digit of 2\/5*(-50)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 4 = 22*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*t**2 + 5*t**2 - 11*t**2 + (3*t**2 + 2*t**2 - 4*t**2)*(-2 + 2 + 1).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 + -0.1. Let o = q + -5.2. Let r = -1.2 - o. What is the closest to r in -0.5, -3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266595.133927 - -266595. What is s rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 3)*(22 + g - 80 - 11) to the form v + s*g and give v.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l - 202 + 16*l - 3557*l**3 + 202.\nAnswer: -3557*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, c: 5}. What is prob of sequence ccfc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 6*z + 8. Is 15\/7 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/360 + i**5\/40 + 3*i**4\/8 + 9*i**2. Let p(g) be the second derivative of a(g). Let r = -4 + 2. Determine p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0111553l to millilitres.\nAnswer: 11.1553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2024 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4 - 2205*u**3 - 45423*u**2 - 315903*u - 734706 = 0. What is u?\nAnswer: -714, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 16 - 5*w - 26)*(0 + 1 - 2) as k*w + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -496 (base 13) to base 11\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.15 and 2764.\nAnswer: 25290.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhnh when four letters picked without replacement from {n: 9, h: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -9\/188714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {l: 5, a: 8}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/5 - 31*c**3\/6 + 31*c**2. Differentiate k(a) with respect to a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3187*b - 1 + 3 + 3189*b to p + m*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13540 = -2*v + 22*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*x - 397 + 397 - 41*x + 20*x + 20*x + 0*x + x + x + (x + 0*x + x)*(-3 + 1 + 1) - 2*x - 2 + 2 in the form u*x + w and give u.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 26*d + 58. Calculate r(-8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 0.1. Let a = 0.23 + u. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -13011121332330?\nAnswer: 13011121332331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1829501667.\nAnswer: 3, 7, 37, 261619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82883 is divided by 212?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 154, 159, 164, 169?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 81*y + 409. Let p be r(-5). Solve -p*a - 6*a + 6*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f - 8*f - 3*f. Let a be x(-3). Suppose 2*r + 3*r + 4*c - 48 = 0, 4*r - c - a = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61440043 from 2250516.\nAnswer: -59189527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1872 - 1876. Put -1, 1, a, 49, -5 in ascending order.\nAnswer: -5, a, -1, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6125627 (base 8) in base 12?\nAnswer: -65b787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*r + 46 = 42, 2 = 2*i - 3*r. Let n = -9 + 4. Put 3, -3, i, n in decreasing order.\nAnswer: 3, i, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2996\/(-21) + 18\/(-3). Let x = c - -149. Find z, given that z**3 + 0 + x*z**4 + 1\/3*z + z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/75601 and -118 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjeezjeewuezwwez. What is prob of sequence zjue?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281 is divided by 1137.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*4\/40 - (-1)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149346266 to the power of 1\/3, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 767585 or 51428102\/67?\nAnswer: 767585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/5 (b) -0.3 (c) -4\/23 (d) 92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -76. Suppose 16*z + 40 = s*z. Suppose 0 = 18*q - 12*q + 42. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one halves of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7108101 divided by -215397.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 9*v + 9. Suppose 10 = 3*p - 11. Is j(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5362825213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 283 - 283.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319 - -319. Which is smaller: v or 2\/583?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 177449451.4\nAnswer: 177449455.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.35 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23486601 is divided by 1777?\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2907 and 349163.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140000 rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-20)*n)\/n)\/(n*n**6))\/(n**4)**42)**(2\/75) assuming n is positive.\nAnswer: n**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9295, -9294, -9293, -9292, -9291, -9290?\n\"Answer: d - 9296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 9*a**2 + 11*a + 9. Let y = 4 - -8. Let q be h(y). Suppose 3*r = 6*r - q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 5*m + (0 - 1 - 1)*(0*m - 5*m + m) as p + h*m and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -1. Let s be ((-25)\/10)\/(250\/200). What is the biggest value in s, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = 3*t - 7*t - 176. Calculate the highest common divisor of 3632 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2482224 divided by 12\nAnswer: -206852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865979.\nAnswer: 3, 207331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-6 - (4 + 5 + -4 + 1)) + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 5:12 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220484 is divided by 2911.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 8499*w - 8475*w - 8517*w + 25491*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/j**(-5))*j*j*j\/(((j*j**(-4))\/j*j)\/j))**41*j**1\/(j**2*j)*(j**(1\/4))**(5\/2) assuming j is positive.\nAnswer: j**(645\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(4\/(-4)))\/(-2). Suppose 5*v + 4*s = -0*v - 71, -v - 31 = 5*s. Let k = -7 - v. Solve k = -j - l*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25693 is divided by 12829?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/12 - r**3\/6 - 5*r**2\/2 + 27*r. Give t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**6\/3 + 80*m**3\/3 - 300*m**2 + m + 294. What is the second derivative of f(l) wrt l?\nAnswer: 40*l**3 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.1 - 14. What is the second smallest value in 4, 2\/11, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 169, 207, 235, 247?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -16*g - 5514. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 0.15. What is the closest to 1\/2 in -1, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812615278.\nAnswer: 2, 443, 917173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**5 - 135*m**4 - 277*m**3 + 14335*m**2 + 676*m?\nAnswer: 360*m**2 - 3240*m - 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(-729)*((-108)\/21)\/6.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9247581 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2\/7 + 1648*h - 8459760\/7 = 0.\nAnswer: -3490, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86517201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 769373 and 14927?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 724834295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b6ba + -1?\nAnswer: -3b6bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -17. Let k(u) = -3*u + 2. Let i(w) = 13*w - 37. Let l(b) = 16*b - 46. Let c(a) = -5*i(a) + 4*l(a). What is j*c(q) - k(q)?\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 83*y + 133*y - 360*y - 3 + 139*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - a**2 + 4*a**2 - 8*a**3 + 2*a + 1 + 0*a**2. Let q be d(-1). Suppose 0 = q*o - 17 - 19. Solve -3*x - 5*k + 11 = -k, -o*x = k - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*g - 78. Let v be 3\/(6\/4)*(-39)\/g. Let q(p) = p**3 + 5*p**2 + 3*p - 4. Let a be q(v). Put -19, -2, a in ascending order.\nAnswer: -19, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -114*v + 7896. Let t(y) = 178*y. Calculate the remainder when t(1) is divided by b(69).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*h - 1881 + 2133. Calculate the remainder when 965 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 8*f**2 + 9*f + 21. Let m be q(9). Let v be (-6)\/9 - -1*14\/m. Solve d = -5*h - 15, 2*d + 14 = -v*h - 2*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 1 + 5*q - q - 10. Is s(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21638*b**2 - 20339*b**2 - 72528*b**2.\nAnswer: -114505*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*1)*4*-4 + -4.\nAnswer: -16*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2820, 22731, 76822, 182199, 355968, 615235?\n\"Answer: 2851*o**3 - 16*o**2 + 2*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -9d8d391?\nAnswer: 9d8d391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -32*o - 2066. Let x be h(-65). Solve -11*i + x - 58 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 221*b**2 - b - 56120.\nAnswer: 442*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25 (b) 83 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 40*c - 63. Let o(n) = -237*n + 375. Give 25*g(b) + 4*o(b).\nAnswer: 52*b - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6\/59 (b) 0.3 (c) 4 (d) 3 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4030492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1342\/9 + -93823\/630. Calculate the common denominator of -25\/14 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 5*h - 1. Let p(t) = 3*t**3 - 2*t - 1. Let i be p(-1). Let z = i + 0. What is the units digit of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 43. Is (-6 - -3)\/l + 334 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109726 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -0*d. Suppose -d + 17 = 5*a. Suppose a*h + 2*v - 12 = -5, -h + 13 = -2*v. Put 2, -1, h in decreasing order.\nAnswer: h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*v = 71603, -4*k - 5*v + 46645 + 239701 = 0. What is k rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 + -5. Let m = 0 + p. Put -4, -1, m in descending order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2228 or 2224?\nAnswer: 2228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 7*f + 3. Let n = -135 - -130. Let v(j) = -3*j**2 + 5*j + 2. What is n*b(x) + 7*v(x)?\nAnswer: 4*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (120\/320)\/(6\/(-4)). What is the closest to 0.2 in 2\/41, j, 4, 1?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2401 + -556.3\nAnswer: -556.5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**4\/6 - 2*f**3 + 3*f**2\/2 - 5*f + 588. Calculate o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**7\/840 + 7*z**6\/360 + z**5\/20 - z**4\/8 - z**3\/6 + 4*z**2. Let h(d) be the first derivative of i(d). Determine h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-54\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 1:57 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 78.83*-0.02\nAnswer: -1.5766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4744434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5*o = -2*l + 17, 4*o + 24 = 2*l. List the prime factors of 29 + -25 + l*139.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 3*a + 4*a)*(0*a**2 + 0*a**2 + 2*a**3) + 6*a**4 - 3*a**4 + a**4.\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 1 - 1)*(2*d - 4*d + 0*d) - 19*d**3 - 75 - 29*d**3 + 74.\nAnswer: -46*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34479600 and 283200?\nAnswer: 137918400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + o**2 - o**2)*((o - 1 + 1)*(-111 + 111 + 318*o) - 23*o + 23*o + 13*o**2) as p + l*o + q*o**3 + y*o**4 + r*o**2 and give y.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*u**3 - 2*u + 2*u - 85*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -31 and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -25138*m - 5480045. Calculate g(-218).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88913 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-2)*(-2)\/20*-2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhi when four letters picked without replacement from pxkckkcchcxikci.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/12 + 58*i**2. Let q(j) = 19*j. Calculate r(q(p)).\nAnswer: 1805*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 + k - 4. Let g(t) = 13*t**2 - 3*t + 9. Let j be (20 - -2)*(-2)\/4. Let b(s) = j*v(s) - 6*g(s). Let d be b(4). Solve -i = d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21277052 is divided by 1895.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i - 6. Let o = -1 - i. Determine l so that 0*l**o - 3*l**4 + l**5 + 4*l**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21275 and 12037395?\nAnswer: 60186975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let d(m) be the second derivative of -2*m**3\/3 + 5*m**2\/2 + 2*m + 43. What is d(h(r))?\nAnswer: 8*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/14)\/(12\/(-21)). What is the nearest to -3 in -2, -5, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 1878, 6212, 14650, 28560?\nAnswer: 49310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13196352 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, 88, 267, 492, 757, 1056?\n\"Answer: -l**3 + 32*l**2 + 38*l - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220122111 (base 5) to base 13.\nAnswer: 26cab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/40*((-78)\/(-144) - (-152)\/(-456)).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - (104 - 41)) + -2 + -4 + 76?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.029 + -1.379. Let a = -0.65 + 1. Let z = a + y. Is 11 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15\/2, -4, 0.2, 436, -5?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**1\/o)\/o)\/o*o)**(-2\/15)\/((((o\/(o*o**(-12)*o))\/o*o)\/o*o)\/(o*o*(((o*o\/o**(-1\/8))\/o)\/o*o)\/o*o)) assuming o is positive.\nAnswer: o**(-961\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*c**3 + 46*c**3 - 199*c**3 + c**2 + 68*c**3 - c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -441a0f8 + 1?\nAnswer: -441a0f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-63)\/(-98))\/(6\/119) and 109\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574.9697 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 + 5*q**4 - 6*q**2 - 8*q**3 + 13*q**3 - 5*q**5 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 22. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10197129*k*y**2 + 30518*k + y**2 + 83 with respect to y.\nAnswer: -20394258*k*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5943\/(-56)*-2 - 2\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 10*y**2 + 3*y + 80. Give m(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 880 or 487750?\nAnswer: 487750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1413971 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -2\/91, 44 in ascending order.\nAnswer: -2\/91, 44, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -5*o**4\/12 + o**3\/3 - 217*o**2. Give k(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 7 + 132. Does 9 divide (1 - 2) + 3 - c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -9, -10, 4.\nAnswer: -10, -9, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 33, -2, -510, 3, 5.\nAnswer: -510, -6, -2, 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9, 144, 792, 2 in descending order.\nAnswer: 792, 144, 2, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(605) - (6*sqrt(605)*-2 + sqrt(605))) - (-5 + (sqrt(605) - -2*(sqrt(605) + 2))))**2 + -5.\nAnswer: 1518*sqrt(5) + 2880406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*u**2 + 426*u**2 - 839*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144765 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1760 + -1759.14. Let r = 13.1416 + -14. Let v = r + b. What is v rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99, 594, 1421, 2580?\n\"Answer: 166*v**2 - 3*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 780723 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {o: 2, l: 4, v: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxl when three letters picked without replacement from {l: 2, u: 2, k: 3, w: 4, x: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46913 (base 14) to base 12\nAnswer: 83599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - m - 6, -3*z = -3*m + 5 - 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 8*l**2 + 7*l - 5. Calculate a(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4 - 500*s**3 + 26454*s**2 - 140596*s - 1018160 = 0. What is s?\nAnswer: -4, 11, 65, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12118092 divided by -28?\nAnswer: 432789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6.903 times -0.7\nAnswer: 4.8321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**3 + 5*r**3 + 4*r**3 + 2*r**2 to the form m*r**3 + p*r + f + d*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/6 and -127\/9373296?\nAnswer: 9373296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321975161\/22 + -14630730. Let f = l + -4506. Find the common denominator of f and -115\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5297 - 2*a**3 - 5358 - 20*a**2 + 3*a**3 + 39*a. Let c be n(18). What is the nearest to -1\/4 in -0.4, c, 3, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 - 60. Let g be 2*(2 + -3 - r). Let h be 1\/(-3)*2 + g\/(-12). Solve t - h = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 + 274. Suppose -v*h + 7244 = 2644. List the prime factors of h.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -41. Let x = h + -6.9. Let l = 11.25 - 0.25. Is l at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 6. Let k(g) be the first derivative of -g - 127. Determine 3*k(d) + z(d).\nAnswer: 2*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7215087950.\nAnswer: 2, 5, 7, 97, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54430, 67915, 81400, 94885, 108370, 121855?\n\"Answer: 13485*t + 40945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239\/113359 or 1?\nAnswer: -239\/113359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43077 is divided by 1595?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*o - 59826 + 160220, c - 125492 = -5*o. Is 141 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from uuxgmxxgux?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*r**2 + 1 + 41*r**2 + r - r**3)*(-3 + 0 + 1).\nAnswer: 2*r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/97, -10 in descending order.\nAnswer: 5, 2\/97, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3*k**2 - 79811*c**3 - 3*k**2 + 268*k wrt k?\nAnswer: 2*c**3*k - 6*k + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1239 + 18*w**2 - 247*w**2 + 1245 - 10*w**4 - 2483 - 31*w**4 wrt w?\nAnswer: -984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 65, 76, 89?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242699 bigger than 242699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340501*t - 340501*t + 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.53 less than 0.02857755?\nAnswer: -2.50142245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by -4*2\/4*(-108)\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 + 5*k + 8. Let c(p) = -1 - 12*p**2 + 20*p**2 - p - 7*p**2 + 7*p**3 - 8*p**3. Calculate -6*c(y) - z(y).\nAnswer: 5*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*o - 26692 = -26718, -2*o = -12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.05 + -24.023. Is -2 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6606\/13 - 509. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 231\/8 + -59\/2. Is d < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9312 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 175*v**3 - 106 wrt v.\nAnswer: 525*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let q = -27 + 31. Suppose 2*p + q = -j, -2*j - 2*p = j. Suppose 0 = 3*d, j*l + l + 5*d = 12. Solve l*b - 4 = 4*m, 4*b - 4 = -5*m - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g**2 - 12 - 4*g**2 + 11*g**2 + g**2 in the form x + m*g + d*g**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/3195 + -9593\/12780. Which is smaller: -1610 or r?\nAnswer: -1610","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 11*t - 9. Let w(j) = j**2 + 6*j - 5. Give 3*k(i) - 5*w(i).\nAnswer: -2*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470338.06 rounded to the nearest one hundred?\nAnswer: 470300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/161? (a) -1 (b) 4 (c) -15 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 27 = -2*v, -52*t + 47*t - 19 = -4*v for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(171))**2 + (sqrt(171)*-4 - sqrt(19))**2 - (sqrt(76)\/(1*sqrt(256)))**2).\nAnswer: -650247\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7798765*a + 4*a**2 + 7798765*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -20*x - 560. Let g be (-144)\/(x\/(-7)) + -1 + -2. Solve -g = 5*t - 10*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634989499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175786\/148742*(-66 + 0).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.26, -2, 2\/19, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 7*u - 3 = 0. Suppose -2*h + 22 = -v, -38 = 4*v - u*h + 70. Calculate the common denominator of ((-636)\/v)\/(8\/10) and 77\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243297 = 5*a + 3*j, a + 0*j - 48681 = 3*j. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/35 and -5223\/73 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(288\/(-27))\/(-8) - -1. Put 8, 4, -41, o, -4 in decreasing order.\nAnswer: 8, 4, o, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/60 + o**3\/6 - o**2. Let a(p) = -4*p**2 - 3. Let z = 38920 + -38917. Determine z*u(k) + a(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124036 = -b + 5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -93*x - 1386. Let y be l(-15). Solve -y*d = 115 - 79 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27440.39 nanometers to millimeters.\nAnswer: 0.02744039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(2299) - ((sqrt(2299) - (1*sqrt(2299) + sqrt(2299)))*-6 + sqrt(2299))**2) + 4.\nAnswer: -112651 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -17414536.\nAnswer: -17414536.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 4\/3, -40, -14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144686246?\nAnswer: 2, 72343123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 5*u - 2*u)*(3 + 50 + 14).\nAnswer: 201*u - 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 2*v, 13 + 5 = -4*v + 5*k. Put -6, -5, 2, 12, v in decreasing order.\nAnswer: 12, v, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*v**2 + 161*v**3 - 192 - 3*v**2 + 26*v**2 wrt v?\nAnswer: 483*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/3 (c) -32 (d) -0.1 (e) -16 (f) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8 - 3) + 10 - -10) + -2 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, t: 1, f: 2, u: 2, z: 1}. What is prob of sequence zfpp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 24 = 4*l, 0 = 2*l + 4 - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(80)*5 + ((sqrt(80) - (0 + sqrt(80))) + 3)**2.\nAnswer: 9 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -69433523 to the nearest 100000.\nAnswer: -69400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Let c = f - 3. Do c and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**3\/2 - 81*v**2\/4 + 108*v + 758. What is o in p(o) = 0?\nAnswer: 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 5, a: 9, z: 2}. What is prob of picking 1 b and 1 m?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -8*f + 5*f. Solve f*v - 26 = -4*c + 3*v, 3 = c + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(198) - sqrt(198)*-2)\/sqrt(6))\/(sqrt(539)*1).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 8:51 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -0*w + 2*w, -w = -c + 4*w + 88 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z = 4*d + 22, -4*z + 4*d = -4. Suppose -o = v + 4*o + 10, 9 = -3*o. Let t = z + v. Calculate the lowest common multiple of 7 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-9 + -9) - (-7 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j. Let o(z) = -2*z**2 + 7*z - 4. Let u be o(4). Let w be (-22)\/u + (-2)\/(-8). Let c(r) = w - 3 + r. What is c(i(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + c + 673*c**2 + c.\nAnswer: 673*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1121?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48, 98, 146, 192, 236, 278, 318?\n\"Answer: -d**2 + 53*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*f - 6. Put 4, 3, 1, f in descending order.\nAnswer: 4, 3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**4\/12 - 3*h**3\/2 - 6*h**2. Let a be s(-7). Let g(z) = -z**3 + 6*z**2 - z - 5. Does 15 divide g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100403 is divided by 33425.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.3 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from okhoooh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l - 8. Let z(t) = 3*t - 11. Let p be z(6). Suppose 5 + 2 = -5*x + 3*q, 4*x - q = -p. Let s(j) = -3*j - 2. Give x*b(m) + 9*s(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Let g = 16 + -14. Sort 0, g, m in increasing order.\nAnswer: 0, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79.00000118 - 79. What is t rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1073*y - 1 + 39*y)*(y**3 + 0*y**3 + 0*y**3) to the form u*y**4 + t + w*y + g*y**3 + o*y**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 9 = 13. Suppose 2*s - 14 = -m*c, 0*c + 5*s - 27 = -c. Suppose -4*g + 5 = -15. Solve 3*x + 3*z = -z - 2, c*x + 6 = -g*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 3.5, 0.853 in increasing order.\nAnswer: -1.1, 0.853, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 39 = -3*o, 3*j + 4*o - 56 = -0*j. Suppose -w = -8 + j. Put -12, 2, w, -3 in increasing order.\nAnswer: -12, w, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -1 - 9\/(5 + 4). Which is smaller: x or 9\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 22. Calculate the least common multiple of d and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229948, 230059, 230188, 230335?\nAnswer: 230500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + s - 9 = 18, -3*s + 55 = -4*v. Let u(r) = r**2 + 20*r + 15. Determine u(v).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3472128*m**3*y**2 + m**2 - 229643*y**2 + 20 with respect to m.\nAnswer: 10416384*m**2*y**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1253, -2, -4, -5, 341 in increasing order.\nAnswer: -1253, -5, -4, -2, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 32*o - 34*o. Does 3 divide 960\/54 - o\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-31)*u*u*u*u)\/(u\/(u\/(u**20*u)*u)) assuming u is positive.\nAnswer: u**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/5 (b) 1 (c) -1\/6 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 3.1?\nAnswer: -3.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1, 4 in increasing order.\nAnswer: -1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 3*r + 3. Suppose 5*a + 4 + 6 = 0. Let f(j) = -10*j**2 + 10*j - 10. Let d(y) = a*f(y) - 7*x(y). Suppose b - 6 = -5. Give d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2\/19, -318, 2\/11 in ascending order.\nAnswer: -318, -45, -2\/19, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -0.3, 2\/225, 28?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/46*(-20)\/(-2)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u + 2. Let f(i) = -7*i - 2. Determine -3*f(c) - 2*z(c).\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - h + 1. Suppose 15*r + 44 + 16 = 0. Let a(q) = -6*q**2 - 5*q + 6. Let p(f) = r*n(f) + a(f). Suppose -10 + 1 = 3*o. What is p(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 79\/(-20)) + 434\/155\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(3*sqrt(243) - sqrt(27)))\/(sqrt(1089) + (sqrt(1089) + sqrt(1089)*1)*1 + sqrt(1089) + -1*sqrt(1089)*-2) + -1.\nAnswer: -1 + 8*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125.17689 * -5.\nAnswer: 625.88445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 287? (a) -17\/4 (b) 5 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/9*(-15)\/8. Let y = j + 13\/6. Which is the nearest to 0? (a) y (b) 3\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/5928 and 41\/312.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 2 + 5*z + 1. Suppose -i = 5*x, -2*x + i = 5*i. Determine r(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5090681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/4, -8\/13, -5, -12, 2.8 in ascending order.\nAnswer: -12, -5, -1, -8\/13, -1\/4, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/17)\/t)\/((t\/(t*t\/(t**30*t)*t))\/t))\/(t\/(((t\/t**9)\/t)\/t*t*t))**32 assuming t is positive.\nAnswer: t**(-5395\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -2*h. Let t(m) = m - 7. Let a(r) = 1. Let q(u) = -6*a(u) - t(u). Let k(l) = l**2 + 5*l - 4. What is h*q(v) + k(v)?\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.91 - 3.13. Let j = k - -0.04. Suppose 2 + 1 = 3*z. Which is the nearest to z? (a) 0.2 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, w: 5, k: 1, m: 3, v: 2}. What is prob of sequence mkv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 0.12357 in decreasing order.\nAnswer: 0.12357, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 367\/13, -3, 22, -5, -0.4, 1\/3 in descending order.\nAnswer: 367\/13, 22, 1\/3, -0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:07 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 163267 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-2)\/(-30))\/(26\/(-130)))\/((-1)\/273). Suppose 4*v - 22 = 2*v + p, 0 = -3*v + p + 35. What is the highest common factor of v and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = -0*z + 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 - -0.3. Let g = 107 - 104. Which is the smallest value? (a) -1 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/48 and 67\/168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*-1 - -179) + -1. Suppose 4*b = -4*g - i, -2*b + 2*g - 82 = -2*g. Let c = 24 - b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (156\/(-9))\/((-4)\/6). Let s = d + -16. What is the remainder when 28 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161\/8 + 7253\/360. Let v = i + -16\/45. What is the second biggest value in 1, v, -0.6, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, j: 7}. Give prob of picking 1 o and 3 j.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 6*a + 2. Suppose 12*w - 9*w = 5*g + 25, -3*g + 2*w - 16 = 0. Determine b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546318378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250443, 2, -4 in decreasing order.\nAnswer: 2, -4, -250443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/4 - o**4\/4 + 3*o**3\/2 + 7*o**2\/2 + 11*o\/4 + 3\/4.\nAnswer: -(o - 3)*(o + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/36)\/((54\/(-8))\/(-9)). Let k = -6.11 + 0.11. Let s = k - -6.1. What is the nearest to s in x, -2\/3, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5603 is divided by 97.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 1 (c) -2\/9 (d) 0.1 (e) 100.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 333001 (base 4) in base 16?\nAnswer: fc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10485577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -13*s**4\/6 + 3*s**2 + s. Let c(o) be the second derivative of -5*o**4\/12 + o**2\/2 + 50*o. Give 16*c(w) - 3*t(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.033255, -4\/3, 4\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let z(d) = -2*d**2 + 3*d + 3. Let l(i) = -i - 1. Let k(b) = -b**2 - 5*b + 6. Let y be k(-5). Let s(c) = y*l(c) + 2*z(c). Calculate s(r(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-16 - 3)*6. Let c be q\/(-80) + (6 - 2). Let i = c - -1\/20. Find the common denominator of 12\/11 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 391?\nAnswer: 5083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 5 + 0*c + 3. Let o(f) = -f - 2. Let s be (3\/(-9))\/((-3)\/(-18)). Give s*l(m) + 3*o(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18)*-3)\/((-11)\/165)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/393921 and -10\/83559.\nAnswer: 2757447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bttt when four letters picked without replacement from {b: 3, t: 15}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1095*q**4 - 2*q**3*w + 5*q**3 - 2*q**2 + 8*q*w - 37595*q wrt q.\nAnswer: -26280*q - 12*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 3:19 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240 - 245. Let t(g) = 2*g - 5. Let j be t(4). Which is the closest to 0.1? (a) j (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3423605 or 2?\nAnswer: -3423605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.46635169 take away -314748?\nAnswer: 314753.46635169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -54 + 106 - 51. Let h be (-86)\/(-78) + 2\/(-2). Is h greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*y - g, -25*y - 3*g = -20*y - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*f = 93 - 27, -2*k + 44 = 4*f. Let s be (-4)\/k + 546\/27. Solve 4*j + s = 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.5. Let d = 0.17 - -0.03. Which is the closest to -0.3? (a) -2 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000892604 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -2*u - 174, -91129*b + 91124*b - 4*u - 145 = 0 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l + 9*l - 2*w + 11, -3*l = 5*w - 31 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqchhccmcqch. Give prob of sequence qmc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6068 by 27.\nAnswer: 6068\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13618534.\nAnswer: 2, 113, 60259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.153 - 15433883?\nAnswer: -15433882.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36045695437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/35)\/(12\/(-294)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*y + 4*g, 0*g - 3*g + 11 = 2*y. Let u be 0 - (y + -3 + 2). Let k(l) = 5*l. Let r be k(1). Solve u*q = d - r*q - 1, 4*q = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 + 3 + -62 + 50?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 7*g**2 + 8*g + 3. Suppose -70 = 5*z + 20. What is the remainder when (-6)\/(2 - z\/(-8)) is divided by i(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s**3 + s**2 + s - 1. Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/3 + 259*p**4\/3 - 4439*p**3\/3 + 24473*p**2\/3 - 10520*p - 20244 = 0?\nAnswer: -1, 6, 7, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 641 by 630.\nAnswer: 641\/630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 21*m + 19. What is the remainder when (3 + 79)\/((-4)\/(-6)) is divided by w(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let a(q) = -421*q**2 + 405*q. What is b(a(r))?\nAnswer: -421*r**2 + 405*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 198*h**3*q - 13*h**3 - 3 wrt q?\nAnswer: 198*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + f. Suppose 4*h = -f*h + 340. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2041443 (base 5) to base 13\nAnswer: -12623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -22 + 0*y + 19 + 2*y. What is m(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -11.33, -5\/2, -2.23, -2?\nAnswer: -2.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -614288, -1229195, -1844102, -2459009, -3073916?\n\"Answer: -614907*v + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (0 + 7 + 29 + -26)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 - 91. Let -9*s + k*s + 21*s**4 - 17*s**4 - s**5 + 4*s**2 - 6*s**3 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1166\/9 - 8153\/63. What is r in -2\/7*r - f*r**4 + 0 + 3\/7*r**2 + 0*r**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p*p)\/p*p)**(-13)\/((p*p*p**17*p*p)\/p**(-6)) assuming p is positive.\nAnswer: p**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 3*q**3 + 3*q**3 + 5*q**3 - 2*q + 2*q + 2 - 2 - q**3 + (2*q**3 + 0*q**3 + 0*q**3)*(0 + 0 + 2).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -11567*f**4\/24 + 4247*f**3\/2 - 12327*f**2. What is the derivative of u(y) wrt y?\nAnswer: -11567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.7 - 10.4. Let v be ((-172)\/(-36) - 3) + -2. Which is the nearest to -1? (a) i (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1832 and 687.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(((-2)\/(-2))\/(-3)). Suppose -4*p = -4, -p + 2 + 1 = n. Solve 3*v = n*t, 2*t = m*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 20. What is the tens digit of ((-16)\/6)\/2*m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153028 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 241849080?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169422 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 9 = 0, -5*k + 5*l + 11 = -2*k + 59 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 174 = -g. Let l = g - -135. Calculate the smallest common multiple of 99\/7 - (6\/33 - 87\/2233) and l.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwfwakawaawakaa. Give prob of picking 1 w, 1 a, and 1 k.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let w = d - -3. Solve w*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/706 and 32\/4589?\nAnswer: 9178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*b + 28, -4*i + 55 = i + 5*b. Let u(z) = 0 + 5*z + 5 + 5 - 2 - 4. Let a(o) = -6*o - 5. Determine i*a(n) + 7*u(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5350, 19233, 42360, 74731, 116346?\nAnswer: 167205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 - (-95)\/(-20). Let b(t) = 2*t**2 + 4*t - 11. Let a be b(i). Suppose a*j - 7049 = -1714. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98809 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7542 = 14*o + 262. Suppose 5*p - o = 5*l, 213 = 2*p + l + 2*l. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 200, 119, -16, -205, -448?\n\"Answer: -27*d**2 + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**2*y**5 - 5*u**2*y**4 - 2*u**2*y + 1449 wrt y.\nAnswer: -20*u**2*y**3 - 60*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 506*60\nAnswer: 30360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37971*f**2 - 18061 wrt f?\nAnswer: 75942*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-a**4 - 2 + 2) - a + 3*a**4 + a + 3*a**4 - 5*a**4 + a**4 + (-4*a**3 - a**3 + 3*a**3)*(-2*a + 2*a + a).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -20*r + 23. Let a(l) be the first derivative of 7*l**2\/2 - 8*l + 1. Determine 17*a(n) + 6*s(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + (-3*sqrt(104) - sqrt(104) - sqrt(104)))\/sqrt(4) - (sqrt(26) + sqrt(2600))*-5)\/(-2*sqrt(50)*2*5))**2.\nAnswer: 33813\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 1. Let u(a) = 29*a + 56. Let c(i) = -14*i - 29. Let q(o) = 7*c(o) + 4*u(o). Determine 63*j(w) - 3*q(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301\/60 - -107\/20. Determine w so that j*w - 1\/3*w**3 + 0 + 0*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -32*c - 20*c + 52*c - 3*c**2. Let n(b) = 2*b**2 - 10. What is y(n(r))?\nAnswer: -12*r**4 + 120*r**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 2040648*o**2 - 12243834*o - 18365724.\nAnswer: -2*(o + 3)**2*(o + 1020318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgppppgpp. What is prob of picking 1 g and 1 p?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -86. Let s = 0.1 - 0. What is the closest to s in -4, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 528*f - 34848.\nAnswer: -2*(f + 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000704 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28346, 28343, 28328, 28295, 28238, 28151, 28028?\nAnswer: 27863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*s, -19*s - 486*k + 491*k = -44 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.1, 0.4, 0.4089?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27296?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**8\/42 + 7*z**6\/120 - z**5\/15 + 17*z**4\/8 - 137*z**2 + 3*z. What is the third derivative of x(a) wrt a?\nAnswer: 480*a**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 59563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 - 59c2?\nAnswer: -5a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**5 - 28*u**4 + u**3 - 183*u**2 + u. Let o(j) = j**5 - j**3 - j**2 - j. Let f(i) = -o(i) - p(i). What is the third derivative of f(r) wrt r?\nAnswer: 180*r**2 + 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3*c**5 + c**4\/6 + c**3\/6 - c**2 + 83*c. Calculate the remainder when i(1) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -77. Suppose -21 = -10*a + h. Solve 4*o + 6 = 3*n, -1 = a*n + 5*o - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*(k**2\/k)\/k*k)\/k))\/k**(-2\/15))\/(k\/k**(2\/9))**(2\/109) assuming k is positive.\nAnswer: k**(584\/4905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 21*h - 70. Let w be q(-3). Solve -w*f = 85 - 87, 5*z + 20 = 5*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + 5 + 1*(0 + sqrt(7)) - (-5 + sqrt(7) + -2 + 1*sqrt(567)).\nAnswer: -2*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -103. What is the greatest common factor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11099*x + 4*j = 11162*x - 1028, -3*x - j + 21 + 12 = 2*j for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 80, 0.4, 0.2, -0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2380*f**3 + 2*f**2 + 123*f wrt f?\nAnswer: -14280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/9, 1\/9, 747, -59, 0.3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/16 (b) -0.09 (c) -3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14884.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (1 + sqrt(192)))*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1606 - 1186. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159544*n = -159027*n + 73414 for n.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**5 + r**4 - r**4 + (2*r - 2*r + r)*(-3*r**4 + 5*r**4 + 0*r**4) + r**5 + r - r + 0*r**3 - r**5 + 0*r**3 + 0*r**5 - 3*r**5 + 2*r**5)*(1 - 1 - 3).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21288 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by -14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*l = -2238, -492 + 1238 = u + l. Suppose -3*t = 110 - u. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b88 - 150?\nAnswer: a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 6*q**2 - 9*q - 9. Determine o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**3 + 22*l**3 + 4*l - l**2 + l**4 - 13*l**3 - 2 - 2*l**4 as t + j*l + u*l**4 + y*l**3 + x*l**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose 65*z - 29*z - 72 = 0. Suppose 5 = f*d - 2*d + a, 0 = z*d - 5*a - 3. Solve 2*y - k = 3*k + 6, 0 = -d*y + 2*k + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 33*p**2 + 2. Let l be n(-33). Let g be 4\/(-6) + (-145)\/(-15). Suppose 5*a = -4*r, -a = -3*r + 2*r - g. Sort r, l, 4.\nAnswer: r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355875 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492806.7ns in hours?\nAnswer: 0.00000013689075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efzzfzzzzzffzz. Give prob of picking 1 e and 2 z.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*j = 9, 8*k - 28 = 39*j - 34*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -0.4 (c) 15\/62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6711, 3, 5, -53 in increasing order.\nAnswer: -53, 1, 3, 5, 6711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4106302?\nAnswer: 2, 1297, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - w + 511, 0 = w - 4 + 8. Let t = r - 47. What is the remainder when t is divided by (54 + -9)*4\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1000183\/33 + -30311. Calculate the common denominator of 64\/3 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3186\/(-21063)*(-102)\/(-9))\/((4\/(-210))\/1).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 2 + 2 + (0 + 5 + 0)*(-17 + 430*i + 15 - 377*i) to the form z*i + w and give z.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3 = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 20 = 5*x, -4*x + y + 12 + 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 0.00779281.\nAnswer: -2.99220719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757502 is divided by 505.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16242 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r + r**2 + 6*r**3 - 7*r wrt r.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122693933?\nAnswer: 122693933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476656 and 1024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 5324?\nAnswer: 5325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 3 - 2 + 1)*(-3*y + 0*y + y) in the form t + d*y + g*y**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 9*i - 4*i)*(13 - 11 - 12).\nAnswer: 110*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2313297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26580.\nAnswer: 2, 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 1.69264. What is v rounded to 4 dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -281, -550, -905, -1334, -1825?\nAnswer: -2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-16563)\/(-12))\/(52\/208)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 96.2. Which is the nearest to 2? (a) p (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -623 + 944. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 - 406 = 34*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0)*24580\/15. Suppose -6*o + 2*o = -z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*v + 0*v = 0, 5*x + 8 = 3*v. Let i be (12\/3)\/(x\/1). Let t(a) = -a + 6. Let h be t(10). Is h at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -b0b98bb?\nAnswer: b0b9907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/21 + 31848*h**2\/7 - 2959942*h\/21.\nAnswer: -2*h*(h - 47741)*(h - 31)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71.6 + -72.087. Let x = -51.913 + v. Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 6294*a**3 - 2908*a**3 + 27*a.\nAnswer: 3386*a**3 + 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 - 2894\/(-10). Let g = -154 + n. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 75*n**2 - 7*n - 2. Let d(r) = r**2 + 4*r + 3. Calculate d(v) + m(v).\nAnswer: 76*v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -122497?\nAnswer: 27\/122497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 129*d**2 + 231*d - 641. Let w be m(66). What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 3*b + 3. Let v(l) = 36*l**2 + 22*l + 22. Suppose -3*y = h + 35, 0 = 4*h - 4*y + 7*y + 167. Determine h*o(u) + 6*v(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*l = -110*l + 7*b - 41, -4*b = 2*l - 38 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 greater than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 36 (b) 15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3\/7, 0.4, -0.28, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/22)\/(36\/(-56))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and (-2150)\/(-135) + (-20)\/(-270)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -9.11 (c) -4830\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000493 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 672.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 91, 251, 527, 925, 1451, 2111?\n\"Answer: j**3 + 52*j**2 - 3*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 16. Let d(j) = 2*j - 6. Let q be d(o). Suppose -2*y + q + 58 = 0. Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 5:05 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*r + 56 = -20, 3*r - 9 - 176 = 6*o - 35 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(3\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -19\/5 and -0.1005 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:57 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1806 and -127\/90.\nAnswer: 27090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -464, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7870.\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from llbllllllblb.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 19. Let r = i + -8. Suppose 3*f = r*k - 3, -5*k = 2*f + 9 - 30. Solve -4*o - k*l + 11 = 0, 4*l - 16 = -5*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 22*v**2 + 5*v**2 + 14*v**2 - 5*v - 7. Is i(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4725*a*f**2*h + 18*a*f*h - a*h - 2*a - 59*f**2*h + 3*f*h - 2*f + 37*h wrt f.\nAnswer: -9450*a*h - 118*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28118 from 41945716.\nAnswer: 41973834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.114 (b) -0.1 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224779831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000246657 rounded to 6 dps?\nAnswer: -0.000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238 - -554. Suppose -4*y + 0*y = v. Let a = -17 - y. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11705 is divided by 1841?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19*i**3 + 2*i**2 - 18*i - 20. What is z(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (95\/266)\/((-21)\/(-28) + 3\/12)\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/7 - 0 - 165\/(-105). What are the prime factors of ((-228)\/15 - 1)\/(g\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -90*b**2 + 50*b**2 - 6*b - 6 + 58*b**2. What is the units digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5088, -5407, -5726, -6045, -6364, -6683?\nAnswer: -7002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585405 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + k - 941458 = -175375, 4*p = -k + 1021444. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 33334*j + 12. Let x(v) = -100002*v - 36. Let y(f) = -7*p(f) - 2*x(f). Let q be y(-18). What is q rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-18))\/(372470\/(-98595)).\nAnswer: 26\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49775 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9323 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/7 + 13\/21. Let a = -0.04 + 0.44. Sort n, a, -3.\nAnswer: -3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -610*n*r**2 + 9*n*r - 24*n + r**2 wrt r.\nAnswer: -1220*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -138 + 13?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuv when three letters picked without replacement from {e: 2, u: 4, v: 9, d: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 5*w**4\/4 - 5*w**2\/2 + 43. Determine k, given that i(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*m*p + c*n + c*p + 4*m*n*p + 3*m*n - 17*m + 470*n*p + 3 wrt p.\nAnswer: -c*m + c + 4*m*n + 470*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*(0 + -2). Let s be -2 + 5 - (h + 2). Suppose 2*v - 2 = s*k + 30, k = -5*v + 92. What is the greatest common divisor of v and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3922854000 rounded to the nearest one million?\nAnswer: -3923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 318 = -7*d. Suppose -d*a + 48*a = -10. Solve -4*n + 14 = -2*k + k, -2*n = a*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 819812*z**6 + 214*z**2 - 2*z + 730 wrt z.\nAnswer: 98377440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 35*h - 61*h + 111*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(-2*sqrt(8)*-1))\/(-1*(sqrt(2) - sqrt(2)*-2)*6).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m = -221*m - 33*m - 1148. Suppose 2*x = x. What is the closest to x in m, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x. Let d(o) = 5*o. Suppose -44 = -6*a + 2*a. What is a*d(p) - 6*t(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3918222 and 2612148.\nAnswer: 7836444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjcjjccjcjjcjcjcj. Give prob of picking 2 j and 1 c.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*j + i, 5*j + 33 = -86165*i + 86167*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8662*u - 11123*u - 10733*u + 672894 = 0 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:52 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0752478643 to 4 dps.\nAnswer: 0.0752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -409 - -422. What is the greatest common factor of k and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 0, -3*a + d + 10 = 2*d. Suppose 1 = -a*k + 6*k. Is k <= 2\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72\/5 - 6*a**2 - 2\/5*a**3 + 104\/5*a.\nAnswer: -2*(a - 2)*(a - 1)*(a + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3110.1 + 35.9\nAnswer: 3146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100233203 - -302331?\nAnswer: -33330212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*u**2 - 106*u**2 - 22 - 32*u + 22.\nAnswer: -10*u**2 - 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*r*t + j**3*t + 20*j**2*r + 5*j*r*t + 29*r*t wrt j.\nAnswer: 12*j*r*t + 6*j*t + 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -9, 26, 63, 102, 143, 186?\n\"Answer: u**2 + 30*u - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*q - 1121*q + 560*q - 44 + 8*q**3.\nAnswer: 8*q**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 5. Let r be (-1 + 2)*30\/6. Suppose -k = -2*k - r. What is v(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -582903\/200 - -11657\/4. What is the common denominator of (-6)\/(-16)*(-2490)\/(-540)*-12 and j?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/(2\/8). Suppose 0 = -o - t*o. Solve o = 5*p + 3 + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2205) + 1*sqrt(405))\/(sqrt(9) + 3*sqrt(144) + (sqrt(27)*2)\/sqrt(3)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31 - b**3 + 0*b**3 + 0*b**3 - 8 - b**4 wrt b?\nAnswer: -4*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6075 + -3?\nAnswer: -6078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -42, -45, -46, -45, -42?\n\"Answer: d**2 - 8*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10186000 to the nearest one hundred thousand.\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*p**3 + 1599*p**2 + 472*p + 679*p**2 - 253*p**2 + 107*p**2.\nAnswer: 4*p*(p + 59)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 597, -2, 7, 69.\nAnswer: -2, 7, 69, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -24 - (123 - 39 - -18)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3 + 2 - 12 + 17*v. Let l(s) = s**3 - 25*s**2 - 24*s - 47. Let w be l(26). List the prime factors of c(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/4446 and -31\/18?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 65 - 0. Suppose 0 = t - 3*s - 13, 5*t + s = 20 + d. Let m = 817 + -808. Calculate the smallest common multiple of t and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 25 = -c, 148*b - 20 = 152*b - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 2*q**2 - q + 5. Let r(l) = -l**3 + l**2 - l + 3. Suppose -34 = -4*c + 10. Let y(o) = c*r(o) - 6*k(o). Is y(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = -136. Suppose -5*f + d - 9 = 0. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1006 and 35\/8?\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 72*z**2 - 3*z + 268. Calculate j(72).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 27, 1, 7, 5.\nAnswer: 1, 5, 7, 27, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 - 3) - (-1 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1872\/(-96))\/((-12)\/8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1125)\/(-50) - ((-9)\/(-2))\/(-3). Calculate the greatest common factor of 4080 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4925 times -7\nAnswer: -34475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*f**3 - 40*f**3 + 12*f**3 - 2*f**4 + 3)*(-2 + 4*f + 2).\nAnswer: -8*f**5 + 4*f**4 + 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133067 and 9.\nAnswer: 1197603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 4. Let k be d(4). Let a(l) = -l**3 - 4*l**2 + 5*l - 3. Let p be a(-6). Suppose 0 = -k*o + 3*o - p. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 142, 172, 222, 298?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 73*n + 104. Let v be i(-10). Let l = 5636\/9 + v. Factor 4\/3*j - 2\/9*j**3 + 0 + l*j**2.\nAnswer: -2*j*(j - 3)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25032?\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 727332893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -20. Let w = -4 - -6. Suppose 5*s + 4*x = 9, 2*s - 3*s = w*x + 3. What is the lowest common multiple of t and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 3*w**3 + 0*w + 3*w + w**3 - w**2 - 2 as x*w**3 + j*w + b + s*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:43 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - 10 - 46 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29443*x - 29446*x + 126 = 0. Calculate the remainder when 74 + -1*0\/1 is divided by x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -222231?\nAnswer: -222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73c + -2?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 8) + 9 + -1 - -23.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111 - -1110?\nAnswer: 110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7773*k + 7771*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*m + 26, 0 = 3*k + 2*m - 9 - 7. Let z(d) = 3*d**3 + 3*d + 3. Let b be z(2). Suppose -k*o - b = -253. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15 + -3)\/(18\/(-24)). Let c(h) = h**3 - 23*h**2 - 25*h + 25. Let v be c(g). Differentiate 0 + 6*o + v + 17 - 4 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 0.32, -1 in descending order.\nAnswer: 4\/9, 0.32, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -124 + 128. Suppose 0 = u - 0*u - a*d - 297, -2*u + 606 = 4*d. What are the prime factors of u?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -46*i + 44*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**3 - 26*n**3 + 67*n**3 - 25*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2020 + 2011 = 3*r + 6*z, 5*r + 25*z = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*o = -11, 2*o + 1 = o. Suppose -m*v + 70 + 8 = 0. Suppose -329 = -5*n + 2*b, 2*n - 96 = -4*b + v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - -4*sqrt(70)*2)\/((sqrt(80) - sqrt(80)*4)\/sqrt(8)) - ((sqrt(448) - (sqrt(448) + -2)*-5) + sqrt(448) + -6*(1 + sqrt(448)))**2.\nAnswer: -704 + 253*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -651*(-57)\/(-285)*35\/(-49).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(63) - sqrt(7)) - (((sqrt(114) + sqrt(114) + sqrt(114)*-2 - sqrt(114)) + sqrt(114) - sqrt(114)) + sqrt(114))\/sqrt(6))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137, 206, 295, 404, 533, 682?\n\"Answer: 10*g**2 + 39*g + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4327.6 and 4.\nAnswer: 4331.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) -2\/9 (d) 1191\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 455\/105 + 1 + -6)*1650\/(-200)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3\/6 - 5*b**2\/2 - 439*b. Let s(v) = -11*v. Let r(g) = 5*g. Let x(t) = 13*r(t) + 6*s(t). Give l(x(h)).\nAnswer: -h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1 - 1 + 2*o**2. Let z(a) = -50*a + 12. Let y(c) = -140*c + 34. Let g(p) = 6*y(p) - 17*z(p). Calculate b(g(m)).\nAnswer: 200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3385900.84734 - -2\nAnswer: 3385902.84734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k - 0. Let h be k + 5 + 0 + 1. Suppose h*y + 3*x - 1082 = 4*y, -x - 4315 = -4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 973 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 204*v - 9627. Calculate w(-128).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + (-18 - (-4 - 15)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469289137?\nAnswer: 17683, 26539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 3, b: 4, j: 3}. Give prob of picking 1 h, 1 j, 1 b, and 1 l.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -0.5 (c) -147 (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose -5*h = -23 + 13. Suppose -y*i + 3*i - 3*v = 17, i + 3 = -h*v. Calculate the remainder when 34 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 * -38.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036292 divided by 8436?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (3 - (-102)\/(-2)). Let p = 97 - y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -t, w + 31*t = 30*t - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920 is divided by 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 251415 and 666?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujnofoouuo. What is prob of picking 1 n and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 = -18. Let f(k) = 5*k**2 + k + 100. Is 16 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/6 - 5*k\/2 + 8\/3.\nAnswer: -(k - 1)*(k + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p - 10 = 0. Suppose 72 = -0*j + 6*j. Let h = j - p. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.849 - -1.23. Let l = k + 0.019. Round l to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 27 - 3 = 0. Find the second derivative of -4*k - 9*k**3 + 7*k + 0*k**t wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -233633 or -233634?\nAnswer: -233633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/9)*t)*t)**(2\/31)\/(t**(1\/4)*t*t**1\/t) assuming t is positive.\nAnswer: t**(-1339\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from {y: 2, w: 2, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*d**4 - 2531*d wrt d.\nAnswer: 3936*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-46*(-22763)\/(-15249))\/((-6)\/9)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 901\/34*3*4\/240 and -5\/76.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -3, -0.1, 6\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 770 + -767. What is the lowest common multiple of 272 and k?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 286 + 128. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11133*c - 92244 + 316951 + 802062 = -231260 for c.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1601 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/9)\/((-4)\/(-18)). Suppose -3*q**2 + 3*q**2 - y*q**3 - 3*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*r + 0*r = -22, i + 22 = 2*r. Let y = -1 - i. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t = -45*t - 120 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*h - 5 = -176*h. Let q = 15 - 9. What is the lowest common multiple of q and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x. Suppose x = -2*c - 2*c - 20. Let j be (-48)\/14 - (-96)\/(-168). Put 0, c, j in decreasing order.\nAnswer: 0, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/7 + 17*o**2\/7 - 649*o\/7 - 95.\nAnswer: (o - 19)*(o + 1)*(o + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 7*v**3\/3 - 11*v**2\/2 + 29*v - 2. Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1600 and 7583892?\nAnswer: 3033556800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 - 40 - 29 - 38 + 107.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/2 - 16*d**3\/3 - 29*d**2\/2 - 13*d - 140. What are the prime factors of x(-9)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30900, -30906, -30914, -30924, -30936, -30950?\n\"Answer: -j**2 - 3*j - 30896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 309362 - 4638476\/15. Let x = v + -29959\/240. What is the common denominator of -53\/56 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2067 and 786?\nAnswer: 541554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11*((-455)\/(-10) + 3))\/(2\/4). Is r equal to -1067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let k(j) = -10*j. Suppose -4*t = 84 - 12. Let m be (-20)\/(-9) + 4\/t. Let r(v) = m*k(v) + 11*w(v). Let s(p) = 2*p**2. Give r(s(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-18054.\nAnswer: -1805.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - w = -7, 32 = -286*l + 291*l + 2*w for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Is 22 - (1 - -1 - a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 - 32*d + 20. Determine f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269413 or 5\/21?\nAnswer: 269413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 729 - 435. Let c(t) = -2*t**2 - t - 2. Let l be c(-4). Let x = d + l. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - p**2 + 33*p + 148. Give v(-8).\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2845 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 435035239 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: Solve d = 0, t + 5*d + 9 = 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 122, 92, -8, -184, -442?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 576 and 1201380?\nAnswer: 57666240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 4, 3\/16, -3\/5, -0.3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58266\/179 or 326?\nAnswer: 58266\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5756 + 5573 + 2*s**2 - 11076 + 210*s**3 wrt s?\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -10. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**3 + 0*y**2 + 0 + 0*y**5 + 9\/56*y**8 + 0*y**7 - 5*y + 0*y**6 + 1\/2*y**4. Find the third derivative of s(r) wrt r.\nAnswer: 1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.5 and -1396.\nAnswer: 24430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 bigger than 10214\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -2 (b) -5 (c) 0.0638 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 28108*b**3 - 8*b**2 + 19*b - 7. Is f(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**3\/6 - 9*j**2 + 25. Let q(d) = -2*d + 5. What is -q(t) + 6*y(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, x: 15}. Give prob of picking 4 m.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -540962435 by -2615.\nAnswer: 206869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -19*f**3\/2 - 6*f**2 + 40*f - 2. Calculate the lowest common multiple of 25 and j(-1).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6*a = 30. Solve -3*d = -4*d + a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8340 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + 130*l + 7*l**2 - 130*l. Let o(u) = -14*u**2. What is -15*n(s) - 5*o(s)?\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - a**3 - 31616*a + 31661*a + 31*a**4 as l*a**4 + s*a**3 + m + d*a + b*a**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmbmmmmmmmdmmmmmm. Give prob of picking 1 b and 1 m.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)\/n*n*n*((n\/(n*(n*n\/(n\/n**(7\/3)))\/n))\/n)\/n*n)**(-2\/167)\/((n*(n\/(n*n**(2\/3)*n*n))\/n*n**(-8))\/(n**(2\/9)*n)**33) assuming n is positive.\nAnswer: n**(25631\/501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1359935195 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16536230 or 82681151\/5?\nAnswer: 16536230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*l**4 + 5*l**4 + 7*l**4 + 12*l + (11*l**4 + 50*l**2 - 50*l**2)*(1 + 1 + 1) + 0*l**2 + 2*l**4 + 0*l**2.\nAnswer: 34*l**4 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005613770698 to seven decimal places.\nAnswer: -0.0000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14\/83 - 4523\/249. Let w = s + 18. What is the closest to w in -4, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + f**2 - 4*f**2 + (127*f + 9275 - 9275 + (0 + 3 - 2)*(0 - 2*f + 0))*(-10*f + 0 + 5 + 3*f) to r + j*f + g*f**2 and give j.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * 0.1.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 5434616 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 14c1c (base 13) in base 6?\nAnswer: 502230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2407022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Suppose -w - 5 = 2*n. Let k = -8 - n. Are -4 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 3386 + 1052 = 0. Suppose 2*d - 26 = -o + m, 1735 = 5*o + 5*d. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttte when four letters picked without replacement from {u: 2, w: 7, e: 3, t: 8}?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2306 - -9335. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(9\/12)*-1. Let i be (-194)\/(-4) + 2\/j. Let u = i + -34. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/224 - (247\/(-7) - 1). Suppose f = 5*d + d. Suppose 10 = -2*n, -n - 20 = -5*h - 2*n. Do d and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h*h**(-1\/31))\/h*h*h**(-17) assuming h is positive.\nAnswer: h**(-466\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244334*n**3 - 122152*n**3 - 122331*n**3.\nAnswer: -149*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -9*l - 39. What is the remainder when 535 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 8*i + 9. Let g be t(9). Solve 0 = -2*z - g + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**4 - v**3 + v. Let b(i) = -i**4 + 6*i**3 - 23*i. Let o(j) = -b(j) - 6*n(j). Find the second derivative of o(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14557*h**2*p**2 + 2*h**2*p + 410*p**2 - 4*p + 6 wrt h.\nAnswer: 29114*h*p**2 + 4*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(27 - -3))\/(((-7830)\/225)\/(-58))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 17*p. Let i be o(-17). Suppose -29 = -2*a - 2*r - r, i = 5*a + 5*r - 65. Suppose -4*u - a = -6*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -19, -1\/4, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1386\/(-35))\/(-11)*22\/(-33)*5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*f + 30, -10*v + 5*v = -2*f - 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/92 and 3\/230.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 20*q - 7. Let s be t(22). Let b = 29 - s. Let x = b - -7. Which is smaller: 2\/21 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*j**2 + 76*j**2 + 1285*j**3 - 1287*j**3 + 84*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5))\/((-69)\/(-18400)*20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.6 - -62.6. Which is the nearest to y? (a) -1\/8 (b) 4\/9 (c) -1 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*i - 115*i + 485*i.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.1*-34.\nAnswer: 1431.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**(8\/5))**(-2\/93) assuming r is positive.\nAnswer: r**(-4\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (135\/10)\/(9\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/75*-3 + (-824)\/(-2210). Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/(7\/28*4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 11*i + 33. Let y be a(-6). Put -2, y, 0, 4, -13 in descending order.\nAnswer: 4, y, 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1063 + 1063 - 45*a)*(-151*a + 16*a + 77*a)*(-5*a + 3*a + 3*a) in the form b + v*a + g*a**2 + w*a**3 and give w.\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*v - 8, 2*v + 5*u = -0*v + 16. Suppose -6*i = -v*i - 15. Solve f = 3*p + i, 3*p - 25 = 6*p - 5*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -512, -485, -446, -395?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 80184631 divided by 2\nAnswer: 80184631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l**2)*(5*l**2 + 2*l**2 - 2*l**2) - 3*l**4 - l**2 + l**2.\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-3*-5 + sqrt(3))**2 + (5 + sqrt(21)\/sqrt(7))**2 - (sqrt(96)\/(-5*(sqrt(2) - -4*sqrt(2)) - sqrt(2)))**2) + -2.\nAnswer: 10*sqrt(3) + 134174\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531 (base 6) in base 8?\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - (-2 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, d: 1, b: 1, v: 2, a: 2}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*f + 10*f - 16*f)*(14*f**2 - 3*f**2 - 29*f**2) - 3*f**3 - 5*f + 5*f)*(-3*f**2 + 0*f**2 + 4*f**2).\nAnswer: 249*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/2 + 1. Suppose 0 = -2*t - l + 75, -2*l = -3*t + 8*t - 190. Let i = t + -198\/5. Which is the third smallest value? (a) i (b) x (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 4*b**2 - 59*b + 3090. What is a(0)?\nAnswer: 3090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570535, 1141082, 1711631, 2282182, 2852735, 3423290?\nAnswer: 3993847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + (8 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45495, -90978, -136441, -181878, -227283, -272650, -317973?\n\"Answer: b**3 + 4*b**2 - 45502*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4438156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*g + 44. Is ((-10)\/g)\/(2\/(-1948)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 376247 and -0.4?\nAnswer: -150498.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*b - 96, 2*c - 1 + 7 = 0. Let h = b + 42. What is the second smallest value in 2, h, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642 + 642 - 87*i**2.\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -85, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14\/(i\/(i*i\/(i**6\/i))*i))**(-1)*(i*i**(7\/4)*i**(5\/6))**(-36) assuming i is positive.\nAnswer: i**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**2 + 4*u - 4. Let y be (4 - 2) + -4 + 6. Let w be o(y). Suppose -90 = -z - z - 5*b, 3*z + 5*b - w = 0. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i + 129204 - 129204 + (0*i + 3*i - 4*i)*(-1 - 2 + 5) - 3 - i + 3)*(5*i - 3*i - 4*i) + (4 - 4 - 2)*(2*i**2 - 2*i**2 - i**2).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2263443872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 298*v + 22773. Let r = 161 + -45. What is the remainder when r is divided by s(63)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3\/5, -0.5, 24?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6143414 and -38\/9215121.\nAnswer: 18430242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y**2 - 2*y + (-1 + 9 + 0)*(5*y**2 + y**2 + 0*y**2).\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4*w**2 + 99*v**4 - v**3*w**2 - 1794*v**2*w**2 wrt v.\nAnswer: -48*v*w**2 + 2376*v - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-41837)\/(-107) + 1*7 is divided by 212.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30846410 + -18.9928.\nAnswer: 30846391.0072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 889760 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o - 2*j = 219, -2*o = -5*j - 437. Suppose 6*k - k + 2*t + 277 = 0, -t - o = 4*k. Is 18 a factor of k\/(-3) + 1\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, c: 1, s: 1, l: 3, h: 4}. What is prob of sequence hgg?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10340, -4, -2, 2 in descending order.\nAnswer: 2, -2, -4, -10340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2432221 + -3240?\nAnswer: 2423431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 286.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -131, -197?\n\"Answer: -66*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 454, 1321, 2896, 5389?\nAnswer: 9010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -59*g**2. Let t(y) = -1676*y**2 + 0 - 1 + 1688*y**2 + 1. Determine t(c(d)).\nAnswer: 41772*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/399 and 81\/56.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4692, -1375 in ascending order.\nAnswer: -4692, -1375, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -197, -302, -409?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -q + 27. Suppose 740 = 79*a - q*a. What is the highest common divisor of 37 and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.6 + 25.5. Sort 36, -3, -2, y.\nAnswer: -3, -2, y, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 11, y: 2, e: 1}. What is prob of picking 1 e and 1 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/20 + 3491*t**4\/12 + t**3\/3 + 1659*t**2\/2 - 2141*t. Find the second derivative of q(v) wrt v.\nAnswer: 6*v + 6982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/6 and 38\/5879.\nAnswer: 35274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 1784 + 3256 = 0. Suppose 33*w - 36*w + b = 0. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 0*d**2 + 1\/2*d**3 + 0*d**4 - 3*d + 7\/1440*d**6 + 0 - 1\/240*d**5. Let k(c) be the second derivative of u(c). Solve k(h) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o + 5668*i = 5669*i - 98, 2*o = -5*i + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**2 + f**2)*(-11*f + 8*f + 19*f)*(2 - 6 + 0).\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m + 47 - 27 + m. Let c be t(6). Suppose -5*w - 2 + 17 = c*n, 4*n + 12 = 4*w. Sort n, -4, 8 in decreasing order.\nAnswer: 8, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9337 plus 0.149?\nAnswer: -9336.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a8835 - -3?\nAnswer: 1a8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 9*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = 0, 4*x + 10 = 4*m - 9*m. Suppose 0 = -w + 4*d + 7 - x, 0 = -5*w + 5*d + 5. Put 4, -0.6, w, -0.5 in descending order.\nAnswer: 4, -0.5, -0.6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 + 7*u. What are the prime factors of i(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -72. Sort k, 3, 2, -1.\nAnswer: -1, 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721\/3 greater than or equal to 12\/2857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/9)\/g)\/(g*g**(-7\/6))*g**4\/g**(-4\/21) assuming g is positive.\nAnswer: g**(479\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6546, -6615, -6816, -7221, -7902, -8931, -10380, -12321?\nAnswer: -14826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*q**2 + 70*q**2 + 76*q**2 + 78*q**2 - 257*q**2.\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Suppose -s + 4*o - 54 = -3*s, 0 = 4*s + 5*o - 96. Suppose 38 + s = 3*c. Solve 4*l + f = c, 9*f = 5*l + t*f - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 20*d = 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -26369\/3 (c) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16970007.16 * 1.\nAnswer: 16970007.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2*k**3\/3 - 5*k**2 - 12*k - 8. Solve b(o) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/(m**7*m)))\/m)\/(m*m*(((m\/((m\/m**10)\/m))\/m)\/m)\/m*m))\/((m\/(m\/(m*(m**(1\/2)*m)\/m)))\/m**(-3\/10)))**(-1\/16) assuming m is positive.\nAnswer: m**(29\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -3*r**2 + 1\/6*r**4 + 0*r**5 + 1\/40*r**6 + 0*r + 0 + 0*r**3. Find the second derivative of f(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 678 + -492. Let z = h - 183. What is the third smallest value in 0.3, 0.5, -1\/6, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (-5 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a, -6*r + 3*a = -3*r + 127515. Round r to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -882*h**2 - 2*h - 2742 with respect to h.\nAnswer: -1764*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 2, q: 5, d: 4, j: 1, u: 1}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4\/7 (c) -1.06 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose w - 7 = t. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290567710 is divided by 5216?\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/9 - -53\/63. Let v = 0.05 + -0.12. Let t = -5.07 - v. What is the third biggest value in t, 0.1, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z**3 - 4*z - 4. Let j(g) = 60*g**3 - 15*g - 15. Suppose 2*s - 121 = -125, 0 = -5*k - s - 77. Determine k*i(r) + 4*j(r).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-9)\/(-126))\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(14\/9)*m*m*m**(2\/3)*m*(m**(4\/5)*m)\/m*(m**0)**(-43)*((m\/(m**8*m))\/m*m*m)\/(m**(-1)\/m) assuming m is positive.\nAnswer: m**(-94\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*x - 12, -4*x + o - 7 = -18. Solve 2*h + w + 6 + 9 = 0, x*h - 3*w = 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 525 = 68*f + 27*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/7)*t\/((t*t\/(t\/(t**(-2\/13)\/t)))\/t))**(-1\/11) assuming t is positive.\nAnswer: t**(-313\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/7)\/n**(1\/10) assuming n is positive.\nAnswer: n**(43\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b - 7. Suppose -5*x - d = -3*x - 8, 5*x - 10 = -5*d. Let i be s(x). Suppose h = i + 26. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 426 - 432 + t**3 + 11*t**2 - 11*t - 2*t**3. Calculate d(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 0.4 (c) 161 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z - 11. Let i be r(5). Suppose 2*v + 0*v - 298 = i*b, -2*v + 299 = -5*b. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 2. Let h(a) = 43*a. Let y(v) = 73*v - 1. Let j(t) = -5*h(t) + 3*y(t). What is 5*b(o) - 4*j(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2267?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 2*j**4 - 3*j**4 + (-10*j**4 - 13*j**4 + 26*j**4)*(0 + 3 - 4).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**2. Let f(m) be the first derivative of -m**5\/24 + 2*m**3 - m**2 - 53. Let t(u) be the third derivative of f(u). Give n(t(v)).\nAnswer: -175*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12534 (base 9) in base 12?\nAnswer: 4a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 4*c + 64 = 0, 23*w - 51*w = -24*w - c + 27 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2908 - -7594?\nAnswer: 4787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925 equal to -13\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128764 is divided by 74.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 45869*u**2 + 7 - 45877*u**2 + 171 to the form b + i*u**2 + v*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Let y be (4 + 11\/(-3))*57. Suppose y*b - 7*b - 120 = 0. Solve -4*x = 5*j + 26 + 4, -u*j = b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -147*o + 144. Let y be w(0). Are y and 145 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71092.91 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 - 2565?\nAnswer: -2487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 7*h + 1. Let o be y(-6). Suppose z + 16 = 3*z + 4*w, -3*w = 4*z - 22. Which is the second biggest value? (a) o (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0*i + 0 - 1\/90*i**5 - 8*i**2 - 1\/12*i**4 - 2\/9*i**3. Find v, given that o(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 20818670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 6. Let i be u(-4). Let h = i - -5. Let h - 2 - 1 - 4*d**2 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.6761 millilitres to litres.\nAnswer: 0.4646761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -1, -5 in increasing order.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 3*n)*(4 + 0 - 2) + n + n - 3*n + 0 + n + 0 + (1 + 2 - 5)*(-n + 0*n - n) + 2*n + n - 5*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 24*r - 26*r, -2*b + 355 = -4*b - 5*r + 362 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/2, -7, -1\/4, 15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*d - 22, 4*q - 20 - 5 = -5*d. Let y(n) = -n**2 + 7*n - 4. Determine y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*x + 423*x - 158 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-252) + (-2)\/(-3)*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 93 (c) 2 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 3*v**3 + 0*v**3)*(2 - 1 + 0) + 12*v**3 + 3*v - 3*v + 8*v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*n + 1 + (3 - 1 - 3)*(-4*n + n + n) + 4*n + 3*n - 5*n)*((-3 + 3 + 2)*(-1 + 0 + 4) + 0 - 2 - 2) to m + w*n and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 328007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 9:31 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + (4 - (20 - -1 - 23))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose -h - 3*q + 16 = 2*q, -3*h = 5*q - 28. Suppose -z + y*a + h = 2*z, -3*z + 11 = -2*a. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 34 (c) -1\/8 (d) -0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/13 (c) -1\/4 (d) -1\/13 (e) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) + -4)*2 + 1*sqrt(10)\/(sqrt(18)\/sqrt(9)))*-4)**2.\nAnswer: -2304*sqrt(5) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18443*a**2 + 18450*a**2 - 3*a**3 + 5*a**3 + a**3.\nAnswer: 3*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7909216 meters?\nAnswer: 790921600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 31?\nAnswer: -21\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 602982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 26. Let r be 2\/(-8) - o\/(-4). Suppose 124 = -a + r*a. Round a to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5500) + -1*sqrt(5500))*-2)\/(sqrt(396)*-1 + -2*sqrt(11)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1138027180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 40\/3*u**2 + 0 + 107\/3*u**4 + 5\/3*u**5 + 0*u + 142\/3*u**3 = 0.\nAnswer: -20, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1825, -3609, -5393, -7177, -8961?\n\"Answer: -1784*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y + 14. Let h be n(2). Solve 3*m + z - 12 = 8*m, h*m - 2*z = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 45 = -2*f + n, 0 = 5*f - 4*n + 65. Let w(c) = c**2 + 8*c. Let i(o) = 2*o**2 + 17*o. Determine f*w(v) + 6*i(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 31. Let j be ((-2)\/((-14)\/(-3)))\/(219\/(-146)). What is the third biggest value in 1, j, f, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1314506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 28. Is -0.3 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25510 and 3054.\nAnswer: -77907540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2443 - 2315 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -456627, -913242, -1369853, -1826460, -2283063, -2739662?\n\"Answer: 2*d**2 - 456621*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*i*k**3*n + 947*i*k**3 + 3030*i*k - i*n - k**2*n + 7*n wrt k.\nAnswer: 210*i*n + 5682*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4817\/15 + -321. What is the nearest to -1 in d, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 41 = -29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*a - 26, -3*a - 2*q + 49 = -14. Let u(w) = -1 + 4*w + 5 - a*w + 0. Let t(h) = -4*h + 1. Determine 22*t(x) - 6*u(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -210174, -420822, -631470?\n\"Answer: -210648*z + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -2, -61, -172, -341?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n + 7. Let l(h) = -3*h + 31. Let x be l(11). Let u be g(x). Let k be (162\/(-60) - -3)\/(u\/4). Is k less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*r - 2, -17 = -3*z + 676*r - 674*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 8 = 21*v - 3*l, -3*v + 3*l + 12 = 0. Solve 8*w + 21 = 5*w + v*y, 5*y = 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-8)\/(-6))\/4)\/(1\/6). Solve k = b*r + 1, 0 = k + r + 3*r + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*a**2 - 1 - 2*a**3 + 2*a - 2 + 1 + 1 as r*a**2 + d + j*a**3 + b*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12384377, 24768776, 37153175?\n\"Answer: 12384399*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -50604663.\nAnswer: -50604669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 2, 12980, -1, 2096, 1 in decreasing order.\nAnswer: 12980, 2096, 4, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185.5 + 2.5. Let v = z - 191. What is the smallest value in v, 1, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3494 and 14.6702?\nAnswer: 3479.3298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -60 - (-1 - 2) - -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -6. Let a be (-4)\/3*b\/(-2). Solve -a = -2*n - 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79442543*v**3 - 543156058?\nAnswer: -238327629*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 264\/616 + (-130)\/238. Which is the closest to -0.2? (a) 0.5 (b) -1\/6 (c) -1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 + 1054 = 10*q. What is the second derivative of 74*x**3 - 60*x**4 - q*x**3 + 17*x wrt x?\nAnswer: -720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - -68 - (3 - (5 - (10 - 7))).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b + 48*b + 16 = -5*o, 4*b = 4*o - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21505.57 and 252?\nAnswer: 21253.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81844231 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -25*d. Determine j(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = j - 0*j. Let d be (j\/(-4))\/((-3)\/(-4)). Suppose t = -3*t + 228. Calculate the greatest common factor of d and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 16 + 33 + 512*j.\nAnswer: 512*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(20)\/(2*sqrt(2)) + sqrt(1080)\/sqrt(3))\/((sqrt(198)\/(sqrt(11) + sqrt(33)\/sqrt(3)))\/(sqrt(486)\/sqrt(6))).\nAnswer: 234*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16371 (base 8) in base 6?\nAnswer: -54201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, v: 4, y: 2}. What is prob of sequence vy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-24 + 1 + 0). Suppose c = j + 3*j - 5*l, 154 = 5*j + 4*l. Let g be 1\/(-5) - (-126)\/j. Solve -g*p + 45 = -5*q, -5*p - 13 = -3*q - 53 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*n - 92 - 2, 0 = -2906480*n + 2906481*n - 5*d - 5 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46488 divided by -1\nAnswer: -46488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*r + 3 - 0, 0 = -4*r + 5*s - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -2)*8\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:20 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27985247 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192505?\nAnswer: 5, 38501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let p(a) = a + 3. Let j(i) be the first derivative of 1 + 2*i + 1\/2*i**2. Let f(w) = -3*j(w) + 2*p(w). What is f(k(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 475*n**3 - 2*n**2 + n + 92257.\nAnswer: 1425*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 17. Let n be c(15). Solve 3*o + n*o = -u + 20, 3*u - 2*o = -25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(133)*1 + sqrt(133)))\/(sqrt(700)*2) + (-1*sqrt(2299) + -1 - (sqrt(2299) - (5*-1*sqrt(2299) + sqrt(2299)))**2).\nAnswer: -57476 - 23*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.24 - 27.7. Let h = -28 - i. Let v = h + -1.93999907. Round v to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 6:53 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3 - 11904*a**2 + 59499*a - 47596 = 0.\nAnswer: 1, 4, 11899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6713*o**2 - 6*o**3 - 2*o**3 + 6710*o**2 in the form k*o**3 + n*o + y*o**2 + p and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 + 1 = 0. Suppose o + 0*o = k. Suppose -o*s = s. Which is smaller: s or 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 22, 47, 94, 169, 278?\n\"Answer: j**3 + 2*j**2 - 4*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 43*s - 417. Calculate the remainder when z(14) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.019 + -0.024. Let p = -0.205 - t. Sort 19, 2\/9, p in decreasing order.\nAnswer: 19, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {a: 2, h: 6, o: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*s + 1 = 3*s + 5, 6 = 3*s for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -16645359533.553?\nAnswer: 16645359532.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 593181390 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31722 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136379.20502 - -136382. Let s = a - 2.79. What is s rounded to four dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 10*v = v. Suppose v = -2*t + t + 20. Solve 3*o + o - t = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m**(-2)\/m)\/m)\/m))**38\/(m*m*m*m**(2\/3))**20 assuming m is positive.\nAnswer: m**(464\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, -8, 27 in descending order.\nAnswer: 27, 0, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*b**3 - 11*b - 380 - 6*b - 332 + 712 in the form s + v*b**2 + c*b**3 + f*b and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 2, x: 3, l: 2}. What is prob of sequence umx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -3038, 1, -15, -1, -3, -2.\nAnswer: -3038, -40, -15, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 663 + 37*j + 11*j - 69*j as z*j + m and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911384677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.174691 kilometers to nanometers.\nAnswer: 7174691000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.1, -64, -0.5, 0.4, -5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 96*l**3 - 105*l**2 + 876*l + 1008. Let h(q) = -25*q**3 + 26*q**2 - 219*q - 252. Let r(n) = -23*h(n) - 6*u(n). Let r(p) = 0. Calculate p.\nAnswer: -1, 12, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 366005 and -47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1))**(3\/20)*x\/((x\/(x*x\/(x**(-1\/4)*x)))\/x)*x**(-2\/25) assuming x is positive.\nAnswer: x**(247\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1994268.000475 - -1994292. Let u = -24 + v. Round u to five decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 41530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/5*i**4 + 1\/5*i + 0 - 5*i**3 + 11\/5*i**2.\nAnswer: i*(i - 1)**2*(13*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62459.2 decades to centuries.\nAnswer: 6245.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2959*a + 2963*a - 14 + 14.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**2 - 7*l + 7. Let u(p) be the third derivative of -2*p**5\/15 - p**4\/4 + p**3 + 18*p**2. Determine 6*g(o) - 7*u(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/6 (b) -3\/8 (c) -5 (d) 1\/3 (e) -0.2755\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 512*x - 362*x - 740*x + 0 - 294*x.\nAnswer: -1908*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -6084*s**3 - 549895632*s**2 + 56399600*s - 1446144 = 0. What is s?\nAnswer: -90384, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3298579 nanograms to milligrams.\nAnswer: 0.0000003298579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 8*w**2 + 12*w + 23. Give b(-8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + 0. Let o(j) = -j**3 + 13*j**2 - 10*j - 19. Let p be o(i). Suppose w = 3*w + 8, p*g - 201 = -w. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36ac6 (base 14) in base 8?\nAnswer: 405326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/115 and 2238\/(-460) + 5 - (10\/(-2))\/(-10).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56090 and 233840.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u - 38. Let f(x) = x**3 + 2*x**2 + 1. Let y be f(-3). Let s be t(y). Suppose 0 = -z + 4*q + 7, s*q + 0*q = -z + 19. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.37? (a) 0.2 (b) 0.19 (c) 9 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}