diff --git "a/data/dm_maths/full_data_2/1162_11255.jsonl" "b/data/dm_maths/full_data_2/1162_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1162_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round -0.1779346 to 4 decimal places.\nAnswer: -0.1779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/11)*f*f**(-12)\/f*f**1*f**13 assuming f is positive.\nAnswer: f**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - 21. Calculate the remainder when s is divided by (-3)\/(-3) - -3 - (-71 - -53).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2, 0 in decreasing order.\nAnswer: 38, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0*d + 2*d + 2*d**2 - d**3 - d**2 - 1. Let m be x(1). Sort -5, m, 4.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -424 - -489. Suppose -62*o - 25953 = -i*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/4 - z**4\/12 - 11*z**3\/6 + 3*z**2 + 166*z - 1. Let v(a) = 15*a**3 + a + 6. Calculate -11*v(h) - 6*w(h).\nAnswer: 15*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 4*g + 3*v, -5 = -v. Is (370\/(-4))\/(2\/g) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366256767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 16*w + 78. Let n be q(8). Let s(r) = -r**2 - 58*r + 0*r**2 - n + 50*r. Calculate s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, m: 2}. What is prob of sequence wmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8332393.\nAnswer: 19, 59, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 375*a + 2. Let g(c) = 3*c**2. What is p(g(o))?\nAnswer: 1125*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 114293060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 1449. Let z(v) = -3*v + 2180. Give -8*j(s) - 5*z(s).\nAnswer: -s + 692","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4576.94 milligrams to kilograms.\nAnswer: 0.00457694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Let s = -3.98 + w. Let u = -2.98 - s. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + -3 + (sqrt(171) + -5 - sqrt(19)).\nAnswer: -10 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -9*r - 20. Which is the smallest value? (a) r (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0*l**2 + 0 + 1\/3*l**4 + 3*l + 0*l**3. Let j(n) = -n**2. Give h(j(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 125*q. Let z = -8634 - -8640. Let j(h) = 7*h. Determine z*a(x) - 110*j(x).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2815 - -0.037650255?\nAnswer: -2814.962349745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6958278.\nAnswer: 2, 3, 128857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 0*i**2 - 3*i**2 + (8*i - 12*i - 5*i)*(3*i + 0 + 0) to the form y*i + l + f*i**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9842196*g**3 + 25568055*g**2?\nAnswer: 59053176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 9*m - 18. Give z(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -1003221132?\nAnswer: -1003220301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -81d98 (base 15) in base 11?\nAnswer: -26113a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1014\/(-130))\/(((-50)\/(-300))\/(5\/(-6))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25001343, -25001337, -25001327, -25001313, -25001295, -25001273, -25001247?\nAnswer: -25001217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290497 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = 2*s - 70 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 17 = 4*i + 3, -o + 4*i = -20. Suppose m - 5*m + 2*m = o. Solve -z - 7 = 2*h - m*z, 20 = -h + 5*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**2 - 9*d - 18. Let f(t) = -3*t**2 - 4*t - 8. Let q(o) = 9*f(o) - 4*r(o). Let k(b) = -19*b**2 + 8*b. What is k(q(g))?\nAnswer: -171*g**4 - 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160292 + -75332. Does 60 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 410 + -53. Suppose 75 = -w*s + 372*s. Let c = 1 + -1. Solve -s = 5*r - c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6104794 to the nearest integer?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*h**3*n - 639*h**3*v**2 + 5*h**3*v - 82*h**2*v**2 + 3047742*h*n*v**2 - h*v**2 - 2*v**2 + 14*v wrt n.\nAnswer: 43*h**3 + 3047742*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1717303\/270 >= -6359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + -0.39. Let k = -985 + 984.5406. Let s = k - b. Round s to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3 - 3)*(-i**4 - 3 + 3) + 1170*i**2 - 11*i**4 - 3*i**5 - 1170*i**2.\nAnswer: -5*i**5 - 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/62)\/((-4)\/((-132)\/341))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 4 - 6 - 88*a**3 + 79*a**3 in the form z*a + i*a**3 + w*a**2 + k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 - 2 + 57*r**2 + 16*r**2 + 41*r**2.\nAnswer: 99*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4.99. Let s = -0.41 - u. Round s to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14818, 14816, 14810, 14800?\nAnswer: 14786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l**2 + 0*l**2 + 0*l**2)*(4*l - l - l) - 3*l**3 + 9*l**3 + l**3)*(-120 + 19*l + 236 - 121).\nAnswer: 57*l**4 - 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -167244 divided by 543\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533515 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208300 a multiple of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.093 + 0.023. Let r = 4.38 - y. Let o = r + 0.55. Which is the nearest to 0.1? (a) 1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -578, -146, 574, 1582?\n\"Answer: 144*s**2 - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 1*sqrt(153))**2 + -5 + sqrt(153) + -5*(-1 + sqrt(153))**2)*5*6.\nAnswer: -4890 + 990*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 9*t = 30. Let l(x) = 4*x - t - x**2 + 14 + 4*x. Determine l(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 3*v**2 + 2*v + 1. Let b be n(-1). Solve -3*k = -16*l + 19*l + 3, -2*l + 3*k - 17 = b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -4\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (273*r**2 + 33*r**2 - 161*r**2)*(95*r**2 + 61*r**2 - 52*r**2).\nAnswer: 15080*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/116, -26, 4 in decreasing order.\nAnswer: 4, 3\/116, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**3\/2 - o. Let i(w) = -16*w**2 + 7*w + 14. Let u(h) = -5*h**2 + 2*h + 4. Let b(s) = 2*i(s) - 7*u(s). Calculate f(b(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 8*a**2 + 5*a - 10. Let z be m(-7). Suppose 2*t + z*t - 114 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74520 divided by -2.\nAnswer: -37260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18668537, -18668523, -18668509, -18668495?\nAnswer: -18668481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5358 = 9*d, -931 = -4*d - 2*k + 1451. Calculate the remainder when d is divided by (-4 + 16)*20\/6.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21557 - -21683. What is the lowest common multiple of f and 117?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1004124956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -t + 4*t. Let h be (-1)\/(-2)*-14 + t. Let y(i) = i**3 + 10*i**2 - 2*i - 7. Is y(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (8 + -3 - (15 - 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9608)\/(-8)*7\/(-42)*6. Which is smaller: -1202 or n?\nAnswer: -1202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2208 - -3375. What are the prime factors of n?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2224\/1197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66414600467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 = 5*d + 258. Find the third derivative of 0 - 439*l**4 + 439*l**4 - 3*l**2 + d*l**5 - 3 - 2*l**3 wrt l.\nAnswer: 5580*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 41 - 2*v + 16*v - 20 - 14 - 19. Let p(r) = -r + 1. Calculate -5*k(x) - 60*p(x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/3)\/(-2))\/(9\/(-6)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8\/12 + 280\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/1581190 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.086 less than or equal to 141411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 24 + 4, k = 4*i + 13. Let u(a) = 10 - 8*a**2 - a**3 - 4*a + 7*a**2 - k - 5*a**2. Let g be u(-6). Solve 0 = 3*w + 10 + g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 2*w - 2. Let z be u(-2). Suppose 0 = z*g + 1 - 9. Suppose -3*f + 6 = -9. Calculate the smallest common multiple of g and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-22))\/((n\/n**(-2\/41))\/n))\/(n*n**(2\/17)*n)**(-8) assuming n is positive.\nAnswer: n**(-2863\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 67. Let m be x(-8). Suppose -p + m = -54. Which is smaller: 59 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2489 - 2462 + 7411 - 2463 + 6*d.\nAnswer: 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 5*q - 2. Let m = -21 - -34. Suppose -m = -8*l + 19. What is c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 4, f: 1, h: 2, q: 1}. What is prob of picking 1 f, 1 d, and 2 g?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.733554 centuries in years?\nAnswer: 673.3554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17635.74 grams to kilograms.\nAnswer: 17.63574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:25 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-876)\/5037 - (-16)\/46?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 137 + -4?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 129 - 63 - 7*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n, 5*n + 4 = -0*f + f. Suppose f = p - 6. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 22518254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214466012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558612021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-24)\/n)\/n**(-1\/3)*n\/n**(-1\/36)*(n\/(((n**35*n*n)\/n)\/n))\/n assuming n is positive.\nAnswer: n**(-2111\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n + 4. Let k(h) = 2*h + 6. Let c(d) = -6*d + d - 7 + 0*d + 3*d. Let u(g) = -5*c(g) - 6*k(g). Give 2*i(q) + 9*u(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/10)\/(3514\/15060)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-46)\/(-10) - 3 - 0 - 102920\/(-50) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -24130230404?\nAnswer: -24130230412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -40*w - 118. Let f be s(-3). Let m(v) = -85*v**3 + 19 + 2 + 1 - 44*v**f + 3 + 19*v**2. Let z(o) = -14*o**3 - 4*o**2 + 4. Give 4*m(b) - 25*z(b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 3*f + 12480000 = 0. What is f rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*12\/(-8)*-1. Suppose 6*i + 97 = n*m + i, -3*i = -4*m + 111. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 15. Let a(u) = -u**3 - 7*u**2 - 5*u + 8. Let r be a(l). Differentiate -m**2 + 0*m**2 - r*m**2 + 3 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/2 - 3259583*h**4\/2 - 4889365*h**3 + 16297900*h**2 = 0. What is h?\nAnswer: -3259580, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**7\/70 + d**6\/60 - 11*d**5\/20 + d**4\/2 - 18*d**3 + 4727*d**2. Find the second derivative of i(c) wrt c.\nAnswer: -36*c**2 + 12*c - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2 - 15184*j - 57638464 = 0.\nAnswer: -7592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 585520541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112879433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3457*t - 123. What is the thousands digit of k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36496 is divided by 12161?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:05 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34657 is divided by 282?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*p + 4, 0 = 5*s - 2*p - 69 + 78. Sort 2, s, -3, -947 in decreasing order.\nAnswer: 2, -3, s, -947","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -10 (c) 1 (d) -40 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdy when three letters picked without replacement from {d: 4, r: 2, k: 2, f: 3, y: 2, p: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let h be a(-2). Let b = h - -6. What is the units digit of b\/4 - 13\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16056 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1518*t - 1434*t = 1804572. What are the prime factors of t?\nAnswer: 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -55.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, -1\/3, 1\/57, 0.1 in descending order.\nAnswer: 4, 0.4, 0.1, 1\/57, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:12 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t**2 + 16 - 3\/10*t**5 + 1\/12*t**6 - 1\/8*t**4 + 7\/6*t**3 - 2*t. Suppose l(v) = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4022 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3604 + 3631. Which is bigger: 590 or z?\nAnswer: 590","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Let f = 310 + -309.8. What is the closest to 0.1 in f, m, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -1998.\nAnswer: 5\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:12 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 3. Let u be d(4). Suppose u*y = a + 7, 0 = -5*a + y + y + 11. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -53*x**3 + 2*x**2 + 4*x + 5. Let s be w(-2). Let c = s - 241. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8 + 7*d**2 - d**3 + 14 + 2 + 7*d. Let o be n(8). Suppose -2*a - 1 = -11. Solve -4*c = 4*l - 8, o = a*l + c - 19 + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - -306?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737373 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8643 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1000011110010100011 (base 2) to base 6\nAnswer: -5541255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 141, 0 in descending order.\nAnswer: 141, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30839?\nAnswer: 30839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-1)*10\/30\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -98*d - 6. Let z(x) be the second derivative of 11*x**3\/2 + x**2 + 2*x + 17. Give -3*r(f) - 8*z(f).\nAnswer: 30*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/33)\/(-3) + (-4)\/22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846.3 rounded to the nearest ten?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/5365, 0.06, -1, -23, -2?\nAnswer: 2\/5365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + 3004140*q - 3004140*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3 + 4*x - 5. Let o be b(1). Sort -2, -4, o, 11 in decreasing order.\nAnswer: 11, o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 3*z - 129. Let k(j) = j**2 + j - 33. Let w(u) = 6*f(u) - 22*k(u). Factor w(t).\nAnswer: 2*(t - 6)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 96 = 2*r + 145, 17 = -r - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 68532 divided by -2\nAnswer: -34266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**5\/20 + w**4\/24 - w**3\/3 + 2. Let x(s) be the third derivative of n(s). Calculate x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10290 and 60466.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 - 7*h. Let d be 0 - 2 - (-351)\/486*3. Let o(b) be the second derivative of -35*b + 0*b**2 - d*b**3 + 0. Give -m(w) + 6*o(w).\nAnswer: 4*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4770.820211 and 209.\nAnswer: 4979.820211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7*x = 192. Let j(g) = g**2 - 2*g + 1. Let w be j(2). Is 8 a factor of w + -3 + 1 - x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -21*p**4\/5 + 6249*p**3\/5 + 15261*p**2\/5 + 11691*p\/5 + 540 = 0.\nAnswer: -1, -3\/7, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -819?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 10*y. Let v(q) = 3*q**2 - 29*q. Determine 7*p(d) - 2*v(d).\nAnswer: d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*1 - -1 - 1835\/(-734). Let 6\/5*c - 2\/5*c**2 + o = 0. Calculate c.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157680, -167, 4.\nAnswer: -157680, -167, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7668.723 nanometers to kilometers.\nAnswer: 0.000000007668723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5870*h**2 + 22*h - 3641. Let m(p) = -11742*p**2 - 55*p + 7282. Let t(y) = 2*m(y) + 5*z(y). Differentiate t(w) wrt w.\nAnswer: 11732*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqz when three letters picked without replacement from zyuqyuuvuyyuyyup.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d**2 + 13. Let n = 403 - 409. Let f(w) = w**2 + w + 1. Let v(j) = -j**2 + 4*j + 1. Let k(m) = 4*f(m) - v(m). What is n*l(q) + 26*k(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 2376*m + 2373.\nAnswer: 3*(m - 791)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3 + 14*i**2 + 10*i - 14*i**2 + 6*i wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/24)\/(2\/(-28))*(-360)\/(-29610).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 10) to base 15\nAnswer: 4ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 175\/24?\nAnswer: 175\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 3*o**5\/20 - o**4\/12 + o**3\/6 + o. What are the prime factors of b(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3092.47 times 0.6\nAnswer: -1855.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*x**3 + 4*x**2 + 1 + 17*x**2 - x + 106*x**2 + 0 to p + j*x**3 + f*x**2 + h*x and give f.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 890 and 1376118?\nAnswer: 6880590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 - w**3 - 2*w**3)*((-4 + 2 + 1)*(-2*w + 5*w - w) - 3*w + 0*w - 4*w) as f + g*w**4 + h*w**2 + a*w**3 + y*w and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43935507 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1945 - -1937. Suppose 169 = 4*s + g, -3*g - 2 = -s + 24. Let t = s - x. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 7*r - 9. Let s(y) = -y**2 + 3*y + 4. Suppose o = 2*t + 6, 5*t - 3*o + 6 = 2*t. Let i(w) = t*n(w) - 9*s(w). Give i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 5*j)*(-4 + 2*j + 4) - 551 + 551 + 3*j**2 to the form k*j + v*j**2 + p and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(22)*-2)\/sqrt(11) + 0).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/(170\/35 - 5). Suppose 288 = x + 2*k - q, 2005 = 4*x + 5*k. Calculate the greatest common divisor of 45 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-28)\/(-42). Suppose -r + 4 = m, -2*l + 4*r - 18 = -3*l. Find the third derivative of -4*w**l - w**4 + w**4 + 5*w**6 + w**2 wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 0. Suppose 9 = -2*z + k. Let y be ((-12)\/10)\/(1\/5). Put 5, z, 4, y in decreasing order.\nAnswer: 5, 4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -628*p**5\/5 - 89*p**4\/12 - 3*p**3\/2 - 2613*p. What is the third derivative of h(v) wrt v?\nAnswer: -15072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -20, -92, -208, -380, -620, -940?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -149 + 47. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 980\/100 + 9\/(-5). Solve f*x + 2*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Suppose -4*j = -8*j - 4*b - 8, -3*b = 5*j. Suppose 2*d = j*d + 5. Put -1, d, w in ascending order.\nAnswer: d, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1307 + -28733\/22. Suppose -1188 = -0*s - 9*s. What is the common denominator of -4 + 702\/s + -4 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 + 155828*u\/7 + 6070591396\/7.\nAnswer: (u + 77914)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 108\/(-40) + (-3)\/15. Let m = t + 341\/90. Let h = 14 - 13. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 2 k when four letters picked without replacement from {q: 2, k: 6, m: 8, b: 1, w: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/(-21) - (0 + (-4)\/(-14)). Let u be -6 + v\/1 - (-268)\/(-2). Let b = 241 + u. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128168058.\nAnswer: 2, 3, 601, 35543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 9*i**2 - 7*i + 8. Let o be q(-8). Suppose o = -h - 3*h. Find the third derivative of d**2 + h*d**5 - 4*d**2 - 2*d**5 - d**5 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1364 (base 8) to base 2\nAnswer: -1011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26155.1g in micrograms?\nAnswer: 26155100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 5. Let u(c) = -c. Let w(h) = o(h) - 2*u(h). Determine w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 73. Let x be 6\/33 + y\/11. Solve x = -j - 7 + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 29*l - 62. What is p(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 3 - 2*y**4 - 9*y**3 - 2 - 4*y**2 - 5*y in the form v*y**3 + s + g*y + a*y**2 + i*y**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168883*g**4 + 333911*g**2 wrt g?\nAnswer: -4053192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + 3*b + 24, -2*m + 5*b + 36 = 0. What is the units digit of (-2)\/(-8) + 78\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**3 + 6*g**2 - 11*g - 4. Let f be i(2). Calculate the greatest common factor of f and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**3 - 43940*g**2 + 43928*g + 87872 = 0.\nAnswer: -1, 2, 10984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*h = 4, -p + 0*p - 3*h - 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/6 + s - 93. Let j(w) = 1573*w. What is j(f(b))?\nAnswer: -3146*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 2, 8, 5.\nAnswer: 2, 5, 8, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h + l + 6 = 0, -l = 2*h + 2. What is the tens digit of 40 + h + -4 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917971178.\nAnswer: 2, 419, 613, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from rrxsnnnxsnrr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(204) - -3*sqrt(204)*-2)*-6)\/((-1*sqrt(72) - sqrt(72))\/sqrt(6) - sqrt(108)*6)*1.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.343980628 - -60.54397878. Let a = k + -45.2. What is a rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l. Let b(x) = x**2 + x. Let c be b(l). Solve c = -2*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4732 and 88790?\nAnswer: 16159780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 17 + 29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 16*t = 9215. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 92 + ((-2)\/14 - 11\/(-77)). What is the greatest common divisor of r and 1472?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/30*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**13*i)\/(i\/i**(-3\/29)*i))**43 assuming i is positive.\nAnswer: i**(-16340\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, g: 1}. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3415645.00532 - 3415816. Let k = x - -171. What is k rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9613*h**4 - 74*h**3 + 38032276 wrt h?\nAnswer: -38452*h**3 - 222*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20815.734 microseconds in minutes?\nAnswer: 0.0003469289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c + c - 4*c)*(-313 + 276 - 391) to m + k*c and give k.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:05 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**2. Let q be p(-3). Let z be 14\/(-28)*(165 + -17). Is q at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1440 = c - 4*l, 5*c + 4*l + 7120 = 0. Let x = -678 - c. Does 40 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b + -5?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110127 - -3261?\nAnswer: -105756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -1 (c) 4\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 15. Let z be (-71)\/284 + 401\/4. Suppose 0*x - 4*x + 379 = -p*m, -x - 4*m + z = 0. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -5.06. What is the smallest value in x, -5, -4, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. Let v(x) = -22*x - 25. Let r(t) = -7*t - 8. Let a(u) = -7*r(u) + 2*v(u). Let m(j) = -a(j) - 6*b(j). Let w(k) = -6*k. Give m(w(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:27 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -48*p. Suppose 5*o - 12 = c + 12, 0 = 3*o. Let v = c - -29. Let a(x) = 0*x + 7*x - v*x - 3*x. Determine a(l(n)).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 0. Put 0, d, 1 in descending order.\nAnswer: d, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 75?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 + 42*t**2 - 11*t**3 - 37*t**2 - 5*t**2 + 2*t.\nAnswer: -19*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 15 = -11*q. Suppose 7 = m + q. Factor 3*g**m - 2*g**2 - 3*g**4 - 4*g**3 - 2*g**4.\nAnswer: -2*g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(245) + -1 + sqrt(245) - sqrt(245)) - (sqrt(245) + 0 + 1)) + (1 + 3*sqrt(245))*6 + 5)**2 + 2.\nAnswer: 1764*sqrt(5) + 79431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i**3*z**5 - 3946*i**3*z**3 - 2*i**3*z - 14*i - 2685*z wrt z?\nAnswer: -180*i**3*z**3 - 23676*i**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 400.1 + -400. What is the third smallest value in s, 0.4, 0.5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -28847 (b) -1\/2 (c) -2\/7 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629.0384mg to micrograms.\nAnswer: 629038.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f**3 + 7*f**2. Let s = 0 + -1. Let g(a) = -a**3 + a**2. Let j(n) = s*o(n) - 4*g(n). Find the third derivative of j(z) wrt z.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.4 + -47. Let s = -5 - x. Let u = 0 + s. Which is the closest to 0? (a) u (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-30) + (3 - ((-501)\/(-45) + 5))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/((4 - -1) + -3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/z*z**(2\/9)*(z*z*z*z\/((z**1\/z*z)\/z)*z)**(5\/2))**(-18\/7) assuming z is positive.\nAnswer: z**(-247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 831 divide 10208835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -715.90618 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2707\/46 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/6720 - k**7\/840 - k**6\/180 - k**5\/120 - k**4\/8 + k**2. Let i(z) be the second derivative of x(z). Determine i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 2\/803, 2, 0.3, -17, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 15*h**2 + 30*h + 231. Calculate v(-12).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102861168 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {j: 3, q: 8}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 7*z - 3576. Let a = -103 + z. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -2 - (1 - 15 - 7) - (-248 + 219)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 105. Sort -39, -3, w in ascending order.\nAnswer: -39, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 14*y = 9*y - 2*z - 195, -4*y + 255 = -z for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5624.301g?\nAnswer: 5624301000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c. Let o(j) = -7*j + 5. Let x(z) = -28*z + 21. Let b(h) = 21*o(h) - 5*x(h). Determine -5*b(u) - 4*f(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -483cbd4 + -7?\nAnswer: -483cbdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 3. Let a be s(15). Is (406\/(-8))\/(51\/a - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1\/15, -1\/4.\nAnswer: -1, -1\/4, 1\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -2 (b) 0.3 (c) 176 (d) 190 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 - 418 + 11701*w**2 - 11699*w**2 - 12*w.\nAnswer: 2*w**2 - 12*w - 907","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 50 = 5*s, s + 2*q + 3*q = -12. Suppose -5*v = j - s - 36, 25 = v + 4*j. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 431*j**2 - 8 + 7 + 11*j - j**4 - 430*j**2 + 4*j**3 to t*j**2 + z + c*j**3 + h*j**4 + q*j and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 - 2*o + 1. Let k(p) be the third derivative of p**4\/24 + p**3\/6 - 3*p**2. Let a be k(0). Let d be t(a). Let y(m) = -m - 1. Calculate y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 4. Let a(v) = v**2 - 2*v - 4. Give -3*a(l) - 2*b(l).\nAnswer: -3*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.805 - 4.295. Let i = o - -3.49374. What is i rounded to four dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52326, 52322, 52316, 52308, 52298, 52286, 52272?\nAnswer: 52256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4\/7 (b) -0.3 (c) 0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, 3, 6, -4\/7.\nAnswer: -12, -4\/7, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45*(-4 + (-88)\/(-20)). Suppose c + i - 7 = 0. Let t = -8 - c. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -10\/7 in increasing order.\nAnswer: -3, -10\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.77 + 1621.\nAnswer: 1655.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 78, 107, 146?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1306 and -0.5?\nAnswer: 1305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 616 and 784?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/40 + 41*a**5\/10 + 81*a**4\/8 + 74*a**2 - 3*a + 2. Factor x(k).\nAnswer: 3*k*(k + 1)*(k + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q - 50. Let r be a(8). Factor 8*v**2 + 4 + r*v + 41*v - 67*v.\nAnswer: 4*(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*-17*(-22)\/(-55)*(-135)\/54?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6)*-1)\/(sqrt(18)\/sqrt(6)*-2))**2 - (2 + sqrt(2) + sqrt(2) + 5*sqrt(8)\/sqrt(4) - (3 + sqrt(64)\/sqrt(2)))**2.\nAnswer: -17 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2412287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -850 + 34?\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - k + 2*n - 1485, k + 3*n = 297. Calculate the highest common divisor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/22 and 11\/460.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2788565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24590 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - 4. Let u be (8\/(-5))\/(6\/d). Let x be ((-1)\/(-5))\/(6\/u). Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 474 + -473. Let g = -9 - -11. What is the closest to 0.05 in b, -2, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v + 19*v - 188*v + 19*v + 30*v + 49*v.\nAnswer: -41*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 92 + 1*(-5 - -3). What are the prime factors of (-6)\/(-6) + t\/3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2. Let k(r) = 467*r**2. Give n(k(b)).\nAnswer: 436178*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -30*k + 2*k**2 + 73*k - 3 - 52*k. Calculate b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -516*w**3 + 9*w - 45. Let o be z(5). Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03260248 - -17.\nAnswer: 16.96739752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3366690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37837 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*l = -2*k - 221*l + 15, -40*l = 40 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/14 + (-1004)\/(-14) is divided by -30*30\/54*(-42)\/28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98636 is divided by 2529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1406.73073\nAnswer: -140.673073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 185*p**2 + 5*p - 4. List the prime factors of q(-3).\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398716?\nAnswer: 2, 99679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 minutes after 11:40 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 15 + 7 + -3. Let q be (-9)\/m*154\/(-33). Let z = 5 - 1. Solve -2*j + 3*d = 4, -d = -z*j + q*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0390834183 rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27161 - -31751. Calculate the highest common divisor of 850 and x.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.5, 5.\nAnswer: -24, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z**3 + 39*z**2 + 95*z + 94. Let i(s) = 5*s**3 - 13*s**2 - 32*s - 31. Let t(f) = -6*h(f) - 17*i(f). Let u be t(-11). Solve 33 = 8*y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722703 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-3) + 52\/39. Let d be -1*0*(48\/(-9) + z). Solve -2*t + d*w - 24 = -5*w, 4*t = 5*w - 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-8 + 2)) + -11 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3067 - 1434. What is the greatest common factor of 71 and l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 + 1 = 3*n, 0 = -4*n - 5*o + 29. Sort 6, -4, n, -1 in increasing order.\nAnswer: -4, -1, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85877200.\nAnswer: 2, 5, 17, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 b when four letters picked without replacement from {z: 2, b: 10}.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1141 = -193*w + 30*w. Calculate the greatest common divisor of w and 889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358 - 5372\/15. Let l be 2\/7 + (-132)\/(-28). Suppose 2*q - 3*q = -l. Which is the closest to -2\/5? (a) q (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01860733 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 13 - 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52923 = 1409*f - 64024 for f.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9224, -9231, -9248, -9281, -9336?\nAnswer: -9419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63210331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/44*(-4)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1169337231 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9027 + -5201. What are the prime factors of z?\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sivevouei. What is prob of sequence ss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c + 15. Suppose 0 = 4*l - 4*o + 8 - 0, 0 = l + 3*o + 6. Let m(w) = 4*w - 8. Give l*y(k) - 5*m(k).\nAnswer: k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, m: 1, c: 6}. Give prob of sequence ccmc.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -12. Let g be -4 - 11*(-2 - y). Suppose -5*n - g = 8, 0 = -2*k - 2*n + 2. Solve k*j = j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 5*t + 9 = -3*q, -4*t + 6 = -2*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072192?\nAnswer: 2, 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*w = 0, -6 = -5*w + 3*w. Suppose -2*s - 3 = 3*g, 3*g - 4*g + m = -s. Put g, -3\/4, -1\/8 in descending order.\nAnswer: g, -1\/8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*d - d. Let z = 9 + d. Let i be 2\/z*-3*-2. Put -3, i, -2 in decreasing order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 21*a - 20*a = -16, -q + 152 = -9*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:18 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 2*y + 3*y)*(-4 + 2 + 1) + (0*y + 2*y + 0*y)*(-1 + 0 + 2) in the form m*y + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -7723527?\nAnswer: 7723530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8601400 (base 9) to base 6.\nAnswer: 242424043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.5. Let u be (7\/(-56))\/(-5 + 4). Let a(q) = -q**2 + q + 1. Let g be a(2). What is the nearest to 1\/3 in u, g, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/480 - 5*u**4\/192 - u**3\/12 + 2*u**2 - 8. Let z(w) = 0. Calculate w.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197\/2408019 or 0?\nAnswer: -197\/2408019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-23 + 13)) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - 144?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, r: 4, b: 6, m: 1, g: 1}. What is prob of picking 1 g and 1 r?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(7\/(-105)). Let m = 3 + 0. What is the third smallest value in m, v, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2. Let g(p) = 735*p. Calculate z(g(n)).\nAnswer: -1620675*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/1*(2\/2)\/(-1). Suppose s*q - 36 = -24. Solve -3*w - q*f - 16 + 7 = 0, w - 4*f = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 6*x + 4. Let j be v(6). Suppose -2*r - j = -0*r. List the prime factors of -3 + 3 + (r - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 1. Calculate s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, 1 in ascending order.\nAnswer: -15, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)*(-97 - -92). Let l = 0 - -1\/6. Put l, w, 5, -0.2 in decreasing order.\nAnswer: 5, l, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 1, l: 1, c: 1, o: 2, f: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99*(-24)\/(-1404))\/(12\/(-78)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-3) - (-44)\/(-132).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445198?\nAnswer: 2, 13, 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*-5*((-1*sqrt(51))\/sqrt(3) - (-3 + (sqrt(17) - sqrt(34)\/sqrt(2)))) + 3)**2.\nAnswer: -1380*sqrt(17) + 5941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/18)\/(n**(-2\/7)*n))\/(n*(n\/(n\/(n*n**(-3\/20))*n))\/n*n*(n\/n**2)\/n) assuming n is positive.\nAnswer: n**(479\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-2)\/(-848)*(-832)\/520).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-6)\/5 - 184\/(-90).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 5, -5\/4, 18\/11, -942?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8098 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-3) - -3) + 10\/3. Let z = -7 - -10. Let u be 100\/280*8\/10. Put z, 5\/3, u, k in decreasing order.\nAnswer: k, z, 5\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2369*o - 550*o = 26271 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 120600*l**2 - 241215*l + 120610.\nAnswer: 5*(l - 1)**2*(l + 24122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*2 + sqrt(500))\/(sqrt(10) + sqrt(490)*2))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14.5 or 644?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464 divided by -15.\nAnswer: -2464\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**6\/300 - o**4\/60 - o**2\/2 + 2. Let d(q) be the second derivative of y(q). Factor d(i).\nAnswer: 2*i*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*c - 819*c - 821*c + 2407*c.\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 71494.89ng?\nAnswer: 71.49489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 3\/7, 2\/5, -12, 9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-14)*(6\/(-5) + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 2*sqrt(68)\/sqrt(4) + 4 + -1*sqrt(187)\/(sqrt(11)*-3 + sqrt(11)).\nAnswer: 4 + 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10264 smaller than 10265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:11 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + 0*d**2)*(-159*d + 409*d + 414*d).\nAnswer: -1328*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*t + 47*t + 65*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**7\/210 + 17*y**6\/12 - 679*y**4\/12 - y**3\/3 - 9811*y**2. What is the second derivative of n(h) wrt h?\nAnswer: 12*h**2 + 1020*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*c - b - 38, -2*c - 5 = 5*b. Let o be (-4)\/10 - 34\/c. Suppose -2*f - f = -o. Are 3 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q + 709. Is 89 a factor of c(62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533065*l + 177693*l + 177709*l + 177722*l.\nAnswer: 59*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -103, -286, -563, -940?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00537874 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30321 + -2?\nAnswer: 30313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 637 + -212. Calculate the remainder when i is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/2 + 2600454*j + 31205376 = 0.\nAnswer: -5200896, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1542\/(-59367))\/((-1)\/21).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 34. Determine n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-36))\/((-10)\/(-180))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 22. Suppose -2*c - 45 = 3*c. What is the remainder when (-1*42)\/(c\/6) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8579 is divided by 4287.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5.4. Let f be 224 + -219 - 94\/18. What is the closest to -0.1 in 1\/9, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(143)\/(sqrt(99)\/(-2*sqrt(9)))*6.\nAnswer: -12*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*f*k*p**2 + 471*f*p**3 + 2*f*p - 50*f + 14*k*p**3 + k + 30465 wrt p?\nAnswer: -242*f*k + 2826*f*p + 84*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -549277\/72 + 7630. Let r = 30 - 171\/5. What is the common denominator of i and r?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19794 - 19794. What is the second smallest value in 12, -5, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - sqrt(1377)*5) + -4 + sqrt(1377))**2 + sqrt(1377))*-4 - (((1*sqrt(187) - sqrt(187)) + sqrt(187))*-4)\/(sqrt(132)\/(-2*sqrt(12))).\nAnswer: -49636 - 908*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*n - 33 = -3*h, -5*n + 31 = 3*h. Solve -g + 0 = h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d - 4\/3*d**3 + 1\/24*d**4 - 36*d**2 + 0. Determine w(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -41, -23 in decreasing order.\nAnswer: 6, -23, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -8\/3*y**3 + 0*y**6 + 0*y**2 - 12 + 0*y**5 + 0*y**4 + 0*y + 8\/7*y**7. Find the third derivative of n(v) wrt v.\nAnswer: 960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 963.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 122 - 2. Suppose 3*m = c*m + 4*z, m + 4*z = -6. Solve 5*y + m*y - 6*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-36)*(-171)\/(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12660*f. Let i(b) = -3*b. Give i(z(l)).\nAnswer: 37980*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*f + 38. Let c(q) = 10*q - 11. Let o(j) = -j + 1. Suppose 10 = -740*p + 745*p. Let v be (72\/10)\/(-3) + p\/5. What is f*o(t) + v*c(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkfm. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (-12)\/(8\/(-2)). Let v(c) = -15*c - 1. Let w be v(l). Let o = w + -63. Sort o, 1, -1 in decreasing order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7812 is divided by 3904.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 250 = -40. Let g be (359\/p - -1) + 2\/6. Which is greater: 19 or g?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 189*p**4 - 196*p**4 - 3*p**3 + p**2 - 2 + 3 to r + s*p + d*p**3 + k*p**2 + w*p**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = l - 8*w - 18, 1345 - 1417 = 6*l + 2*w for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbq. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 0, 5*m = -o - 4*o - 5. Let v(j) = j**2. Let k(a) = -a**3 - 2*a**2 + 4. Let i(h) = o*v(h) - k(h). What is the derivative of i(s) wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7706351*r. Let q(b) = b. What is q(g(d))?\nAnswer: 7706351*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*p + 119*p + 110*p - 443*p + 110*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 - 2*n**4)*((3*n + n - 5*n)*(6 - 2 - 2) - 2*n - n + 2*n + 3*n + 5*n - 3*n).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1399512592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - sqrt(78)*2*-1)*-3)\/(-2*(sqrt(6) + sqrt(6)*2 - sqrt(6)) - (sqrt(120)\/sqrt(5))\/sqrt(4)))**2.\nAnswer: 1053\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36669 + -17982. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3492 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.132 (b) 6 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 255*h**3 + 66*h**2 - 114*h - 33. Let t(z) = 16*z**3 + 4*z**2 - 7*z - 2. Give -33*t(k) + 2*x(k).\nAnswer: -18*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 988111331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 5 + -1 + 4 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*a - 52, 6*s - 2*s = -4*a + 192. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45 or -3.04?\nAnswer: -3.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 5*sqrt(1100) + 3 + sqrt(1100))**2 - sqrt(1100))*3 + -1*sqrt(11) + 5 + sqrt(176) + (sqrt(176) - (sqrt(176)*5)**2).\nAnswer: 1237*sqrt(11) + 157332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -3 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 7. Suppose 8*n - 132 = 6*n. What is the highest common factor of n and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**5 + 0*m**2 + 0*m - 1\/1260*m**6 - 2 + 0*m**4 + 1\/3*m**3. Let p(h) be the third derivative of t(h). Factor p(n).\nAnswer: -2*n**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -10.236142\nAnswer: -1.0236142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366 = 88*j - 778 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435789*n + 435789*n + 2536*n**2.\nAnswer: 2536*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1 - 12*l - 7*l + 28*l. Let j(w) = -8*w + 1. What is -7*j(m) - 6*o(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/8 - 130927*p**3\/4 + 13613597*p**2\/8 + 3501595*p + 3534327\/2 = 0.\nAnswer: -1, 54, 261802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/20 + a**4\/12 - a**3\/6 - 17*a**2 - a. Suppose 4*y + 8 = 3*x, -3*x - 6646*y + 6648*y = -4. Give z(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 + -5.11. Which is the third smallest value? (a) 0.1 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 1.1. Let i = l + 0.5. Let w = 20 - 19.5. Which is the closest to i? (a) w (b) -2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from ooooqqqqqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13633.65057 + 13634. Round a to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 7, k: 5}. What is prob of picking 1 j and 2 k?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from {h: 4, b: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 128670662 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:45 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Suppose 0 = -2*n - 0*n + 2. Let k(p) = -20*p - 21. Let g(q) = -11*q - 12. Let m(v) = -11*g(v) + 6*k(v). What is n*m(o) - 3*i(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 22 + 234 + 20 - 293 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/35 - 0 - (-4)\/(-14). Suppose -u*g - 2*o + 12 = 0, -3*g + 5*o + 1 = -1. Solve -2*q - 3*d + 8 = 2*q, -3*q + g*d - 19 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388 by 4.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + 5*b**2 - b - 2. Let u be r(3). Let c = u + 23. Let v = c + 68. Calculate the greatest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/3752*(-4)\/6)\/(2\/(-18))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -114*h - 568. Let i be b(-5). Solve -5*r + 16 = 5*s - 4, 0 = -i*r + 2*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96097687 to the nearest integer?\nAnswer: 9803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/448602 and -31\/7854.\nAnswer: 7626234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*a + 23. Suppose -w + 3*t - 9 = 0, 25609*t - 25610*t = w - 7. Solve -5*n = -2*l - a, -l + 21 = w*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 234294*y - 174. Let g be m(21). Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Suppose z - n*o - 38 = 0, 2*z + 5*o - 17 = -1. Let c be z\/(-2 + 5) + -1. Solve 2*t - 21 = -4*x - 7, 3*t - 16 = -c*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yll when three letters picked without replacement from {y: 4, l: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 4. Let x(k) = -61 + 191 - 59 - 70. Determine -l(o) - 2*x(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (28\/2*(-31)\/(-682))\/((-4928)\/(-128))\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-88) - 0)*-2. Let a(v) = -71*v**2 + 642*v - 27. Let g be a(9). Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 82*c - 227. Give o(85).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 24, -5, 59, 2, -3, -9 in ascending order.\nAnswer: -9, -5, -3, 2, 24, 59, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 288417 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: Find the common denominator of -59\/1280 and -51\/7936.\nAnswer: 39680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15.446 * -2\nAnswer: -30.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -20, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 15*f**2 - 2*f - 33. Let h be d(-15). What is the fourth biggest value in -1, -28, -2, h?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 4*h - 15 - 4*h + 46*h**2.\nAnswer: 46*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**2 - 10*h**2 + 0*h - 10*h + 7*h**2 + 5*h + 5. Let t(p) = 2*p**2 + p - 1. Let c(w) = -2*a(w) - 10*t(w). Let z(b) = 10*b. Give z(c(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3688*s - 70014 = 5355*s for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u - 134008 + 133952 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 38*r - 35. Let x = -177 - -197. Let y be c(x). Solve 0 = 3*j - j + y*i, -5*j + 4*i = -33 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 6*b**2 + 8*b - 7. Let u be w(7). Let y be 9 + -1 + u + -2. What is the third derivative of q**6 + 3*q**y - 8*q**6 + 5*q**2 wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-325)*(-6)\/(24\/20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 2*l**2 - 5*l - 3. Let f(d) = 2*d**3 + 2*d**2 + 4*d + 2. Determine 4*f(y) + 3*q(y).\nAnswer: 2*y**3 + 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 58*f + 343 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/45*(5 - 0). What is the nearest to k in -7, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3184*v - 334696. Determine z(-105).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 144\/(-36)*-4*1. Calculate the greatest common factor of b and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111000000001101011 (base 2) to base 12\nAnswer: 1b860b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 42 = -2*v - d, d = 4*v - 72. Suppose -v - 1 = -3*u. Let x(b) be the third derivative of b**4\/24 + 4*b**3\/3 + 232*b**2. Give x(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 64\/29, -5, 0.2, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -593724192*r**4 - 80507301.\nAnswer: -2374896768*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83196.82 millennia to years.\nAnswer: 83196820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10) + 2)*10. Let a = -54 + 67. Suppose -a*o + 489 = -57. Calculate the highest common factor of o and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-15))\/(2\/5). Solve z*l - 10 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12e (base 16) in base 9?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*i + 2*o + 4*o, 4*o = -2*i + 28. What is the greatest common factor of i and 4212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(1\/11)*i)\/i*i)\/i*i**(2\/11))**(-31))**(-22) assuming i is positive.\nAnswer: i**744","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47488212 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207394080 and 1308480?\nAnswer: 414788160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6052660166 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.6.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2517.067 - -2517. Which is the nearest to -2\/9? (a) -0.5 (b) p (c) -4\/7 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2785.\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40237 - 26016. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-874) + 90\/228)\/(0 - 1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2085 - -2077. Let o = 16 + -25. Let i = r - o. Let s(k) = 4*k + 1. Determine s(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 - (-24 + 51 + 57)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 115 (c) -295\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-11 + 388\/24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 185 and -776214243.\nAnswer: -776214058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twt when three letters picked without replacement from rrrttwwtwtrtwt?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 0, 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 1 - (-8 - (8 + -5) - 15)) + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 9326 in descending order.\nAnswer: 9326, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-393)\/(-12) + 15\/(-20). Suppose f + x - 48 = 0. Suppose -o + 5*z = -4*o + 26, 2*o + 2*z = f. What is the highest common factor of o and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/2)\/i)\/i)**(-27) assuming i is positive.\nAnswer: i**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 20*t**2 - 84*t + 3. What is the remainder when u(7) is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 20200130231?\nAnswer: 20200130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9))**35*k**(-1)\/k**(-4))\/(k**7\/(k\/((((k**(-1\/9)\/k)\/k)\/k)\/k*k)))**(9\/2) assuming k is positive.\nAnswer: k**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + 16*l**2 + 1. Let n be a(8). Let g(w) = w + 3. Let i be g(-9). Let p be -1*2*39\/i. Solve -3*f + n = p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/12 - u**3\/3 + 2*u**2 + 14*u. What is the tens digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and -13\/2772.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Let s(t) be the second derivative of -1\/6*t**3 - 2*t + 0 + 2*t**2. Give s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - q)*(8 - 8 + 4*q) to the form l*q**2 + t + d*q and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p\/p**(18\/7)))**(-6\/11) assuming p is positive.\nAnswer: p**(-192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-12)\/50*(-185)\/(-111))\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**8\/2688 + z**7\/280 - 51*z**2. Let j(l) = 0. What is l?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3 - 3 - 2*f - 5*f**2. Let l(k) = 2*k**3 + 42*k**2 - 390*k + 60. Let b be l(-28). Determine p(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 4*h + 5*h + 21*h**2.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953974.\nAnswer: 2, 7, 68141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -54, -89, -134, -189, -254?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = g - t, -5*g + t = -799 + 74. Let r = g - 97. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -296 + -2?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-8)*(-4)\/18*218\/(-763).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -10, 0.\nAnswer: -10, -1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.0382\nAnswer: -0.00764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -283.\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l - 115 = 0. Calculate the remainder when 43 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 36*v - 5. Let t be r(0). Let q = 0.03 - 6.03. Let o = 4 + q. Which is the second smallest value? (a) o (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**6\/6 + 683*x**3\/3 - 127*x**2\/2 - 3392. Find the second derivative of a(c) wrt c.\nAnswer: 20*c**3 + 1366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**2\/9 + 21038*k\/9 + 668.\nAnswer: -2*(k - 1503)*(7*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/(b*b**(-7)))*b**7)\/(b**(-3)*b*b*b**(-1\/2)))**36)**(-49) assuming b is positive.\nAnswer: b**(-2646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = -2*s, 3*s = 3*n - 2*n - 4. Let x be (-1)\/(-2) + (-5)\/n. Suppose x*c - 34 = -4. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130.64 + -117. Let l = 0.36 + f. Let u = 14.02 - l. Round u to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 916*s**2\/5 - 34031*s + 165550.\nAnswer: (s - 154)*(s - 5)*(s + 1075)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.78 + -9.78. What is the closest to -3 in -47, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 108*a - 2942. Give s(-52).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let b be 10*((-64)\/(-20) + -3). Suppose 8 + 4 = b*l + u, 3*u - 32 = -5*l. Solve -a*y = -l*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7470.03 decades to years.\nAnswer: 74700.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -4*b - 0*s + s, 4*b + s = -133. Let q = b - -262. Does 33 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014026 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-17)\/w)\/w)\/(w**(2\/29)*w))**(-26) assuming w is positive.\nAnswer: w**(15132\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 3*h + 6. Let c(x) = 3*x**3 - x**2 - 4*x + 3. Calculate the remainder when c(h) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 3, -602 in descending order.\nAnswer: 13, 3, -1, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*m - 80 = 0. Calculate the remainder when 77 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1227736 - -1227718.000025. Let u = -18 - y. What is u rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 11*o - 4. Suppose -2*q - q + 779 = 2*l, -o*q - l + 1037 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360478958170 less than 0.2?\nAnswer: -4360478958169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192 + 342. Suppose 0 = -3*m - x - 41 + 131, -5*m - 3*x + t = 0. Suppose 0 = 4*u + m - 138. Calculate the remainder when u is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**5 - 17*u**4 - 9*u + 17. Let d(i) = -i**5 + 6*i**4 + 3*i - 6. Let s(r) = 17*d(r) + 6*k(r). What is the second derivative of s(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-22)*j\/(j*j**(2\/5)\/j))\/((((j*j**12*j*j)\/j)\/j)\/(j*(j*j**20)\/j)))**(20\/11) assuming j is positive.\nAnswer: j**(-268\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1796381 weeks?\nAnswer: 108645122.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12)*o**(13\/2)*o assuming o is positive.\nAnswer: o**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, i: 5, g: 1, z: 3, l: 2}. What is prob of sequence kgzz?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 11 + 10*n)*((4 + 2 - 4)*(0 + 1 + 2) + 3 - 3 - 1)*(2*n - 2*n - n**2) to the form v*n**3 + m*n + w*n**2 + j and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -317*u + 26. Give r(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(7\/3)*y))\/(y*y**(-24)\/y)*(y*y**(-10)*y*y)**(-28))**(-13\/4) assuming y is positive.\nAnswer: y**(-8489\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 809157600 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 3 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263703509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04429607 rounded to five decimal places?\nAnswer: 0.0443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23036 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27471134 - 27471206.833879. Let h = 72.732 + x. Let j = h + 0.1023. What is j rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8493 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742784246.\nAnswer: 2, 3, 7, 13831621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203)\/(-5) - (7904\/190 + -43).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/5, -3, 0.4, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 529759815 divided by -3555435?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -848?\nAnswer: -848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -335b9 (base 12) in base 13?\nAnswer: -250b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12\/25 of a millennium?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose 10*x - 17 = 3*n + 5*x, -5*n - x + 9 = k. Let z be ((0 - 1) + 4)*n. Solve -c - 8 = -z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 z when three letters picked without replacement from taupipz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/1320 - r**5\/330 - r**4\/264 + 10*r**2. Factor k(l).\nAnswer: -l*(l + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:49 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/21 - (-3)\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - 172. Sort -7, r, -4 in descending order.\nAnswer: -4, -7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2261\/204)\/(-133)*(-56)\/2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -583*n**3 + 8 - 9*n + 12*n**2 + 5 + 582*n**3. What is the tens digit of a(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -164, -2, 51, -268 in decreasing order.\nAnswer: 51, -2, -4, -164, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(36))\/(sqrt(75) - (sqrt(75) + 3*sqrt(75))).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 247 (b) -2\/11 (c) 6\/7 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.46 + -1328.46. Are -0.1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 17*f = -24. Suppose m - 4 = 0, -f*m = 4*l + 2*m - 88. Solve 3*q = 3*p + 4*q + 8, -5*p - l = 4*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 86*r - 530. Solve -34*s + 37*s = -r*l + 19, -2*l = -s + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 369, 728, 1085, 1440, 1793, 2144?\n\"Answer: -l**2 + 362*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 13. Suppose 0 = 5*q - 4*y + 30, -q - 5*y + 8 = -15. Let t be 8\/36 + q\/b. Put t, -5, 2 in decreasing order.\nAnswer: 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 940 and 71910?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 19 = 79. Let s(t) = -t**3 + 11*t**2 - 10*t + 4. Let o be s(y). Is 13 a factor of 546\/o*(-2 + (-12)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9645741 by -1.\nAnswer: 9645741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.32 and -0.4.\nAnswer: 0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328 - 29*y**2 - 328)*(3 + 2*y**3 - 3).\nAnswer: -58*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 30 = 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*q + 886, 1490 = 4*s + s + 4*q. What are the prime factors of s?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -10 - 238 - -85\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1449496, 1449521, 1449562, 1449619, 1449692, 1449781, 1449886?\n\"Answer: 8*d**2 + d + 1449487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 6:11 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(((-4760)\/(-10))\/28)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2901656, 2901648, 2901640?\nAnswer: 2901632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2068 (base 11) to base 9\nAnswer: -3670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2232 - -2538. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/147 - (-99)\/7. Suppose -k = 5*j - 54. Calculate the highest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 + -96. Let x = -189.7 + o. What is the closest to -1 in x, 4, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43321893 * 0.3\nAnswer: 12996567.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7479222, -14958445, -22437668, -29916891, -37396114?\nAnswer: -44875337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 1. Let s(l) = -l**3 - 4*l**2 + 7*l + 5. Let f be s(-5). Let c = 7 + f. What is g(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 475, -9, 0.2, 0.09?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-7938)*-18*(-12)\/10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7 - 2 + v**3 + 3*v**2 - 2 - 2*v. What is the units digit of j(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.06 + -52661.\nAnswer: -52662.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 19909.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 + 12*r to g*r + n and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5\/6 - 5*q**4\/2 + 15*q**3\/2 - 5*q**2\/6 - 11*q = 0.\nAnswer: -1, 0, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*p - 930 = -267 + 165 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 32 - 88. Suppose r - 57 = -d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - 1. Let a(d) = 3*d**2 - 2*d + 2. Let h(g) = -a(g) - x(g). Let f(o) = -17*o**2 + 3*o - 1. Calculate 3*f(p) - 5*h(p).\nAnswer: -11*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/6)\/((-2)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-7))\/3)\/((-3)\/9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggagggsaissizgsis. What is prob of sequence ag?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*z - 4551 - 543 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**4\/2 - 5*p**3\/6 - 2*p**2 + p. Let n be 2\/((-1701)\/810 + (-13)\/(-5)). Let h(k) = k + 1. What is n*h(v) + b(v)?\nAnswer: 6*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -250bf - 3?\nAnswer: -250c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 3. Suppose 4*z - 5*k = 37, -4*k + 3*k - 1 = 0. Let o = z + x. Solve -2 = 2*t + o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123 - 179 + 36*i**2 + 37 + 699 - 163 as p + g*i + c*i**2 and give p.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23600 = -10*r - 10*r. List the prime factors of r.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/22 - 748\/121. Let j be 3\/y*17*-2. Which is smaller: j or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(-2\/9)\/n))\/n*n)\/n**(-1\/3)*n**0\/(n*n\/(n*(n\/(n**(3\/4)\/n))\/n)))**(1\/3))**(-2\/45) assuming n is positive.\nAnswer: n**(-13\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (-68 - (-63 - -38) - -83).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 1. Let k = 0.2 - r. What is the nearest to k in 1\/4, 3\/8, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l*(l**5\/l)\/l))\/l**3)\/(l*l*l**(1\/4))**(-1\/3))**(-1\/39) assuming l is positive.\nAnswer: l**(7\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y*y\/y**4*y**(-1\/6)*y*((y*y**(-2\/3))\/y)\/y*((y\/y**5)\/((y*(y*y**(-3)\/y*y)\/y*y)\/y))\/(y*y**(2\/5)*y)**(2\/9) assuming y is positive.\nAnswer: y**(-251\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -758 + 792. What is the closest to -0.05 in -1\/5, k, 2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 4. Let a be 3\/2*(9 - 7). Let r = 54 - 51. Suppose 3*f + a*g + r = -6, -5 = 2*f + 3*g. Calculate u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 + -66. Let z = -35 + w. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3278, -6500, -9670, -12788?\nAnswer: -15854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(175) + 2 + sqrt(175) + 0 - sqrt(175)))**2 - (sqrt(175) + sqrt(175) + -1)**2*-2*-6.\nAnswer: -6801 + 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 3*s - 3*s)*(-3 - 2 + 3) - 207 - 14851*s - 204 + 622 - 212 to f*s + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Solve -3*d + 4*z = -s*z + 9, -5*z - 15 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -982.5 - -1156.5. Is w less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43253*f + 6 = -b + 43251*f, 0 = 3*b + 5*f + 21 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + -96*6\/(-81). Is d < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11459.074 - -11482. Let y = -0.374 - x. Round y to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4) - 2\/(-4). Let v = t + 19. What is the least common multiple of v and ((-42)\/9)\/(2\/(-6))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrryiriiry. What is prob of sequence ry?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6*(-18)\/4*1. What is the nearest to -3\/4 in m, 0.01, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 14*q - 1. Let i be t(5). Let y = 0.5 - 0.5. Put -2\/7, i, y, 5 in increasing order.\nAnswer: -2\/7, y, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Let l(x) = x - 2. Let y be l(6). Let u(r) = 2*r**2 + 7*r - 3. Let v(z) = -3*z**2 - 8*z + 3. Let d(c) = y*v(c) + 5*u(c). Calculate d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r**(1\/3)\/r))\/r))**38*(r*r*r\/(r*r\/r**(-3))*r*r)\/(r**(-16)\/r) assuming r is positive.\nAnswer: r**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(2\/6). Suppose -8*l + l = -14. Factor -z**n - 2*z**5 + 11*z**4 + 4*z**2 - l*z**4 + 5*z**5 + 9*z**3.\nAnswer: 3*z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 6) + (2 - 6 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/149208 and -57\/2104.\nAnswer: 39241704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 4841.\nAnswer: 9\/4841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = -o + 3, -o = -2*y + 6. Let n(b) = -3*b - 2*b + y*b. Let r(d) = 3*d**2. Determine r(n(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 15813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + 1*sqrt(1792)*-2 + -6*(sqrt(1792) + -1 + sqrt(1792)) + (sqrt(1792)*1 - sqrt(1792) - sqrt(1792))*1 + 5)**2.\nAnswer: -2880*sqrt(7) + 403236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294563 is divided by 5157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Let f be -3 - (-2 + 2\/(-5)). Sort b, 3, f in decreasing order.\nAnswer: 3, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*g + 3*l + 38 = 105*g, -4*l = 16 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*1\/(-4)*16\/11*(-2211)\/(-402).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 6 + 4*u**3 - 2*u**2 + 3*u - 4*u**4 + 6*u + 2*u**4 + 7 as y + f*u**2 + q*u + d*u**3 + t*u**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 99 = 13*b - 47*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47497 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and (99\/2)\/(235\/1410)?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1942\/7 + 277. What is the third smallest value in -0.2, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - 89. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 1092, 1638, 2176, 2706?\nAnswer: 3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6399198203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 13 = -7*k. Let o = k + 4. Which is smaller: -2\/17 or o?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -24063*l + 120212. Determine k(5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 32984.\nAnswer: 98952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 - -10?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -4 (c) -3.8 (d) 3 (e) 0.1 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31762*c - 11355*c + 6 - 20416*c.\nAnswer: -9*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11128, 22254, 33380, 44506, 55632, 66758?\nAnswer: 77884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(3\/2))\/(h\/(h\/(h**9*h)))*h**(-4)*(h*h**(-2\/23)\/h)\/h assuming h is positive.\nAnswer: h**(-533\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -2.02. Let f = o - 1. Let m = 0.12 - 0.22. What is the closest to f in m, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -257 + 52*w**4 + 58 - 134*w**4 - 244*w**4 wrt w.\nAnswer: -1304*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = -8. Suppose 4*i + q - 10 = 0. Suppose -2*t - 3*s + 16 = s, -19 = -i*t - 3*s. What is the highest common divisor of 112 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(6)*3))\/(sqrt(30)\/sqrt(24)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 1, b = -s - 2*b - 32. Let i = s + 54. Solve 5*t + i = -4*y, -5*t + 2*y = -2*y + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + y - 5, 0 = 2*y + 6 - 4. Let j be z + (-5 - (-8)\/(-4)). Let u(b) = -3*b - 6. Calculate u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = -2*b, 0 = w + 3*b - b + 4. Suppose 11*o = w*o + 252. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 6 = -3*y. Find the second derivative of 20*o**3 + 135 - 135 - y*o wrt o.\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 13. Let f be y(10). Suppose f*x = q - 0*x - 10, 0 = -x. What is the smallest common multiple of q and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*l + 1324 = 2*n, 4*l + 1664 = 5*n. Let a = -183 + n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2 (b) -26 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1720516 - 17018.913.\nAnswer: -17018.7409484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31032 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*u - 20 = 0, -3*v + u - 20 + 8 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t**2 + 52*t - 29. Let i be j(7). Let y(l) = -l**2 + l + 7. Let m be y(-7). Let h = m - i. Solve 3*z - 7*z = h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3 - 486495*w**2 - 1945944*w - 1945932 = 0.\nAnswer: -162161, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-360)\/(-84) - 4\/14. Suppose t*u = -4*h - h + 200, -100 = -2*u + 2*h. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370122943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914933 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 128 = 124 + 388 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose 0 = 2*q - 11*m + 6*m - 19, m = -3. Suppose -2*u - 19 = -5*s, -u = q*s - g*s - 13. Solve -2*w + u*w = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273538553*v**2 - 13872141*v wrt v?\nAnswer: -547077106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**6\/30 - 2*k**2 + 5*k. Differentiate n(r) with respect to r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = 40. Let u be (-4)\/(-10) + w\/20. Is u equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10520 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 26 = -6*z + 73 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -74490 divided by 14898?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 + 1669*k**4 - 92624*k**3 + 1196468*k**2 - 5789760*k + 9517248 = 0. Calculate k.\nAnswer: 4, 6, 41, 1612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 3*t - 19 = 16*j, 5*j - 2*t - 22 = 0. Suppose 6*m = 3*m. Suppose m = j*s + 4*s + 216. Which is smaller: s or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let m be (-1 - 90 - (-45 - -47)) + -4. Let u(j) = -97*j**2 - 97*j - 97. Let n(b) = m*h(b) - u(b). Let p(a) = 4*a**2. Calculate p(n(s)).\nAnswer: 37636*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 + -187 - (2 + (1 - 12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133155*h**3*r**2 - h**3 + 434*h**2 - 22*h*r - 4*r**2 - 5*r wrt r?\nAnswer: -266310*h**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22126895 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593743608?\nAnswer: 2, 3, 887, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2215 and -89\/12404.\nAnswer: 62020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 12. Let f be d(9). Suppose 1 - 4 = -3*u. Suppose 0*m - u = m. Put -4, f, m in ascending order.\nAnswer: -4, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -399016 - -0.408308903\nAnswer: -399015.591691097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000701607 to seven decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (60\/70)\/((-2)\/(-322)) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -105?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550587276233 less than 13?\nAnswer: -3550587276220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46892430 and 420.\nAnswer: 656494020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2086.9 + -8.5\nAnswer: -2095.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -13. Let t(c) = 110*c**2 + c**3 - 223*c**2 - 9*c + 2 + 120*c**2. What is t(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/120 + v**5\/12 + 7*v**4\/24 - v**3\/2 + 8*v**2. Let a be h(6). Solve 0*s + a = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 521 times 131.976\nAnswer: 68759.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 4*i - 7. Let a = 34 - 34. Suppose a = -3*l - 22 + 1. What is the tens digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 0.18868, 7, 2?\nAnswer: 0.18868","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**5 + 45*a**3 + 21*a**2 + 9*a - 21. Let h(p) = 3*p**5 - 11*p**3 - 5*p**2 - 2*p + 5. Let n(s) = -21*h(s) - 5*q(s). Factor n(r).\nAnswer: -3*r*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374583773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/16)\/(3*2 + -1). Suppose 0 = 2*z - 3*z + 1. Let d be (-11)\/(-9)*z + -1. Which is the second smallest value? (a) d (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -712*t**2 - 935*t + 11. Let b(q) = 358*q**2 + 457*q - 5. Let k(n) = 9*b(n) + 4*r(n). Factor k(y).\nAnswer: (y + 1)*(374*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -153\nAnswer: -1683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 210*f**3 + 385*f**2 - 600*f.\nAnswer: 5*f*(f - 1)*(f + 3)*(f + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -13*k**4 - 3*k**3 + 13*k**2 + 3*k = 0.\nAnswer: -1, -3\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589998428 to the power of 1\/3, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -577127526 to the nearest ten thousand.\nAnswer: -577130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) -30 (d) 4.32 (e) 1.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -510973 and 0.46.\nAnswer: -235047.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10332\/(-1312) + 15\/2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 5:04 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5084 is divided by 424?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18*1140\/(-152).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -6 - 3) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1393335 divided by -46.\nAnswer: -1393335\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 30*d - 75 = 0. What is the greatest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11730, -11763, -11848, -12009, -12270?\n\"Answer: -4*r**3 - 2*r**2 + r - 11725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -25*g**2. Let b(l) = l**2 - 11*l + 11. Let r(m) be the third derivative of -m**4\/24 + m**3\/6 - 8*m**2. Let u(a) = -2*b(a) + 22*r(a). Give u(j(p)).\nAnswer: -1250*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwk. What is prob of sequence uwu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 11 - 3)*(-25*z - z + 2 - 9*z) to n + b*z and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -u - 25, 7*z - 4*u + 26 = 2*z. Suppose -5*x + w + 3*w = -20, -5*x = -2*w - 20. Let v(h) = x + 0*h - h + 0*h. What is v(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = d - 3*y - 14, -4*d + 16 = -4*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -26?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32222 + -22300?\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -9*o - 27, -6*o + 5*o = 4*n - 38. Solve -p - k + n = 0, -2*k - 31 = 4*p - 9*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 2*h**2 - 3*h**2 + 50 - 22 as o*h**2 + t + x*h and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.3, 1\/4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -37*b - 206. Give a(8).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/(-132)*0\/1. Let m = -0.1 - 0.9. Which is the third smallest value? (a) m (b) -2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -6)*(-1)\/(2\/5). Solve -7 = -2*b + 5*i, -6*b + b + y*i + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*-3*(-1*sqrt(13) + -3 + 1))**2.\nAnswer: 46656*sqrt(13) + 198288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**9\/252 + y**5\/15 - 2*y**2 - 2*y. Let o(f) be the first derivative of t(f). Find the third derivative of o(r) wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10742 - 2658. Round b to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808488604?\nAnswer: 2, 7, 11, 127, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940\/25 + 2\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*t + 5*t - 6, -2*x = 8. Let l(q) = -q**2 + q + 4. Is l(t) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 21*m - 62. What is n(18)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (648\/1026*-19)\/(-1*(-2)\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*n**4 - 169768*n - 12*n**4 - 423*n**2 + 169767*n + (4*n**3 + n**3 - 3*n**3)*(-n + 2*n + n) to i*n**3 + w*n + v*n**4 + q + t*n**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 - ((-1428)\/(-374) - 7). Solve w*a + 1 = 4*q + 28, a + 2*q = -1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527 - 181. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1142*x**3 + 1 + x**2 + 1237*x**3 + (0*x**2 + 2*x**2 + 0*x**2)*(2*x + 10*x + 2*x).\nAnswer: 123*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.9832 litres?\nAnswer: 55983.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565 is divided by 179.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 10 - 4) + 0 + -3. Is 6 a factor of (3\/3)\/((-1)\/264*b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7927, 7875, 7797, 7699, 7587, 7467, 7345, 7227?\nAnswer: 7119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 92, 67?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t - 43. Calculate l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5819*q**3 - 5565*q**3 + 10416*q**3.\nAnswer: -968*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-120) + 41\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from hoyhtonthtytonntnnh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from llkkkl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n. Suppose -23 = -4*z + z + d, z + d - 13 = n. Calculate the remainder when 17 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5247340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164313?\nAnswer: 2164313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1122 - 605. What is the highest common factor of q and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -529 + 257?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288448 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/2 - (-9)\/6. Let s(p) be the third derivative of p**4\/24 + 11*p**3\/6 - 2*p**2. Calculate the remainder when 16 is divided by s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, 2, -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5605089 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.72 + -31.52. Which is the fourth biggest value? (a) h (b) -3\/7 (c) 0.03 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*4)\/(sqrt(378)\/sqrt(6)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -44*s + 39*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.4 and 999031.\nAnswer: -3396705.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1471 = 2*n, -11*n + 3*a + 2184 = -8*n. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*q + 74, -5*z + 3*q - 5*q - 175 = 0. Let t = 36 + z. Let p(u) = -5*u + 5*u - 9 - t*u + 0*u. Give p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven quarters of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*b**5 - 4*b - 17*b**5 + 0*b - 21*b**5 wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((455\/(-30))\/(-13))\/((-469)\/(-7437)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -314*h**3*u**4 + 159*h**3*u - h*u**4 + 2*h*u**2 - 2*u**4 wrt u.\nAnswer: -7536*h**3*u - 24*h*u - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212108, 212259, 212484, 212783, 213156, 213603?\nAnswer: 214124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.2 - 10. Let t = o + 3. Let f = 112 + -112.1. What is the closest to t in 5, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247744.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257755629 is divided by 2107?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 222567*s**2\/5 + 12375444096*s\/5 + 954229251668\/5.\nAnswer: (s - 111322)**2*(s + 77)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.5 (b) 9395 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-936)\/(-8). Let n = -26 + f. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10212 and 101\/3450?\nAnswer: 255300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 62. Calculate the remainder when 80 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (315\/(-36))\/7*(-1392)\/290.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -106.6. Let b = m + -15.599862. What is b rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 10:09 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -7, 13, -3 in descending order.\nAnswer: 13, 4, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 11352000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -158*a**2. Let d(q) be the first derivative of -2*q**3\/3 - 66. Calculate d(f(w)).\nAnswer: -49928*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 - 0, 0 = -5*m - u + 124. Suppose m = -g + 6*g. Solve 3*i = -g*o - 14 - 21, 5 = 3*i - 5*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 19.5. Let v = w - 3. Let j = 0.034 + -0.334. Sort v, 5, j in descending order.\nAnswer: 5, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 7810?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-36)\/x*x\/(x**(-5\/6)\/x) assuming x is positive.\nAnswer: x**(-205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/5)\/(-6)*3\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:56 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-14))\/((-175)\/(-1225)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -3*q**6\/2 + 8*q**5 - q**4\/4 + 16*q**3\/3 - 9*q**2\/2 + 2*q - 1456. What is the third derivative of f(c) wrt c?\nAnswer: -540*c**2 + 960*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169034777897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712837925 + -369977.\nAnswer: -713207902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262 + 192.2. Let x = -72 - z. Let q = -2.20000058 - x. Round q to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2. Let x(o) = 3*o**2 - 11. Let n(z) = -z**2 + 4 - 4 + 4. Let v(u) = -11*n(u) - 4*x(u). What is h(v(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 8042?\nAnswer: 104546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t**3 + 3*t**2 - 10*t - 9. Let k = 7 - 2. Let w be b(k). Suppose -34*x = -30*x - w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l + l - 70. Let m(s) = 5*s**2 - 7*s - 20. What are the prime factors of m(l)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*q + 22245 = 0, 9*l - 55566 = 4*l + 3*q. Let t = l + -7468. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4568579.\nAnswer: -5\/4568579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*x + 590*x = 29 + 51, -5*z + 2*x - 95 = -0*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 34 + 26)*(u + 14*u - 5*u).\nAnswer: 300*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 20*i + 22. Let k be j(-18). Let n be 120\/28 + 4\/k. Solve n*y + 21 = 3*u, 4*y - 2*y - 4*u = -18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67)\/(((-272)\/680)\/(2\/25*5))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12562245 and 14917.\nAnswer: 87935715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 0 + 2 - 1 + 0 + 1 - 2 - 1 + (3 - 2 + 1)*(-3 + 1 + 3) + (1 + 0 + 1)*(0 + 1 + 3))*(739*h - 324139 + 324139) to the form y*h + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2 - 28*r + 9. Let l be o(0). Let i = 1.3 + -1.4. What is the closest to i in 3, 0.04, l?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8414 + -0.1846. Let r = b + 0.026. Let j = 0.06 + -0.06. What is the closest to -2 in 2, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4107*b - 26775. Determine s(8).\nAnswer: 6081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75325 times 0.0152?\nAnswer: -1144.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51422*7031.\nAnswer: -361548082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57999505?\nAnswer: 5, 601, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 80, 90, 78, 38, -36, -150?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171756 (base 10) to base 12.\nAnswer: -83490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19158\/61 or 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146558 and 18034?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22519 divided by -1\nAnswer: 22519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*f + 717, -6*f + 3*f + 4*o + 533 = 0. Let d = f - 172. Solve -d*b + 18 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) 3 (c) 0.1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**3 - 4*c**2 - c + 12. Suppose 0 = -3*q - q + 20. Let a(g) = -g**3 - g**2 - g + 1. Let n(o) = q*a(o) - k(o). Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/25)\/((-3)\/(-15)). Put 5, -4, u in decreasing order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774 and 1376.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*q + 20. Let r(s) = -s**2 - 1 + s + 3*s - q*s + 2*s. Let h(d) = -4*d**2 + 6*d - 7. Determine -h(a) + 6*r(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 11*p - 19. Let o be w(2). What is the greatest common factor of 4393 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 25*o - 1118. Suppose 5*z = -f - 2, -6 = -2*f - 6*z + z. Calculate the remainder when 2*(-92)\/f*-2 is divided by n(45).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 14 - 15 + b + 43.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/2)\/j*j)\/j*j)**(-5)*j**(1\/4)\/j*j**(-5))**(1\/22) assuming j is positive.\nAnswer: j**(-13\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018.613 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2035, 4051, 6031, 7963, 9835, 11635?\nAnswer: 13351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.1384 minutes to milliseconds.\nAnswer: 4988304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -1 - (8 + (-4 - (8 + 4)))) + -18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5099*o**2 + 4*o. Let s(g) = -105*g**2. What is k(s(b))?\nAnswer: -56216475*b**4 - 420*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:51 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7636*f - 3947*f - 9222*f - 9162*f)*(f**2 - f + f).\nAnswer: -29967*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/7 + 5\/(210\/21822). List the prime factors of -13*(-16)\/k + 1236\/10.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493198?\nAnswer: 2, 246599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 11) + -13 - -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-14)*v)\/v*v*v)\/(v*v\/((v\/((v**(1\/12)*v)\/v))\/v)))\/((v*v**5)\/(v\/v**(-10))) assuming v is positive.\nAnswer: v**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213\/(-71) - (-2 - (422 - -1)) is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4\/3 + 15358*p**3\/3 - 9825280*p**2 - 9830400*p = 0?\nAnswer: -1, 0, 3840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11426501, 11426502, 11426503, 11426504, 11426505?\nAnswer: 11426506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (6 + -4) - (31 + -47 + 17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*v + 8, -3*v - 22*t = -19*t - 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 11866*w.\nAnswer: -2*w*(w - 5933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5995 not equal to 5994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - w + 5*t - 7, 2*t + 14 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-836)\/(-2926)*14\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2 (c) 54 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3962)\/(-10) - 8\/40. Suppose -4*j - 3*u + 112 = -p, -112 = -j + 3*u. Let a = j + -86. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3045, 3062, 3079, 3096?\n\"Answer: 17*v + 3028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -74, -62, -48, -32, -14?\n\"Answer: p**2 + 9*p - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7785.3556 + 7787. Let j = -25.3692 - q. Let l = 27 + j. What is l rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*((5 - 5 + 1)*(3 - 1 - 3) - 4 - 3 + 4)*(133*z - 18*z**2 - 133*z) as a*z**2 + q + u*z and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Give q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -112311112200?\nAnswer: 112311112313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 17 - 2*z + 252 - 141.\nAnswer: -3*z + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*x + 84*x = 90 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i - 2*a - 6, -5*i + 20 = -3*a. Let q = 16133 + -16128. Sort 3\/8, q, i in decreasing order.\nAnswer: q, i, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22146 or -22123?\nAnswer: -22123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 21 + (303 - 320) - -40.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*s - 58*s + 308 = 121*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -2\/5, 0.2, -2, 2\/9, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.75350867 rounded to 0 dps?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**3\/3 - 2*u**2 - 1. Suppose -19*j = 6 - 139. Is a(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 15 = 6*u. Suppose -11*o + u*o = 132. What is the greatest common factor of 440 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/241 or -1?\nAnswer: -3\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 29*n + 1. Let r = -3 - -4. Let f be t(r). Suppose f = -c + 4*c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k - 2 = 0. Let t = -125156 - -125267. Sort -3, t, k in decreasing order.\nAnswer: t, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.075451961 to 3 decimal places.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*s - 44*s - 522 + 516 in the form m + p*s and give p.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005052 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/55))\/i**(-5\/9)*((i**(-14)*i)\/i)**(-28) assuming i is positive.\nAnswer: i**(194819\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(-2*sqrt(3267))\/(1*sqrt(1296)).\nAnswer: -11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 57 + 657 = 184 - 510 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 2 + 1\/12*z**4 + 0*z**3 - 2*z - 1\/2*z**2. Let n(b) be the first derivative of t(b). What is the derivative of n(j) wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*((4 + sqrt(567)*2 + sqrt(567) + sqrt(567)*1 + sqrt(567) + -2)*6)**2)*5*5.\nAnswer: 486000*sqrt(7) + 38283375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.1. Let v = l + 0. Let y = 86 + -86. Put 2, y, v in descending order.\nAnswer: 2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 - 25*h - 9. Suppose -x + 50 = -8*i + x, 4*i = 4*x - 16. What is z(i)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 1*sqrt(19).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/16)\/g*g*g**(-7)*g*g*g*g)\/((g\/g**(2\/7))\/g**(-7)) assuming g is positive.\nAnswer: g**(-1193\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 3, i: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -331 and 0.1.\nAnswer: -330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2688820 (base 9) to base 10\nAnswer: -1476162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 62*v + 58. Let d(y) = y - 35. Let h(k) = 4*d(k) - 2*t(k). Solve h(s) = 0 for s.\nAnswer: -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**2 - 3*k - 2. Let g be h(-3). Solve 0*m = g*m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -5)\/(3\/(-5634)). Suppose 3*p - 2535 - w = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**7\/735 + c**6\/140 + c**5\/105 + 19*c**2. Factor i(w).\nAnswer: 2*w**2*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/7 + 13805*g**2\/7 + 331921*g\/7 - 345725\/7 = 0.\nAnswer: -25, 1, 13829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Suppose -w = -1 + r. Let v = 20 - w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + 4 + -3*sqrt(847) + ((sqrt(847) - (sqrt(847) + 1) - sqrt(847)) + -1)**2).\nAnswer: 55*sqrt(7) + 4285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174181849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/8)\/((j*j**5)\/j)*(j**1)**42 assuming j is positive.\nAnswer: j**(295\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-15)*10\/3. Let j = 15 + l. Suppose 6 = 10*n - 9*n. Calculate the lowest common multiple of n and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19509.\nAnswer: 3, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 24*t + 140. Let k be s(-13). Put 2\/9, -126, k in descending order.\nAnswer: 2\/9, k, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4452970?\nAnswer: 2, 5, 445297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8894615?\nAnswer: 5, 37, 48079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1401441 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*w - 1662004 = -1666078 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 + 349*b**3\/2 + 40215*b**2\/2 + 1532475*b\/2.\nAnswer: b*(b + 105)**2*(b + 139)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w**4 - 3*w**3 + 21*w**2 + 3*w. Suppose 5*v + g + 14 = -75, -4 = -4*g. Let f(h) = -h**4 - h**2. Let i(p) = v*f(p) - t(p). Factor i(r).\nAnswer: 3*r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 26*n - 18. Let i be d(20). Let x = i - -165. Calculate the lowest common multiple of 3 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24078757.\nAnswer: 19, 1267303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-2 + sqrt(242) - sqrt(242)) + -4)**2 - sqrt(242)) + -2 + 1*(0 + sqrt(98))*3 + -1.\nAnswer: 10*sqrt(2) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfmfykykky. What is prob of sequence ym?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1986*q**2. Let d(n) = -91*n**2 + n. Give d(h(z)).\nAnswer: -358921836*z**4 + 1986*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.7.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 18*a - 74 + (0 - 4 + 5)*(0 + 7*a + 0))*(-4 + 4 + 3*a).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 11*q = 96. Suppose -20 = 37*i - q*i. Let o(a) = -6*a + 7. Let j(y) = 5*y - 6. What is i*o(u) - 5*j(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 885, 893, 879, 831, 737, 585, 363?\n\"Answer: -2*f**3 + f**2 + 19*f + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2204919\/9646 + -17\/1378. Let n = 229 - a. Is 6 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by -19 - 423*15\/(-45)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72, -250, -534, -918, -1396?\n\"Answer: f**3 - 59*f**2 - 8*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 1. Let s(x) = -1. Let g(h) = -k(h) + 4*s(h). Determine g(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.1 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**6\/40 - v**4\/3 - 7*v. Let u(h) be the third derivative of n(h). Let f(t) = 2*t**2. Give u(f(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 4334*t**3 + 100 + 2371*t**3.\nAnswer: 6705*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from cuucnbknkubbnukpccnc?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 4, o: 1, l: 2, e: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -0.5, 3\/11, -2, 4 in increasing order.\nAnswer: -53, -2, -0.5, 3\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 605616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65268 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 10*m**2 - 5*m**2 + 3*m**2 - 3*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17679 - 3*v**3 - 5*v**3 - v**3 + 17679.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1987 - 440. Let o be 9\/45*0 - c\/1. Round o to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - p)*(-7*p + 3*p - 2*p) + 4*p + p**2 - 4*p + (0*p + 0*p + 12*p)*(-2*p + 4*p + 0*p) as a*p + n*p**2 + o and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/47515627 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 803*h*q*t - h - 1302*q wrt t?\nAnswer: 803*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 12*s**2 - 4*s - 16. Let d be b(10). Suppose d*o = 143*o + 6. Find the common denominator of o\/28*(-7)\/(-6) + 8 and -71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 4*y, -32 = -6*k + k + y. Suppose -25 = 2*h + 3*h. Let j = 10 + -6. Sort j, h, k.\nAnswer: h, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011010111001010100 (base 2) to base 10\nAnswer: -1158740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 87, -3\/7, -19, 3\/5, 0.2, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + -5 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 - 60. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v + 3*a + 642 = 38*v, -5*a = -v + 222. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 161829886.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - 1*sqrt(98)) + 0)*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3321 + -3634. Which is the third smallest value? (a) i (b) 0.6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 7006*m\/3 - 4636840\/3.\nAnswer: -(m + 740)*(m + 6266)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -1, 24, -1131, -3.\nAnswer: -1131, -9, -3, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = m + 3*r, -3*r = 2*m + 3*m - 15. Suppose m = 5*z - 39 + 14. Solve z = -q + 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b. Let w(m) = 6*m. Let l(g) = 8*p(g) - 5*w(g). Let k(v) = -13*v**2 + 18. Let c(o) = 11*o**2 - 27. Let z(h) = -2*c(h) - 3*k(h). Give z(l(f)).\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43048, 85959, 128870?\nAnswer: 171781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 832568*q + 2878144 wrt q.\nAnswer: 832568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*l + 135, 4*x + 3 = l - 57. Solve -15 = -2*b + 5*y - l, -y = -5*b - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137591\/25311 - -212\/39. Is -1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134515, -135263, -136021, -136795, -137591, -138415, -139273?\nAnswer: -140171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 3. Let c be r(-4). Let t be (-10)\/(-25)*5*2. Solve 11 + c = -t*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2010)\/9)\/(12\/27). Let y = x + 486. Let r = 16 + y. Sort 0.3, 2\/5, r in decreasing order.\nAnswer: 2\/5, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*r**2*w**3 + 2*r**2*w**2 + 4*r**2*w + 4*r**2 wrt w.\nAnswer: -114*r**2*w + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-2)\/(1 + -3)). Which is the third smallest value? (a) x (b) -1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2. Let a(r) = -140*r**2 + r - 2. Give -a(g) + 6*y(g).\nAnswer: 128*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10680 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1917*x**2 - 546*x - 57*x**3 + 548*x - 48 - 1917*x**2 to the form n*x + b + u*x**3 + l*x**2 and give u.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274748020.\nAnswer: 2, 5, 137, 197, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30 and -121\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44868663*p**5 - 13618885*p**2 wrt p?\nAnswer: 2692119780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1004 - 3014\/3. What is the third smallest value in o, -2\/29, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12098 + 12102. Factor -2\/11*g**2 + 0 + 2\/11*g**3 - 2\/11*g**5 + 2\/11*g**y + 0*g.\nAnswer: -2*g**2*(g - 1)**2*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:26 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1557*3\/(-18)*(-16)\/(-6). List the prime factors of (-37 + 34)*f\/(-6).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 + 6*p - 5 = 0. Calculate p.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**5\/20 + 7*r**4\/12 + 7*r**3\/6 - r**2\/2 + 5*r. Determine v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 261, 2\/29, 2\/55, 2, 0.2, -2\/15?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -397, -853, -1491?\nAnswer: -2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*u - 79 = -90, 4*c - 6 = -5*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y - 1. Suppose y*w + 10 = 2*o, 0 = 2*w + 2*w. Factor -5*j**2 - 2*j - 3*j**2 - 8*j**4 + 6*j**5 - 8*j**o - 12*j**3.\nAnswer: -2*j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -3.7. Let r be ((-5)\/(-2))\/((-6)\/(-12)). Let u be r\/(-7) - (3 + -4). Which is the closest to u? (a) f (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42388419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12288845 (base 9) to base 3.\nAnswer: 102022222221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-108)*(-3)\/10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 2. Let c be t(-5). Suppose -4*w - w + 15 = 5*i, -9 = c*i. Suppose -153*x + 4680 = 1017*x. Solve x*k = -w - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Let u = 112\/3 - 37. Let h = 0.8 + 3.2. Let d = 4 - h. Which is the nearest to d? (a) 3\/7 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 10, -11, -3\/5, 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -3*(-42)\/45. Let u = 5 + -4. Which is the nearest to u? (a) -1 (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848202871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - j**2 - j + 1. Let t(k) = -3*k**3 - 9*k**2 - 11*k - 4. Let x(d) = t(d) + 2*z(d). Is 14 a factor of x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790488 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1475.16 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from jchchhcchcj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 9*t + 4. Determine z(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (7 + 2 - (-26 - -25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118921 by -11.\nAnswer: -10811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k. Let a(o) = 3*o**2 - o**2 - 3*o**2. Calculate a(p(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*o - 542 + 1271 - 589 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57.141*9\nAnswer: -514.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 35*z**2 + 56*z - 84. Calculate j(33).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s**2 + s. Let y be d(2). Let z = -29 - -33. Solve f - z = -y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 + 8)*(-4*r**2 + 5 - 5 - 2).\nAnswer: -4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1118 divided by -86.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*w - 794 + 4250 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -185089, -370183, -555287, -740407, -925549, -1110719, -1295923?\n\"Answer: -u**3 + u**2 - 185090*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - 2\/(-4). Let c(i) be the first derivative of 4\/3*i**3 + 7 + 1\/2*i**2 + i. Let z(g) = -g**2 - g - 1. Give l*z(u) + c(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 175. Let v(r) = 28. Let z(w) = 3*p(w) + 15*v(w). Calculate z(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovriilh. What is prob of sequence lh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-3)*(-510)\/25. Suppose -8*t + 9*t - q = 0. Suppose 0*j + 4*j - t = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219095607.\nAnswer: 3, 73031869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49805 is divided by 422.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -478\/5 + 7171\/75. Let q = 221\/300 + y. Which is the closest to -1? (a) 1\/5 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527055841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1650 and 92\/675.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 3. Let m be n(-3). Let a be 2 - -3*3\/m. Solve -a = h - 0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*8\/(-60)*3. Suppose -3 = -3*v, i + 4*v - 33 + u = 0. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1160464146 - -2?\nAnswer: -1160464144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 180*q + 212*q - 249*q - 12441 for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08054631 times 0.06?\nAnswer: -0.0048327786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 3. Let i(h) = 4 + 9*h - 11 - 3*h**3 - 2*h + 2*h**3 - 7*h**2. Let v be i(-8). Suppose -5*c = 46 - v. Let z(m) = -2*m + 7. Give c*s(u) + 4*z(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2750 - 2755. Let z = 0.26 - 0.36. Which is the closest to s? (a) 1\/2 (b) z (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((921 - 581 + 1506)*(0*b + 3*b - 2*b) + 4*b + 0*b - b)*(3 + 3*b - 3) to r*b**2 + k*b + f and give r.\nAnswer: 5547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**2 - 429*u - 199. What is the lowest common multiple of q(-58) and 35?\nAnswer: 7945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(30\/(-9) + 6) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.013939 millilitres?\nAnswer: 0.003013939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 293. Suppose -12*g + 104 = -38*g. Let b be g\/18 - 10730\/h. What is the greatest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5772956653887+0.83\nAnswer: 5772956653887.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 22 = 4*w, 2*w - 25 = 7*w + 5*k. Sort 1, 3, w in increasing order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -663*j - 9299. Give k(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmxz when four letters picked without replacement from zqwmxrz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231924.02552 + -137426.37729. Let k = r - 94062.65. Let n = k + -435. Round n to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 169\/2, 0.3, -152.507?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2. Let u(m) = -3555*m + 2. Calculate t(u(q)).\nAnswer: 37914075*q**2 - 42660*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -4 (b) 5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1298?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1795903 is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -15.0359100547?\nAnswer: 14.5359100547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 27*v - 190. Let i be t(-9). Let f = i - 467. Let p(k) = k - 4. Let j(o) be the third derivative of -o**3\/6 - o**2. What is f*j(m) + 2*p(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 81, 178, 313, 486?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -843 (base 9) to base 11.\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(13))*1 - ((sqrt(637) + 0)*-1)**2.\nAnswer: -631 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 8\nAnswer: -215\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 397990 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(6192\/(-108)))\/((-1)\/28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1054440 and 2320?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/2 + 171*u**3\/2 + 417*u**2\/2 - 3771*u\/2 + 1593 = 0. Calculate u.\nAnswer: -6, 1, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1352 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**3 + 5*g + 6*g - 2*g wrt g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903 and 1080289?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a22 (base 11) in base 15?\nAnswer: 124b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/15)\/(6\/(-20)) - 4. What is the common denominator of 2*(-101)\/12 + -1 - p and -79\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 332527664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11060664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**3 + 2645*j**2 - 248230*j + 1393080 = 0.\nAnswer: -611, 6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342 + -339. Which is the third biggest value? (a) -18\/23 (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/21 - (6\/14 - -1). Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 7:26 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1704 - -1699. Which is the nearest to -0.1? (a) s (b) 1 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 1492, 3390, 6072, 9550?\nAnswer: 13836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*z**3 + 176*z**3 - 147*z**3 - 1239*z**3.\nAnswer: -1618*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 343838824\/3 or 114612940?\nAnswer: 343838824\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m. Let s(c) = -2*c**2 - 2*c. Let h = -22 + 21. Give h*s(o) - 2*b(o).\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f - 49. Let p be q(5). Suppose -p - 29 = -5*z. Solve -2*r = -z*r - 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = 5*t. Let y(m) = -11*m**3 + 13*m**3 - 2*m + 3*m**2 - m**2. Is 8 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -193, -4 in ascending order.\nAnswer: -193, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4 + 1582*f**2 + f**3 + 31329*f + 0*f**3 - 4 - 1228*f**2 = 0?\nAnswer: -177, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - b**2 + b + 2. Let d be x(-2). Let u(h) = -5*h**2 - 4*h - 5. Let q(y) = 2*y - 22 - 3*y + 21 - y**2. What is d*q(k) - u(k)?\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 1704?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391891 to the power of 1\/2, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9182 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 40, 115, 218, 355?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 22*l = 2016. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12181\/2240 + -3\/320. Let t(c) = c**3 - 18*c**2 + 12*c + 22. Let w be t(17). Find the common denominator of j and 300\/w - (-80)\/(-140).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -183 - a?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 4.0766396\nAnswer: 4.48430356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3. Let q(o) = 12*o**3 - 2*o**2. Let b(k) = 205*k**3 - 35*k**2. Let f(x) = -2*b(x) + 35*q(x). What is -9*c(h) + 4*f(h)?\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81*y - 6 + 30 + 51 + 13 wrt y.\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2320168, -4640261, -6960354, -9280447?\nAnswer: -11600540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**14*g*g**(-6\/5))**(10\/7))**42 assuming g is positive.\nAnswer: g**828","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 >= 803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j + 5. Let t(y) = 279*y - 17. Give -t(d) - 4*z(d).\nAnswer: -299*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58)\/(-10)*(3646 + -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Let g(p) be the first derivative of p**3\/3 + 3*p**2\/2 + 3*p + 48377. Give g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 416, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 466 (base 8) to base 16\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91921\/43 or -2137?\nAnswer: -91921\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 233045741 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019569403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9*y + 145 = 0. What is the second derivative of 5*w**2 - 16*w - 11*w + y*w wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 8759256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*w - 3*x, 249 = -5*w + 3*x + 258 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 19 - 7*n**3 + 17 - 13.\nAnswer: -9*n**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 18*p + 9 + 12*p + 3*p + 5*p**2 + 6*p. Let r(d) = 7*d**2 + 2*d**2 + 0*d**2 + 17 + 11*d. Calculate 11*f(i) - 6*r(i).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 13 = -t + 44, 4*t - 18 = -f. Suppose 0 = -v + 3*v + 100. Let h be (-14)\/5*v\/5. Calculate the greatest common divisor of h and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -321*r - 1337. What are the prime factors of f(-34)?\nAnswer: 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 50 = 5*k + 5*g, 3*g = -2*k + 20. Suppose -18*i = -k*i. Suppose -2*v + 2*u + 282 = i, 6*v - 2*u = 3*v + 418. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1161612 and 43\/1548816?\nAnswer: 4646448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1278027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34063 + 7?\nAnswer: 34072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -64. Let l = 65 - q. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 5*k + 3. Suppose -3*s + 10 = 19. Let w(j) = 5*j**2 - 7*j + 3. What is the remainder when w(5) is divided by a(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:57 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-20 - (-6 - -19)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v - 250 = 0. Suppose -4*b + 131 - 63 = 0. What is the remainder when v is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 209519717 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -22*l - 86. Let d = -140 + 136. Let f be i(d). Put f, -10, 5, 3 in decreasing order.\nAnswer: 5, 3, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 + 1780?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14945 - 14942. Let p = 2 + -1.9. Put -5, p, n, 2\/19 in decreasing order.\nAnswer: n, 2\/19, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*m - 14, 415*c = 3*m + 410*c + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from yvyaxayxyaa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001661 to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2651 = -3*y - 5*s, -3*y = -5*s + 2*s - 2643. What is the second derivative of 8*c + 298*c**5 - y + 882 wrt c?\nAnswer: 5960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 31. Solve -s - 2*g = -5*s - 14, -6 = -u*s - 4*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/35 - 9\/(-7). Let t = h + 28. Which is greater: 28 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10700 divided by 5?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6720 and 87\/8782816?\nAnswer: 263484480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 46*k**2 - k. What is the units digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*d = 2*c - 86*d + 5, -4*c + 2*d = -30. Find y such that 8\/9*y**3 - 2\/9*y + 0 - 2\/3*y**c - 4\/9*y**2 + 4\/9*y**4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:26 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 - 205.7. Let k = -22 - g. What is k rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 525188 - 877038. Let h = 520850 + k. Round h to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 5) to base 3.\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + (-100 - -91) + -1 + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - n + 126 = -6, 0 = 5*j + 4*n - 327. Suppose 64*p = j*p. Is p >= 2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -136?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(154) - sqrt(154)) + sqrt(154))\/sqrt(7))\/(sqrt(539) + (-2*sqrt(539) - sqrt(539)) + sqrt(539)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.16 + 218.84. Let u = w + -221.5. What is the third biggest value in 1, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 16 (c) 79\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1798670 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1. Let p(u) = -3*u**2 + 24*u - 16. Let y(d) = -5*j(d) + p(d). Factor y(s).\nAnswer: -3*(s - 7)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**3 + 45*t. Let p(o) = -7*o**3 + 44*o. Let x(d) = 4*p(d) - 3*s(d). What is the second derivative of x(i) wrt i?\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 1 = 15*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -772*v. Let d(h) = -3*h + 7. Give a(d(f)).\nAnswer: 2316*f - 5404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/2)\/(7 - 6). Let g be 6\/x - (5 - (-84)\/10). Is g greater than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0073 in 65, -5, -202?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*f + 17. Suppose -c - 8 = v, 4*v + 3 = -3*c - f. Is 36 a factor of (-3 + 60\/(-1))\/(c\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17066, 17049, 17006, 16925, 16794, 16601, 16334, 15981?\n\"Answer: -2*s**3 - s**2 + 17069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 3*h, -5*m - 2*h + 14 = -2*m. Let t(i) = i**m + 4*i**2 + 0*i**2 - 2*i**2. Let g(r) = -10*r. Determine t(g(c)).\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let n(k) = -k**2 + 3*k. Let t be 12\/2*(-2)\/(-6). Let g(r) = t*n(r) + 3*q(r). Let v(w) = 9*w + 2*w - 3*w. Determine v(g(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 669 + -463. What is the greatest common divisor of d and 721?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by 29\nAnswer: -191\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*r = -306*r + 2*a - 18, -55 = 3*r - 5*a for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**3\/5 - 119754*f**2\/5 - 718608*f\/5 - 958176\/5 = 0.\nAnswer: -4, -2, 39924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 10*l - 465. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1034547166 - 1034547204.99999845. Let o = d - -39. What is o rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*-2*7 + -2. Suppose -6*t + f = -3*t. Let i = t - -6. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t. Let j = -15 + 10. Let d(x) = -2. Let q(s) = -15*s + 122. Let l be q(8). Let p(h) = -h - 5. Let w(v) = j*d(v) + l*p(v). Give w(g(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 121*a + 932. Let t be d(-4). Solve -452*y = -t*y + 28 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-16)*g)\/g)**(-28)*g**(1\/41)\/g*g*g*g\/(g*g\/g**(-6\/17)) assuming g is positive.\nAnswer: g**(312027\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 3*l. Suppose 56 = 5*b - 4*m, 0 = -b + 3*m + 20 - l. Solve 5*d - d = -b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*d = 1171, -4*a = -2*d + d - 941. Let r = a - 122. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 13. Suppose 0 = 4*k + 21 + 3. Let p(y) = 1. Let u(j) = k*p(j) - o(j). Let b(m) = -m**3 + 9*m**2 - 8*m - 5. Let d be b(8). Give u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.1 - 16.9. Which is the second smallest value? (a) 1\/2 (b) x (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -427 - -441. What is the highest common factor of 1022 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by ((-10)\/(-5) + -3)\/((-1)\/97).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*w + 39*w + 124*w**2 - 35*w**2 - 92*w**2 in the form o*w**2 + c*w + d and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p + p)*(-2 - 89*p**2 - 1657*p + 1657*p).\nAnswer: -356*p**3 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10360600 to the nearest 100000.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 0, y + 5*o = -2 - 2. Let w = -8 - -9. Let d be (w - 1)*(-7)\/14. Is d less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781655.6 + -7644.933?\nAnswer: -789300.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-35))\/((-9)\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -x - 3*x + 264, 0 = -3*f + x + 182. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 880123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (4 + 1 + -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*q - 14 = -185*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 15. Is (-1 + k)*(-34)\/6 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, i: 3, w: 2, o: 3}. Give prob of picking 1 w and 1 j.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 2\/3, 18, 2\/95, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 - -130. Suppose 2*q - q + 344 = r*i, -2*i + 2*q = -166. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9276*b**4*n - 2*b**4 - 10*n + 1708 wrt b?\nAnswer: -37104*b**3*n - 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -925\/2 + 36073\/78. What is the second biggest value in -3\/8, 13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 4*w**2 + 2*w + 11. Let q be h(-3). Suppose -2*a + q = -5*n - 174, 0 = -n - 5. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5726.446 milliseconds?\nAnswer: 5.726446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.2 from 71782196.\nAnswer: 71782200.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12792?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -4*r - 1780. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - -4.91. Suppose 0 = -4*i - 16. Let t = -2 + 1.8. Which is the second biggest value? (a) t (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**22\/s)\/s*s\/(s\/s**(-25)) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, 0.2, 1\/7 in descending order.\nAnswer: 0.3, 0.2, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -1001000100?\nAnswer: -1000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h - 3*h)*(-247*h**2 + 9*h + 48*h + 249*h**2)*(2*h**2 + 0 + 0).\nAnswer: -4*h**5 - 114*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-144)\/27)\/(1\/3). Let t be ((-18)\/8)\/(4\/z). What is the units digit of 482\/18 + 2\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*y + 33, 2*y = -0*y - 3*t - 19. Let i be (-9)\/y*(0 + (-248)\/12). What is the tens digit of (i + -5)*3\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 + 4*a - 2. Let h(y) = 4*y**3 + 3*y - 2. Give -4*h(o) + 3*l(o).\nAnswer: -o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*((-18)\/(-15))\/(59\/1770)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39 + 11.61. Let z = c - 11. Sort z, -3, 0.1, -1.\nAnswer: -3, -1, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**2 - 3*w**2 - 6486 + 6486. Let s(i) be the third derivative of i**5\/60 - 6*i**2. What is -d(m) + 2*s(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362167299154 - 6*m**3 + 362167299154.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84.63 + 87.39. Round r to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 2*y. Let z(g) = -g**2 + 3*g. Let w(u) = -6*h(u) - 4*z(u). Let i(j) = -2 + 7*j + 2. Give i(w(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 0. Suppose -6 = u - t, -3*u + l*t = 4*t + 14. Is u\/6*(-6111)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8 + 4.8. What is the closest to 0 in -0.1, x, 2.6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 + 8*m**3 - 14*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from rsztttj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2629, -1\/15, 6, -2.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.29, -0.3, 4, 2\/27 in increasing order.\nAnswer: -0.3, -0.29, 2\/27, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let q(v) = -37 - 41 + 26*v + 78. Determine l(q(g)).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013859 to four dps.\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -37. Suppose 4*u - 12 = -w. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**5 + 29*q**4 + 12*q**2 + 57091*q?\nAnswer: 80*q**3 + 348*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = 24*m. Let u(j) = -j**3 - 2*j**2. Let f be u(m). Put 15, f, 2 in increasing order.\nAnswer: f, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*f - 36*f - 63*f - 2 + 2 - 9*f.\nAnswer: -187*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 299129770 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: Round -19.3731247 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -33*f**2 - f. Let n = -17 - -9. Let l(g) = -6*g. Let x(u) = u. Let q(d) = n*x(d) - l(d). Give q(b(j)).\nAnswer: 66*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66516 and 9798.\nAnswer: 4722636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 62 = d + 5*p, p - 170 = -5*d. Let k(j) = 21*j - 82. List the prime factors of k(d).\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1, -2, 5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22.0321 and 0.0055?\nAnswer: 22.0266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.1. Let z = 45.3 - 45. What is the nearest to w in z, -2\/9, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4112567 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5205*v + 5205*v - 814*v**2.\nAnswer: -814*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j**3. Let l be q(1). Let g = l + -7. Suppose g*d + 2*d = 120. Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 2*u + 6. Let n be w(4). Suppose 4*p - 6 = 3*p + 4*m, -2*m - 4 = 0. Is ((-2905)\/n)\/(1\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 63 + 75 = 0. Suppose -c*y = -1 - 29. Let t(r) = -7*r**3 + 0 - 4*r**3 + y*r**3 + 9 - 7*r**2. Determine t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(2\/29))*(y\/y**(3\/7))\/y*(y*y**(-1\/5))**(-4\/5) assuming y is positive.\nAnswer: y**(-5073\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - f. Suppose -3*x + 48 - 60 = f. Which is bigger: x or -48\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972 a factor of 148265800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - 11644542?\nAnswer: -11644514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + (2 - 1)*10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -5*d. Suppose d = 48*x - 50*x + 2. Solve x = -5*z + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {m: 2, z: 4, q: 1, a: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 797978803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19454459, -19454461, -19454463, -19454465, -19454467, -19454469?\n\"Answer: -2*r - 19454457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6724859 centuries in decades?\nAnswer: 6.724859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2. Let t(s) = 5*s + 19. What is 5*p(c) + t(c)?\nAnswer: 5*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -696, -1028, -1342, -1632?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 78885068*0.4\nAnswer: 31554027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(17) - -5*sqrt(833)) + sqrt(17))**2 + -5 + -1 + ((sqrt(17) + -3)*4)**2 + (sqrt(68) - (sqrt(68) + -1))**2.\nAnswer: -96*sqrt(17) + 23689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 532 = 48. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744931.2 micrograms in milligrams?\nAnswer: 744.9312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (sqrt(1377) + -2)**2.\nAnswer: -36*sqrt(17) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -490 + 688. Let k(p) = -8*p - 35. Let j be k(-6). Suppose -8*d = -j*d + 110. Calculate the greatest common divisor of d and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15209416 take away 64.7?\nAnswer: 15209351.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.282943 + -69.28. Let s = r + -0.003. Round s to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 35 = -147. Suppose -4*b + 58 = -3*w, 5*w - 3*w + 3*b + 67 = 0. Are j and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2 + 0*u**2 + 0*u**2 - u**2 + 4*u. Suppose 5*l = -f - 0*l + 22, 16 = 4*f + 2*l. List the prime factors of b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnnsnvsnnnnsssnnn. What is prob of picking 1 v and 2 s?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 6*n + 5*n)*(-2 + 3 - 3)*(-5 + 5 - 3*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a millennium in months?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v - 3. Let m(x) = 251*x**2 + 2*x - 1. Let o be m(1). Let j be 38\/5 + o\/(-45) + 6. Let n(r) = -29*r + 8. Determine j*y(k) + 3*n(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1655, -1655, -1649, -1631, -1595, -1535, -1445?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r + 4 + 5*r + 5*r. Let l be p(-2). Let z(f) be the first derivative of -f**4\/4 - 2*f**3\/3 + 3*f**2 + 3*f - 63. Determine z(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80.495526 + 5711\nAnswer: 5791.495526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 14*z = -1058. Calculate the remainder when z is divided by 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*b + 2. Let v = b - -2. Is v smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/129960 and 193\/2070.\nAnswer: 2989080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 0*y + 4*y = 16, 5*y - 13 = -4*s. What is the remainder when 23 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -o - 51, -3*q = -4*q - 2*o + 24. Solve 4*n - r + 5 = 8*n, 0 = 3*n - 4*r - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 16. Suppose g*m + 28 = 7*m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-1 + 5) - (-19 - -15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:10 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-1155)*(-20)\/1.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:25 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9142755*r**3*u + 2*r**2*u**2 + 5*r*u**2 + 496*r*u - 2*r - u**2 + 11 wrt r?\nAnswer: 54856530*r*u + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -541 + 538. Let c(h) = 3. Let q(v) = -v**2 + 4*v + 4. Let r be q(4). Let p(l) = l + 4. Let a(u) = r*c(u) + t*p(u). Calculate a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 4*z - 19*m - 55828, 0 = 4*m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -147\/1945?\nAnswer: -147\/1945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 344250 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 29\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14353 - -14360. Solve d*h = 4*h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/390 + 7*s**4\/78 + 8*s**3\/13 - s**2 - 115*s. Factor b(t).\nAnswer: 2*(t + 2)*(t + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11652*z - 8. Let i be v(-3). Let l be (-4)\/(i\/174940 + 2\/(-10)). Let w be -264*(7\/(-35) - l\/30). What is w rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24593070 divided by -4918614?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0989 (b) 3 (c) 57 (d) -94 (e) 1\/3 (f) -0.4 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - h = -11, 0*h - 5 = 5*k - 5*h. Let o = -769 - -776. Solve p + k = o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w - 1 - 67*w**2 - 17*w**2 - 8*w + 3*w to p*w**2 + x*w + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)\/(s*s**4))\/(s**(-8)*s\/(s\/s**(2\/11)*s)))\/((s**(1\/2)\/s)**(-7\/9))**9 assuming s is positive.\nAnswer: s**(19\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1.2. Let r(l) = 5*l**2 - 57*l + 16. Let k be r(11). What is the closest to -1 in k, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 + 15*p - 8. Let j be v(-7). Let a be 18\/45 + 156\/j. Let d(l) = l**2 + 8*l - 13. Determine d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 89*d + 3505. Calculate p(42).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 3:55 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(68)*6)**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a. Let m(z) = 40*z + 3. Let c(t) = 228*t + 17. Let f(u) = -6*c(u) + 34*m(u). Determine y(f(v)).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74131.58 decades in months?\nAnswer: 8895789.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 10*o + 1. Let c be p(-9). Let q = -110 - -41. Let k = 69 + q. Solve 2*j - 4*j - c = k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -604*v**2 - 3*v + 62.\nAnswer: -1208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7398977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-152)\/16 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13891 (b) 2 (c) 13 (d) 3 (e) -0.5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f - 5. Let c be z(-3). Let j(x) = -47*x + 1. Let d be j(-2). Calculate the greatest common divisor of d and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1100))*-2 + 0 - (sqrt(1100)*4*-5 + 4))**2.\nAnswer: -2880*sqrt(11) + 356464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*u + 33*u + 130*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + f + 331 + 3*f - 8*f.\nAnswer: -4*f + 339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/42 - 18\/6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/((-692)\/(-55360))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/28524 and 14\/221061?\nAnswer: 884244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 - 104. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1520007*s**3 + 7862576.\nAnswer: -4560021*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*l + 50 = 0, 155 = -q + 43*l + 41*l - 76*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**5 - 159663*g**4 + 2123477637*g**3 + 23381570487*g**2 - 53132935248*g + 27628046784 = 0.\nAnswer: -13, 1, 26616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2 - 7*j**2 - 9*j**3 + 3*j**3 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89692 and -0.5?\nAnswer: 44846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -425*s**2 - 51*s - 51. Let r(t) = 17*t**2 + 2*t + 2. Let v be (1836\/(-90))\/(-2*5\/25). Determine v*r(n) + 2*d(n).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 9 = 14*r. Suppose 5*b - r*n - 222 = 0, -10*n = 4*b - 7*n - 156. Calculate the remainder when 121 is divided by b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.055262 * 5193\nAnswer: -286.975566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2 = 10. Let j(x) = -2*x**f - 13 + 13 + x**2. Suppose -2*i = i + 6. Give j(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0*k - 2*r + 13 = 0, 0 = 3*k - 5*r + 34 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(2 - 0) + (-144)\/48. Solve 0 = 5*m - 3*q + 4*q + 18, -m - v*q + 6 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -1, -52, -159, -340, -613, -996, -1507?\nAnswer: -2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnl when three letters picked without replacement from nqnllqjsnqq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*m + 2, -3*m = -3*q + 7*q - 5. Let z(t) = 19*t - q + 2 - 12*t. Let f(w) = 9*w. Calculate f(z(c)).\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1096, 1122, 1148?\n\"Answer: 26*d + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -537*q**3 - q + 2. Let p be b(1). Let w be 8\/60 - p\/30. Suppose 0 = -6*r + w + 18. What is the greatest common divisor of 48 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:55 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/8 + 103*l\/4 + 10609\/8 = 0 for l.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c**6*p - 8*c**3*p**3 - 2*c**2*p**3 + 53*c*p**3 wrt c.\nAnswer: 1320*c**3*p - 48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66, 218, 466, 804, 1226, 1726, 2298, 2936?\n\"Answer: -p**3 + 54*p**2 - 3*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -7 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 5*k + 15, -4*g = -3*k - 8*g - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -132010032 (base 4) in base 14?\nAnswer: -32c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101646 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8875*f + 480 = 8883*f. Solve -22 = 71*c - f*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5020354 (base 6) to base 15\nAnswer: 49de4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(110) + sqrt(110))\/sqrt(10).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 5*s + 3. Let t be u(-5). Suppose x = t*x - 10. Solve -2*d = -x*g - 12, -12 = 5*d - 0*g - 2*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b**4 - 4*b**3\/3 + 2*b**2 + 4*b - 456. Let j(d) = d**2 - d - 1. What is -c(k) - 4*j(k)?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/461 (b) -3 (c) -5 (d) -2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363871, 1455498, 3274877, 5822008, 9096891, 13099526, 17829913?\nAnswer: 23288052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s - 5*j - 15 = 0, 4*s - 2*j = 28. Suppose 0 = -b - 3*k + 8, -4*b + 4*k + 53 = s. Let f = -8 + b. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/409942 and -13\/12?\nAnswer: 2459652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 935750.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112714207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xcqqxrxqqxqnt.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -575, -452, -309, -146, 37?\n\"Answer: 10*q**2 + 93*q - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c - 3*c)*(0 + 2 - 1)*(12 + 41*c - 12).\nAnswer: -82*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5463.337 + -5461. Round s to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 3, b: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(1\/2))**(-7\/12))**14*(((q*q\/(q\/(q\/q**(2\/5)*q)*q))\/q)\/q)**(-30)\/(q**(1\/8)*q**8) assuming q is positive.\nAnswer: q**(-397\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11860469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 233045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -24492*w - 1187. Is a(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + 48 + 16 + -23?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0021 and -29.\nAnswer: -28.9979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 15*b. Let w be l(-11). Calculate the greatest common factor of 264 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2560 and 574576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 6, r: 2, h: 1}. Give prob of sequence hss.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 41. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4377009739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 0*z + 187 - 201 - 6*z + z**2. Let o be m(9). Solve -5*v = -5*l + 5, 3*l + 5*v = -l + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 39. Let d = g + -19.004. Let z = 0.0098 - d. What is z rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47455, 94930, 142405?\nAnswer: 189880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*z - 60 = -2*m, 0 = -3*m - 4*z + 39. What is the remainder when 1 - (-3)\/(-3) - -31 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/5, 2\/5, 74, 5, 0.35, -2\/9?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -284a03 - 14?\nAnswer: -284a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 2. Let l(g) = 3*g + 2*g - 11 + 0. Let s(h) = 11*c(h) - 2*l(h). Let a(p) = -2*p**2. Determine s(a(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -1*sqrt(88))*3)\/(-1*sqrt(200)) + 4 + sqrt(44)\/sqrt(4) + 2 + -1.\nAnswer: -sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31159 + 31169. Let n = -2.6 - -1.7. Is n equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*x - 94, 0 = -2*x + 5*l + 12 + 13. Calculate the common denominator of -57\/2 and -3 - (24\/x)\/((-31)\/120).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4789863 to the power of 1\/2, to the nearest integer?\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 8*g - 13. Give v(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**3\/3 - 2*g. Let m(b) = -322 - 23*b + 2*b**2 + 164 + 158. What is k(m(w))?\nAnswer: -4*w**2 + 46*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.14537539071 and -383.6?\nAnswer: 383.45462460929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 5\/2)*(1 - 109). Suppose -11*u + m = -u. Let g be 87\/u + 4\/(-18). Solve -2*b + 5*b = -g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 217*y - 9823. Let b = 7 + 3. What is the remainder when z(-144) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 - 20*w + 1. What is v(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 6 - 107 + 245 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0133 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40522, 40504, 40476, 40432, 40366, 40272?\n\"Answer: -t**3 + t**2 - 14*t + 40536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00175 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5752 or 5753?\nAnswer: 5753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34232324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 457998873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122187.\nAnswer: 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40085339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65434.\nAnswer: 2, 32717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*d**3 - d**2 + d**2 + 30*d**3.\nAnswer: 437*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3 - 3 + 20*r - 7*r + 2*r + (-4 - 1 + 4)*(-2 + 2 + 2*r) + 2*r - 5*r + 4*r)*(-26 + 5*r + 27 + 5*r).\nAnswer: 100*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 236 = -4*b + 5*b, -5*i + 230 = b. Let f = 209 - 146. What is the remainder when b is divided by f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786 (base 11) in base 2?\nAnswer: -1110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2)*(-7)\/14)\/((-2515)\/(-503))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(495)\/(sqrt(63)\/sqrt(28)))\/((-4*sqrt(891)*1 + sqrt(891))*-6))**2.\nAnswer: 5\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - -5) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + 4. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7372997.73us to weeks.\nAnswer: 0.000012190803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - -626*(-17)\/(-238)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022743 rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32.9 - -0.01\nAnswer: 32.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y + 1989. Is 33 a factor of h(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 16 = 42. Solve 3*x - 3 = -5*v, 6*x + v - t = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + u - 2615 = 0, 7*u - 3930 = -3*x + 3*u. Find the common denominator of 19\/20 and 3 - (x\/240 + (-117)\/(-195)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -8. What is the second smallest value in k, 4, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*y - y**2 - 3374*y**3 + 1690*y**3 + 1683*y**3.\nAnswer: -y**3 - y**2 - 603*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75.91 or 3?\nAnswer: -75.91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, u: 6}. What is prob of sequence uggu?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-7\/5)*s*s))\/s)\/(s\/(s\/(((s\/(s\/(s\/(s*s\/(s\/(s\/(s\/s**(3\/8)))))*s*s))*s)\/s)\/s*s)))*(s**(1\/5)*s)\/s*s**5*s)**(-40) assuming s is positive.\nAnswer: s**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Suppose 0 = -2*k + 5*j + 22, -1 = -j - 5. Let s = k - -2. Solve 16 = -3*o - q + l, -s*q + 25 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -858241574 rounded to the nearest one hundred thousand?\nAnswer: -858200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 51*u**2 - 545*u + 1661. Calculate f(-33).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 9. Suppose -5 = -s + 5*m, -2*s + 5*m = -4 - 16. Let n = s - w. Solve 0*j = -n*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10768797.\nAnswer: 3, 13, 92041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.62? (a) 0 (b) 0.3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 10. Suppose -4*v + r*v = 472. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -268\/3*d - 29\/3*d**3 + 1\/3*d**4 - 54*d**2 - 136\/3.\nAnswer: (d - 34)*(d + 1)*(d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 2\/83 (c) 4.02 (d) 5 (e) 28 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - s**2 - 2*s + (4 - 4 + 2*s**2)*(0 + 2 - 1).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t + 5. Let v(a) = -9*a - 3. Determine 4*f(s) + 7*v(s).\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3)*6\/4. Suppose x*d - d + o - 4 = 0, -3*o = 5*d - 16. Factor d*y + 0*y**3 + y**2 - y**3 - 4*y + 3*y - y**4.\nAnswer: -y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6857087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -z, 3*m - 2*z + 0*z = 1. Let n be 2544\/(-40) + 9\/15. Let j be ((-36)\/n)\/(1 + 5\/(-7)). Solve -j*y + m + 7 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**4 + 1 - 108*l**2 + 14*l**4 + 104*l**2 - 2 + 11 in the form j*l**3 + t*l**4 + m + c*l**2 + w*l and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04198 * -0.2.\nAnswer: 0.008396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - 1112?\nAnswer: -10b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-10))\/((-1)\/22). Suppose 9 + 24 = s*l. Solve 2*j - 5*j - 3*r = 12, 0 = l*j + 5*r + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.71098 micrometers to kilometers.\nAnswer: 0.00000003771098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -874 + 1579. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 638?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/((-2)\/(3 - 4)). Suppose -p = -h + 5*k, -h - 3*k + 9 = -1. What is the remainder when 56 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6804 and -5?\nAnswer: -34020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:15 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 1030*u**3 - 2040*u**2.\nAnswer: -5*u**2*(u - 204)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3003 + 3013. Suppose 4*v = -3*i + 118, 6*i - 3*i = 5*v + 109. What is the remainder when i is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960*x**5 + 41840*x**4 - 368580*x**3 + 1122525*x**2 - 745875*x - 1113750 = 0. Calculate x.\nAnswer: -2\/3, 15\/4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (280\/20 - -25).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.49, 2, -4, 2\/3, 0.228, 0?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 219?\nAnswer: 94\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = 76*m + 980 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/7 and 13\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/((-74)\/468)*-4*(-6)\/144?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:20 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 38, -4838 in ascending order.\nAnswer: -4838, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 13*t + 44. Give d(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 3*o**2 - 3*o**2 - o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/12 - j**3 - 5*j**2\/2 + 8*j + 36. Suppose 4*y + 5*f + 44 = 0, -f = y + f + 14. Give r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3624 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/3, -6\/35, 5, 1011, -3 in increasing order.\nAnswer: -6, -3, -6\/35, 1\/3, 5, 1011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363855?\nAnswer: 5, 272771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -84*s**3 - 18*s**2 - 105*s + 4. What are the prime factors of n(-6)?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -7 (c) 1\/3 (d) -5 (e) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = a, 15 = 3*i + 2*i - 5*a. Suppose -2*k - 9 = -5*n, 4*n - k + 4 = 13. Suppose 2*b + i*l = 42, -5*l = b - n*l - 20. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43642 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6*14)\/(2\/(-4)). Suppose r = 4*a - 0*a. Suppose 3*c = -4*v + 5*c + a, 0 = -2*v + 3*c + 31. What is the highest common factor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 9. Let k be l(-4). Which is smaller: 22\/9 or k?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106.1 - 23.\nAnswer: -129.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(144)*-3.\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:56 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.126112374518 - -112.\nAnswer: 112.126112374518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -0.2, 2\/19, -2 in ascending order.\nAnswer: -39, -2, -0.2, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -5*y - 7336. Let j = -189 + y. Suppose -6*d + d + j = 0. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4948, 4947, 4946, 4945?\n\"Answer: -z + 4949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/5 - (2 + 1). Let v be -9*(-1)\/(-1) + 1. Let q(l) = 11*l + 15. Let x(n) = -4*n - 5. Let s(b) = v*x(b) - 3*q(b). Determine s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w + 468. Let c(b) = -3*b - 10. What is 45*c(j) + q(j)?\nAnswer: -144*j + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5395159.\nAnswer: 5\/5395159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -918 + -1651.6. Round m to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:53 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5760906 to the power of 1\/2, to the nearest integer?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnsehfeeenjneejjsnee. What is prob of picking 2 e?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 3*p**2 - p**2 + (p**2 - p**2 + 3*p**2)*((2 + 1 - 4)*(-2 + 2 - 2) + 0 - 1 + 2 + 4 - 49 - 61) as b*p + t*p**2 + j and give t.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 11 = l + 20*r - 4*r - 2*r, -4*l - 4*r = -2*r - 38 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*s - 27*s - 2*s**2 + 4*s**2 + (-5*s + 0*s + 4*s)*(-s - s + 0*s).\nAnswer: 4*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = -4*j, 2*j - 12*n = -7*n - 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1) - 10\/(70\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/27 and -73\/2360.\nAnswer: 63720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1658 - 2.\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1498 = -13*v + 1524. Solve -5*o - 12 = 4*m, 24 = -5*m + v*o + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:58 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hinwkkf. What is prob of picking 1 n and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/150*2)\/((-59)\/(590\/12))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 + 15 = 45*a. Suppose -10 = -a*g + 2. Solve 4 = 4*w - 3*w + l, 0 = -l + g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5944724125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13*q + 10. Suppose -5*r - 26 = -4*y - 2, 0 = 3*r - 2*y + 14. Let c(f) = -6*f + 5. Determine r*z(u) + 9*c(u).\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-59 + 34 - (10 - -13)) + -4\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33700 and 67400?\nAnswer: 67400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -81814, -163662, -245546, -327466, -409422, -491414, -573442?\n\"Answer: -18*j**2 - 81794*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-8 - 3) - (-12 + 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 33875 + 33875.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1235412 to 3 dps.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*11\/(-330))\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d + d**4 + (-d - d**4 + d)*(-4 - 4 + 0))*(0 + 0 - 2*d + (-1 + 3 - 5)*(3*d + 32*d + 10*d)).\nAnswer: -1233*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n + 145. Let q be (-22)\/((4 - 12) + 4 - 3*-2). Determine s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1595173 (base 11) in base 16?\nAnswer: -296f31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5608126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 8737899.\nAnswer: 1\/2912633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4557268 divided by 1139317.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let j(x) = -x + 6*x - v*x. Does 13 divide j(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24.95325364 and -14.5?\nAnswer: 39.45325364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2277780 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 193*f + 30 = 196*f, -4*k - 13*f + 4 = -36 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niniinn. What is prob of sequence nni?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from muummumm?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + 0. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 36?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 18 = -w. Suppose 4*b - 2*q - w = 0, -2*q + 2 = -4*q. Suppose -16*n = -b + 147. Sort -3, n, 3.\nAnswer: n, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.68806 - -0.274557.\nAnswer: 44.962617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41863373215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4397.26 centuries in months?\nAnswer: 5276712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -24863920569.\nAnswer: -24863920569.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/(12\/(-9) + 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k + 102*k**3 - 136*k**3 + 24*k - 186*k**3.\nAnswer: -220*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 16) to base 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 62592550 to the nearest ten thousand.\nAnswer: 62590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12 and -1501029780988.\nAnswer: -1501029780987.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3358 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 1:56 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/((-7 + 1)\/(-24)). Let p = -12 + 21. Let f be 30\/p + 2\/3. Solve o + f = k*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156558 divided by -52186\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8750 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 8.836?\nAnswer: -2.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 3. Let p be i(2). Suppose 2*n - 10 = 2*o + 4, -19 = -p*n - 3*o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1111010101100110?\nAnswer: 1111010101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:04 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-12))\/(2\/(-6)). Suppose -353 = l*x - 2*v, -x - 2*v - 25 = 48. Let f = -281\/4 - x. Which is smaller: f or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 8*t**2 + 9*t - 12. Let j be b(-6). Suppose -j*z - 5*q + 54 = -5*z, q - 198 = -5*z. Calculate the greatest common factor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4973 - q + 4973 + 3*q + 537*q**2 to x*q**2 + s*q + i and give x.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:48 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1643584332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6222 - -1.6222. Let x = -8 + 8. Which is the closest to -17? (a) s (b) 2\/21 (c) -2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18*(52 + -67).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271.5 + 271. What is the closest to 0 in 3\/8, -48, y?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -1743*f**5 + 6*f**2 - 378*f + 10622. What is the second derivative of v(d) wrt d?\nAnswer: -104580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -2 - ((-56)\/2)\/2. Suppose d - 5*w - 47 = 0, 37*d - 34*d = -5*w + 21. Solve 4*s = a - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.853954 millennia in centuries?\nAnswer: 38.53954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100212221000 (base 3) to base 9.\nAnswer: -325830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.25, 1\/52, -0.21?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234146858.052 - -25.\nAnswer: -234146833.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (-3 + 5 - (137 - 127)) - 17.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4*j - 1. Let n be w(3). Let z be 6\/33 + n\/(-11). Suppose z*t + 8 = 4*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9612838, 19225676, 28838514, 38451352, 48064190, 57677028?\n\"Answer: 9612838*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 20, 15.7, -2\/9, -2, 395?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emme when four letters picked without replacement from piimiymmipepimiwie.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -731 + 739. What is the lowest common multiple of h and 2404?\nAnswer: 4808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1348 in -4, 4\/5, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*b + 33, 6 = 3*b - 5*k + k. Let m be (5 - 328\/(-3)) + (-2)\/b. What is the greatest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 73, 2, -2, 1, -5045 in ascending order.\nAnswer: -5045, -6, -2, 1, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31401 - 6166?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = 4*l - 595, 2*a - 2*l = 380. Let x = a + -574\/3. Find the common denominator of x and -99\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19 - -18)\/(4 + (-18)\/4). Solve -5 = -w*u + p, 0*p + 11 = -u - 4*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhddvhvovhvvohvdvho. What is prob of sequence dvod?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 544 = -8*n. Let r = n + 133. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 7, e: 1, z: 4, j: 4, o: 2}. Give prob of sequence moe.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120010 - -1201?\nAnswer: -111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:26 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/22 + 3\/11. Let k be 2\/(12 + -6 - 5). Let -1\/2*v**k + 7\/4*v - 7\/4*v**3 + p = 0. What is v?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2191 = 61*u + 178 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1047)\/(-3490))\/((-9)\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 35. What is the second derivative of 6*n + 17*n - 120*n**c + 17*n**5 + 120*n**2 wrt n?\nAnswer: 340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**5 + 3*f**4 - 4*f**3 + 5*f**2. Let n(t) = t**5 + 5*t**4 - 6*t**3 + 7*t**2. Let q(v) = 7*g(v) - 5*n(v). Suppose q(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 27 - 33 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 55\/20 - (-1)\/4. Suppose 27 = w*c - 93. Let z = 54 + -43. What is the remainder when c is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 7, l: 1}. What is prob of sequence lq?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from huggguhhguu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*2*sqrt(91))\/(-5*-2*sqrt(7)) - ((-1*sqrt(208) + -2)**2 + 2*(sqrt(1872) + -1)).\nAnswer: -210 - 197*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, h: 2, g: 1, f: 1, v: 1}. What is prob of sequence vlf?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmmmmbggfmmm. What is prob of sequence bm?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -477984 divided by 6?\nAnswer: -79664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114206795.\nAnswer: 5, 22841359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15495634 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 245*m**2 - 7*m + 9. Let g be c(3). Suppose 0 = -9*j + 5433 - g. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 0.0229.\nAnswer: -0.004351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q + 19 - 47 + 28.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 327\/8175*8450\/13\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -q - 217, 2*q = -5*p + 215 + 165. Suppose -w + p = w. Let v = -18 + w. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -3*r + 2*c + 334, -c + 1 = 3*r. Factor 0 - 12*v + 3\/2*v**4 - 21\/2*v**r + 21*v**2.\nAnswer: 3*v*(v - 4)*(v - 2)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/857 - 6870\/5999. Which is the second smallest value? (a) -1 (b) 0.1 (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*k**5 + 276\/5*k**2 + 33\/5*k**4 + 96\/5 - 138\/5*k**3 - 264\/5*k = 0. Calculate k.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) + 29285\/10. Let v = -2944 + j. Let g = 173\/2 + -90. Find the common denominator of g and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:24 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 206 = p, -p - 3*p + 3*c = -893. Is p 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 435797 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7872899.\nAnswer: 239, 32941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + j + 2. Let o(b) = 5197*b**3 - 18*b**2 + b + 4. Let v(s) = -3*f(s) + o(s). Find the third derivative of v(g) wrt g.\nAnswer: 31182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 2\/5145 (c) -1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 106, -5, -1.\nAnswer: -5, -1, 0, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*z - 33, 0 = 31*j - 52*j + z - 193 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -863*t - 7. Let w be c(11). Round w to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from niinn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274000 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -17, 23, 3 in decreasing order.\nAnswer: 23, 4, 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 8, g: 6}. Give prob of picking 2 n and 1 g.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 12 = -36. What is the nearest to -1 in -0.3, j, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.3704kg in milligrams?\nAnswer: 27370400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -8)\/(2 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2 or -2\/75?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/3))\/d**(-2\/17))\/((d\/(d*d**0\/d))\/(d*d**(-2\/3))) assuming d is positive.\nAnswer: d**(-11\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - q)*(-3*q + q + 4*q) + 4527*q**2 - 12715*q**2 + 5471*q**2 + (-1 + 2 + 0)*(-4*q**2 + 2 - 2).\nAnswer: -2723*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 620, -803, -2226?\nAnswer: -3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 take away 1.4?\nAnswer: 782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (630\/75)\/((-1)\/(-5)). Let s = -47 + x. Is s at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.9, -5, 0, -0.2, -1\/20 in decreasing order.\nAnswer: 4, 0.9, 0, -1\/20, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i - 170 = -54*i. Suppose i*f - 48 = -238. Put 3, 4, f, -2 in increasing order.\nAnswer: f, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.026 in 6, 2, -71\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*u + 12, 10*u - 16 = q - 109. Let p be (-15)\/(-4) - (-1)\/4. What is the nearest to -0.1 in q, p, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28212, -28210, -28208, -28206, -28204?\n\"Answer: 2*x - 28214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1828 + 1920 - (105 + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 15*b**2 + 22*b - 74. What is a(8)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2392534 at least as big as -16747730\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 16*i + 9. What is the units digit of q(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432.9385nm to kilometers.\nAnswer: 0.0000000004329385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 43*f - 19 - 166, -2*f + 5*f + 27 = -3*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68006, 68013, 68026, 68045?\n\"Answer: 3*i**2 - 2*i + 68005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -2.32. Let k = j - -0.8. Sort -1, -2\/11, k in descending order.\nAnswer: k, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045456 minus 19?\nAnswer: -18.954544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, 1 z, and 1 x when four letters picked without replacement from vjxrz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4327 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t**2 + 7*t + 7. Let d(u) = 4*u**2 + 3*u + 3. Let w(o) = 9*d(o) - 4*z(o). Let f be w(-1). Solve 2*g = 3*g + f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -208?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 - -458. Let g = d + -207. Solve g - 27 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 28*l**2\/5 - 118*l\/5 - 28.\nAnswer: -2*(l + 2)*(l + 5)*(l + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x + 92. What is the remainder when n(7) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g = 39*g + 3*y - 58432, 21 = 7*y. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -154, -352, -628, -982, -1414?\n\"Answer: -39*s**2 - 3*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234558945 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 + (-177)\/12. Let f = y + 24. Let h = f - 5. Solve 2*k + 7 = -h*o - 7, 8 = k - 3*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (140 + -124 + (-25 - 1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 1183*g - 1219*g - 494. Let b(i) = -4*i - 75. What is b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/14)*a)\/((a\/a**(-17))\/a) assuming a is positive.\nAnswer: a**(-223\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -735747\/46124 - -1659\/104. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p - 8 = -2*o, o = 4*p + 4. Suppose 0 = 2*u + o*v - 14, 5*u + 3*v = 26 + 16. What is the remainder when 42 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -448.000386 - -448. What is v rounded to 5 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 616.1472cm?\nAnswer: 6161472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 41*w = 45*w - 7449, n - 5*w - 2464 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2)*8\/6. Let s(q) = 4*q**2 - 1. Let a be s(1). Let l(n) = 0*n**2 + b*n + n**2 - 4*n**a + 3*n**3. Calculate l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63536\/7 + -13724203\/1512. Calculate the common denominator of w and 113\/252.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 - c + 6. Let z(o) = 11*o**2 + 1 - 8 + o - 5. Let f(u) = 13*v(u) + 6*z(u). Suppose 3*g = -6, -g - 3*g = 2*m. Give f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/14 - (-2)\/14. Let r = 10 + -8. Does 6 divide (-27 + q)\/((-3)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 3*d + 53. What is the greatest common divisor of 120 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(14)\/sqrt(128))**2 + (-3*sqrt(567)*3 + sqrt(567))**2 + -3.\nAnswer: 145147\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 438*b**2*t**3 - 389*b**2*t + b*t**3 + t**4 - 4*t**2 wrt t.\nAnswer: 2628*b**2 + 6*b + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + d - 1. Let a(r) = 6*r**2 - 3*r + 13. Let g(b) = a(b) + 3*h(b). What is the derivative of g(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + 6*p - 10*p as v + y*p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(-3*q**4 - 2*q**4 + 6*q**4) + 154*q**4 - 312*q**4 + 160*q**4 - 4265*q to the form c*q + s*q**4 + l*q**2 + x + v*q**3 and give c.\nAnswer: -4265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -246 + 1481\/6. Which is the nearest to -1? (a) 6\/7 (b) 2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(-2)\/15*3. Let c be ((-12)\/2)\/(61\/(-3) - -21). Sort c, 0, j in descending order.\nAnswer: 0, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/8478 and 34\/481833.\nAnswer: 2890998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = i - 2*i, 5*l - 7 = 4*i. Let p = l - 4. Let b = p + 1. Solve 0 = u - 2*z - 4 - 3, b = 4*u - 4*z - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -627*d - 274. Does 12 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, -1, -13, -4 in ascending order.\nAnswer: -13, -5, -4, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1299172 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzdddddzddzzdzd. Give prob of picking 2 z and 2 d.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:31 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2. Let b(v) = 1388*v. What is n(b(h))?\nAnswer: 7706176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3737 - 63533\/17. Sort r, -1\/5, 0.2 in descending order.\nAnswer: 0.2, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12050, -24133, -36204, -48257, -60286, -72285, -84248, -96169?\n\"Answer: s**3 - 12090*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5588554123*v**2 + v**3 + 11177108244*v**2 + v**3 - 5588554121*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/20 and -91\/5662504.\nAnswer: 28312520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216391 is divided by 598?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*n*w**3 - 3168266*n*w - 80894838*n wrt w?\nAnswer: -51*n*w**2 - 3168266*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 65985 divided by 265\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 - -4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 2*g**2 - g. Let w be o(1). Let m(x) = 18 - 11 - 8*x + 34*x + 5*x**2. Let p be m(-5). Solve -w*i = -5*b + 10, b = -i - p*i + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 6. Let u be n(7). Let s(i) be the third derivative of -14*i - 2*i**2 + 0 + 7\/6*i**3 - 1\/24*i**4. Let t(d) = 2*d - 15. What is u*s(y) + 6*t(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -15. Suppose 3*a + t*a - 2916 = 0. Suppose 11*x = -x + a. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-2 + -1 + -8). Let p = o + -8. Suppose 7000 = -a - p*a. What is a rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*j**3 - 13 - 25*j + 27*j - 53*j**3 - 2*j**2 to x + z*j**3 + r*j + l*j**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 13*y - 28. Let l be h(-3). Suppose -2 = 2*r - 0*r. Sort l, r, -3.\nAnswer: -3, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66491, -132979, -199467, -265955?\n\"Answer: -66488*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -17*f - 630. 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: 40.739*-2\nAnswer: -81.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 5*x**2 - 46 + 2855 - 725 + 3292.\nAnswer: -x**2 + 5376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9944*x**5 + 30825*x**2 + 17*x.\nAnswer: -596640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (14 - 40 - -6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 4*y**2 - 14*y + 11*y + (y - 2*y + 2*y)*(6*y + y - 5*y) + (0*y + 0*y - y)*(-y - 2 + 2))*(2*y - 4*y + 0*y).\nAnswer: -14*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -25 and -8334 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**2 + 57 - 126 + 18*u + 60 - u. Let c(j) = -5*j**2 + 8*j - 4. Calculate -6*b(n) + 13*c(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4980 + 847*v - 4980 + 315*v + 9960 to o*v + y and give o.\nAnswer: 1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, j: 1, s: 4, t: 2, v: 8, b: 1}. Give prob of sequence stj.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 7.8. Let w = -377.6 + 396.6. Put w, c, -3, 1\/2 in increasing order.\nAnswer: -3, c, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72722439*l*w + 34*w + 884698 wrt l.\nAnswer: 72722439*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2318703957 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:19 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151.99 - 152. Which is bigger: -0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1146 + -1565?\nAnswer: -41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*c + 717 = 0, -4*y + 716 = -0*y - 4*c. What is the common denominator of -1 - (-1)\/(4\/y) and 8\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102546 is divided by 172?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -6.973?\nAnswer: 4.1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8757250 is divided by 826.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.190895.\nAnswer: 0.954475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -22, 210 in decreasing order.\nAnswer: 210, 5, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13476 and -0.5.\nAnswer: 6738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38028 is divided by 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*a + 1 = 583 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -720*x**2 - 4*x - 2. Let d(h) = 59040*h**2 + 330*h + 165. What is -2*d(s) - 165*k(s)?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9157\/24 - 383. Let y = 10469 + -156961\/15. Calculate the common denominator of i and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/422, 5, -4, 0.1, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 694? (a) -204 (b) 4 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.024 and 0.16.\nAnswer: 0.16384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/7, 0.47, -1524, 0.1, -21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: c4 (base 13) to base 9\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2762, 0.3 in descending order.\nAnswer: 2762, 5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 2893?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 2*b**3 - b**2)*(2*b + 2*b - 5*b) + b**4 + 2*b**4 - b**4 + 3452*b**2 - 3452*b**2 + 7*b**4 - 23*b**3.\nAnswer: 11*b**4 - 23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4*n - 2)*(2132353 - 2132353 + 23540*n) as m*n + i + x*n**2 and give x.\nAnswer: 94160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 2:16 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1962 + -1960. Which is the nearest to 2? (a) 0.5 (b) s (c) -0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/18)\/((-2)\/(-9)). Is (100\/j)\/((-32)\/(-48)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiwxwxxxxwxxbbxibxxi. Give prob of picking 2 i and 1 x.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11 and 67\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -h + 3, 0*x = h + 2*x - 3. Factor -1\/4*t**4 - 1\/4*t**h + 1\/4*t + 0 + 1\/4*t**2.\nAnswer: -t*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let t(l) = l + 23*l + 7*l. Calculate t(h(m)).\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16315 and 1255.\nAnswer: 16315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 + -16 + 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68\/3 - -23. Let v(p) = -p - 1. Let u be v(-4). What is the third smallest value in u, -5, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 11*x + 8. Determine b(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -421*l**3 + 8*l**4 - 5 - 6*l**2 + 418*l**3 + 2*l - 3*l**4 in the form u*l**4 + k*l**3 + f*l + c*l**2 + b and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 1:16 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*q + 25, -5*q - 10 - 27 = -4*v. Let z(m) = -2*m + 2. Let k be z(v). Let x be 57\/(-30) + (-6)\/k. Is x > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 995 - 992. Let g(t) be the first derivative of 0*t + 0*t**2 - 1\/3*t**w + 2*t**5 + 0*t**4 - 5. Find the third derivative of g(d) wrt d.\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -137, -573, -1299, -2315, -3621, -5217, -7103?\n\"Answer: -145*d**2 - d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + (-4)\/(-6). Let y(p) = -p**2 + 8*p**2 - v + 2*p**2. What is y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36555*t**4 - 9*t**2 - 89*t - 6?\nAnswer: 877320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1487)\/(-5) + 4\/(-10). Suppose 0 = -3*j + 5*n + 91, -5*j + 4*n = -0*j - 143. What is the greatest common divisor of j and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1200 or -422312?\nAnswer: -1200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(405) + sqrt(405)*-2) + 1)**2.\nAnswer: -36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/9 - 12\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 705715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*i = 320*i + 4*d - 12, 0 = -2*i - d + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18019 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0716 in 5, -2\/37, -2\/7, 7?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from zulzlzulzllzzz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 65 = -21. Let h = 61 - o. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(48))\/sqrt(8) + -3*sqrt(12)\/sqrt(2))\/((sqrt(16) - (sqrt(112)*1 + sqrt(112))\/sqrt(7))\/(sqrt(24)\/sqrt(12))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 65*m - 266. Let l be y(7). Let d be (-84)\/l - 110\/(-45). Factor -12\/5*x**3 - 8\/5*x**4 + 0*x**d + 4\/5*x + 0.\nAnswer: -4*x*(x + 1)**2*(2*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 142 + -183 - 1\/(0 + -1). Let o be 325\/q + (-28)\/32 + 1. Which is greater: -41\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o + 8. Suppose 0 = -t + 5*s + 12, 5*s + 12 = 2*t + s. Suppose -2*x - 6 = -3*d - 32, 3*d + t*x + 34 = 0. Is p(d) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 483 + -288. Suppose -l = -6*i + i. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11411130 (base 7) to base 16\nAnswer: f6e22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/280 and 47\/252.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 1 - 24\/1. Let d be (-25)\/r - 11\/11. Suppose 4*j + 11*x = 9*x + 10, -j - 5 = -x. Is j at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 - (0 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5626259 + -4144\nAnswer: -5630403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rexexrxxxxeexf. Give prob of sequence xxf.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 5. Let b be t(6). Let p(j) = 1. Let g(l) = l + 4. Let a(q) = 2*g(q) - 4*p(q). What is the remainder when a(b) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181577995 greater than 181577993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10024.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68)\/sqrt(4) + 2) + 5.\nAnswer: -3*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 20 + 8 - 1.\nAnswer: -9*j + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427338425.\nAnswer: 5, 17093537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*g - 4*f + 2*f, 0 = -4*g + f + 32. Suppose 44 = -g*v + 19*v. Solve -6 = 2*j + j, v*s - 2*j = -8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -976251250 + -27\nAnswer: -976251277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (14 - -9 - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t - 13. Let u(d) = -20*d + 39. Let y be (-505)\/(-30) - (7\/(-6) + (4 - 3)). Give y*q(g) + 6*u(g).\nAnswer: -g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 (base 11) in base 8?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 66*x**2 + 183*x + 6785. Calculate v(70).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-2))\/((-7)\/868)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 100*h**5 - 63*h**5 + 5 + (4*h**3 - 4*h**3 - h**3)*(h**2 + 3*h**2 - 2*h**2) - 2*h**5 + 2 - 2.\nAnswer: 33*h**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16469256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-6)*(-78)\/78\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0 (b) 419 (c) 4491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 1. Let n be o(-1). Let d = -51.06 + 52. Let j = 0.06 + d. Which is the second biggest value? (a) j (b) n (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, -2, 0.3, 3\/11, 0.0119?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 0*f - f + f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**6\/39 + 12*n**5\/65 - n**4\/2 + 8*n**3\/13 - 4*n**2\/13 - 9. Solve y(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5625 + 1791 = -649*t + 1575 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131964 and 416.\nAnswer: 13724256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 3*g**2 + 5*g - 12. Let x be j(3). Let y(d) = -2*d - 63*d**2 + x*d - 2 + 64*d**2 + 1. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 1482.\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.11, 2, -2, -1\/21, 18?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 12 - 20943*n + 46 + 13.\nAnswer: -20943*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 - 3)*(2*l - 2 + 2 + (0 + 2 - 3)*(l - 4*l + l) - 5*l + 0*l + 0*l - 20*l - 36*l - 36*l) to the form u*l + j and give u.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (6 - ((12 - (2 + (-1 - -16))) + 6))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 less than 3?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + 12.2. Let a = -12 + l. What is the nearest to 0.1 in -3, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10402*k = 10468*k - 990 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 4)*(9\/(-21) + -1). Let p be ((-935)\/n)\/(8\/(-16)). What is the greatest common divisor of 33 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*c + z + 44, -63 = -3*c - 3*z. Let m = 18 - c. Suppose 0*j = m*j - 4. Solve -2 + 6 = j*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001761289475 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 + 28 = 5*x, 2*x + 16 = 2*k. Let g = 45 - 85. Let j = g - -67. Calculate the greatest common divisor of j and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59056129 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 226*r + 4. Let w(s) = -12*s. Determine j(w(i)).\nAnswer: 144*i**2 + 2712*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {j: 5, k: 11, x: 2, a: 1}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 - -365. What are the prime factors of j?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5709)\/(-692)*300\/(-5775)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - s**2 + 0*s**2 - 4*s**2 - 3*s**2 + 4*s**2 + (-1 + 1 - 5*s)*(4*s - 2*s + 0*s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3787*t - 3783*t + 33 = 0, -2*g = 5*t + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(128))**2 + sqrt(2) + 2 + (-2 + sqrt(242) - sqrt(2) - (sqrt(2) + sqrt(320)\/sqrt(10))).\nAnswer: -384 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**5 - 1001*c**2 + 1001*c**2 - 3*c**4 + (0*c**2 + 3*c**2 + 0*c**2)*(c**3 + c**3 - 4*c**3).\nAnswer: -12*c**5 - 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 - 149. Let s(f) = -f**3 + 28*f**2 + 2*f - 23. What is the remainder when s(28) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/10*((13464\/48)\/33 + -11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17924.\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = -3524*w + 3539*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700918 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15 - 26\/(-10). Let g = 3 - h. Suppose 2*j = g, -3*r + 216 = r - 5*j. What is the greatest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1517 and 976497?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.087 - -49.38. Which is the closest to -7? (a) 5 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.271608 litres?\nAnswer: 9271.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 72*m - 39*m - 80 + 42 + 63*m to q + n*m and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10739217.0152 + -31.\nAnswer: 10739186.0152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + g - 4*g + (-13 - 24 + 9)*(0 + 4 - 3)*(-2*g - 12 + 12).\nAnswer: 57*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 22 = -0*n. Suppose 4*x + 18 + n = 0. Let p be x\/(-15)*6\/4. Solve -2*w + p = 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -520, -1, 6, -2, -8, 0.4 in decreasing order.\nAnswer: 6, 0.4, -1, -2, -8, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1. Let n(v) = -8*v**2 - 3*v. Let w be (65\/(-10) + 5)*(1 + 1). Let z(y) = -21*y**2 - 8*y. Let c(d) = w*z(d) + 8*n(d). What is -c(q) - g(q)?\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -4 + (-3 - -5). Solve 5*f - 5*m = 20, t*f - 18 = -2*f + 4*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 3532*k**2 + 10 + 21724*k**2 to j*k + p + t*k**2 and give t.\nAnswer: 18192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from pdsppuppp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -649 (base 12) to base 5.\nAnswer: -12141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/17 or -0.164955?\nAnswer: -33\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -10 + 4 - -2) + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:43 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681 not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.254 + -0.011. Let d = 3287 + -3284.383. Let l = t + d. Round l to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a**2 + 5*a + 17. Let q(n) = -2547*n - 2. Calculate q(s(f)).\nAnswer: -25470*f**2 - 12735*f - 43301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 0.2, -5, 22, -2\/153?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02458271 rounded to 4 decimal places?\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 524 and 12.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*c - 28, -3*m + 98 = 6*c - c. What is the greatest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 1. Let s be (0 + -2)\/((-3)\/6). Let i(j) = 1 - 2 + 2*j - 5. Let g(q) = s*c(q) - i(q). What is the derivative of g(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h - 207. Let d be x(21). Solve -23 = -2*p + 5*p - 2*o, d*p - o = -19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {e: 2, l: 2, s: 2, b: 1, y: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*n = 2*l + 65500, -n = 0. Let w = 41331 + 11769. Let c = l + w. Round c to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359264616?\nAnswer: 2, 3, 19, 47, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -172868*n**3 + 4*n**2 + 6*n - 24. Let a be l(-5). Factor 9897376 + 285*g**3 + 219*g**3 + 2000376*g + 35895*g**2 + 2*g**4 + 11733*g**2 + a.\nAnswer: 2*(g + 63)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b14b - -1931?\nAnswer: -1941a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -217*r - 199. Let i(k) = k. Let n be (212\/(-20) + 9)\/((-4)\/10). Let g(o) = n*i(o) - q(o). Differentiate g(f) wrt f.\nAnswer: 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -436*y**2. Let l(g) = g + 140. Give l(s(f)).\nAnswer: -436*f**2 + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 9 + -16 - (-89 + 16)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 f, and 1 e when four letters picked without replacement from {f: 11, e: 2, z: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*h**4 - 14960*h**3 + 41525*h**2 + 23620*h + 1860 = 0.\nAnswer: -31, -2\/5, -2\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 4*j + 33, -5 = s + 5*j. Suppose 5*f = -0*w + 4*w + 1357, 2*f + s*w = 523. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438613523?\nAnswer: 438613523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 39. Let c = 30 - z. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -59, 4, 10 in increasing order.\nAnswer: -59, 4, 10, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/5)\/(14\/2625). What is the highest common factor of r and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 - 2*u**2 + 60*u**2 - 22*u**2.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*b + 923 + 6982 = 0. Solve 6*p + 11*p + b = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 23*w - 4*d = 4, 0 = -2*w + 4*d - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6))**2 + -2 - (sqrt(70)\/sqrt(5))\/sqrt(2).\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6108 divided by 6.\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**4 + 2 - o + 103*o**2 - 105*o**2 + 14*o**4 in the form q*o**4 + a + l*o**3 + m*o + n*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100100111010 (base 2) to base 11\nAnswer: -1858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34940399.39 - -0.4.\nAnswer: -34940398.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + a + 1. Let p(r) = 2*r**2 - 4*r - 2. Suppose -4*y + 2*y = -4. Suppose -x - y = -2*x. Give x*p(o) + 6*j(o).\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 69, 105, 141, 177, 213?\n\"Answer: 36*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*z + 2*l - 4*l, -4*l + 12 = 0. Suppose 10980 = -7*y + z*y. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -4 + (-4)\/(-2) + 2451. Suppose a - c = 1748. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15756, -15735, -15696, -15633, -15540, -15411, -15240, -15021?\nAnswer: -14748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -1 - 1 - -2. Suppose 5*q = 42*q - 74. Find the third derivative of 3*h**k - h**2 + 11*h**3 + h**q wrt h.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/6851503 - 40417016461\/904398396. Let b = n + 179\/4. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/12*2\/156. Let g = -127\/585 + w. Let p = 0.7 + -0.2. Which is the smallest value? (a) p (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*x + 1882 = -1186 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 1741035 = -4497355. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(34))\/sqrt(2) - sqrt(17))**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132)*-6 - sqrt(132))\/((sqrt(144) + sqrt(144) + sqrt(144)*1 + sqrt(144) - sqrt(144))\/sqrt(12)).\nAnswer: 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22263 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 - (-13 + 16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -40, 0, -11, -56, 1 in decreasing order.\nAnswer: 5, 1, 0, -4, -11, -40, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 47*o + 43. Let l be i(-1). Sort 0, -5, l, 4 in decreasing order.\nAnswer: 4, 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5343 (base 12) in base 11?\nAnswer: -6944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137176 + 4?\nAnswer: 137202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 174 + 182 = 0. Let s(w) = -11*w**2 + 7*w - 5. Let k(v) = 5*v**2 - 3*v + 2. Calculate f*s(g) - 9*k(g).\nAnswer: -g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*i + 3*i - i)*(2 + 2*i - 4 + 1) to x*i + v + f*i**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -10. Let g = n - 0.9. Is 2\/7 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 - (-12)\/10. Let m be (-345)\/(-50) + 4\/(-10). Let a = m + -35\/6. Is i at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 2910048 = 26*s - 3*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -14 (b) -1\/3 (c) -38158 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -29. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*z**4 + 27*z**4 - 10*z**4 - 2*z**3 + 8*z + 3*z**4 - 3*z**4 + 2*z**4 + (2*z - 2*z + z**2)*(-z**2 + 2*z**2 + z**2) + 0*z**4 - z**4 + 2*z**4.\nAnswer: 3*z**4 - 2*z**3 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 881 - 440 - 441 - 3*m**2. Let x(h) = -65*h. Determine x(v(r)).\nAnswer: 195*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 4. Let c(n) = n**2 - 7*n**2 + 2*n**z. Let x(s) = -77*s**2 - 79*s**2 + 224*s**2 - 83*s**2. What is x(c(j))?\nAnswer: -240*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 20 = 2*l - 24*u, -2*u - 10 = -4*l. Let f = -12.68 - 0.32. Which is the smallest value? (a) -0.1 (b) l (c) -4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -1) + 2\/(-4))*(-10)\/110*16?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -40563486 divided by -1\nAnswer: 40563486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/277, 0.05, 1.5, 7, 1\/4, -1\/5 in ascending order.\nAnswer: -1\/5, 2\/277, 0.05, 1\/4, 1.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = -2*b, -f - 6 = -4*b + 4*f. Suppose b*k + 3*i + 25 = -159, k - 4*i + 65 = 0. Is 3 - (-3 - (0 - k)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 - 4 + 6 - m**3. Let z be g(-2). Solve -4*j + z = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*j - 3*f - 23, -j - 4*f = 14. Let p = -7 - j. Suppose -q + 4 + 1 = 0. Solve -w = 4*o + p*w, 0 = -5*w + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215*q + 131?\nAnswer: 215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + -12. Let w = -29 - j. What is the greatest common factor of w and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*s + 4, 2*s + 1 + 0 = 3*d. Let v be -5 + (s - -2) + 1. Are -2\/23 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/11)\/n)\/n**(-1\/2))**(2\/17) assuming n is positive.\nAnswer: n**(-15\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*c - 10 = -4, -c - 1 = 0. Suppose 12 = -4*r + h*o, 3*r - 5*r - 3*o = -9. Solve -2*p + z = -8, r = 3*p - 3*z + 5*z - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 15 = 0, -f - 8*x + 14 = -4*x for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(0 + sqrt(1900)*2 + (0 + sqrt(1900))*-4)*6*6)**2.\nAnswer: 157593600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 16060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**4 - 2*c**3 - 5416*c**2 + 151629*c - 1 wrt c.\nAnswer: 36*c**2 - 12*c - 10832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.114 (b) -0.9 (c) 90.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 13 + 0 + (1 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-3\/4)\/l*l)\/l)\/l*l\/l**(2\/19))\/(l**(-1\/4)\/l*l*l*(l\/l**(1\/9))\/l))**(-2\/19))**(-41) assuming l is positive.\nAnswer: l**(-34973\/3249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5769*r**2 - 3177102*r + 168504.\nAnswer: 3*(3*r - 1652)*(641*r - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1834975 and 725.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/12 - 5*d**3 - 30*d**2 + 99*d. Let a be b(32). Solve 0 = 2*z + a*x, 1 = -4*x - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1377444*h**4 - 7943154.\nAnswer: -5509776*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1950 = 2*d - g - 1837, -724 = 51*d - 2*g - 263 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y + 26. Let i be b(-2). Solve -i*g = 8 - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzsszzssss. Give prob of picking 4 s.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.004429+1\nAnswer: 0.995571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + (-5 - (-10 + 1) - 8) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6644341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -617*v + 7392. Determine k(9).\nAnswer: 1839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p**5 - 11325*p**4 + 54215*p**3 - 68965*p**2\/4 - 254235*p\/4 - 19985 = 0. Calculate p.\nAnswer: -571, -1\/2, 7\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -208*(-3)\/2 - 3\/(-1). Let t(w) = 44*w + 1. Let q be t(4). Suppose -4*a + u = -q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 8. Suppose 0 = -0*a + 5*a + 50. Let o be l(a). Let w = o - -1. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.253 - 335496.68.\nAnswer: -335496.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13 + 0*z + 11*z - 2 + 16. Give g(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3576 divided by -9\nAnswer: 1192\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4560 times 124.1?\nAnswer: 565896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/53353943 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*r - 102*r - 109*r as p + w*r and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -738, -2932, -6586, -11700, -18274, -26308?\n\"Answer: -730*x**2 - 4*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 25. Calculate the remainder when r is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*p + 18*p + 38171. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000674970414 to 7 decimal places.\nAnswer: -0.000675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 rounded to 2 dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3421108*b*m - 621353950*b + 63*m wrt m.\nAnswer: 3421108*b + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:18 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 4 + 0)*(0 + 0 + 1) + 3 + 0 - 2)*(-2*t + 0*t + 10*t)*(35 - 6 + 39) to x + f*t and give f.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 51276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 201111221 (base 4) in base 13?\nAnswer: 4a201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 64 + 76 = 0. List the prime factors of (1 - c)*(8 + (-450)\/63).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14822719 is divided by 747?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 1, y: 4, s: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 0*h**2 - 6*h**2.\nAnswer: -6*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/8 - 2857*l**3\/4 - 2187237*l**2\/2 - 504967099*l - 75988781440 = 0 for l.\nAnswer: -442, 7040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6464 (base 14) to base 9.\nAnswer: -25702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 20*f**2 - 19*f + 14. What is the smallest common multiple of g(19) and (-70)\/(-5) - -1*2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*n = -0*n - 35, -y = 5*n - 13. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-811)\/5*(-125)\/40. Let p(t) = t + 513. Let i be p(0). Let h = s - i. What is the common denominator of h and -99\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 310.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 33*w**2 - 4438*w - 16020. Determine v(138).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3459026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 + 87*f**3 - 1101*f**2 + 2649*f - 1638 = 0. Calculate f.\nAnswer: -39, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824473 to the power of 1\/2, to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053 minus 47372982?\nAnswer: -47372981.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52870601 is divided by 1069?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. What is the derivative of 22*b - q + 0 - 26*b wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114098*f**3 - 111*f**2 - 88945717*f wrt f?\nAnswer: 684588*f - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*m + 204*m + 156*m + 177*m + 265*m to the form u*m + p and give u.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -7. Let t = -2 - 2. What is the nearest to a in -2\/5, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let g(s) = 539*s**2. Determine g(t(d)).\nAnswer: 539*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 12 = -0*c. Let q(s) = -s + 4. Let z be q(c). Solve 3*a - a - z = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pva when three letters picked without replacement from aapppppppppapvp.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, v: 5}. Give prob of sequence vttv.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4435340)\/(-245) - 12\/(-28)*-1 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134371772?\nAnswer: 2, 97, 223, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/9 of a week?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.4, -9\/7, 0.4, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(-2*sqrt(10)) - sqrt(24)) + sqrt(24) - sqrt(24) - (sqrt(24)*-1 - sqrt(24))*5)\/(2*(-2*sqrt(288) + sqrt(288))).\nAnswer: -17*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8 and ((-9)\/(-4))\/((-15)\/18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1\/6, -2, -2\/89, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s**7 + 0*s + 0*s**5 + 0*s**6 + 0*s**3 - 21*s**2 + 1\/84*s**8 - 1\/4*s**4 + 0. What is the second derivative of c(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1181 + 1220. Suppose -17 = -h - 5*o, 4*h = -44*o + t*o + 38. Calculate the smallest common multiple of ((-22)\/4)\/(1\/(-4)) and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 + 4*v + 8. Let f be i(6). Let z = 118 + -117. Let w = 0.04 + -2.04. What is the nearest to z in -3, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -50*m**4 - 4*m**3\/3 + 5*m - 15. Is x(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2. Let z(w) = 54*w**2 - 72*w. Let x(p) = -p**2 + p. Let o(r) = 72*x(r) + z(r). Give o(v(l)).\nAnswer: -450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 5 + 2*q - 4*q. Let z(i) = -i**3 + 4*i**2 - i - 2. Let g be z(3). Determine d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 5*q + 6. Let b be h(4). Suppose -8 = -3*t + 2*a + b, -5*a - 25 = 2*t. Suppose t*p = -2*p. Is 4\/5 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*sqrt(4235) + sqrt(4235))\/(sqrt(525)\/sqrt(3)).\nAnswer: -11*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -73. What is the least common multiple of u and 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q = 383 + 149 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 7*k**2 + 1. Let p be c(7). Suppose q - 7 = -2*q - m, q = -5*m - 7. Suppose 3*y + 5 = -4*t, q*t - 2 = -2*y - 5. Is p at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-6 - (-5 + 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375273?\nAnswer: 3, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 98*q - 1347. What is the remainder when t(14) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-225)\/10)\/9*(-108)\/15. Solve 0 = 3*y - 21*y - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -96*n + 299. Calculate the remainder when m(-1) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.8002 millilitres to litres.\nAnswer: 0.2908002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*z - 2*z. Calculate the remainder when 44 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3309873 divided by 3?\nAnswer: -1103291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 1. Let t(m) = -2*m**3 - 8*m**2 - 4. Calculate -t(w) + 6*u(w).\nAnswer: 2*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 2998 - 12112. Let f = -183 - n. What are the prime factors of f?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 731836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkywnnnjwjkdkn. Give prob of picking 1 j and 2 k.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k**4 - 20*k**3 - 4*k**2 - 5*k - 5. Let n(c) = -48*c**4 - 60*c**3 - 12*c**2 - 16*c - 16. Let x(a) = -5*n(a) + 16*z(a). Factor x(o).\nAnswer: -4*o**2*(o + 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (778*j - 778*j - 1160*j**2)*(0*j**3 + 3*j**3 + 0*j**3).\nAnswer: -3480*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310275054 is divided by 4459.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 3.2. Let u = -794 - -805. Let m be ((-1)\/u)\/((-52)\/286). What is the nearest to m in b, 5, 9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220 + 31. Let g = d - 106. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*o - 0*o + 55, -3*z + 5*o = 64. Let m(y) be the second derivative of y**3\/3 + 5*y**2\/2 - 45794*y + 1. Give m(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2614 + -3?\nAnswer: -2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 3 = 0. Sort 2, -2, i in increasing order.\nAnswer: -2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -9. Suppose 0 = c - 7 - h. Let m = c + -17. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611252 (base 7) in base 16?\nAnswer: 19529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -256*i**2. Let b(c) = -c**2. Calculate b(j(o)).\nAnswer: -65536*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 5*p + 34. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/10, 126, 2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 - 8 = 0. Solve h*t + 2 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 305*-1 - (7 - 7). Let o be l\/(-20) + 1\/(-4). Let q be (-74004)\/10 + 6\/o. What is q rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*d = -26, -d = -5*r - 13 - 162. Let u = 61 + r. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/11 (b) 3 (c) 1\/3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*i*u**4 - 50*i*u**3 + 847*i*u - 41*u wrt u?\nAnswer: 3720*i*u**2 - 300*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.58 and -10339681.7?\nAnswer: 10339679.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppzppppzppppppp?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 537*z**3 - 4*z + 177*z**3 + 4*z + 2 + 77*z**3 in the form m + u*z**3 + n*z**2 + o*z and give u.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 3 = -58. What is the second derivative of 4*g + 11*g**5 + 13*g + 5*g - 13*g**x wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*b - 755 - 46 = 85*b. Put 4, 0, 2, b, -10 in descending order.\nAnswer: 4, b, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1442 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/320)\/((-6)\/(-8)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbqbqbqb. What is prob of sequence bbq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 33. Suppose -u*k + 7 = -5. Solve -5*x + 2*j = k - 28, 3*x + 2*j - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 159, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12472\/99 - 121) + -5?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**12\/v**(-2\/3)*(v\/v**(1\/4))\/v*v\/(v\/(v\/((v**(-6)\/v)\/v))*v)*v assuming v is positive.\nAnswer: v**(257\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 550886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13773.7, 0.5 in descending order.\nAnswer: 13773.7, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Solve 25 = 2*l + z*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 11*y - 33. Let a be f(-6). Let t be ((-2)\/(-5))\/((-1)\/(-5)). Let c(p) = 1 - 3*p - p**2 - t*p + 3*p. What is c(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 487.4 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*m - 4*c, m - 4*c - 12 = -0*m. Let a be (5 - 1 - m)\/(-1). Sort 5, a, -5.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 6. Let a(r) = -42*r. Let x(y) = -y. Let u(j) = f*a(j) + 35*x(j). What are the prime factors of u(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**3*x**2 - 4521*q**3 + 277*x**4 + 1 wrt x.\nAnswer: -6*q**3*x + 1108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (27 - 23)) + -4 + -2 + -4 + 38\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/30 - (0 + (-2)\/5). Let m(n) = 132*n**2 + 7*n - 1. Let y be m(w). Let k = y + -296. Is 44 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7369 divided by 1125\nAnswer: 7369\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 15. Suppose -2*t + 20 + 1 = y*h, 3*h + 3*t - 9 = 0. Suppose -45 = -5*c - 5*k, -3*k = h*c - 4*c - 11. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 bigger than -4790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s - 2*s - s)*(-2*s + 4*s + 0*s) + 2*s**2 + 4*s**2 - s**2)*(18*s**3 - 5283*s + 5283*s).\nAnswer: 54*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - ((-4 - -3) + -84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*u = 64*u - 469 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y - 2. Suppose 3*j - 22 = -28. Let i be (-6)\/(-3) - (24 - j). Let q be i\/(-20)*-5 - (0 + 0). Let f(r) = 19*r + 4. Calculate q*f(w) - 13*s(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15554 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 61*x = -43*x - 1848 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 115.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -99 * 0.5\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39\/46 - 8\/23. Let o(g) be the second derivative of 10*g - c*g**4 + 0*g**3 + 0 - 7\/2*g**2. What is the derivative of o(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 1228*b + 9922. Calculate c(-8).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 87 = 5*g - 3207, 0 = -4*t. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -7*l. Which is smaller: l or -16\/101?\nAnswer: -16\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 5. Let l(j) = 7*j - 14. Give -5*l(x) + 14*n(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u = 4*u - 367 - 365. Solve -4*j - u = -7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from ykkekyyyyfekcyrk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12206 divided by -359?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 259, 769, 1669, 3007, 4831, 7189?\n\"Answer: 8*c**3 + 147*c**2 + 13*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 7 - (48 - 57). Solve 22 = w*p - 7*p - 2*g, -2*g - 30 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23*j - 28. Let z be g(4). Let k = 160 + z. Let h = k - -183. What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.769 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3005, -3015, -3007, -2981, -2937, -2875?\n\"Answer: 9*p**2 - 37*p - 2977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1093, 8675, 29279, 69421, 135617, 234383?\n\"Answer: 1086*c**3 - 5*c**2 - 5*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(243) + 1) + -1 + sqrt(243)*1*5)**2.\nAnswer: -216*sqrt(3) + 8752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 47290 (base 12) to base 11\nAnswer: 65780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -2*y. Suppose -a - y*a + 28 = 0. Calculate the greatest common factor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3466\/(-76) - (-64435)\/3682) + (-4)\/(-38)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28587 (base 13) to base 10.\nAnswer: 75654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97.68767 and -403203?\nAnswer: 403300.68767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12619 = 331799*d - 332068*d + 3742 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 13.\nAnswer: 150\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143) + sqrt(143) + sqrt(143))*-1)\/(sqrt(11) - sqrt(55)\/sqrt(5)*-4).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2. Let t(m) = 3 - 34*m + 16*m + 21*m. Let g(u) = 16*u + 16. Let f(c) = -2*g(c) + 11*t(c). What is -f(k) - n(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 62 + 50. Calculate the least common multiple of ((-66)\/(-4))\/(3\/4) and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947278 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, 0, -4 in increasing order.\nAnswer: -4, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 1. Let r(g) = 16*g - 4. Determine 2*r(y) - 11*x(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 1. Let z(s) = s**2 - 6*s - 1. Suppose 4 = 2*h - 5*j, h - 2*j - 10 = -h. Let c be z(h). Let i be x(c). Let v(a) = a**2 + 5*a. Give v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90501, -724007, -2443523, -5792055, -11312609, -19548191?\n\"Answer: -90501*m**3 + m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*i - 3*p, 0*i - 3*p = i + 711 - 718 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100 + 17415\/90)*7\/((-308)\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g + 3*s - 0*s, 0 = 5*g - 2*s - 30. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 8, w: 3, y: 6}. Give prob of sequence wyxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110101101010100100 (base 2) in base 14?\nAnswer: -1c29c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*-410.21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/840 + 2*a**5\/15 - 6*a**2. Let c(q) be the third derivative of b(q). Let f(n) = n. Give c(f(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31039680 and 10976.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**3*z + 21985*x**3 - 2*x**2*z**2 - 3*x*z**2 - 12*z**2 wrt z?\nAnswer: x**3 - 4*x**2*z - 6*x*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 7*s + 0*s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g - 57 + 15. Put -0.02, -2\/7, -2\/5, g in descending order.\nAnswer: -0.02, -2\/7, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.065 + -0.035. Let n be ((-3)\/4)\/((-18)\/16). Let t = 0.9 + -0.6. What is the smallest value in n, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u - 8 = 0, 4*g - 3*u = -0*u + 14. Suppose -2*a + 0*a + 4 = 0. What is the remainder when g is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-29)\/m**(-1\/3) assuming m is positive.\nAnswer: m**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 167*t**2 + 2526*t + 1889. What is w(181)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a**3 + 65*a**2 + 3*a + 6. Let z be o(-4). Calculate the highest common factor of z and 5445.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62426567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -3*t**6\/40 + t**5\/30 + t**4\/12 + t**3\/6 - 3*t**2. Give u(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/15)*(t\/(t**(-2)\/t*t))\/t*((t*t**(1\/17))\/t)\/(t*(t*t**4)\/t) assuming t is positive.\nAnswer: t**(-461\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 - -147. Let y = 0.13 + -0.18. What is the closest to b in y, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 435967.6 micrograms?\nAnswer: 0.0004359676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-22 - -9 - -18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -19*v - 43. Let j be w(-11). Let x = -164 + j. Solve -10 = 4*q - x*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1919 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)\/(p*p**(-6\/5)))\/((p*p**3)\/p*p**(2\/7)))\/(((p\/(p*p\/(p**3\/p*p)))\/p)\/p*p*p*p**(-2\/7)*p\/(p*p**(2\/3))*p\/(p**(-2\/15)*p)*p) assuming p is positive.\nAnswer: p**(-169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20)*(-25)\/35?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.37 + 1.5. Let n = 298.942 - 299. Let t = m + n. What is t rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179034031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 851643.805 rounded to the nearest ten?\nAnswer: 851640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69438.79 hours to nanoseconds.\nAnswer: 249979644000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 273 - 267. Solve -4*q + r + 6 - 16 = 0, -q + 2*r - p = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.000388153 rounded to 3 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 82*d + 453. Let l be b(-6). Let a = -159 - -243. Let j = l + a. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4439 and 161.\nAnswer: 31073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 2*m**2)*(-3*m**2 - m**2 + 3*m**2) - 4*m**4 - 9*m**4 + 18*m**4.\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-12))\/(10\/(-45)). Suppose -5*j = r*a - 12 - 10, -3*a = -3*j - 6. Sort j, 12, 0, -1 in ascending order.\nAnswer: -1, 0, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-35))\/(((-5)\/500)\/((-6)\/135))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6123 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -465 - 9*z - 117 + z**4 - 10*z wrt z?\nAnswer: 4*z**3 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from wwwwwzwzwzzwwwzwzs.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8736 and 3994172.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*18\/27*(-12)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 8. Let t be k(5). Solve -s = -0*s - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 4*v + 3. Let h be c(0). Let o be -1 - (-32 - -6) - (4 + -3). Calculate the highest common factor of o and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/168535 and 99\/3644?\nAnswer: 674140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 13*c - 13. Is 19 a factor of u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 2 = -9*g. Find the third derivative of 5*x**g + 25*x**5 + 30*x**5 - 75*x**5 + 20*x**2 wrt x.\nAnswer: -1200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1172, 6, -3, 12 in descending order.\nAnswer: 12, 6, 1, -3, -1172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 0.11 (c) 20 (d) 4\/3 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*v - 2, -5*v + 15 = 5*d - 0*v. Suppose -5*l + 2 - d = 0, i = 4*l + 3. What is the remainder when i\/(3 + (-25)\/8) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (2 - (4 + -4)). Let r(a) = 16*a**2 + 2*a - 3. What is the remainder when r(w) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -47?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 - 8*h**4 - 48*h**3 + 256*h**2 + 1024*h.\nAnswer: h*(h - 8)**2*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110451 by -818.\nAnswer: 110451\/818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m)\/(m\/(m\/(m*m*m\/(m**(-6)*m)*m*m)))*(m\/(m\/(m\/(m\/m**(-5))))*m*m*m)\/(m**(3\/8)*m) assuming m is positive.\nAnswer: m**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -17*z**2 + 1. Let a(q) = -q**2. Let m(p) = -2*a(p) + w(p). Let i(x) = -7*x**2. Determine -5*i(s) + 2*m(s).\nAnswer: 5*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 23074032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -3*j**5\/20 + 3*j**4\/4 + 19*j**3\/6 - j**2\/2 + 13*j. Calculate the remainder when 141 is divided by z(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1376 - -3a?\nAnswer: -133a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*o + 67190, -q + 3*o = 5045 - 18455. Does 60 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1701.00783s to days.\nAnswer: 0.019687590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = 24*s - 29*s. Solve 10 + s = 21*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13450415 (base 6) to base 4.\nAnswer: 1233232223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yecxe. What is prob of sequence xyc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -45*h - 6. Let n(m) = -214*m - 28. Let r(g) = -3*n(g) + 14*o(g). Let d(z) = -149*z**2. What is d(r(c))?\nAnswer: -21456*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65936.8 tonnes in micrograms?\nAnswer: 65936800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 594 - 1184 = -590 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.97 - 34.97. Sort 1\/3, y, -2.\nAnswer: y, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 35704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-1*2 - sqrt(133))\/((sqrt(7) - (2*sqrt(343) + sqrt(7))) + sqrt(7)))**2.\nAnswer: 171\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4779 - 4777. What is the third smallest value in 1\/2, q, -0.4, 5, 10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071098?\nAnswer: 2, 3, 115061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(-6 + 3 - 2*k + 1).\nAnswer: 10*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -513, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 3*z**2 + z**2)*(-20 + 86 - 25 - 25923*z**2 - 41).\nAnswer: 51846*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 10:01 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/17 - 1116216*j\/17 - 29020264\/17 = 0.\nAnswer: -558082, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -177*l + 7614. Let x be t(43). Solve 2\/3*q**2 + x*q - 1\/3*q**3 - 6 = 0.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2408610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 588747, 588754, 588761, 588768?\n\"Answer: 7*w + 588740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 3*y - 64. Let b(i) = -6*i**2 + y + 7*i + 7*i**2 - 2. Calculate b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 30*p + 10. Let i be f(-14). Let h be 29 - ((-4)\/i - 68\/(-18)). What is the second derivative of -9*n + 4*n - n + h*n**3 wrt n?\nAnswer: 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 67. Suppose 0 = p*s - 8*s - 4. Sort 4, 2, s in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (60\/(-30))\/((-2)\/(-13))*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1050 divide 1718641174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -382 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174288237 bigger than 174288238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1590302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -22704709.3.\nAnswer: -22704708.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 75. Suppose 0*p = c*p - 117. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, -0.56, 4\/3, -12226 in ascending order.\nAnswer: -12226, -21, -0.56, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*k = -2*u + 16, 5*u = -3*k + 30. What is the tens digit of (-4977)\/(-27) + 0 + 2\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 3\/80*f**5 + 0*f**3 + 2*f**2 + 0*f - 7\/480*f**6 - 1\/48*f**4 + 0. Factor y(i).\nAnswer: -i*(i - 1)*(7*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -27. Let f be 24\/16*l\/6. Let m(q) = 2 + f + q**2 + 3*q - 5. Calculate m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042086643 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1095 * 0.28\nAnswer: -0.03066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {u: 6, p: 3, r: 2, g: 2, y: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013677 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164534 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -h + 215, 0 = 2*h + 5*y - 300 - 160. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 1}. What is prob of sequence rj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0256 times -4?\nAnswer: 0.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1876 and 426?\nAnswer: 399588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000132570354 to 6 decimal places.\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19230409109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 19 = 29. Suppose 5*g - p*g - 2 = 0. Let r = 0.1 - 0.1. Which is the closest to r? (a) 0.3 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -3 (b) 2 (c) -0.24 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12400, -19089, -25778, -32467, -39156?\nAnswer: -45845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 + 2*g - 1. Let u(x) = -x**3 - x + 2. Let k(r) = -2*a(r) - 3*u(r). Let d be k(3). Solve -d*m - 3*h = -17, 0 = -5*m - 5*h + 4*h + 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -1333.\nAnswer: 25\/1333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -3 (c) 1\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-4)\/3*(-33)\/(-44). Suppose 0 = 4*s - y - 900, -2*s = s - i*y - 666. Let o = s - -81. Round o to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -5\/2, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -85fa4 (base 16) to base 10\nAnswer: -548772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 106*w + 149. Let h(z) = 248*z + 297. Calculate -3*h(x) + 7*t(x).\nAnswer: -2*x + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/5 + 320\/64. Which is the closest to 0.09? (a) -1\/3 (b) -2 (c) h (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*d*(d**(-4\/7)\/d)\/d*d*d)\/d))**(-21)\/(((d*d\/d**(-4\/15))\/d*d)\/(d*d**(1\/7)*d*d*d*d)) assuming d is positive.\nAnswer: d**(1247\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429?\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 54, 1, 0.4, 7\/5, -1, 0, -0.113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/67))**20 assuming z is positive.\nAnswer: z**(40\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 14. Let g be 2 + 0 - (14 + -16). Let u be m(g). Put -4, u, -1 in ascending order.\nAnswer: -4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, s: 9, d: 1, u: 1, l: 4}. What is prob of sequence llad?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37726 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 - 5*o**2 - 7*o + 2. Let b(f) = f**3 - 2*f**2 - 3*f + 1. Give 7*b(v) - 3*y(v).\nAnswer: -2*v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 71, -12 in decreasing order.\nAnswer: 71, -12, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4009*x - 4103*x + 376 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1422 + 398 - 4*m**2 - 16*m + 144*m = 0. Calculate m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - c8976?\nAnswer: -c897a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q - 2090 = -80*q. Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 6. Let p be i(-6). Let l be 16\/9 - (-4)\/p. Determine q, given that 4\/7*q**3 - 2\/7*q - 2\/7 + 4\/7*q**l - 2\/7*q**5 - 2\/7*q**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1996, -1996, -1970, -1906, -1792, -1616, -1366?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -1193427.\nAnswer: -4\/132603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 1780, 4021, 7158, 11191, 16120, 21945?\nAnswer: 28666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1275 - -1298. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + -3*sqrt(192))*2.\nAnswer: -32 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 16. Suppose -b + 30 = -j. Suppose 5*k - a - b = 0, -38 = -4*k - 2*a + 7*a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*s = 2*i - 16, -i + 3*s = -9. Suppose -i*o = o. Let q be ((-69)\/(-46))\/((-3)\/(-4)). Solve d + y - q = o, 5*d + 20 = 5*y - 0*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.36479918 times 3\nAnswer: -1.09439754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 36*z + 271. What is the units digit of y(85)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5405 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((7\/(-63))\/((-4)\/36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o*o*o)**(-42)\/((o**(-2\/7)*o)\/o)**(2\/107) assuming o is positive.\nAnswer: o**(-125828\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 324229 * 577\nAnswer: 187080133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*h**3 - 310*g**3 + 25*g**2*h**4 wrt h?\nAnswer: 3*g**3*h**2 + 100*g**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11 = -5, 0 = -n + 3*q - 9. Solve 2*v - 35 + 15 = 3*p, -3*p = n*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2833*h**3 - 2829*h**3 + h**2 - 2836*h**3 + 11330*h**3 - 2829*h**3 - h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-530)\/159 + -2 + 14\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-36)\/(-486))\/(4\/(-30)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 45*g - 362. Determine s(-29).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9322, 18563, 27804?\n\"Answer: 9241*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 17. Let s = -206 + o. Let p = s + 131. Sort -1, p, 0.3 in descending order.\nAnswer: 0.3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 15*a - 10*a - 15 = 0, -3*a + 9 = j. Suppose 0 - 1\/6*z**3 + j*z - 1\/6*z**2 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 3*r**2 - 3*r + 4. Let l be ((-4)\/(-6))\/((-4)\/18). Is s(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179559\/20 - 8980. Find the common denominator of o and (-123)\/(-4)*4\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (((sqrt(567) + -2)**2 - sqrt(567)) + 4)) + sqrt(567))*-6.\nAnswer: -378*sqrt(7) + 3450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 6. Let s be (m - 0)\/1 - -21. Let h = 89 - s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 606 + -607. Let j = -6\/7 + 29\/42. Which is the second smallest value? (a) x (b) 2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/1)\/(10\/25). Suppose -r = -5*r + u. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*o**2 - 28369*o - 208*o**3 - 10*o**2 - 3*o**6 + 28369*o wrt o.\nAnswer: -360*o**3 - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = 2*j - 5*f, -f + 2*f = -j - 191. Let x = -127 - j. Suppose 0 = -9*i + 7*i + x. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -2*p + 144. Suppose 4*g = 4*c - c - 67, 0 = 5*c + 4*g - p. Let q be (-8)\/10 - (55\/c - 6). Solve 0 = 2*v - q*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*q - 144. Factor -13 + 13 - q*u**2 - 15*u + 26*u**2.\nAnswer: u*(u - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -42 - 14*a**3 + 4*a - 13*a**3 - 10*a**2 + a**2 + 26*a**3. Is x(-11) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 454*k**3 + 14. Let v(y) = -y**3 - 2. What is -4*q(t) - 28*v(t)?\nAnswer: -1788*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2657187 divided by 204399.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, 6376, 0.1, -2\/7.\nAnswer: -2\/5, -2\/7, 0.1, 1, 6376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1542 - -6065. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 102*h - 2470. Let a be d(-62). Solve 2*s = -4*p - 12, -3*s - 2*p - a = -4*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 1. Let f be 6\/(-10) + 9\/(90\/(-4)). Let p be x(f). Solve -2*l - 6 + p = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 49 (b) 0.05 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**4 - 36005*r**3 - 12000*r**2.\nAnswer: -5*r**2*(r + 2400)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6455*-0.3\nAnswer: -1936.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f. Let j(r) = 2*r + 740. What is x(j(m))?\nAnswer: -12*m - 4440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. Let i be ((-12)\/126)\/(2\/6). Which is the third biggest value? (a) -1 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45230 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j**3 + j**2 - 1. Let q(f) = -19*f**3 + 6*f**2 - f + 7. Let u(l) = q(l) + r(l). Let b be ((-7)\/3)\/((-1)\/3). Give u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23306057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 109 in descending order.\nAnswer: 109, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1543 - 1543 + 5619*v)*(1 + 1 + 0)*(-3*v + 2*v + 0*v).\nAnswer: -11238*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, -86, -4, 0 in decreasing order.\nAnswer: 18, 2, 0, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c*h**2*x**3 + 63*c*h*m*x**3 + 2*c*x**3 + c*x + 78*h**2*m*x**2 - 10*x**3 + x wrt m.\nAnswer: 63*c*h*x**3 + 78*h**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45930 and 458831514.\nAnswer: 9186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000259762164 rounded to seven dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11180)\/10062)\/(35\/6).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8923\/243450 + 21\/2705. What is the common denominator of v and -23\/18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7 - 6 + 21*c as f + w*c and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w**3 + 4*w**2 + 670*w - 5961. Let a(q) = 63*q**3 - 23*q**2 - 4020*q + 35764. Let t(f) = 4*a(f) + 23*o(f). What is the derivative of t(n) wrt n?\nAnswer: -3*n**2 - 670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7 and 103\/2385992.\nAnswer: 2385992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = 15. Which is the closest to -1\/4? (a) -0.04 (b) w (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 22*c**2 - 62*c + 40. What is m(-19)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68 - -2367?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1888746 by -2.\nAnswer: -944373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-180))\/(2*(-15)\/18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -70. Let s(h) = 2*h**2 + 14*h - 1. Let i be s(z). Let y(k) = -k**3 - 13*k**2 - 4*k - 15. What is the units digit of y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.19 - -6.4. Let v = 0.79 + g. Which is the nearest to 1\/2? (a) 4 (b) v (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600001 <= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28070.2 + -28431.7248. Let b = u - -328.53. Let v = -33 - b. Round v to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1b - -683b?\nAnswer: 5920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 251 - 268.9. Let h = 2.4 - -15.6. Let s = b + h. What is the nearest to 0 in 5, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(36\/(-16)) + 4. Let x = 2 + j. Solve 4*m - 6 - 6 = 0, x*k + 5 = -m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -676211652.428901 + 676036892.64. Let j = -174760 - h. Let b = 0.211 + j. What is b rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20049 - -20057. Let u(s) = 47 + s**2 + 19 - 10*s + 22 + 11*s. Let d be u(0). Calculate the highest common factor of d and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -238*l*o*z**2 - 14543*l*z - 11591*o*z**2 + 2*z**2 - z - 2 wrt o?\nAnswer: -238*l*z**2 - 11591*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 9. Let a be ((-36)\/42)\/(1\/(-21)). What is the greatest common factor of g and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167391.\nAnswer: 3, 7, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*n**2 - 464*n**2 + 237*n**2 + 136*n in the form v*n**2 + h + f*n and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5267609?\nAnswer: 5267609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**2 + 38*w - 11. What is q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 187711*j**2 + 3*j - 4. Let w be d(-4). Suppose 0 = -5*b - 5*z + 3250010, 5*b - 246644 = -2*z + w. What is b rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*l = 0, -1 = 5*l - 3*l + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**8\/112 - o**7\/35 + o**5\/10 + o**4\/8 - 5*o**2. Suppose z(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1028, 1035, 1042, 1049?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 55, 88, 121?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -1. Let v = 5.3 + -4.9. Which is the third smallest value? (a) v (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*z - z. Let i be 10*(28\/z + 4). Suppose 20*x - 8 - 4 + 6 - 14 - i*x**2 = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m**2*s - 29*m**2*y + 90*m + 10*s*y - 2*y wrt y.\nAnswer: -29*m**2 + 10*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1755652 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -11 + -3*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q + 2*q + q + (0*q + 0*q - q)*(4 - 3 + 1) + 6*q - 5*q + 6*q - 1 - 2*q + 1 + (4 - 3 - 2)*(-2*q + 0 + 0) - 2 + 2 - q in the form h*q + s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2562*z + 535610. Calculate w(209).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 - 10*x + 20*x - 20*x + 10*x.\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xqxqxqxxxxxxxxx.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let u(s) be the third derivative of 3*s**3\/2 - 3*s**2. Let f(p) = t(p) + u(p). Let h be f(-7). Solve -h*g - 4 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + 12 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.6475 millennia in months?\nAnswer: 3331770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7567833 divided by -399.\nAnswer: 18967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.63? (a) 7 (b) 4 (c) -2\/7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21742498 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j = 38. Let n = -11 - j. Let m = n + -7. Is m equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -4*m**6\/3 - 3*m**5 + 115*m**4\/24 + 25*m**3\/4 + 5*m**2\/2 - 2*m + 2. Let y(w) = 0. What is w?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 886305*p**4 - 707321*p.\nAnswer: 10635660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 23 - 48 - 6*m + 23. Give k(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 208267*s**2\/3 + 416522*s.\nAnswer: s*(s + 6)*(s + 208261)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.446 (b) -9460 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -49 and -48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-42)\/(-18))\/((-2)\/(-30)). Let m be 2\/(-7) - (-640)\/o. Calculate the highest common factor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 1\/240*v**5 + 0 + 0*v - 11*v**2 + 1\/96*v**4 + 0*v**3. Determine t so that u(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 4*i**2 + i - 1. Let n be q(-3). Suppose n*p = -4*a - 19, 4*a = -a - p - 29. Let m(l) = l**3 + 7*l**2 + 8*l + 9. What is m(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1864)\/(-103685)*5\/4*1\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414384 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 17*u**2 - 12*u + 67. Suppose 70*s - 73*s = 48. Let v be q(s). Solve -4 = v*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -13*m**6\/10 + m**5\/20 + 19*m**4\/6 - m**2 + 72*m - 1. What is the third derivative of w(x) wrt x?\nAnswer: -936*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/12)\/((-12)\/32). Let v(d) = -3 + 5*d - 11*d + 7*d. Give v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.197 from 498543964.\nAnswer: 498543964.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 4615 in decreasing order.\nAnswer: 4615, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -21, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(-q + 2*q - 3*q + (2*q - 3*q - q)*(47 - 19 + 62)) + (1 - 2 + 2)*(-3*q + 3*q + 2*q).\nAnswer: -180*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 8:04 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 2*k + 2. Suppose 32 = 3*r - 322. Let z = r - 120. Calculate s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3677951*i*n**2 + 1917*i*n + i - 2*n + 21 wrt n?\nAnswer: 7355902*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzq when three letters picked without replacement from gqkqkwqkqzqgkquzkgz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34707 + 34682.7. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4696502 is divided by 2348242?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/14)\/(0 + -1). Let u(d) = -36*d - 5432. Let o be u(-151). What is the closest to -0.3 in o, -6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**5 - 9*y**4 - 13*y**3 + 18109*y**2.\nAnswer: 60*y**2 - 216*y - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 3 - -1)\/2. Suppose -3 = k*d - 11. Find the third derivative of -4*c**2 + c**5 - 19*c**d - 2*c**5 + 19*c**4 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268067810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5, 2*l - 13 = 3*p - 3. Suppose 4*o - 1195 + 23 = p. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.1. Let y = c + 0.3. Which is smaller: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/29? (a) -9 (b) 0 (c) -0.2 (d) -2.6 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/9)\/((c*c**(6\/11))\/c))**4*((c**6\/c*c)\/c**7)\/(((c\/c**(1\/2)*c)\/c)\/c**(2\/3)) assuming c is positive.\nAnswer: c**(-949\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m*m*m*m\/m**2)\/(m**(2\/5)*m)**42 assuming m is positive.\nAnswer: m**(-283\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200 - 196. Solve 3*u - 10 = i*w, -u + 2*u + 3*w + 1 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8019*s - 5891*s + 4467*s as z*s + k and give z.\nAnswer: -9443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 46, 5 in increasing order.\nAnswer: -3, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.8247421122302 from -1.\nAnswer: -2.8247421122302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 - 151 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 - 19\/2*p**2 + 11*p + 7\/2*p**3. Is b(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -719\/42 - -653\/56. Let u = 13127\/20 + -657. What is the common denominator of u and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35974?\nAnswer: 2, 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3\/5, -2\/13 in decreasing order.\nAnswer: 25, -2\/13, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = -4. Let q(i) = 3 + 2*i**n + 2*i**3 - 3*i**3 - 2 - i + 2*i**3. Is q(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h**2 + 4*h + 7. Let j(f) = f**2 - 1. Let z(k) = 5*j(k) - q(k). What is the derivative of z(a) wrt a?\nAnswer: -28*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233739587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2. Let b = -79 - -128. Suppose -4 = 5*a - b. Let r(p) = 20*p + 15*p - 2*p - a*p. Determine f(r(z)).\nAnswer: -1152*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 r when four letters picked without replacement from {d: 1, c: 5, w: 3, r: 1, t: 4, o: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4629, -9601, -14581, -19575, -24589, -29629, -34701?\n\"Answer: -l**3 + 2*l**2 - 4971*l + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = 3*a, -l - 32 = -4*a. Let d(r) = -r - 12. Let t be d(l). What is the second derivative of 3*f + 4*f**5 + t*f - 4*f wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-25 + (19 - -2 - 4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*r + 232*r = -2*d + 12, 12 = 2*d - 4*r. Solve 469 - 499 = d*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 17.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Let g = 0 - k. Suppose 0 = -4*r - 0 - 4. Which is the nearest to 1? (a) g (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 12 + -2 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -150954 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -4782511?\nAnswer: 4782502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:42 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42115.55ng to tonnes.\nAnswer: 0.00000000004211555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -387 + 398. Let m(s) = 3*s**2 - 4*s - 13. Let j(h) = 16*h**2 - 19*h - 66. Let w(p) = -2*j(p) + 11*m(p). List the prime factors of w(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 90, 303, 726, 1431, 2490, 3975?\n\"Answer: 12*y**3 - 3*y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -20*j + 485. Let m be b(24). Let y(l) = -2*l**2 + 2*l + 1. Let r be y(-1). Sort r, -1, m, -7.\nAnswer: -7, r, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n. Let c(l) = -4*l + 5. Let q(h) = 2*h - 2. Let f(v) = -2*c(v) - 5*q(v). Calculate j(f(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/3)\/(6\/(-27)))\/((-918)\/5814).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - x + 4*x + 18 - 4*x. Let q be b(-13). Let y = q + 65. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 120 = -p + g, -p + 5*g + 114 = 0. Let s = p + -72. Suppose 3*n = -2*j + n + s, 0 = 5*j - n - 100. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2211?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 10*s - 11. Let l be i(8). Let p = 43 + l. Suppose -25 = 3*j - 10, 4*g + 4*j = p. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 9*j + 4. Let u be (-405)\/5*4\/6. Let b = 44 + u. Let l be x(b). Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 13. Solve f = -3*n - 0*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/5 - 49*y**2\/5 + 183*y\/5 - 27 = 0.\nAnswer: 1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 18. Let q be ((-4)\/(-6))\/((-12)\/a). Let k = 79\/30 - 17\/15. Sort -0.3, k, q in increasing order.\nAnswer: -0.3, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846*z**2 + 366*z**2 - 96*z**2.\nAnswer: 1116*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 4, z: 8, a: 5}. What is prob of picking 1 l and 3 e?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.2 greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + r + 7, n + 2 = 2*r + 5. Suppose 4*c - 97 - n = 0. Let g = c + -20. Solve -5*y = -3 - g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, 2\/13, -34?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 2041.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5860 and 2880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 26. Let t(v) = -3*v - 3. Let m be t(-2). Let n = m - -1. Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 + 7*x + 8. Let l be d(-4). Round l to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 223150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 137401961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 4*i**4 + i**4)*(-4 + 3 + 4) + (-6*i**2 - 5*i**2 - 3*i**2)*(-10*i**2 - 24*i + 24*i) + 6*i**4 + i**4 - 3*i**4.\nAnswer: 150*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -571211a (base 11) to base 7\nAnswer: -151010056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 109*k + 439. What is the remainder when 198 is divided by g(58)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383072 to the power of 1\/2, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04726268 or 1?\nAnswer: -0.04726268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*r = -3*i + 94, 198 = 2*i - r. Suppose 3 - 5 = -l. Suppose -42 = -l*f - f. Calculate the highest common factor of f and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12320016 divided by 16383.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**4 + 13719*x**3 - 259683*x**2 + 478221*x - 232254 = 0.\nAnswer: 1, 17, 4554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12 and 123\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 6:51 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -3 (b) -3\/4 (c) 0.4 (d) 13631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -5 in descending order.\nAnswer: 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 554.\nAnswer: 1\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * -0.15\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away -0.00535?\nAnswer: 0.11535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4000, -7999, -11998, -15997, -19996?\nAnswer: -23995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.153 - 2.753. Let y = -6608.40045 + 6611. Let r = y + x. What is r rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 3 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 - 4*q. Let x be v(3). Let z be (x\/(-7))\/(24\/42). What is the closest to -0.1 in z, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1452*o + 3\/2*o**2 + 351384.\nAnswer: 3*(o - 484)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. What is the smallest common multiple of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 63 = -3. Suppose 120 = -3*f - 3*f. Let k = f - o. What is the remainder when 25 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) -53 (c) -2 (d) 2\/125 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 15 = -5*m, 412*y - 4 = -m + 410*y for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 555209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3897)\/(-18) - (-1)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k + k**2 - 12*k - 2*k**2 + 12*k + (12*k + 6*k**2 - 12*k)*(4 - 4 + 2) + 4*k**2 - k**2 - k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 30 = 2*k + 4*v, -k - 6 = -4*v. Let x be (-10 - -9) + -4 - (3 + -22). Solve x*u + 32 = k*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d + 15*d = -2*u + 318, -76 = 4*d - 4*u for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224133101 + -12?\nAnswer: 224133034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -46b (base 13) in base 8?\nAnswer: -1375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 8*f + 50. Let z be t(26). Let r = z + 2954. Is 32 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50753, 50764, 50783, 50810, 50845, 50888, 50939?\n\"Answer: 4*g**2 - g + 50750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 363, 944, 1521, 2088, 2639, 3168, 3669?\n\"Answer: -r**3 + 4*r**2 + 576*r - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -28. Suppose -4*u - h = -7, 7*u + 16 = 4*u - 5*h. Solve 20 = 5*i, -14 = u*z - 3*i - v*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1220, 4722, 10504, 18572, 28932, 41590?\nAnswer: 56552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-147)\/(-168)*(-2)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:20 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*z = 798, -5*m - 422 + 1451 = -z. What is the least common multiple of m and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 5*r**2 - 3*r + 2. Let g be q(-4). Let f(x) = 6*x - 10. Let c(h) = h - 2. Give g*f(i) + 11*c(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:59 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*-6)\/(sqrt(64)*1 - sqrt(64) - sqrt(64))*1.\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-3) + -1 - (-3)\/1. Suppose x - 2 = s*g, 2*g + 11 = -g - 4*x. Put 4, 0, g in descending order.\nAnswer: 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 308674.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 - 4*i**3\/3 - 5*i**2\/2 + 3835. Determine c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182 + -151. Suppose -144 = -39*q + k*q. Solve -38 = 4*p - q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.3 rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f53be + 4?\nAnswer: -f53ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i + 52. Solve 4*o = 4*c + 20, -2*c - 3*c = o + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**3 + 2*w - 1. Let r be g(1). Suppose 8447 - 2583 = r*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(1053))*-4 + -2.\nAnswer: 6 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 - 7724773*o**2 + 15449709*o**2 - 7724936*o**2 - 8*o.\nAnswer: 9*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8508544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 12 = 24*g. Let q(x) = 93*x**2 + 15*x + 94*x**g - x**3 - 188*x**2 + 6. Is q(-6) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/((q*(q**4*q)\/q)\/q)*(q**(-1\/7)\/q)\/(((q**(-1)*q)\/q)\/q)*(q**3*q**(-7))**(-3\/7) assuming q is positive.\nAnswer: q**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7, 107, 28, -51.\nAnswer: -51, 6, 7, 28, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 3. Determine p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189\/1632401 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*g + 9*g**3 - 25*g)*(3 + 2 - 3 + 2*g).\nAnswer: 18*g**4 + 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*l - 4 + 25 = 0, s = -3*l + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 468217.07092.\nAnswer: 468217.27092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -54. Let h = -51 + 72. What is the remainder when (v - -163)\/(4 + -2) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -140499.8?\nAnswer: 28099.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22333 (base 13) to base 3.\nAnswer: -10011010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x**3 + 2*x**2 - x. Suppose -c - 8 = -2*l, 12 = 4*l - c - 0*c. Calculate the smallest common multiple of b(1) and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1485, 1507, 1537, 1569, 1597?\n\"Answer: -v**3 + 10*v**2 - v + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -25. Suppose 0 = 5*n + 3*t - 965, -377 = n - 3*n - 3*t. Suppose 3*b = -g*a + 132, b - n = -4*b + a. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**6\/3 - 8*c**5\/5 - c**4 + 6. What is o in j(o) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8702\/(-15) + 6\/45. Let p = w + 578. Put 5, 17, p in descending order.\nAnswer: 17, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = n - 27, -2*i = 4*n - 15 - 3. Suppose t + p = -2, 4*t + 4*p = i*t - 18. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -13*z - 124. Let u be 6\/(-2) - (z + 14). Calculate the highest common divisor of u and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 6*u**2 + 18)*(-3 + 3 - 13*u).\nAnswer: 78*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 1992*p**2 + 6004*p - 4008.\nAnswer: -4*(p - 2)*(p - 1)*(p + 501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -2989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a - 2 + 9 + 21 + 3*a. Let y be v(4). What is the highest common factor of 51 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27160, -27166, -27172, -27178, -27184?\nAnswer: -27190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + -4 + (29 - 26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6.5, -0.19, -1, -1.45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 + 49 - 25*a + a**3 - 3*a**3 + 49 to the form h*a**2 + x + w*a + d*a**3 and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o + 33*o - 408 = 0. Let a(t) = t**3 - 4*t**2 + 3*t + 4. Let n be a(4). What is the greatest common divisor of n and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15951 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 2*z**2 + 4*z**2 - 897 + 517 + 3*z to c*z + o + s*z**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1 - 16\/216*21.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-126)\/(-1008))\/(7*1) + (-19)\/(-152). Factor 1\/7*o - s*o**3 - 10\/7 + 10\/7*o**2.\nAnswer: -(o - 10)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t = 3*t + 2091 - 705 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2498, 8310, 17998, 31562, 49002, 70318?\n\"Answer: 1938*t**2 - 2*t + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/63*9)\/((-6)\/(-28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160\/9 - 11671\/657. Let l = z + -157\/803. Let k = -3 + 2.5. What is the second biggest value in 0.1, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f - 2*f)*(3*f - 2*f + f) - 23*f**2 + 2*f**2 - 21*f**2.\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = 5. Let y = 13 - 13. Let h be (0 - d)*(y + 2). Solve 5*b = h*f + 29, 5*f + 0*f = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44539.39 millimeters?\nAnswer: 44.53939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 80*u**3 - 4*u**2 + 5*u + 1. Let c be m(3). What is c rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 496, 470, 426, 364?\n\"Answer: -9*g**2 + g + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 38*p**2 - p + 29. Suppose 0 = 4*j + 5*a + 529, 3*j - a + 261 = j. Let d = j + 139. Is t(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 23\/4 (b) 2.5 (c) 4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58955 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4 = 0, 10*o = 13*o + 5*v - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-55) + 20\/(-50)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let f(h) = -6*h - 3*h + 12*h - 6*h. What is y(f(i))?\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q - 18. Let k be c(9). Suppose 0 = -3*h - l + 162, -4*l - l - k = -h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5223*h + 1786246. What is y(342)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 112*f**2 + 218*f - 108.\nAnswer: 2*(f - 54)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**3 + 0*b**6 + 12*b + 1\/2*b**4 + 0*b**2 + 0*b**5 + 0 - 2\/21*b**7. What is the third derivative of n(y) wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puuwuwpuuuwupuphwpuu. What is prob of sequence wp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54781 or 328681\/6?\nAnswer: 54781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*b - 231*b = -4144. Calculate the remainder when 22 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230293489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x + 1. Let q = -1314 + 1308. Let f(y) = -5*y**2 + 6*y - 5. Let z be 1 + -2 + 0\/2. What is q*t(p) + z*f(p)?\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6074 - -7364620\nAnswer: 7370694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3615 by 26.\nAnswer: 3615\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*n**3*t - 5*n**3 - 2*n**2*p + p - 1063*t with respect to n.\nAnswer: 75*n**2*t - 15*n**2 - 4*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 11*t - 13*t + 9480, 20 = 5*p. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n + 4. Let l be v(0). Let x = 0.5 + 3.5. Let u = x + -3.7. Which is the second biggest value? (a) 1\/5 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 32*x + 107400. Let t be s(0). Round t to the nearest 1000.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(-1 - 3*c + 1)*(0 + 1 - 10)*(5 + 0 - 3) as s + d*c and give d.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006279 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -2*w**3\/3 - 5*w**2 - 9*w. Let a be s(-6). What is the highest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*1*-2. Suppose -19*h + 11 - 68 = 0. Let u be 9 + h*(-1)\/(-3). Calculate the highest common divisor of u and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -151464\/67 <= -2261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94485 is divided by 31300?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/18))\/(s*s**24) assuming s is positive.\nAnswer: s**(-433\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43820 and 4?\nAnswer: 43820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.6. Let h = 9.61 + -16.61. Sort s, -1\/2, h, -4.\nAnswer: h, -4, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/99*72\/224.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2 - 57*h + 15. Let w(q) = -q**2 - 8*q + 2. Let d(u) = 2*r(u) - 15*w(u). What is the second derivative of d(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 14*l = -15*l - 8, -3*l - 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + t)*(-2*t - t - t)*(-5 + 5 + 2).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*s**2 + 13*s**2 + 21*s + 10*s**2 + 19*s**3 wrt s?\nAnswer: 114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 7 - 0) + (-4 - -5) + -14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -225 at least as big as -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5504367, -5504421, -5504475, -5504529?\n\"Answer: -54*a - 5504313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 2*x + 224. Is 32 a factor of v(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -14 + -25 + 9\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 4*l + l)*(-l**2 - 4 + 4) + 0*l**3 - 5*l**3 + l**3 to u*l + t*l**2 + s + j*l**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 13*h**2 + 6. Let f(a) = a**3 - 9*a**2 + 4. What is -7*f(l) + 5*i(l)?\nAnswer: -2*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1466)\/30 - (-22)\/(-165). Is 2\/(-7) + (-357)\/d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32630 and 520.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7389*a**2 - 9*a + 3*a - 13908*a**2 + 7*a in the form s + y*a**2 + r*a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:39 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 4*j - 16\/7*j**3 - 24\/7*j**4 - 27\/14*j**5 - 3 + 0*j**2 - 3\/98*j**7 - 29\/70*j**6. Determine u so that w(u) = 0.\nAnswer: -4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 47*w + 20. Let k be 6*4*(-2)\/(-8). List the prime factors of z(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, u: 9}. Give prob of sequence duuu.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - -8) + -12 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyclfnndynfdndynyfn. Give prob of picking 1 d, 1 y, 1 n, and 1 l.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53937066763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*j + 1 + 0 - 1 to the form u + w*j and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -5. Suppose -5*l = -z*n + 8, -6 = -0*n - 3*n + 2*l. Find the second derivative of 2*g + g**5 - 6*g + n*g wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - b - 3*b + 10, -5 = -4*q + b. Let h(m) = 6*m**3 + 2*m**2 - 4*m. Let w be h(3). Let c = 174 - w. Solve -q = -2*d + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -808, -3138, -7020, -12454, -19440?\nAnswer: -27978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13\/3*187600\/(-60970)\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9161987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656.621238 rounded to the nearest ten?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1. Let y(k) = -k - 5. Let t(m) = 4*p(m) - 9*y(m). Give t(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**42*g**(14\/9)\/(g\/g**(2\/9)) assuming g is positive.\nAnswer: g**(1141\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33932850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 6*b**2 + 6*b**2 + 5*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*(f**0\/f)\/f*f)\/f)\/f**5)\/(f*f**(1\/4)*f*f)**(-4\/3))\/((f*f**(2\/9)*f)**35*f**(-2\/13)\/f*(f*f**(3\/11))\/f) assuming f is positive.\nAnswer: f**(-101111\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602487204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -37*o**3 - 6*o**2 - 4*o. Let f be -23 - -5*95\/25. Let s(g) = 36*g**3 + 5*g**2 + 3*g. Calculate f*s(d) - 3*t(d).\nAnswer: -33*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -108, -10\/57, 0.3, -2.\nAnswer: -108, -2, -10\/57, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(14)\/sqrt(7)) + sqrt(64)\/sqrt(2)*-1.\nAnswer: -sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 12. Let o be p(-7). Suppose o*s = 138 + 64. List the prime factors of s.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*i**2 + 2*i + 1075*i**4 - 1074*i**4 - 1 - i**3 - 25*i**2 + 20*i**2 as k*i**4 + u*i + l + v*i**2 + m*i**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 27*t + 17. Let o be q(-14). Suppose o*g + 4*b - 2069 = 0, 4*b = 4*g - b - 2769. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.7 (b) -1\/1004 (c) -5095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*1*(-1*sqrt(648)*-2 + sqrt(648))*5*-2.\nAnswer: -5400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/5 + 5084858*k + 32319726100205 = 0. What is k?\nAnswer: -12712145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13685 and 65487808?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 h, and 2 j when four letters picked without replacement from {x: 2, q: 3, y: 1, h: 2, j: 3, g: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 7. Suppose -2*i + 3 - 13 = 0. Let a be d(i). Let u = -6 - a. Is u at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, 8.\nAnswer: 0, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000134360033 to 7 dps.\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(245) + (sqrt(245) + 0 + 0 - sqrt(245)) - (-1 + sqrt(245) + 4)))**2 - (4 + (1 + sqrt(245))**2 - sqrt(245)*-1*1)*-4.\nAnswer: 84*sqrt(5) + 1081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 1. Let z be r(1). Does z = 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234 + -50. Let v = t - 173. Which is smaller: v or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -1\/4, 0.555, -1\/23?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 30.9, 0.4, 3, -4 in ascending order.\nAnswer: -12, -4, 0.4, 3, 30.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*k - 35, 3*k - b = k + 25. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = k - 171. Calculate the greatest common divisor of k and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 8*h - 1\/3*h**3 + 0 + 3\/2*h**2 - 1\/3*h**4 + 1\/30*h**6 + 1\/10*h**5. Suppose d(z) = 0. What is z?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2716 + 2719. Let r(v) be the first derivative of 5*v**2 + 1\/3*v**h + 25*v - 6. Factor r(z).\nAnswer: (z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108813 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 15 = 3*d, -2*d = 2*y - 5*y + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 36*j + 9*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210134863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 477319750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 + 102 = -25*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.1, 4, -79\/19, 2\/11, -3, 17?\nAnswer: -79\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-30))\/(31\/(-310)). What is the biggest value in 7, -3\/10, x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18887\/235 > 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven fifths of a tonne?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 717885*b + 40217240.\nAnswer: -5*(b - 143633)*(b + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.398 + -0.728. Let l = 0.43 + q. Which is smaller: 2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Suppose 3*j + 3 = -0*j. Let o be 4\/(-2) - (-5 - j). Let w(k) = 8*k + 3. Let t(v) = o*y(v) - w(v). Give t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-2) - -6) + (-1 - 1). What is the derivative of 2038 + 138*w**c - 4015 + 2004 wrt w?\nAnswer: 276*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -157113*u. Let o(g) = -90*g. Determine o(s(v)).\nAnswer: 14140170*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 12. Suppose -5 = 14*r - 61. Suppose -3*g - 3*m + 7*m + 72 = 0, r*g - 71 = -3*m. Calculate the lowest common multiple of n and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Suppose -10 = 5*j + 3*y, -5*y = -j - 6*y - 4. Let m be (-35)\/21*(3 - j)\/(-10). Which is the second biggest value? (a) 4 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-6)*(-7224)\/147. Let y = z - -48. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3929020 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 at least 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260749 divided by -386.\nAnswer: 260749\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 6, -149, 19 in ascending order.\nAnswer: -149, -2, 3, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 38769*a + 12753972.\nAnswer: -3*(a - 13244)*(a + 321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 4\/(-15048)*-5905192154. Let w = -1569699 - t. Let l = w - -1\/209. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**(15\/7))\/y*y**(16\/5)*y**(-1\/5)*y**(-2\/49) assuming y is positive.\nAnswer: y**(138\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 4*a + 18. Suppose 3*w - 8*w + 15 = 0. Let q be y(w). Let n be (0 + -3)*(-1)\/9. What is the closest to n in 0.4, q, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5194 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 2. Let k be m\/2*(3 - 5). Solve -k = -3*z - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7470 and 670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from {y: 4, c: 1, w: 4, p: 2, k: 2, h: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5570000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 + 31 = 0. Let b(r) = r**3 + 11*r**2 + 5*r - 20. Let m be b(o). Let d(h) = 2*h + 62 - m - 32. Let v(t) = -20*t**2. Calculate d(v(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130 = -5*l + 5*n + 655, 5*l - n - 1773 = 0. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544 - -1413798782.\nAnswer: 1413799326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 7 - 1 - 7 - h - 2*h**2. What is v(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(-2*m + 3*m - 3*m) + (-12 - 22 + 2)*(5*m - 3*m + 0*m) to the form x + t*m and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -11*d + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(3 + sqrt(2)) - sqrt(32)*-3) + 0)**2.\nAnswer: 648*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 8*a**2 - 7*a - 10. Let c be y(9). Suppose 0 = c*l - 3*l. Suppose l = -2*f - d - 5, 4*f + 31 - 6 = -5*d. Let g(u) = u**3 + u**2 - 9. Give g(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1368638 in increasing order.\nAnswer: -5, -1, 1368638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20367, -20368, -20369, -20370, -20371?\nAnswer: -20372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1473 = -5*c - 3*o, 4*c = c + o + 895. Suppose 5*p - 2*g + 36 - 503 = 0, 3*g = -3*p + c. Let l = p - 57. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + b = 2*b + 13, -d = -5*b - 23. Let x = 0 + d. Let u be -2*(-6)\/(-8) + (-207)\/(-92). Sort x, u, 0.5 in increasing order.\nAnswer: 0.5, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 - 7*p**4\/24 - p**3\/3 + 12*p**2. Determine l(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*r - 897 = -169 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238665.9 millennia to months.\nAnswer: 2863990800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4756*h + 10629*h - 5068*h in the form j + w*h and give w.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 46 + 9 - 4*d**2.\nAnswer: d**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) -3 (c) -5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001441 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 24*f + 55. Determine i(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2909*i**3 + 27*i**2 + 8*i - 8. Let j(f) = -970*f**3 + 10*f**2 + 3*f - 3. What is -8*j(g) + 3*q(g)?\nAnswer: -967*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6004\/760 - (1\/2)\/(5\/80). Which is the closest to 2\/7? (a) -3 (b) r (c) 5.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17595199.3 * 0.1.\nAnswer: -1759519.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -39.961. Let n = r - 0.133. What is n rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 246 - 26 = m, 0 = -5*m + d + 1082. Let r = -56 - -80. What is the greatest common divisor of m and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -319*k + 51. Is c(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 128*v**2 - 94*v - 11252. What is u(-128)?\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 2. Let r be w(-3). Let m be (r - -9) + (12 - 13). Suppose -m*l + 79 = -2*l - z, -5*l - 2*z + 82 = 0. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*w + 4*s, -4*w + 14 = 4*s - 78. Solve t - 3*t = -5*o - w, -3*o - t = 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-55*(-2825)\/(-11187))\/(((-70)\/12)\/7). Find a, given that -125\/3*a + 40*a**3 + 5\/3*a**5 + 0 - b*a**2 + 50\/3*a**4 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-24)\/112*2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73\/44 + 10\/11. What is the nearest to 0.07 in a, -3\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xru when three letters picked without replacement from czrux.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*i - 9, 3 = -4*x + i - 0*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 209, 204, 197?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19476 and 20900994?\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -138*a + 1238. Give k(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.46546164 to four dps.\nAnswer: 2.4655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (515\/10 + -8)*(-1 - 1). Let g = k - -357. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 7*j**2 - 5*j + 1. Let s be u(4). Let g = s - 18. Calculate the remainder when 43 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-110)\/(-2420))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 137 = 141, 3*a + 3*g - 12 = 0. Solve 2*b + 5*h + 2 = -8, -4*b - 2*h - 20 = a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*a - 26, -3*k + 2*k - a = 4. Let b = 29 - k. Suppose c = -4*o + 91 - b, -c = 5*o - 68. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 2\/3, -0.8 in descending order.\nAnswer: 2\/3, 0.02, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from iiyyghhycicoicciih.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/155 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7345 rounded to one dp?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12*t**2 + 16*t + 16. Suppose -4*z - 2 - 62 = 0. Let a(h) = h**2 + h + 1. Let s(k) = z*a(k) + j(k). Let v(m) = 123 - m - 123 + 4*m. What is v(s(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-254699991)\/(-15) - (126\/(-35) - -3). What is w rounded to the nearest one hundred thousand?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 + 6*m - 9. Let t(x) = x**3 - 5*x**2 + 4*x - 1. Let r be t(3). Let u be n(r). Put 0, u, 3 in increasing order.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114 - -118. Solve -5*u = -j*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*r = -198, 2*c + r + 32 = 171. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-2))\/(2\/(-404)). Suppose 2*p - 37 = 3*t - a, -t - 2*p + 109 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 20.97. Let s = 0.02794 - -0.0025. Let u = h + s. What is u rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*h - 38760, -2*h + 48450 = -6*f + 11*f. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b - 494e9c?\nAnswer: -494e81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4618, -37020, -124954, -296182, -578466?\n\"Answer: -4627*r**3 - 4*r**2 - r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/(-450) + 3867\/27 + 224\/(-336).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d18 (base 15) to base 8.\nAnswer: -5604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:21 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-2*-2.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 84*k - 2248. What is q(25)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*u + 36, -5*u + u = 4*l - 12. Suppose -u = -4*n + 2*n. What is the greatest common factor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 25*j - 26. Let s(p) = 2*p - 2. Let r be (-27)\/6 + -3*3\/6. Let z(m) = r*x(m) + 78*s(m). Let k(i) = 5*i**2. Give k(z(n)).\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -222, 158, 540, 924, 1310, 1698, 2088?\n\"Answer: q**2 + 377*q - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12084*m**3 - 3*m**2 + 2*m + 156838.\nAnswer: 36252*m**2 - 6*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85750 rounded to the nearest 1000?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y + 45. List the prime factors of 27\/y - (-3*31 - 1).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -455*v**3*y**3 + 3*y**3 - 3*y**2 wrt v.\nAnswer: -1365*v**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from {t: 2, y: 1, c: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*s - 5, 2*v - s = -2*s - 15. Let m = v + 7. Suppose -2*j - 3*j = -m*w - 10, 2*w = -3*j + 6. Solve -3*c = -0*c, w = -2*a - 2*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 29750584*j**2 - 29750581*j + 7437645.\nAnswer: -(j - 7437645)*(2*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.05 (c) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:13 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -657959 divided by 1?\nAnswer: -657959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**2*x**2 - 8430*v**2*x + 2*v**2 - 4*v*x**2 - 15*x**2 wrt x.\nAnswer: 6*v**2 - 8*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -2 (b) 0.1 (c) -21 (d) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -218\/1127 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83189120 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4 - 1627*r**6 + 808*r**2 - 1544*r**2 + 841*r**2 - 14*r wrt r.\nAnswer: -195240*r**3 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8069*x**3 - 1267*x**3 + 6818*x**3.\nAnswer: 13620*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhhh when four letters picked without replacement from {y: 3, h: 3, j: 1, d: 6}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) -2\/3 (c) 414 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*i + 2 + 7 + 6 - 13 in the form g*i + p and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 g, and 1 n when four letters picked without replacement from xxxxuunnuuxxggxgu?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**5 - 3*u**5 + 355*u**4 - 382*u**4 + (-u**2 - 2*u**2 + 4*u**2)*(u**3 + 0*u**3 + u**3).\nAnswer: 5*u**5 - 27*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 31. Let d be 6\/o*40\/8. Solve -d*i - 12 = -6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4217 = -4*d + k, -13 - 4189 = -4*d - 2*k. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137660786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 39 = -6*u. Suppose 6*h - 1652 = -3*o + 10*h, -o + 3*h + 554 = u. Is o a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t - 80. Let o(i) = -5*i - 41. Calculate 9*o(x) - 4*y(x).\nAnswer: -9*x - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.3, 0, -0.119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180830 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -105. Let q(z) = 6 + 0*z**3 - 7*z - 2*z**3 + z**3 - 8*z**2. What is q(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*3\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 2894811201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 2321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/3 + 646*x\/3 = 0.\nAnswer: 0, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-533.\nAnswer: -266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 93. Let s = d - -4.4. Sort s, 0.3, -0.07 in decreasing order.\nAnswer: 0.3, -0.07, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 2772*l**2 + 853776*l - 87654336.\nAnswer: 3*(l - 308)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32264 divided by 1\nAnswer: -32264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12162269 divided by -4127\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 19*z**2 + 213 - 215 - 4*z**2. Let g(d) = 374*d**2 - 51. Give -2*g(w) + 51*h(w).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Find the third derivative of -3*c**2 + k*c**2 + c**4 - 2*c**2 - 4*c**4 wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107335008 divided by 44?\nAnswer: -2439432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.4429 rounded to one dp?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -325b3a7?\nAnswer: 325b3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/17 (c) -4 (d) -207 (e) -0.1 (f) -1 (g) -225\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 - -45. Find the common denominator of 5 + (-286)\/s*-2 and 89\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 56437242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-21) - (-9)\/(-21). Which is the third smallest value? (a) -8 (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 + 467. Let a be p(0). Suppose 5*j - a = 588. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-671 + 8535*v + 205 + 235 + 231)*(v + 0*v - 3*v) to the form d + x*v**2 + n*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.614 - -1.514. Let y(b) be the first derivative of b**4\/4 - 2*b**3 - 3*b**2 - 7*b + 1. Let p be y(7). What is the nearest to u in p, 4, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65383, -65414, -65471, -65560, -65687, -65858?\nAnswer: -66079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfrrfrr. What is prob of sequence rffr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.31 + 0.42. Let i = 0.1 + -0.11. Let c = g + i. Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/6 - 20*g**3\/3 + 35*g**2\/2 + 2*g - 36. Find the first derivative of u(s) wrt s.\nAnswer: 4*s - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23352\/8340 - (-36)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -309*x - 17793. Give j(-57).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z - 19*z - 21*z + 61*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*z. Suppose 3*c - 3*n - 24 = z, n + n = -5*c + 19. Suppose 3*t - 411 = -4*g - 427, 0 = 4*t + 2*g + 8. Sort 4, c, t, 15 in ascending order.\nAnswer: t, 4, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646097 and 18079?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 8. Let m be v(4). Let h be -6 + 3 - (-6 - 0). Suppose m + 11 = h*s. Solve -s = -0*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071 is divided by 77.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - r)*((-r + 0*r + 0*r)*(-1 + 7 - 4) + 1 - 1 + r - 4*r - 4*r + 6*r) to t + u*r + q*r**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4957a2 (base 13) to base 4\nAnswer: -12230112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -39. Solve -5*c = -3*k - 20, -5*k - 5 - 7 = -m*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -302 and -293280.\nAnswer: 88570560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(11\/(715\/78)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in hours?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - p + 7*p**2 - 11*p**3 - p.\nAnswer: -11*p**3 + 10*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664625 is divided by 132923?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -60\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 11*m - 18. Let z be w(8). Find the third derivative of -r**4 - 5*r**2 + 0*r**4 - 17*r**z + r**4 wrt r.\nAnswer: -2040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 3*v - 1. Let n be o(-3). Let i = 14 - n. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 - 8965576*b - 2988526.\nAnswer: 2*(b - 1494263)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -179, -268, -355, -440?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 8*b - 42. Let t(a) = -5*a**2 - 15*a - 84. Let f(y) = 7*n(y) - 3*t(y). Suppose f(s) = 0. Calculate s.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2953502*v + 1594*v**3 + 2953502*v.\nAnswer: 1594*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(36)\/sqrt(2))*2 + (sqrt(18) - -1*sqrt(18)*-4))\/(sqrt(1089)*-4*6).\nAnswer: -sqrt(2)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -11891751\nAnswer: -1\/11891751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*b - 171662, z - 42935 = -41*b + 39*b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4\/9 + 470*y**3\/9 - 956*y**2\/3 + 5768*y\/9 - 3856\/9 = 0.\nAnswer: -241, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.79958 years in months?\nAnswer: 765.59496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {q: 2, x: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63747\/4 + 15937. Let n = 15 - 49\/3. Which is the third smallest value? (a) 0.4 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10316718.\nAnswer: 2, 3, 127, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50469144 divided by -8.\nAnswer: -6308643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 804 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -72884031.\nAnswer: -72884031.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/45 + (-10 - -10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 3, 1, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 23*a**2 - 88*a - 37. What are the prime factors of p(27)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 445.5263 years?\nAnswer: 5346.3156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/9*-4)\/(2\/(-6)). Let g be ((6\/5)\/1)\/((-6)\/d). Let 2*n + 15*n**3 - 4*n**4 + 2*n**5 - g*n**2 - 4*n**4 - 3*n**3 - 4*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 457 - 996 + 486 - 2*h in the form p*h + k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 181 = 3*i, -4*i + 1 = 3*s - 222. Let a = i + -20. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 98897777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 - (-6)\/(-16) and ((-155)\/(-100) - 2)\/(((-16269)\/1088)\/(-29))?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(2\/10*5400\/400)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -7\/2*r**2 - 1\/3*r**3 + 4 - 6*r. Calculate the least common multiple of s(-5) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7147599 years to decades.\nAnswer: 0.07147599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67132257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - g)*(3 + 0 - 8).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 40*p**3\/3 + 4*p**2 + 3*p + 43. Is f(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914442817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 743781 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*b + 4*o, 4 - 5 = -5*b + o. Let t = 4 - b. What are the prime factors of ((-288)\/20)\/(t\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8159 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/120 + y**3\/30 + 16*y - 13. Let n(u) be the first derivative of c(u). Factor n(k).\nAnswer: k*(k + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -796, -829, -912, -1069, -1324, -1701, -2224, -2917?\n\"Answer: -4*l**3 - l**2 - 2*l - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2569, 5085, 7565, 10009, 12417?\n\"Answer: -18*k**2 + 2570*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 4, m: 3, v: 2}. Give prob of picking 1 q and 2 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131718506 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*w - 109 - 410 = 2816 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a1 (base 14) to base 8.\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 89, -3, -5, -10 in decreasing order.\nAnswer: 89, 4, 3, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16511, -131825, -444825, -1054355, -2059259, -3558381, -5650565, -8434655?\n\"Answer: -16474*j**3 + j**2 + j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-89)\/178)\/((-26)\/(-4)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/30)\/(12\/(-20)). Let s = 67\/18 + c. Let a = 0.09 + -4.09. What is the smallest value in -2, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 130158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3)\/(-3))*5\/(-200)*10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let n be 3 + 2*(-1)\/h. Solve -3 - 5 = -n*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/8 + 13*d**4\/2 + 145*d**3\/4 + 80*d**2 + 507*d\/8 + 27\/2 = 0. What is d?\nAnswer: -9, -4, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 7*c**2 + 7*c + 3. Let h = -69 + 61. Let u be d(h). Let q = 19 - u. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316184004 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008652 - -14796.5?\nAnswer: 14796.508652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*b - 5*r = -702*b + 35, -2*r - 33 = 2*b - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14321, 2, -43?\nAnswer: -14321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.13 - 2. Let c = -0.130017 + w. What is c rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - -12. Let j = 31 - w. What is the least common multiple of 20 and 4\/(-26) - 252\/j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.06158 micrograms to milligrams.\nAnswer: 0.07406158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a. Let r(y) = -5*y**2 + 2*y - 1. Calculate -6*j(l) + r(l).\nAnswer: l**2 + 8*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 201002001?\nAnswer: -201001333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 34 + 86 = 0. Let w = v - 43. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6779 = 5921. Suppose 0 = y + 9*y - g. List the prime factors of y.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 34*d**2 + 22*d**2 + 12*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 0)\/(12\/(-30)). Let y = r - -35. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 24. What is the remainder when (294\/(-4))\/3*-2 is divided by 4\/a + (-453)\/(-27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1689 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k**2 + k - 1. Let n(o) = -10*o**3 + 11*o**2 - 8*o + 10. Determine 18*c(h) + 2*n(h).\nAnswer: -2*h**3 + 4*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54 and -3800.5873498?\nAnswer: 3854.5873498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 + 1 + -19). Suppose -15*a = -0 + 90. Let t = r + a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3\/8 - 7*j**2\/8 + 2479*j\/4 + 248 = 0. Calculate j.\nAnswer: -32, -2\/5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12964*d**3\/19 - 2046*d**2 + 54*d\/19 = 0 for d.\nAnswer: -3, 0, 9\/6482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 5197576186.056.\nAnswer: 5197576179.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 310 = 2*i. Calculate the smallest common multiple of 24 and i.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*s + 24 = -108*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21703 and 0.03917.\nAnswer: 850.10651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -1*sqrt(128) + sqrt(128)) + -5 + (sqrt(128)*2*-1)**2 + 1 + -3.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 616, 1236, 2104, 3220?\nAnswer: 4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 0.05, 3, -4\/3.\nAnswer: -4\/3, -2\/15, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 42*z**2 + 63*z + 63. Let h(w) = -w**2 - w - 1. Let y(f) = -63*h(f) - p(f). Let d(q) be the first derivative of -q**3\/3 - 190. Calculate d(y(k)).\nAnswer: -441*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*k + 168, -5*i = -k - 7*i + 56. Suppose -9*w - 2 = -k. Solve 6*r + 12 = -w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 122.\nAnswer: 122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/(((-12)\/(-10))\/3). Solve -20 = p*c + 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-21)*18\/(-84)*7?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/2*(-2*2)\/8. Let i = -55\/2 - -28. Factor -2*z**4 + i + 1\/2*z - 9\/2*z**2 + 11\/2*z**a.\nAnswer: -(z - 1)**3*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5571 by 23.\nAnswer: 5571\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -516 or -517?\nAnswer: -517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*c**4 + 0 + 0*c + 3\/4*c**5 + 0*c**2 + 27\/4*c**3.\nAnswer: 3*c**3*(c + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0633 + -132.0367. Let j = q - -132. What is the nearest to -2 in -1, -2\/21, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51765.\nAnswer: 3, 5, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/36 - (-87)\/27. Let d be -8 + -2 + (q - 1). What is the units digit of (-1)\/d*-2*-44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 335713 >= 335714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)*(p*p*(p**(-6)*p*p)\/p*p)\/p*p)\/(p**(2\/13))**(-26) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 + 4*g**2 + 3*g - 1. Let b(f) = -4*f**3 - 5*f**2 - 4*f + 2. Let o(t) = 4*b(t) + 5*s(t). Let p be o(0). Sort 0.4, p, -3.\nAnswer: -3, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740 (base 11) to base 16\nAnswer: -37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 103, -350, -1267, -2744, -4877, -7762?\nAnswer: -11495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**3*c - 1905215*a**3 - 1559*a**2*c - a**2 + 3*a*c + 2*a - 11*c + 1 wrt a?\nAnswer: -36*c - 11431290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-52)*-6*(-4)\/6\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 + 531040*n + 35250435200 = 0 for n.\nAnswer: -132760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*t - 47 + 11, 0 = 2*t + 3*p + 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38054, 38081, 38108, 38135?\n\"Answer: 27*s + 38027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.02 + 0.02. Sort p, -2\/9, 5\/2 in decreasing order.\nAnswer: 5\/2, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -196, -443, -752, -1093, -1436?\n\"Answer: 5*z**3 - 61*z**2 - 99*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5218329396 to the power of 1\/3, to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3 + 2 - 1 + 2*j**2. Let a(u) = 3*u**3 - 2*u**2 + 1. Let o be a(1). What is the units digit of p(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1034030 - 0?\nAnswer: 1034030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16949 or 16946?\nAnswer: 16946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1608 and 33?\nAnswer: 17688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.8. Let j = 0.22 + g. Let l = -0.0199934 + j. What is l rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-360)*-6 - (-11 + 12)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chh when three letters picked without replacement from lhlclhl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6999274 to 2 decimal places.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (4 + 8 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyllljclluycclc. What is prob of sequence lly?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3788425?\nAnswer: 5, 151537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, t: 4}. What is prob of sequence tttt?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 + 17*u + 77 to the form f*u + n and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -242315 (base 8) to base 2\nAnswer: -10100010011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189633 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.4. Let k = 8.4 - 8. Let n = -45\/3848 - 3443\/34632. Which is the closest to t? (a) k (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**17*g)\/g*g**(1\/30) assuming g is positive.\nAnswer: g**(541\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 252. Let i = c - 55. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (10 - -2) + 67 + (-39 - 30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308.3 - 323. Let i = -16.7 - m. Which is bigger: 0.007 or i?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*k + 2 = v + 72*k, 0 = 2*v - 4*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 + 63472*s**2\/7.\nAnswer: -s**2*(s - 63472)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-289) - 4\/34. Suppose -159 = h + 2*b, -2*h + 2*b = -z*b + 294. Is -151 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72711552 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8562723 is divided by 2665?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 489*j + 803?\nAnswer: 489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/48*(-12)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 40 = 2*u, u - 4*r = 19 + 7. Let x(k) = 7*k - 9. Let q(z) = 3*z - 4. Let t(n) = 5*q(n) - 2*x(n). Calculate the remainder when u is divided by t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 10 (b) 1 (c) 1\/3 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5616960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p + 217. Calculate t(-17).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 250?\nAnswer: 11\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 105*m + 5. Let c(w) = -26*w - 1. Let y(u) = -25*c(u) - 6*s(u). Differentiate y(j) with respect to j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -39*s + 9. Let z be 1\/(0 + 3\/(-21)). Let b be u(z). Find the common denominator of -31\/4 and b\/8*2\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 3. Let p be t(-1). Let i = 5.9 + -6.13. Let x = -0.07 + i. Which is the closest to p? (a) x (b) -1\/8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:15 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s + 16. Let z = 43 - s. Suppose -2*f - z = -3*i, 0 = 5*i + 3*f - 23 - 23. Calculate the lowest common multiple of i and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6499505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -41*a - 2. Is x(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648085826.\nAnswer: 2, 127, 397, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127031456*c**2*i**2 + c*i**2 - 88*c*i - 2*c + 12*i**2 wrt c.\nAnswer: -254062912*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from rydgo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*x + 94 - 23, 4*x + 4*y - 96 = 0. Suppose -4*r + x = r. Calculate the greatest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 + 1209*j**2 + 122409*j + 121203 = 0 for j.\nAnswer: -201, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 12, -1097, -0.4, 4 in decreasing order.\nAnswer: 28, 12, 4, -0.4, -1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.5 take away 0.3?\nAnswer: 432.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6084 - -6084.014871. What is z rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*g - 8. Let t(z) = -z**3 - z**2 + z - 2. Let h be t(g). Suppose -46 = -3*p - w + 109, -4*w + 8 = h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 2, -8, -18, -28?\n\"Answer: -10*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from bcca?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -320198 bigger than -320197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s - 600. Determine t(-75).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1430280573.912.\nAnswer: -1430280574.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -216259486\/25 less than or equal to -8650380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 5*s**4\/2 + 7*s**3\/3 + 7*s**2\/2 + 7*s - 19. Let h(v) = -3*v**3 - 2*v**2 - 2*v - 2. What is -2*g(u) - 7*h(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + ((sqrt(90) - (sqrt(90) - 2*sqrt(90))) + sqrt(90) - sqrt(90))*-3)\/(sqrt(96)\/sqrt(2)))\/((sqrt(168) - -1*sqrt(168))\/sqrt(7)*1).\nAnswer: -5*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15080.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133950661203 - 41256766796221\/308. Let j = b + -119657. Find the common denominator of 49\/8 and j.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -k. Let u = -4 + 6. Find the second derivative of -3*j**k - 4*j + j + u*j**4 wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -168c695?\nAnswer: -168c6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -3.6. Let s = 3 + 1. Suppose -2*g + p + 1 = -5*g, 4*g - s*p = -28. Which is the third biggest value? (a) 0.5 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 1, c: 1, x: 1, l: 1}. Give prob of picking 1 r, 1 e, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33104915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*b - 3. Calculate the lowest common multiple of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -200101101201?\nAnswer: 200101101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) 0 (c) -263044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17009 at most 16427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a. Suppose -25*p - 4*p + 87 = 0. Let q(j) = -5*j + 2*j - 6*j**2 - 7*j**2 + p*j. Calculate v(q(i)).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23323 * -39\nAnswer: 909597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 - 20*y + 9. What is c(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a factor of 44160421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Let r be (3\/(-6))\/((-2)\/(-176)). Let b = -15 - r. Solve -b = -4*d + y*m, 3*d + 3*m = -2*m - 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -p - 0*i + 8, 8 = -4*i. Suppose 3*v + 4*n = -1, p*v + 3*n + 7 = 6*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(-12)*v**(-1\/7)*v\/(v*v\/(v\/(v*(v*v\/(v*v**3\/v))\/v*v))) assuming v is positive.\nAnswer: v**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*l + 5*t + 4, 5*t = -3*l - 9. Let i(h) = -h**3 - 4*h**2 + 3*h - 6. Let y be i(-5). Solve 4*j + 20 = y*n - 0*n, -j - 6 = -l*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewcwewwwccwc. Give prob of picking 1 w and 2 c.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4156324*z + 8311405*z - 4155079*z - 4.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a13 (base 14) in base 3?\nAnswer: -2201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125269334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Let g(k) = 15*k**3 - 4*k. Is g(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 14*s**2 - 10*s + 31. Determine u(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3723881 is divided by 34164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnrr when four letters picked without replacement from rnrrn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -289.436 * 1\nAnswer: -289.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121706 divided by -515.\nAnswer: 121706\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - n + 5 = -0*n, 3*t - 1 = 5*n. Suppose -10 + 70 = t*h. Calculate the highest common divisor of 75 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 25408873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 - 5*v = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-20)*8\/(-12) + 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52349676 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81871984 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214611 = -3*x - 3*h, -1 + 9 = 4*h. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 3)*(-4 - 3 + 6) - 2 + 0 + 3)*(-3*k + 24 - 24).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from cxvctqttttxxtvttt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/10 (b) 4 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-215) + (-46170)\/(-258). Solve -8*a + q - 123 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3 + 25*t**2\/2 - 8*t + 3. Let p be x(8). Suppose 5*d - 4*i - 635 = i, p = i + 4. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/5 (b) -79542 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 37 + 5*g**2 - g**2 + 47 in the form o*g + q + u*g**2 and give q.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4281.227kg?\nAnswer: 4281227000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -123. Suppose -46*b + g*b - 52 = 0. Suppose 5*n + 10 = h, -2*h + 4*n = -57 + b. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185 (base 9) to base 15.\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 20*i**2 - 17*i. Let h(o) = 7*o**2 - 6*o. Let r(n) = -17*h(n) + 6*u(n). Let g(m) be the third derivative of m**5\/30 - 40*m**2. Give g(r(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 15)\/(3\/2). Let x(y) = -4*y - 18. What is the remainder when 49 is divided by x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 14, -0.16, 1\/9, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q - 11, -3*b = -5*q - 798. Calculate the highest common factor of 29 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2 + 3*k**2 + k - 2*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**2. Suppose 0 = -4*s - 10 + 38. Let w(p) = -7 + s - 2*p. Determine z(w(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {t: 2, e: 7, g: 1, a: 2}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/8 (b) -1 (c) 15\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1011001010100011110000?\nAnswer: -1011001010100011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 3*s**2 + 3*s - 4. Let y be h(-4). Let r = -4 - 53. Let a = r + 65. Calculate the highest common divisor of a and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -18. Let x be (3*3)\/((-20)\/t + 3). Let h = x - -43. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 11*p**5\/210 + 83*p**4\/168 - 10*p**3\/21 + 30*p**2 + 26. Solve i(h) = 0 for h.\nAnswer: -4, 5\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*y**2\/5 - 2747*y\/5 - 9150.\nAnswer: -(y + 375)*(7*y + 122)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 3*j**2 - 3*j + 5. Determine k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502 divided by -6?\nAnswer: 751\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 2*a + 863*a**4 + 9 + 876*a**4 - 1731*a**4 + a**3 to n + x*a**2 + q*a + p*a**4 + z*a**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223332?\nAnswer: 2, 11, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847526 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -41.746 times 1\nAnswer: -41.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 12 = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**4 - 4000 - 800*i - 56*i**3 + 9*i**4 + 8*i**4 - 22*i**4 + 480*i**2.\nAnswer: 2*(i - 10)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 169, 380, 675?\n\"Answer: 42*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5549, 11157, 16823, 22547, 28329?\n\"Answer: 29*j**2 + 5521*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*-1*(-2 - -27). Differentiate -4*l**2 + 25*l + 2 - a*l wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -382 + 369. Put -3, v, 3, 0.3 in increasing order.\nAnswer: v, -3, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16977 + -16608.29. Let c = k + -330.6. What is c rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 2*w + 23 - w. Let k(h) be the first derivative of h**2 + 11*h + 29. Let p(n) = -13*k(n) + 6*t(n). What is the derivative of p(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11412 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i + 2. Suppose 0 = -2*m + 6*m - 8. Suppose m*g - 2 = 4*g. Let d be g\/(-2) + 1\/(-2). Give v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-g - 1 + 1)*(-3*g**3 + 18*g - 8*g - 7*g).\nAnswer: -3*g**4 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 30*f - 205*f + 111*f - 213*f.\nAnswer: -282*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/(-14) + (-6)\/(-4)*-22. Let l be (-6)\/(d\/38) - (-2)\/3. Solve 0 = r + l - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -292.9 + 293. What is the fourth biggest value in 2\/11, i, 3, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5668080 and 755744?\nAnswer: 11336160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33243654.\nAnswer: 2, 3, 19, 331, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(((-72)\/9)\/(-4)). Suppose 6*i = -3*m + 3*i + 2979, -5*m = r*i - 4968. List the prime factors of m.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*v + 21*v + 202 - 587*v**5 - 624 wrt v.\nAnswer: -11740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*m - 3*c + 918, 5*c = m - 218. Calculate the remainder when m is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 15. Let a = -11.6 - -4.8. Let v = a + g. Sort v, 2\/17, -3\/8.\nAnswer: -3\/8, 2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 128. Suppose -7*h + 14 = -784. Let b = h + s. Calculate the remainder when 7 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 17}. What is prob of picking 4 x?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a - 61*a + 2*n = -24*a + 42, -4*n - 70 = -3*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.44782 * -176\nAnswer: 78.81632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p = z - 179, 3*z - 557 = -5*p. Solve -200*v + z*v = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 + -2 + 4 - 2. Suppose -301*i + 314*i = 46 + 19. Solve -l = -i*r, 0*l + r + a = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 10*a + 3. Let q be u(-7). Let m = q - -12. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 4*n - 452. Let r = -60 - n. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4976*x + 63 = 4983*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.2, 0.3, -4, -1642?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + 1.5. What is the nearest to 0 in -3, q, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:57 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y, 0*s + 8 = 2*s - y. What is the third derivative of 18*q**2 + 2*q**s - 1 + 10*q**5 + 1 wrt q?\nAnswer: 720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25235.\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:03 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4 - 2*s**3\/3 + 19*s**2\/2 + 5*s - 48. Is n(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*m**3 - 34*m - 2*m**2 + 214*m**3 - 426*m**3 - 2 to the form z*m + s*m**2 + d*m**3 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 - 3*g + 1. Let a(m) = 5*m**2 + 4*m - 1. Suppose -h = 0, -5*t + 3*h = -2*t + 15. Determine t*a(d) - 6*i(d).\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, i: 1}. Give prob of sequence igc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 22413.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3\/268 (c) 49\/171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.3 (c) -14 (d) -4 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hillllilhlllllhliill. What is prob of picking 3 i and 1 h?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37950 is divided by 763.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzlfjljlfplllp. What is prob of sequence jj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216531*q**2 + 433418*q**2 - 216771*q**2.\nAnswer: 116*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = 60*h + 173*h + 1673 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 3*c + 2*c)*(-6 + 2 + 10)*(4 - 1 - 2)*(-36 + 92 - 48) in the form s + k*c and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 15735*j - 390250.\nAnswer: -5*(j - 3122)*(j - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2091213 is divided by 98.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -0*i. Let u(d) be the third derivative of 1\/24*d**i - 2*d**2 + 0*d + 1\/120*d**6 + 1\/30*d**5 + 0 + 0*d**3. Solve u(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 406*x - 28648. Let o be l(-61). Suppose 2*p - 63 + 380 = w, 0 = 5*p - 2*w + 792. Is p at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*k - 247*k = -30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 22*w + 2*w - 4*w - 11 + 3*w.\nAnswer: -21*w - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/6 + (-12)\/8. Suppose -i*b = -3*p + 2*p - 2, -5*b - 2 = -3*p. Is (-1)\/b - 1438\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -593 - -593. Let a(g) be the third derivative of -1\/3*g**4 + u*g + 0 - 1\/6*g**3 - g**2. What is the derivative of a(d) wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/3 (c) 3\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2. Let t(h) = 9*h - 15. Let b(z) = -7*z + 16. Let i(s) = 6*b(s) + 5*t(s). What is y(i(c))?\nAnswer: 9*c**2 + 126*c + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 + -4 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 717394 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.68 in -1\/3, 5, 0.036, -1.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 23 + 63 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-3)*(-10)\/10*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-3.18\nAnswer: 1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 5, e: 1, k: 1, b: 1}. What is prob of sequence ie?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**5 + 0*l**5 - l**5 + (-2*l**3 + l**3 + 4*l**3)*(2*l**2 + 1 - 1))*(-16 - 2 - 4).\nAnswer: -110*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.2 from -126302.\nAnswer: -126315.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373712 divided by -1.\nAnswer: 373712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*k = -60, 2*t - 2*k = 15 + 9. Let x(o) = -20*o - 2. Let q be x(-5). What is the greatest common factor of q and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2877.57 - 2959.8. What is k rounded to 0 decimal places?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 7. Let b be o(4). Solve 0*s - 12 = -b*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027883616 to five decimal places.\nAnswer: -0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -0. Let j be 1\/(1 - 3\/p). List the prime factors of (176\/j)\/(3 + -1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2023 times -141\nAnswer: -285243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 6, q: 3, j: 3, z: 4}. What is prob of sequence xss?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -139*t**2 + 10*t - 12. Let n(s) = -2*s**2 + 2*s + 1. Let l(v) = d(v) - 6*n(v). What is the second derivative of l(r) wrt r?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*k**5*m**2 + 5*k**3*m**2 + 10*k**2*m**2 - 5*k**2 wrt k.\nAnswer: 1020*k**2*m**2 + 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -4.5. Which is the third smallest value? (a) -2 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let z = 0.128 + -0.29. Let y = -0.262 - z. Which is the nearest to 0.1? (a) y (b) i (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 22. Let v be x(8). Suppose v*u - 55 = -5*u. Solve -u*z - 3*a = -4 - 1, 2*z = a - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54)\/4*8\/6. Let h = -1 - b. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 278*k + 3824. What is h(269)?\nAnswer: 1403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 42\/11*w - 18\/11*w**2 - 2\/11*w**3.\nAnswer: -2*(w - 1)**2*(w + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 247042*o**2 + 988192*o - 988200.\nAnswer: -2*(o - 2)**2*(o + 123525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127355*x**5 - 98193*x**2 + 2*x wrt x?\nAnswer: 7641300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 15 = 20. Let v = 9 - d. Solve v*s = -3 - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-17\/6)\/((v**(2\/5)*v)\/(v*v**(-3)))*(v**(-4)*v**1)\/(v*v**(-3)*v*v**(5\/4)) assuming v is positive.\nAnswer: v**(-133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 3 = 3*h + 4*p, -4*p - 33 = 5*h. Let d be (4 - (-28)\/(-20))*5. Let k = d + -17. Sort h, k, -2.\nAnswer: h, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1326, -5500, -12462, -22218, -34774?\nAnswer: -50136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 666608*b**2 - 2666429*b\/2 + 666607.\nAnswer: -(b - 1333214)*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:25 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g + 93872*g**3 - 93844*g**3.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34390 - -34399. Let y(u) = -u**3 + 7*u**2 - 7*u + 7. Let x be y(6). Let z be 1 - ((-2)\/x + 2). Solve -2*s - d = z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -5*p - 10*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 + 13*w**2 - 28*w**2 - 5*w - w**2 + 5*w + (-1 - 1 + 1)*(-1 + 1 - 2*w**2) as f + n*w + g*w**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1274, 4, 2 in decreasing order.\nAnswer: 1274, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j - 39 = -291 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13948 divided by 4.\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7461127 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/2)*s**(-5\/2)*s*s**(1\/2)\/((s**(1\/6)\/s)\/s) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34744*l + 16092 with respect to l.\nAnswer: -34744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i - 8*i - 8*i. Let x(b) = b. Determine x(p(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = 4*s + 35*v - 2776, 0 = 2*s + 5*v - 1388. Calculate the highest common factor of 6 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111516548 and 108680.\nAnswer: 1115165480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.27504 days?\nAnswer: 369363.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 21. Suppose -10 = u - a. Let y(s) = 2*s + 14. Let c be y(u). Put 0, -5, c in ascending order.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111001001101 (base 2) to base 16\nAnswer: -1e4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 5 = 23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*i**3*w**4 - 14*i**3*w**3 + 34*i**3*w + 506*i**3 wrt w.\nAnswer: -2124*i**3*w**2 - 84*i**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - q = -8, -10 = -0*x + x - 5*q. Suppose 3*n + 42 - 159 = -2*c, 195 = 5*n + x*c. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1842 and 15.\nAnswer: 9210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*i - 32 = y + 158*i + 56, 2*i - 26 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 7:51 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, -2, 10, 14, 2 in decreasing order.\nAnswer: 16, 14, 10, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 28 = 6*i. What is the remainder when 38 is divided by (i\/(-6))\/(26\/(-507))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/6*(144\/52)\/(-6) and 47\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299495 = -132*a + 137*a. Let z = -37376987\/624 + a. Calculate the common denominator of 31\/4 and z.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 46 = 2*u, u - 6 - 13 = -2*v. What is the common denominator of v\/(-6) - 267\/198 and 11\/7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11*a - 9. Let p be m(-1). Let c(s) = -2*s - 3. Let f be c(-4). Let b(i) = 7 - f*i**p - 8*i + 0*i**2 + i**3 + 0*i. Calculate b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 83*r + 1. Let x(a) = a. What is -j(c) - x(c)?\nAnswer: -c**2 + 82*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 12) in base 6?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 1, a: 2, l: 2, m: 1}. Give prob of sequence mao.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*v = 2*v, 0 = -c - 5*v + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3 + 2*p - 2*p)*(p**2 + 4*p**2 - 3*p**2).\nAnswer: 4*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -196, -195, -184, -157, -108?\n\"Answer: s**3 - s**2 - 3*s - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0*f + f**2 + 0*f - 3*f**2. Let y(v) = -v**2. What is s(y(w))?\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -601 - -611. Suppose -5*r = -0*r - 4*y - 215, -3*r - 4*y = -129. Let v = -23 + r. What is the least common multiple of v and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1)*(-2)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 2*j, -h - 14 = -5*h - 3*j. Let c be 8\/30*(-3)\/h. Let w = -7 + 37\/5. What is the nearest to c in 2, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d**5 - 52*d**3 + 1182*d**2 wrt d?\nAnswer: -660*d**2 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2 + u + 2. Let d be m(4). Let x be (1 + d)*4\/7. Let c(s) be the third derivative of s**4\/12 - 2*s**3\/3 + s**2. Give c(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*l = -668, 0 = -5*m + 2*l - 3*l + 1652. List the prime factors of m.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 20*m + 351250 = 3*p, 5*m - 25 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1481 and 26?\nAnswer: -38506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/3)\/y)\/y)\/y**2)**24\/((y**2)**17*(y**(-2\/9)*y)\/(y\/(y**(1\/4)*y*y))) assuming y is positive.\nAnswer: y**(-3313\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14760012 = -2*n, 5*n - b - 36899985 = 4*b. Round n to the nearest 100000.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 13) to base 6.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 785*i + 11970 = 0.\nAnswer: -171, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.532763353 rounded to two decimal places?\nAnswer: 3.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 163837112 divided by -3\nAnswer: -163837112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4590, 9016, 13442, 17868?\n\"Answer: 4426*l + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.6, 0.5, -2 in descending order.\nAnswer: 0.5, -2, -8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12860 + 7167. Let x = -1726 - t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -2*h + 15*h. Let k(o) = 460*o - 460*o - h*o**2 + 4*o**2. Let z(v) = -v**2 + v - 1. Let f(m) = -m + 1. Let b(j) = -f(j) - z(j). Give b(k(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -186, -295, -402, -507, -610, -711?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (-5 - -15 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19258 or 19260?\nAnswer: 19260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80000250 and 200?\nAnswer: 320001000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520)\/(sqrt(30)\/sqrt(3)*2))\/(3*sqrt(400)*6).\nAnswer: sqrt(13)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/o)**(-26) assuming o is positive.\nAnswer: o**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17590, 21107, 24624?\n\"Answer: 3517*w + 14073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6757*h - 3027*h + 13215*h**3 - 1057*h + 839*h wrt h?\nAnswer: 79290*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.77, -0.5, -2, -2\/7 in descending order.\nAnswer: -2\/7, -0.5, -0.77, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2*m = -5*t + 5, -2*m = t + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508614831?\nAnswer: 11887, 126913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 1. Let t(q) = 2 - 11*q + 7*q**2 - q**3 + 2*q**3 + 3*q. Let c be t(-8). Suppose -5*j + c*k = -2, 6*j = 2*j - k - 1. Calculate p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6.25, -4, -0.3, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/5 - (-161)\/(-460). Is c at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -8, -30, -70, -134, -228, -358?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 2*c**2 + c - 3. Let k be v(-3). Let m(b) = 14*b + 0 - 11*b + 0. Give m(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:32 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 26*w + 30*w**2 + 3*w**2 + 51*w**2.\nAnswer: 84*w**2 + 26*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -286483624, -286483627, -286483632, -286483639, -286483648?\n\"Answer: -v**2 - 286483623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5133837.\nAnswer: 3, 1711279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyffyyfyereemeefeye. What is prob of picking 1 y, 1 e, and 1 m?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5373511550.\nAnswer: 2, 5, 11, 9770021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*q - 47*q + g - 7, -7*q + 41 = -4*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 684, 1367, 2058, 2763, 3488, 4239?\n\"Answer: o**3 - 2*o**2 + 682*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:22 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*s + h, 5047*s + 3*h - 13 = 5045*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19688213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/3 + 68*n**3\/3 + 42*n**2 - 68*n\/3 - 128\/3 = 0.\nAnswer: -32, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10268599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149576853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3537 is divided by 91.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from {a: 4, c: 2, p: 6, w: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1128 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 + -4. Let w = q + 0.1. Sort -1, w, -3 in ascending order.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4519382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**3 - 2*y + 1. What is t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13441*o - 1061727. Determine c(-79).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -6, 1015, -3 in increasing order.\nAnswer: -29, -6, -3, 1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -2. Calculate the common denominator of 2\/4 + 32\/6 and (-206)\/(-40) + c\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 18*f**2 - 2*f - 30. Calculate u(-10).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/5 + 27172*i\/5 + 2145792 = 0.\nAnswer: -384, 13970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 9*x**2 + 2*x + 22. What are the prime factors of c(6)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 3*u + 2. Let i be j(-2). Suppose -3*d = -12, i = 2*q - 3*q + 2*d. Suppose q*t - 6 = t. Calculate the greatest common factor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.5038 months to millennia.\nAnswer: 0.07120865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 0*l - 9*l)*(l - 3*l + 0*l) - 4*l**2 + 6*l**2 + 0*l**2 + (4*l + 0*l + 0*l)*(-3 + l + 3) to the form w*l + p + c*l**2 and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 11. Suppose -2*x = 3*m + 28, -5 = -2*x + 5*m - 1. What is d(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641.3804 rounded to 0 dps?\nAnswer: -641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(1700) + -5.\nAnswer: -5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241613 and 5396?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 42*w + 308. Give m(-9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 107 (b) 0 (c) 1 (d) -5 (e) 12.1 (f) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -a, 347*a + 5 = s + 351*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:42 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -254 - -272. Calculate the lowest common multiple of b and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -593, 4, -1, -17, 38, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -2 + 4)*11\/2*(8 - 10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1352 and 9897992?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/682)\/((-2)\/(-4)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvokovvkov.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -37. Let o = 20 - 4. Suppose o*a - 71 = 9. Calculate the remainder when q is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 25535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 9*m - 9. Let c be r(11). Suppose 90 = -8*u + c*u. Is 13 a factor of ((-24)\/9)\/((-1)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -61*v**4\/24 - v**3\/6 - 11*v**2 - 4*v + 2. Let j(f) = 21*f**2. What is j(u(t))?\nAnswer: 78141*t**2 + 2562*t + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = 4*t, 4 - 7 = 3*t. Let r = 3 + -2. Suppose n*o = -5*d - 2, -2*o + 5*d + r = -6. Calculate the lowest common multiple of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464177173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/((-42)\/125)*675\/(-375)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1102752 and 80325.\nAnswer: 1406008800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 1740 - 590. Let n(j) = -12*j + 11. Let t be n(-6). Suppose -82*w - l = -t*w. Calculate the remainder when w is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 + 229*i - 6233. What is l(18)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783 - 6*y**2 + 9*y**2 - 775 - 784 + 2342.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 32 = 16*s. Solve -z - 4*w + 9*w + 26 = 0, 4*z + s*w = -16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102363, 101810, 101267, 100740, 100235?\nAnswer: 99758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfagfgggx. Give prob of picking 1 g, 2 f, and 1 t.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(9\/(-15))*3328\/(-520). Calculate the greatest common factor of 268 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 2*x. Let q be u(2). Let i(d) = d**2 + 5*d - 5. Let o(g) = -1 + 2 - 16*g + 15 + 2*g**2 - 4*g**2. Determine q*i(w) + 5*o(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*-3*6*sqrt(1216)*2*1)**2.\nAnswer: -7879680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 1, m: 3, q: 3, h: 1}. What is prob of sequence hxf?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -1594439.\nAnswer: -1594439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/150 + p**4\/60 - 2*p**3\/5 - 7*p**2. Factor u(w).\nAnswer: 2*(w - 2)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1233.8 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34484886 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8548 or 8317?\nAnswer: 8548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:58 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -729\/65 - 18\/13. Calculate the common denominator of 27\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57443436*m*p**2*u**3 + 2*m*p**2*u**2 - 5*m*p*u**3 - 2214982*m*u**3 wrt p?\nAnswer: -114886872*m*u**3 + 4*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w = -55. Let n = w - -92. Suppose 4*p - n = -4*o + p, -o = -5*p - 3. Solve 3*h - o + 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433.3 times 467?\nAnswer: -1136351.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3319 to 1 dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.7648465 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-178)\/2*(3 - 2). Suppose 996 = -6*y - 0*y. Let t = g - y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) 2\/9 (c) -1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c**2 + 8*c - 4. Let t be y(4). Solve 4*n = -0 - t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 - 667456*p**3 + 74246025216*p**2 - 2752448532889600*p - 44058186242719744 = 0. Calculate p.\nAnswer: -16, 111248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -764*(-12 + (-1694)\/(-140))\/((-2)\/235)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-35)\/(q**(1\/3))**(-9\/2) assuming q is positive.\nAnswer: q**(-137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147783871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:24 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, e: 2, t: 7, b: 1, j: 6}. Give prob of picking 2 t and 1 j.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 237*l**2\/5 - 15411*l\/5 + 78.\nAnswer: 3*(l - 65)*(79*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3884.171 and 9576.2.\nAnswer: 5692.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxzaxpxgxgaxpaaaxxxb. What is prob of sequence xgba?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*s + 2*s + s)*(-5*s**3 + 2*s**3 + s**3).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -500462.48 to the nearest 100.\nAnswer: -500500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: (-612)\/204*1*(-15)\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + l**3 - 2*l**3)*(-2 - 3 + 7) + (2*l**2 + l**2 - 6*l**2)*(0 + 2*l + 0) + 12*l**3 - 18*l**3 + 11*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 860*k*l**3 - 4817*k*l - k + 1997928 wrt l.\nAnswer: 2580*k*l**2 - 4817*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*4*-2*sqrt(17))**2*6.\nAnswer: 58752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/7066367 and -39\/21841498.\nAnswer: 240256478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a**3 + 4*a**2 + 4*a + 4. Let b(j) = -4*j**2 - 13955*j**3 + 13956*j**3 - j + 3*j**2 - 1. What is 4*b(n) + x(n)?\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r - 5*y, 6*r - 7*r - 5*y = -8. Let n(q) = 3*q**2 - 6. Let t be n(r). Solve 0 = -4*m - 0*m - b + 5, 5*b = 3*m - t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 25*m**3 + 9*m**2 - 5*m - 5. Let o(u) = -25*u**3 - 10*u**2 + 6*u + 6. Calculate -6*h(n) - 5*o(n).\nAnswer: -25*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3713987 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9539 is divided by 330.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*f + 72*f + m - 101 + 99, -4*f + 8*m + 20 = -2*m - 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 4) to base 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 103. Calculate the highest common factor of 104 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -26. Let x = o + -27.8. Let w be (6\/30)\/((-1 + 2)\/1). Sort x, w, 4 in decreasing order.\nAnswer: 4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44285 and 15630?\nAnswer: 265710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 110*h - 5002. What is the remainder when f(50) is divided by 75?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c + 0*c + 0*c + (0*c + 4*c - c)*(7 - 2 - 3) + 3*c + c - c + (2 - 5 + 2)*(-2 - 9 + 2)*(0 - 2 + 4)*(-2*c + 0*c + 4*c) as f*c + j and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13148250*u**4*y**2 - 1018*u**2*y + 10821*y**2 wrt u.\nAnswer: -315558000*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*b**2 + 7*b**3 + 643*b**2 - 321*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 3*c**2 - c - 5. Is z(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbvbvvbfrfzlvrf. Give prob of sequence fbbf.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(26\/12)*45\/(-54)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953665 is divided by 395?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 207 + 87903?\nAnswer: 87b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 14 + 19 - (-1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -537. Let o = b + -404. Solve -6*y = -o*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-2 - 1 + 15 + (-1 - 1 + 1)*(0 - 2 + 3))*(-z + 4*z - 44*z).\nAnswer: 1353*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u*x**2 + 24117*u*x - 12896*u + 11 wrt x.\nAnswer: 2*u*x + 24117*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 19. What is the third derivative of 9*a**2 - 10 + 7 + 3 - 2*a**l wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwgwwwwwwwxwww. What is prob of picking 3 w and 1 g?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3. Suppose -12 = -22*j + 10. Suppose 5*l - 13 - j = -r, r - 4*l + 4 = 0. Let o(t) = 8*t**3. What is r*o(b) - 40*f(b)?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49984*g - 52305*g - 146223 = 0 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(15\/8))\/(d\/d**(-6)) assuming d is positive.\nAnswer: d**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by 1.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 4*u**2 - 15*u + 1. Calculate the remainder when 167 is divided by p(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 2, x: 11}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205673, 410469, 615253, 820019, 1024761, 1229473, 1434149, 1638783?\nAnswer: 1843369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - -13)*6\/4. Let d(t) = -2*t + 14. Let u = -2 + 10. Let h(l) = l - 5. Give m*d(k) + u*h(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(475) - ((-1 + sqrt(304))**2 + sqrt(304))).\nAnswer: -303 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 739421, 1478914, 2218407, 2957900, 3697393?\n\"Answer: 739493*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - l - 1. Let z(j) = -j**2 + 4. Determine -2*m(h) - z(h).\nAnswer: 3*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aashx. What is prob of picking 1 h, 1 a, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3435.\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -580 - -580.2. Let a = -3.3 + 3. Let b(m) = m**2 - 1. Let u be b(1). What is the third smallest value in u, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (101\/3)\/(15\/45). Calculate the highest common divisor of h and 1957.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -70 and -143123921.\nAnswer: -143123991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -91119744 divided by -2172?\nAnswer: 41952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose -5*m - w + 2 = 0, -2*m + t = -m + w. Let z(u) = -u**3 + 5*u**2 - 2. Let s be z(5). Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**3\/3 + w**2\/2 + 1128. Let h(v) = 10*v**2 + 5*v - 3. Calculate h(x) - 5*p(x).\nAnswer: 5*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 247650 and -6186?\nAnswer: 253836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 13*n - 38. Let p be d(-8). Factor m**3 - 3*m**4 + 5*m + 2*m**4 - 2*m + 5*m**p.\nAnswer: -m*(m - 3)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214484 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2162829.4 to the nearest ten thousand.\nAnswer: 2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.66482 + -0.04146.\nAnswer: 5.62336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20792 and 7797.\nAnswer: 2599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b + 4*a, 2*b + 2*a - 11 = b. Suppose b*k = 8*k. Solve r - 3*r - 4 = k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 187?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6690264 and 2058.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273158551.\nAnswer: 7, 29, 1399, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g + 5*w - 23, -3*g + 2*w = 0. Let c be (-3)\/(-3)*(g + 1). Solve -12 = -0*v - c*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 16*d**2 + 9*d - 19. Let r(l) = 7*l**2 + 4*l - 10. Let k(v) = 3*m(v) - 7*r(v). Let b be (1 - 1 - 0)\/2. What are the prime factors of k(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 5:48 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 12 = 3*r + 5*f, -r - 4 = -f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 + 4 - 5 + 1. Let m(q) be the second derivative of q**4\/12 - 6*q. What is k(m(d))?\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741997 is divided by 217711.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*m, 7 = -5*r - 2*m + 21. Suppose 0 = -r*x - 3 + 27. Solve 2*p - 3 = -5*o - 11, -5*o - x = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1 - (2 - (-10440)\/(-10436))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21349199.7 to the nearest 10000.\nAnswer: -21350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*3\/(66\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 1\/60*u**5 - 13*u**2 - 5\/24*u**4 + 1\/2*u**3 + 0*u + 1\/120*u**6 + 0. Find l, given that r(l) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 5*l + 2. Let y be a(-5). Suppose -13 = s - y*s. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(27)\/(sqrt(3)*1*-4))\/((sqrt(108) - (sqrt(108)*-2 - sqrt(108))) + sqrt(75)*3).\nAnswer: -sqrt(3)\/156 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -116, -115, -80, -5, 116?\n\"Answer: w**3 + 8*w**2 - 58*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88539034*w**4 + 156918197 wrt w?\nAnswer: -354156136*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 25 = 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 541, -6, -2 in decreasing order.\nAnswer: 541, 14, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 126 + 4*s**2 - 126 - 2*s**3 to the form d*s**3 + l + w*s + g*s**4 + y*s**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 19685 - 19685 + 8733*a in the form o + z*a and give z.\nAnswer: 8733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15216193.4 to the nearest 1000.\nAnswer: 15216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 22 = -7*n. Let g(u) = u - n*u - 83 + 84. Let s(b) = -b**2 + 7*b - 2. Let w be s(6). Give g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -127231?\nAnswer: 2\/127231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:49 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(63)\/(sqrt(90)\/sqrt(10)) + sqrt(7))**2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -16 - (-3 + 5)) + 101 + -10?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 972 by 9.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 + 1 = 0. Let j = 1 + y. What is the second derivative of -4*r - j*r - 3*r**2 + 2*r + 2*r**2 wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5181803266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/9, -47323, 0, 0.3.\nAnswer: -47323, -1\/9, 0, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 222, 397, 594, 819, 1078, 1377?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10710, -10674, -10624, -10554, -10458?\nAnswer: -10330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -2644?\nAnswer: -2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -39167*y + 156658. What is k(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/25, 0, -37, 0.02?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10058924? (a) 5 (b) -3 (c) 1 (d) -0.1 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9023 - -0.0977. Let z be 3 - (-32)\/6*(-6)\/4. Put z, 34, u in decreasing order.\nAnswer: 34, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(-4 + sqrt(2299) + -3*sqrt(2299) + sqrt(2299)))**2.\nAnswer: -6945 - 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**11\/6930 + c**7\/840 - c**4\/6 - 6*c. Let v(t) be the third derivative of o(t). Find the third derivative of v(l) wrt l.\nAnswer: -960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4 + 82*q**2 + 103*q.\nAnswer: 24*q**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - x)*(-3 - 10 + 8)*(-2*x + 0 + 0).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**5\/60 + y**4\/8 + y**2 - 4. Let m(w) be the second derivative of g(w). Find the second derivative of m(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -3*g**4\/4 - 2*g**3 - 3*g**2\/2 + 4. Solve s(j) = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176*k**2 - 234*k**2 - 240*k**2 - 233*k**2 - 238*k**2 - 228*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/2, -4331, -4, 0.11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*f - 34, 3*f - 16 = -2*u + 4*f. Let o be 3*(1\/6 + 507\/u). Let s = o + -154. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 4078, 14760, 36172, 72040, 126090, 202048?\nAnswer: 303640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 2eb21?\nAnswer: -2eb1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 411676 - 244265. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyo when three letters picked without replacement from oyyyqyyqq.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m**2\/9 - 460*m\/9 - 1058\/9 = 0 for m.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2425.3 + 26.34.\nAnswer: 2451.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (-1 - -1) + 142. Put -2, -1, a in increasing order.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 81?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 151 = -2*r - 142, -4*r + 0*r = 8*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 33146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 297 by 31965.\nAnswer: 99\/10655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33017 or 33036?\nAnswer: 33017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57.7193 tonnes?\nAnswer: 57719.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -501, -943, -1335, -1671, -1945?\n\"Answer: m**3 + 19*m**2 - 506*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 - 2*g - 7. Let t be (-1332)\/(-740)*(-5)\/(-3). Let m(h) = -3*h**2 - h - 4. What is t*a(y) - 5*m(y)?\nAnswer: -3*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + d + 7, 5*d = 25. Let n be (4\/(-6))\/((-4)\/f). Let w = 2.86 - 2.9. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1471*a + 2. Let q be n(0). Let 2\/11*x**5 + 16\/11 + 8\/11*x - 20\/11*x**q - 10\/11*x**3 + 4\/11*x**4 = 0. What is x?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (26 + -13 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49299 + -34805. What are the prime factors of x?\nAnswer: 2, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298 + 799. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 70 = -4*u - m, -u + 10 = 4*m. Let h be (-2)\/(-2) + (-6)\/u. Let 0*v - 5\/3*v**3 + h*v**2 + 0 = 0. Calculate v.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - -1) + 6 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -31445236 and 0.8.\nAnswer: -31445235.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6762 in 1\/3, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b + 2. Let q be h(2). Is -2*2\/(q\/844) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 4, g: 2, y: 2}. What is prob of picking 1 y and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/1*6\/4. Suppose -3*u = 5*l - 2*l - 300, 5*l = q. List the prime factors of u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -65, 22 in decreasing order.\nAnswer: 31, 22, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 2*p**2 - 14*p + 7. Is k(6) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*(-4)\/30)\/(4\/(-20)). Let z = -16 + 23. Suppose -z*b + 2*b = v - 44, 0 = -b - v + 12. Solve -r = 5*f + b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/7? (a) -4 (b) -32 (c) -3\/2 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*t*z**4 + t*z**3 + 14*t*z**2 - 2*z**4 - 21*z**2 wrt z.\nAnswer: 1320*t*z + 6*t - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 5*h + 199. Suppose -h*z - 9 = -6*z. Which is bigger: -9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 - 4 + 3*r**3 + 4.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j + 34 = 0. Suppose j*t - 22 = 6*t. Suppose 5*d - 541 = -4*w, -4*d - t*w = -6*w - 440. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 100. Let w be (f - 12)\/(-1 + -1 - 0). Solve -2*x + 3 = w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*l + 18 = 3*y, 5*l = 4*y + 12. Find the third derivative of 2*t**3 - t**3 - 3*t**3 + 4*t**3 - 4*t**y wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:08 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - 4) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 45*r + 174. What is y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooai when four letters picked without replacement from {a: 2, o: 2, i: 9, m: 5}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 323779332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.099 + 0.299. Which is the second smallest value? (a) j (b) -2.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = -3*w, -2*w + i + 11 = 4*i. Solve -5*v + w*h = 18, v = -0*h - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - -11) + -45 - (0 + 3) - -86?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -142566?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, -11 in descending order.\nAnswer: -3, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.61, -3, -1\/28, 2, 16.\nAnswer: -3, -1\/28, 2, 2.61, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/9 + 1559*t**4\/3 + 35260*t**3\/9 - 18220*t**2 - 563648*t\/9 + 475456\/3 = 0. Calculate t.\nAnswer: -19\/2, -4, 2, 4, 2346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/46230 and -64\/12843.\nAnswer: 197910630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 19. Suppose 4*v + v + 15 = 0. Let p = v + 5. Solve p*a = -s + d, -8 = s + 3*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-2)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-192) - 531\/(-108). Factor -z*o + 7\/3 + 3*o**2 - 1\/3*o**3.\nAnswer: -(o - 7)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 95*g**2 + 20 + 55*g**2 + 3*g**3 + 40*g**2.\nAnswer: 3*g**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiriic. What is prob of sequence iri?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 233 - 233)*(3*c + c - c).\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 11:58 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from niinnnnnnninniniin.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 o when four letters picked without replacement from {u: 4, h: 9, o: 3}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19147 + -16797. What is the highest common divisor of 75 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + 86. Let j(t) = -3*t**2 - 3*t + 4. Let h be j(-3). Let i = h - -35. What is the greatest common factor of i and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717393.773 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -105 + 300. Let z = -23190 + 23294. What is the highest common divisor of n and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -2, 12 in increasing order.\nAnswer: -55, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 600\/13 - 3743\/78. Let w = 2503 - 9957\/4. Calculate the common denominator of s and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 514*h - 501*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 64.00108. What is o rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 15 + 2*c + 12*c**2 - 9*c**2)*(165*c**2 - 291*c**2 + 197*c**2 + 1) as q*c**3 + x*c**2 + z + j*c**4 + n*c and give j.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2\/2 + 979025*t - 191697990125\/2 = 0?\nAnswer: 195805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from eeceaaxacexxote?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 5*g**2 + g**2)*(3*g**2 - 4*g**2 + 0*g**2).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -2\/7 (c) -1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:37 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 18 + 11 + 20*z + 12 as n*z + c and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*x - 33*x**4 + 225*x + 2*x**4 - 3 + 3 + (-x + 2*x + x)*(2*x**3 + 3*x**2 - 3*x**2) in the form p*x + r*x**2 + a + o*x**3 + g*x**4 and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 118471 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4582.995 kilograms in grams?\nAnswer: 4582995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6981, 7265, 7739, 8403, 9257, 10301?\n\"Answer: 95*u**2 - u + 6887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (sqrt(171) - (1 + (sqrt(171) - (sqrt(171) - -2*sqrt(171)))) - (sqrt(171) + (-5 + 1*sqrt(171))**2))*-2).\nAnswer: -72*sqrt(19) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 837536*s**3 - 14*s**2 - 7465265*s wrt s?\nAnswer: 5025216*s - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 45, -0.3, 0.1, -1\/2, -7, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 1 + 5)*(177 - 398 - 259)*(-b + 3 - 3) to the form y + l*b and give l.\nAnswer: -4320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-12))\/(1\/3). Suppose -o - n*j = -13, j + 0 - 2 = 0. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*q - 21*q - 29965. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 55*q + 125*q - 20)*(-6*q + 2*q**2 + 6*q) + (q + q - q)*(-q + q**2 + q).\nAnswer: 141*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5900461 in descending order.\nAnswer: 0, -4, -5900461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 23 = 32 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from nwa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402641.\nAnswer: 53, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -5b?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71625 and 38391?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2751 and -2.\nAnswer: -0.5502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0*r**3 + 5 + 0*r**5 - 61\/10*r**6 + 0*r**4 - 11*r + 71*r**2. What is the first derivative of u(p) wrt p?\nAnswer: -732*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66709124?\nAnswer: 2, 16677281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.52*14.6.\nAnswer: -430.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(-5)))\/(((s*s**8*s)\/s)\/s))**(-1\/11)*(s**(3\/5)*s**(7\/5))**(-42) assuming s is positive.\nAnswer: s**(-910\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 58*m + 298. What is w(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000053659 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*u - 188 = -u, -4*c - 2*u - 182 = 0. Let a = c - -50. Solve -5*z = -3*i + a, 0 = 2*z - 0 - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4103 = -90*x + 79*x. List the prime factors of x.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/3 - 8*z**4 + 530*z**3 + 8356*z**2\/3 - 118592*z + 221952 = 0.\nAnswer: -24, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*g - 2*g = 17, 2*g - 13 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100001111011000001110 + 1?\nAnswer: -11100001111011000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 + 1)*(3 + 2 + 1)*(-2*p + p + 0*p) as n + c*p and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 144162 (base 7) to base 15\nAnswer: 83d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130.5 + 131. Let v = -5 + -1. Let n = v + 5.6. Which is the third biggest value? (a) m (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3006\/(-48) - 12\/32. Calculate the remainder when 51 is divided by (-180)\/(-7) - 18\/n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -61, -147, -267?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than 101?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240 + 242. Find the third derivative of -63*b**z - 168*b**2 + 93*b**4 - b - 14*b**6 + 11*b**6 wrt b.\nAnswer: -360*b**3 + 2232*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 2*p - 344. Is p bigger than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 - 5. Let u be g(-5). Let r be ((-4)\/10)\/(4\/u). Let c be r\/(-10) + (-24)\/(-5). Solve m + 6*v + 2 = c*v, -20 = 4*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1035355 - -3106066\/3. Factor -41\/3 - y*o**2 + 14*o.\nAnswer: -(o - 41)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 16. Suppose 4*f = -d*h + 36, 0 = 3*f - 5*h + 3*h - 34. Solve 9*y - 2*w - f = 4*y, -3*w = -5*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13581\/162 - (10\/12 - 1). Let k = s + -11. List the prime factors of k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4960*s - 325288 + 325288. Let c(h) = -h**2. Calculate w(c(o)).\nAnswer: 4960*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269 - 276. Let r(b) = 21*b**2 + 9*b - 55. Is r(z) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f - 7\/2*f**2 - 2. Give s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*d + 153*d - 3672 + 3659.\nAnswer: -d - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 88*w + 42. Determine b(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/12*3*50. Let v(o) = 21*o - 291. Let f be v(18). Let r = f - z. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 3*s**5 + 3*s**5 + (18*s**3 + 9*s**3 - 2*s**3)*(4*s**2 - 2*s**2 - 4*s**2).\nAnswer: -48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9076 + -9093 - (3 + 2 + -7 + -27)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m\/(m*m*m**(-2\/47)*m))*m)\/m))\/(m\/((((m**(-3\/4)*m)\/m)\/m)\/m)))**(6\/35) assuming m is positive.\nAnswer: m**(-3783\/3290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 25 = 20. Suppose -3*a + 3 = 12, 4*a + 21 = 3*p. Let i = d + p. Solve -i*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 443, 430, 415, 398?\n\"Answer: -p**2 - 10*p + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 62*c**2 - 193*c - 135. Determine l(65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - (-45 + 40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/2 + -45611 + 12\/(-4). What is y rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-24 + 37 - -29) - (14 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 - 4. Let s be a(3). Let o(b) = b**2 + 4*b. Let x be o(s). Let z(y) = 6*y + x*y - 4*y. Let k(l) = -2*l. Calculate k(z(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u + 8. Let g(n) = 2 - 3*n**2 - 7*n + 3*n**3 + u*n - 2*n**3. Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8030.\nAnswer: 2, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 30 = 33*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -18*z - 27. Let h be d(-3). Let j(g) = 11*g - 94. What are the prime factors of j(h)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1911116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 614248570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 298.77195 months?\nAnswer: 2.48976625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23*212.495\nAnswer: -4887.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009001 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 118 = -192. Let q = p + -44. Let k = 46 - q. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 5*v - 10 = -0*v - 2*z. Suppose -192 = -a - 2*o, -v*o + 7 = -5*a + 919. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -635? (a) 3\/7 (b) 13 (c) 0.9 (d) -2 (e) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7388890 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/75 and 45\/53.\nAnswer: 3975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-35) + (1461\/(-819) - -2). Let x(p) be the first derivative of 3 + 9\/13*p**2 - 4\/13*p - r*p**3. Factor x(v).\nAnswer: -2*(v - 1)*(7*v - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248.852087 seconds in weeks?\nAnswer: 0.0020649009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/4 - 4*d**3 + d**2\/2 - 10*d + 157. What is c(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 731774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 201812 * -10\nAnswer: -2018120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.871*-2.\nAnswer: -87.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 129678, 259358, 389036, 518712?\n\"Answer: -d**2 + 129683*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*a - 9056 = 316*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630762329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24.1 and 550327228.\nAnswer: 550327252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**5*y - 2807*m**5 + m**3*y + m**2 - 407*m*y wrt m?\nAnswer: 120*m**2*y - 168420*m**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220.861 + 219.9. Let k = y - 0.039. What is the second biggest value in 0.2, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 - 10*q + 39. Let d be i(6). Suppose 0 = -d*j + 67*j - 240. What is the remainder when 84 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 156764*y\/3.\nAnswer: 2*y*(y + 78382)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 75449, 75523, 75625, 75767, 75961?\n\"Answer: 2*v**3 + 2*v**2 + 54*v + 75391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(154\/21) - 99\/6. Find the common denominator of ((-126)\/(-75))\/((-96)\/z) and 57\/176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - (-137 - -53) - (13 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 62453, -6, 0.029?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23702244*a**2 + 107763796.\nAnswer: -47404488*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 36*s**3 - 88*s**2 = 0. What is s?\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 3:40 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 7:43 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-252))\/((-1)\/(-24)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-20020)\/1232*(-1)\/(-5))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -1122352404?\nAnswer: -1122352444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 25 - (-3 + -4 + 11 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 1 + 12 - 14*y + 21*y + 55 + 1.\nAnswer: 7*y + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 195823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10266 and 145?\nAnswer: 51330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 = -3*w, -10 = -3*o - 5*w. Let f(d) = -d**3 - 4*d**2 - d. What are the prime factors of f(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -826.5 - -827. What is the smallest value in -2\/11, 11\/2, t, 4\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79725*p**3 + 421*p + 4 wrt p.\nAnswer: -478350*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*d + 31 = 0, -3*g + 5*d + 1654 - 1641 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3, 81*h - 1599 = -5*c + 79*h. Calculate the remainder when 485 is divided by c.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -7)*(-24)\/216. Factor 0 + o**2 - h*o + 2\/3*o**3.\nAnswer: o*(o + 2)*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.226 and -0.5?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 2*m - 120 = 0. Let b be (12\/(-4))\/(m\/20). Suppose 0*c - 11 = -4*h + c, 4*c = 5*h - 22. Solve -r = 3*t - 2, -b*r - 3 = h*t + r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 1, 0, -8, 11, -6 in descending order.\nAnswer: 11, 1, 0, -6, -8, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-6)*3)\/((1\/17)\/(288\/(-2448)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 66, 5, -2, -2\/7, 2, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z + w - 59, 81 = 3*z + 4*w. Factor -600*m - 1875 - 44*m**2 - z*m**2 + 27*m**2.\nAnswer: -3*(4*m + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 3*s**2 + 2*s - 5. Let l be y(2). Is 7 a factor of (86\/7)\/(4*l\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/204*68\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29803, -59619, -89437, -119257, -149079, -178903?\nAnswer: -208729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43182755 rounded to 3 dps?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 4*o - 10. Let w be g(4). Let u be (-1*2)\/(((-16)\/w)\/(-4)). Solve -u*m = -0*m + 2*k + 25, 4 = 2*m - 2*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -1\/2*d**2 - 76 - 2*d. Let o(l) = -1. Suppose 0 = -2*m + 4*z - 10, -3 = -5*m - 4*z - 14. Determine m*b(t) + 6*o(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 303, 390, 479, 570?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*m - w, 2*w + 14 = -4*m + 8*m. Suppose -3*x - m*b = -34, 0*x + 4*x = -5*b + 37. Suppose -40*u**2 + 15*u**2 + 22*u**2 - x*u = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 364*n - 28*n**3 + 189*n + 2 + 185*n as x*n + p*n**3 + o + q*n**2 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -285*k - 70956. Calculate d(-249).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4123352242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 262.5068ns?\nAnswer: 0.2625068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -1671*t + 1673*t + 71, -13*t - 172 = -k + 258 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 104\/18 - 12\/(-54). Let v(o) = o - 8. What is v(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008922421 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596962.3229 rounded to the nearest 10?\nAnswer: 596960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1265 divided by -5\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b + 81. Calculate k(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + m - 64238 = 0, 96331 = 3*d - 11*m + 6*m. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 12. What is the remainder when 13 is divided by c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 57*u**3 - 576*u**2 - 2268*u.\nAnswer: -u*(u - 42)*(u - 18)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 2, b: 9}. What is prob of picking 1 b and 2 v?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1200)\/5000*5)\/(507\/5)\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 20*o + 8. Let g be j(10). Suppose -4*d = -2*d + g. Let t = 6 + -15. Let w(a) = 3*a + 1. Let v(p) = -7*p - 2. Give d*v(u) + t*w(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 302.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.161538 + -0.038462. Let k = -12 + 19. Sort k, h, -5.\nAnswer: -5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**2 - 33*k - 18.\nAnswer: 3*(k - 6)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 745020181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7183530 is divided by 49541?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*o*z**3 + 9726*o*z**2 + o + 853*z**3 + 16*z - 142 wrt o?\nAnswer: 29*z**3 + 9726*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - l - 3*l = -32, -5*l = -5*v + 35. Let o be (0*3\/v)\/(1 - 2). Solve o = f + 4 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8 (b) -1 (c) 2 (d) -23 (e) -4 (f) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41369840 take away 3094571?\nAnswer: -44464411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 3 (c) -0.1 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -12*a + 22*a - 6*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 - w + 1. Let x = 4 - 2. Suppose x*b - 5*g - 11 = 11, 3*b - 3*g - 15 = 0. Give k(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527.2 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 8)*-1 + 7. Suppose 0*x + 15 = -z*x. Which is the second biggest value? (a) x (b) -0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*n + 21, 5*i = 3*n + 2*n. Suppose -i + 112 = z. Calculate the remainder when z is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1402185176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 4*n - 663. What are the prime factors of n?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*10447954\nAnswer: 104479.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 - 20995*c**4 - 302*c**3 + 16*c**2 + c - 122932 wrt c.\nAnswer: -60*c**2 - 503880*c - 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 8*g + 2. Let n be c(8). Suppose -3*i = 4*a - 152, -2*i - 54 = -3*i - n*a. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/60 + n**2. Let s(d) = 30 - 6 - 71*d**2 - 67 + 17 + 10 + 15. Calculate s(w(v)).\nAnswer: -71*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 549414\nAnswer: -1\/274707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + x - 36, -2*x - 39 = 4*b - 5*b. Let f be 6\/b*(8 + -7)\/1. Are f and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 11:18 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/6)*x*x*x**2*(x**(1\/5))**(-17\/6) assuming x is positive.\nAnswer: x**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.798 + -1.44. Let i = q + 0.042. Let c be 8\/20 + (-13)\/20. Sort 2, c, i, -0.5.\nAnswer: -0.5, c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37359 and 0.1.\nAnswer: 3735.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 - 80746*b - 161488 = 0?\nAnswer: -80744, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 6\/8)*59\/11505*-52*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaar. What is prob of picking 1 a and 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfefffefffessnsest. Give prob of picking 4 f.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4728253704 to the nearest 1000000.\nAnswer: -4728000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 28*o - 25. Let x be m(27). Suppose -32 = x*g + 5*a + 74, g - a + 39 = 0. Let p be 0 + 29\/9 - (g + 46). Is 0 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 = -4*b, -3*q + 4*b + 42 - 34 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*s + 2, 3*s = 2*v + 2 + 11. Suppose -s*i + 0*i - 4*w + 14 = 0, 5*i - 5*w + 35 = 0. Let u = -0.06 - 0.04. Sort i, 0, -8, u in increasing order.\nAnswer: -8, i, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/5*130\/52\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8286\/19 bigger than -437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 105*g - 6170. Calculate j(68).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 + 8*z**2 + 136)*(13 - 5*z - 13).\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and 59\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 21 = -2*y - y, -5*y = -25. What is the remainder when 2 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20227314 (base 8) to base 6.\nAnswer: -231320540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 777 = 2*p - u, 0*u + 387 = p + u. List the prime factors of p.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3290 and 22?\nAnswer: 36190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -459, 0.3, 4, -2\/9 in increasing order.\nAnswer: -459, -2\/9, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033162 (base 13) in base 14?\nAnswer: -920a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*g + 3*w, g + 2780 = 2*w + 2783 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/15)*h)\/h**(-1))**(2\/29) assuming h is positive.\nAnswer: h**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -7 (c) -26924\/843\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159380478 and 2538?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = 23*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 15) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1311, 7, 1, 5, 3, -3 in ascending order.\nAnswer: -1311, -13, -3, 1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010996 rounded to four dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5799390 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 792277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 874 divided by -4\nAnswer: -437\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551 divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.77? (a) -1 (b) 9 (c) -0.2 (d) 235 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101471017 to the power of 1\/2, to the nearest integer?\nAnswer: 10073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 693*f - 2106.\nAnswer: 3*(f - 3)*(f + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/4 + 1199*l**4\/2 - 14491*l**3\/4 - 40282*l**2 - 36060*l = 0 for l.\nAnswer: -2404, -5, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 2.04?\nAnswer: 0.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 3) to base 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -25. Let l(u) = u**3 - u + 1. Let y(d) = 7*d**3 - 8*d + 8. Calculate j*l(x) + 3*y(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -1, -0.5, -0.09, 3\/7516 in descending order.\nAnswer: 4\/9, 3\/7516, -0.09, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (0 - (-10)\/4). Let c = 1.03 - 0.02. Let r = -3.99 - c. Sort x, 1\/6, r in decreasing order.\nAnswer: x, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 59. Let q(g) = g**2 + g. What is the tens digit of q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.193302451 - -0.1933. Round n to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139535 is divided by 151.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 11:38 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 18. Let i(w) be the third derivative of w**6\/180 - 5*w**3\/2 - 208*w**2. Let r(y) be the first derivative of i(y). Calculate r(j(k)).\nAnswer: 2*k**2 - 72*k + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 14.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*j + 6 - 15 = 0, 12 = 3*i - 2*j. Suppose -i*g + 608044 - 9008044 = 0. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a5381 - -4?\nAnswer: -6a537a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*v**2 + 36*v**2 - 37*v**2 - v - 97 + 14*v**2 + 0 wrt v.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -314*w - 591*w + 32580 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4941 - -66?\nAnswer: 49a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63844 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 4*t, s + 4 = 3*t - 1. Let u be (((-72)\/15)\/t)\/((-4)\/10). Let i(m) = -m**2 - m + 4. Let l be i(0). Solve u = -l*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -953, -964, -977, -992, -1009, -1028?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 - (-243178)\/24440\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3972247 + d**2 + 10*d + 3972247.\nAnswer: d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3, 1, 220 in ascending order.\nAnswer: 0.2, 1, 3, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 8:01 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 11. Suppose 5*p + 14 = -q. Let v(t) = 140000*t**3 + 2*t + 6. Let k be v(p). What is k rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86*d - 60*d + 121*d + 26)*(-d**2 + 4*d**2 - 2*d**2) in the form p*d**2 + o + r*d + u*d**3 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-58)\/(-203) + (-38)\/(-14). Does 20 divide (-1 + t - 4)*(-945)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4340.7 + 4341. What is the fourth biggest value in -2\/9, 0.2, 7, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 2*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n + 6*n**3 - 23*n - 21*n.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 14, 38, 72, 116?\n\"Answer: 5*l**2 - l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 50*l**2 - 3*l + 8. Let v(h) = 151*h**2 - 8*h + 22. Determine -11*i(s) + 4*v(s).\nAnswer: 54*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-35) + (-15)\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z, 2*z = -5*y + 9 + 115. Let g be (-15)\/y*2 - -1. Let i = 4\/9 + -7\/9. Is i less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1372 and 5782.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*f - 20 = -83*f, -2*f - 25 = 5*b. Let o(c) = -c**2 + c + 12. Determine o(b).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 2*l - 2. Let z be o(-4). Let w be ((-4)\/z)\/((-3)\/210). Let r be (-8)\/w + (-19)\/(-7). Solve 1 = h - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let g(j) = 1345*j + 372*j - 359*j. Calculate p(g(s)).\nAnswer: -3688328*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -2\/7 in ascending order.\nAnswer: -5, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*s - 0 + 28, 0 = 2*s + 8. Solve 0 = -4*a + 8*a - h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245946 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 - 18*k**3 - 26*k**2 + 18*k + 28 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2\/7 - 106368*m\/7 = 0.\nAnswer: -53184, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1318*i + 2144*i - 12 - 3462*i + 12 + 13*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 21. Let x be a(0). Is -19 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 b, and 1 r when four letters picked without replacement from hlhhblrh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 5*y + 3*y)*(-y + 2*y + y)*(-16*y**2 - 85*y + 85*y).\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13929659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t - 3. Let f(c) be the first derivative of -17*c**2\/2 - 7*c + 627. Give -6*f(g) + 13*v(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1267?\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h - 3*a = 62*h - 28, -3*h + 5*a + 44 = 0. Solve -4*o - h = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 5*f**3 - 22 - 92*f**4 + 91*f**4 as b + z*f**4 + c*f**3 + h*f + w*f**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(119)\/(sqrt(28)\/sqrt(4)) + -2*(-1 + sqrt(1088))**2.\nAnswer: -2173 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2 - 6. Let l(m) = -4*m**2 - r*m**2 + 3*m**2. Let f(j) = -j. Calculate f(l(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144527\/14 + -10329. Let v = -2\/971 - 12615\/3884. Find the common denominator of t and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.5 + 15.5. Let o = f - 33. Let t = -0.08 + -3.92. What is the nearest to o in -5, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 - 4*k - 17. Let l(h) = 8*h**2 + 9*h + 35. Let n(x) = -6*l(x) - 13*r(x). Is n(-34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -172 - -3?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*q**3 + 296*q**2.\nAnswer: -3360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(-8)\/24. What is the closest to 2\/3 in 2\/17, m, 0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/443460058 and 43\/5.\nAnswer: 2217300290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 7. Give n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/2 + 189*z**4\/2 - 7511*z**3\/2 - 145609*z**2\/2 + 333300*z - 346834 = 0.\nAnswer: -17, 2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -90665595 divided by 11383?\nAnswer: -7965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 27*s**2 - 83*s - 420. Let r be k(18). What is the third smallest value in -2\/13, 1, r, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -18. Sort 14, q, 2 in decreasing order.\nAnswer: 14, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 13*t + 1. Let n be c(-13). Suppose -4*u = n - 21. Solve 3*h + 2*h = -u*l - 25, -20 = 2*l + 4*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -3\/7, 0.2, -9, 4, -55 in increasing order.\nAnswer: -55, -9, -3\/7, -1\/6, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44559572 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17*-1206303\nAnswer: -20507151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 169825 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 - -72. Let o = -10 - 0. Let g = o - t. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - i + i)*(-47 + 47 + 27*i) + (3*i**4 - 3*i**4 + 2*i**4)*(1 + 2 - 4) - 3*i**4 - 3*i**4 + 3*i**4.\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105507, 105493, 105479, 105465, 105451, 105437?\nAnswer: 105423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*m**2 + 42*m**2 - 13 + 34*m**2 to x*m + k*m**2 + a and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + n - 1. Suppose 3*k = -o - 5, 2*o + 35 = 6*o + k. Calculate the remainder when a(-2) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0100404 or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 11*x - 6. Let i be p(-10). Solve -i*w = -5*j + 32, -4*j = -0*w + w - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -0.42. Let s = 0.6 - o. Let n = -2.02 + 0.02. Which is the biggest value? (a) -0.5 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 - 164. What is the tens digit of (2 + -1)\/(-1) + 6156\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86504902 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let p be 16\/14*(-91)\/(-26). Let g = -3 + 3.1. Sort p, g, y.\nAnswer: y, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-165)\/(-2))\/(-3))\/((-297)\/594).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4103564706?\nAnswer: 2, 3, 71, 1070309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/63 in 1, 3, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -320.5 + 320. Let u = -46 + 45. Which is the fourth biggest value? (a) u (b) m (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1\/117066167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114723, 229406, 344033, 458592, 573071, 687458?\nAnswer: 801741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15224989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(7905\/(-204))*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -5*q. Solve w + q = j, -5*w + 0*w - 3*j = -19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -n - 4*b, -3*b - 2*b + 32 = n. Let s be -1*(-1 - 0) - -2. Calculate the highest common factor of s and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/(sqrt(45)\/sqrt(5)))\/(sqrt(726)*2) + 4*((sqrt(875)\/sqrt(5))**2 + (2*sqrt(70))\/sqrt(10)).\nAnswer: 177*sqrt(7)\/22 + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124242 is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.4*-3701.\nAnswer: 42191.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687664 is divided by 137267?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqq when three letters picked without replacement from {j: 2, q: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*y - 4*o, -y + 11*o + 73 = 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110011011 (base 2) in base 14?\nAnswer: -13ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67.3 - -72.17. Let r = m - -0.13. Which is the third biggest value? (a) 1 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 270*a + 10147. Give y(-38).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n**2. Let d(j) = 2*j**2 - j + 2. Let c(f) = -16*f**2 + 16*f - 32. Let s(p) = -c(p) - 16*d(p). What is s(z(h))?\nAnswer: -1600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/18886 and -43\/57.\nAnswer: 56658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/3720 and -161\/4989750.\nAnswer: 618729000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/36 - 2791*m**3\/9 + 7789681*m**2\/6 + 792*m. Factor p(s).\nAnswer: (s - 2791)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 0*y + (2*y + y - 4*y)*(0 - 5 + 4) - 2 + 2 - 2*y)*(0*y**4 - 4*y**4 + 3*y**4)*(45 + 104 - 11).\nAnswer: 276*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13540299 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*c = 10, 6*c = 25*o - 26*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103493027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-17 - (-7 + 6 + -2 - -2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 54420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15\/2*o**2 + 24 + 57*o = 0.\nAnswer: -2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 3\/5, -0.1, 2\/289, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.032\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 23, 47 in increasing order.\nAnswer: -2, 0, 23, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -465\/108811 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 1, l: 1}. What is prob of sequence hql?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - -97. Let m(n) = 4*n**2 + 1. Let d be m(7). Let t = d - z. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/95?\nAnswer: -6\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 20 - 140. Let a = r + 38. Let p be (-4)\/a - 8\/(-28). Solve -3*i + 9 = -p, 0 = 2*n - 4*i + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/27 or 3?\nAnswer: 44\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -120*v - 7744. Give u(-62).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**3 - 2*p + 1. Let t be n(1). Suppose 2*z = 3*m + 2*m - 56, -2*m - 5*z = -t. What is the smallest common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 187*g**2 - 354*g - 1605. Give f(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4029 + 4057. Which is the nearest to 1? (a) j (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 76. Let g be t(0). Let f = -86 + g. Suppose 0*w = -2*w - u - 27, -4*w + 4*u - 48 = 0. Is w < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 + 189.7. What is the second biggest value in r, 3\/5, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -223*j + 903*j - 229*j - 224*j - 228*j - 4. Suppose -v = -3*v - 28. Let n = 7 + v. Give b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 4. Let b = 2081 + -14563\/7. Put c, -3\/5, b, 2\/3 in increasing order.\nAnswer: c, -3\/5, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2845 divided by -5.\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/156 + 46\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 + 471 = 16*n + 533 - 416 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/2 of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*v = 12, 10 + 4 = -j + 5*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (7 - -1) - 1. Let j(a) = -1 - 1 - 4 - 10*a + 11*a. Let t be j(u). Which is bigger: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*u + 32. Let x(q) = -11*q**2 + 13*q + 13. Let b(r) = 5*r**2 - 6*r - 6. Let n(t) = u*b(t) + 6*x(t). Let l(g) = -13*g. Determine l(n(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zddz when four letters picked without replacement from {z: 2, d: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 3*u)*(393*u**2 + 249*u**2 - 242*u**2).\nAnswer: -400*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8010 by 30.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 165?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 310\/(-25) - (-2)\/5. Let g = -9 - m. Suppose g*l + 3*b - 4*b = 6, 4*l + 5 = -3*b. What is the closest to -1 in -2\/3, -2\/11, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 771 = 3*d - f, 4*f + 562 = 3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -254, 2\/3, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**4\/12 - 11*o**3\/6 - 9*o**2\/2 + o. Does 21 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**7\/420 - 5*t**4\/12 - 4*t. Let o(b) be the third derivative of r(b). Let w(k) = -3*k. What is w(o(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 151805701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 276293.9 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Suppose 2*r + 5*g = r + 17, -2*r + g + z = 0. Suppose r*a + 0*a = 28. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/((-179)\/(-9845)*(-9)\/3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4021, -16785, -38059, -67843, -106137, -152941?\nAnswer: -208255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -3151\/12116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 43*u**2 - 41*u + 55. Calculate d(-42).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4.2, -1 in ascending order.\nAnswer: -4.2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 10. Let o be t(12). Suppose 37*v - o*v - 102 = 0. Calculate the remainder when v is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10820, 10826, 10832, 10838, 10844?\n\"Answer: 6*f + 10814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*c**2 - 19*c**2 + 59*c**2 to j*c**2 + u + n*c and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - -4 - (1 + -1 + 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2125548 and 5.98.\nAnswer: 2125553.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*a + 976*a - 1012 = -612*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490, -496, -514, -550, -610, -700?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -10111101001001000?\nAnswer: 10111101001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26817 (base 11) to base 8.\nAnswer: -112556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49360*k - 2*k**2 + 24718*k + 24709*k.\nAnswer: -2*k**2 + 67*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13021937.\nAnswer: 139, 93683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(343) + sqrt(343) + -5.\nAnswer: -5 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:18 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-18)\/(-96)*33\/(-594)*(-4)\/29\nAnswer: -1\/174","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-534)\/(-356)*16\/(-7))\/(2\/21)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*r - 16. Let u = 58 + -56. Calculate the greatest common divisor of r and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59462.\nAnswer: 2, 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 16 - 3 - (6 + 7 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = -14*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -8*n + u + 7, -n - 5*u + 22 = 0. Which is the biggest value? (a) -6 (b) n (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -605 + 605.000001077. What is b rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 16 - 8. Let z be (-444)\/10*(p + (-66)\/9). Let q = -111 + z. Are q and 37 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1036 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1195 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - l**2 - 2*l - 10. Let p(v) = 10*v**3 + 4*v**2 + 11*v + 50. Calculate 11*m(i) + 2*p(i).\nAnswer: -2*i**3 - 3*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqg when three letters picked without replacement from {g: 3, q: 4, a: 1, d: 2, c: 3, o: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 = 5930*c - 5937*c for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-21) + 0 + -1 + 5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 1, t: 3, x: 2}. Give prob of picking 1 t and 2 k.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 75?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**4\/2 - i**3\/3 - 2*i**2 - 3*i + 197. Determine t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/1764*(-18)\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 131*c - 210 - 52. Let o = -54 + 54. Solve -t + c = s, o*s + 7 = -4*t + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.232606 * 36.\nAnswer: 8.373816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1457 = 54*k + u, -2*u + 12 = -4*k - 98 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 5) in base 3?\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (69 - -34 - 106) + (-26 - -1) + -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102303112 (base 4) in base 7?\nAnswer: 440350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(4025\/(-966)*2\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/15)\/(10\/3)*(-15)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**9\/19656 - n**8\/10920 - n**7\/5460 + n**6\/2340 - 2*n**3 - 8. Let g(o) be the third derivative of r(o). Factor g(d).\nAnswer: 2*d**2*(d - 1)**2*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(1 - 2) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674 is divided by 1181?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 37 (b) -61 (c) 2\/125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 11. Let j = -2\/2773 + -2767\/8319. Which is the nearest to j? (a) -2\/9 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1632459 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g\/(g*g\/g**1*g))\/g)*g)**(14\/13)\/(g**(2\/3)\/(g*g\/(g\/(g\/(g\/((g\/g**(-3\/7))\/g))*g))*g)) assuming g is positive.\nAnswer: g**(1636\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191836460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 637.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/(-26) - 3\/5*-5. Which is the smallest value? (a) 0.2 (b) -0.2 (c) f (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 4*h**2 + 5*h + 2. Let l be u(-5). Suppose 241*t + 271*t - 104*t + 29*t = 1748. Solve 0 = 4*b - 3*x + 14, -l*b - 3*b + t*x = 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/97 - -105\/388. Put 1\/6, u, -10, -5\/6 in increasing order.\nAnswer: -10, -5\/6, 1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 30 = 0, -3*h - p - 1 = 23. Suppose -3*i = 2*i - 15, -i = 3*b - 9. Let x(c) = 5*c**2 - 5*c**b + 5*c - 5*c**2 - c**3 + 4. What is x(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = 4*i + 13, 17 = 5*a - 2*i. Let u be (-3 + a - 1)*-3. Suppose 56 = -2*x + u*x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2. Let i(j) = -j**3 - 4*j**2. Give -2*i(o) + 10*m(o).\nAnswer: -8*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - v**3 + 8*v - 6*v - 5 - 2 + 0*v**2 - 4*v**2. Calculate s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -21*v**3 + 4*v**2 + 3. Let h(j) = 11*j**3 - 2*j**2 - 1. Let i(c) = 5*h(c) + 2*p(c). Give i(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 6. Let f = q - 19. Let t = f + 21.6. What is the biggest value in -1, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 3. Let b(c) = -11*c - 8. Let t(p) = -2*b(p) - 7*u(p). Let w(v) = -7*v - 6. Let o(y) = -3*t(y) + 2*w(y). What is the derivative of o(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) 124 (d) 10\/19 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(3\/5))**45*f*f*f\/(f\/(f**(-14)\/f))*f**(2\/5))**(1\/6) assuming f is positive.\nAnswer: f**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.1, 0.2, -797.7, 1\/4, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958710\/14 + ((-4)\/(-14) - 60\/(-35)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9285 by 1.\nAnswer: 9285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 f when four letters picked without replacement from {n: 4, k: 6, f: 2, a: 3}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:09 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let u(q) be the second derivative of 7*q**3\/6 + 5*q**2\/2 + 2*q. Let k(w) = -11*w - 8. Let b(o) = 5*k(o) + 8*u(o). What is b(g(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 6 = 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12) - 6\/9)*(26 - 28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.998 + 4.998. Put u, -190, 5, -3 in ascending order.\nAnswer: -190, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 44 + 29 = 4*q, -122 = -2*h + 4*q. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/9 + 8\/6. What are the prime factors of (2\/2 - j)*-59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (7 - (-6 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/2 - 728*a**3 + 2918*a**2 - 2920*a = 0. What is a?\nAnswer: -1460, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 31. Let a be f(-26). Suppose -8 = 3*o - 4*m, 5*o = 2*o - a*m - 17. Is 10 a factor of o*(-12)\/16 - -47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -387244274 - 3?\nAnswer: -387244277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 7*s - 1. Let y be b(7). Let h be y\/15*(6 + -8). Let l = -15659 - -15667. What is the smallest value in -0.1, l, 0.3, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 3. What are the prime factors of o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14333773 and -0.1.\nAnswer: -1433377.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161 + 161 - 19*w)*(-54 + 18 + 22).\nAnswer: 266*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.1. Let p = -0.42 - y. Let b = -2102.5 - -2102. Sort p, 0, b in ascending order.\nAnswer: b, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99654766 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 1968806.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/5 + 519*c**2\/5 + 5904*c\/5 + 17388\/5 = 0. Calculate c.\nAnswer: -161, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/5 + 92*k\/5 + 1058\/5 = 0. What is k?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 - 123.988. Do -3 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*p**3 + 15794925*d**3 + 2383474*d*p**4 wrt p.\nAnswer: 6*d**3*p**2 + 9533896*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (-4)\/2 - -20?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4490162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w - 1. Let c(p) = -p**3 - 21*p**2 - 21*p - 22. Let h be c(-20). What is u(h)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 13 = 3. Let d be p - (-16 - -4)\/2. Solve -d*r - i + 0*i = -5, -i - 13 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 4, t: 5, y: 1, d: 9}. What is prob of picking 1 r and 2 d?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a - 2*a. Let w(y) = 4*y**2 + 6*y + 4. Let u(n) = -n**2 - n. Let f(t) = -5*u(t) - w(t). Let i be f(3). Solve -i*q - a*q = l, 3*q - 5*l = -28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -34*i + 32*i - 4, -i - a = -5. Solve i*u - 138 = -147 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 104.274 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 - (0 + 0 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/54744 and 81\/2098520.\nAnswer: 6295560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {f: 8, t: 4, g: 5}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13*g**(-14))\/(g**(2\/3)*g**(3\/4)) assuming g is positive.\nAnswer: g**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**5\/20 - 5*f**4\/12 + f**3\/6 - f**2 + 2*f. Is 14 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 1. Let j(g) = -5*g**3 + 2*g**2 + 4. Let u = -54 - -53. What is u*j(z) - 2*n(z)?\nAnswer: 5*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 73.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3 = -13. Suppose -3*u - b + 2*b + 13 = 0, -u = 2*b + 5. Let s = p - u. Is -2 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61220.1 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and -0.0362.\nAnswer: 0.9774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -97600, -197135, -296670?\n\"Answer: -99535*c + 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 897 - 904. Let w(k) = k**3 + 6*k**2 - 6*k + 2. Give w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s**3 + 53*s**2 + 2. Let w(m) = -159*m**3 - 846*m**2 - 33. Give 33*i(r) + 2*w(r).\nAnswer: 12*r**3 + 57*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 - 219. Suppose n*x - 3674 = 16444. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 97*u + 199. Determine c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1829107 + 3658217 + 48*y**2 + 45*y**2 + 42*y**2 - 1829110 + 2*y**3 - 135*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670733?\nAnswer: 7, 95819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v - 3*v)*(149*v**4 + 11051*v**2 - 11051*v**2).\nAnswer: 149*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 6*o**4 + 2*o**3\/3 - o**2 + 3*o + 8. Is w(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:39 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - i - 2 = 0, 5*a - 8 = -0*a + 4*i. Solve -5*w = -a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3*v + 4*v - 4*v)*(-11 + 11 - 5*v)*(-3*v**3 + 3*v**3 - v**3).\nAnswer: -15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)*(-3 + 0). Suppose -3*q = 4*c + 22, -3*q + 8*q = c - 6. Suppose d - k = -0*d + 4, -5*d - 3*k - 12 = 0. Put d, q, r in descending order.\nAnswer: r, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182 + 727\/4. Which is the third biggest value? (a) -5 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 485942855.\nAnswer: 485942854.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i + 1. Let j be m(6). Suppose 4*q = 3 + j. Let o = 29 - q. Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bob when three letters picked without replacement from {b: 4, o: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 661 = 4*o + 6*k, -3*o = k + 496. Let n = o + 168. Solve n*d - 2*a = 1, 3*a = -3*d - 1 + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, x: 2, s: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2459 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) -4 (b) 21\/5 (c) -417\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (7 + (-3 - 5)). What is the greatest common divisor of r and 496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 15*r + 1446. Let z be v(-46). What is the highest common divisor of z and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000637 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:19 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 890 = 4*z - 38*x, 5*z + x = 1114. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2332903, 2332896, 2332889?\n\"Answer: -7*z + 2332910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/10*21310\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 44*z**2 + 32*z + 3. Let h be t(-1). What is the highest common divisor of 2799 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 14*g - 1. What is b(-11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/2)\/((-21)\/(-14)) + 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 6. Let a be b(4). Suppose 4*z + 24 = -4*o, o + 5*z + 6 = a*o. Let p = 219 - 215. Sort o, p, 3.\nAnswer: o, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1, -0.5, -0.2, 4568, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)\/((-15)\/(-6)) - (-29000)\/2500.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + g + 20 = -3*g, -2*f - 7 = 5*g. What is the units digit of 1*(2 + f) + 258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -55, 2 in descending order.\nAnswer: 12, 2, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + 0 + -4 + -4 + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*y + 130*y + 124*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 1503 = -2*c. Let v = c - 332. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*(-28)\/49)\/((18\/14)\/(-1))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*h - 24. Let p = -4.9 - -6. Let j = -6.1 + p. Which is the second biggest value? (a) 0.3 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*y - 0*u - 4, 4*y - 3*u - 8 = 0. Suppose 0*t = t - y. What is the derivative of -2 + 7 - 8*c**2 + 7*c**t wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1630 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1882 divide 122573164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6230*n - 2091 = -6107*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/((sqrt(6) - sqrt(384)) + sqrt(6)))**2*3.\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 12 = j. Let h = 8 - j. What is the third derivative of 2*p**2 - p**4 + p**4 - h*p**5 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -40. Find the second derivative of 4*g**2 + 9*g - g**2 + 3*g**2 + i*g wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313 (base 5) in base 3?\nAnswer: 21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z + 4 + 111*z - 7 - 6*z. Let m be n(1). What is the greatest common factor of 64 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 p when three letters picked without replacement from ecvnepeecqvnpnvqnp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200103, -200094, -200073, -200034, -199971, -199878, -199749, -199578?\nAnswer: -199359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (-292576)\/123*(8 - 2). What is d rounded to the nearest one hundred?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/3)\/12*2\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -915 - -1100. What is the remainder when a is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 353137*f**5 - 53308*f + 25?\nAnswer: 7062740*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -167189, -333511, -499833?\n\"Answer: -166322*b - 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - p + 11 = 0, n - 13 = p. Suppose n*y = 10*y - 206. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -171, -152, -109, -30, 97, 284, 543?\n\"Answer: 2*j**3 + 5*j - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/((-2)\/6). Let r(u) = 5*u**2 - 9. Let v(o) = o - 2 - o - o**2 + 2*o**2. Calculate g*r(p) + 9*v(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 7*n**2 + 28*n + 9. What is o(-8)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*k + 231 = -534*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187548906 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:07 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -449 - -448.771. What is t rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {m: 1, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-70)\/63)\/(460\/(-552)))\/((-2)\/168).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -1 + (12 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33396672 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*w**3 - 18*w**2 - 20*w + 21*w + 19*w**2 wrt w?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -388, -8, -392.\nAnswer: -392, -388, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55.4 + 48. Let g = b - -7. Let f be (-52)\/65*5*1. What is the smallest value in f, -0.06, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + k)*(-2 + 1 + 3)*(-4 + 6 - 3).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9 + 6.9. Sort t, 0.4, 0.\nAnswer: 0, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvvjvjmvv. Give prob of picking 1 m, 1 j, and 2 v.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - (-18 + 14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**3 - 3*z**2 + 3*z**2 - 8*z**3 - 4*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {n: 2, k: 3, h: 1, v: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6586173, -6586174, -6586175, -6586176, -6586177, -6586178?\nAnswer: -6586179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4730\/(-22)*(-1)\/3*606\/505\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/207228 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 34*n**2 - 840*n + 130. What is g(25)?\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -1, 5, -3, 1.96 in increasing order.\nAnswer: -3, -1, -0.6, 1.96, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7829?\nAnswer: 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 767 = 93. Suppose -13*t - p = -18*t. Calculate the remainder when t is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047230469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 36 = 5*d, 0 = -3*d + 31455*w - 31458*w + 27 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9872*q**5 - 270*q**4 + 31*q**2 + 130509 wrt q.\nAnswer: -592320*q**2 - 6480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 295*-3*(-38)\/570\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/96*-3)\/(6\/(-12))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5872062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000077745615 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41302 and 0.04?\nAnswer: -1652.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4975*v**2 - 14920*v**2 + 4976*v**2 + 4975*v**2 + 3. Give s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/120 - j**5\/20 + j**4\/12 + j**3\/2 + 3*j**2. Let k be x(-3). Let q be -2 + 2 + (-9)\/k. Solve -5*o = -2 - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24899 + -13100. Is j a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1306*m = -21741 - 25275 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 0*f**4 + 274 + 0*f**5 - 303\/7*f**7 + 0*f**2 - 1\/3*f**3 + 89*f + 0*f**6. Find the third derivative of n(k) wrt k.\nAnswer: -36360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(2) + 3 - ((-2*sqrt(56) + sqrt(56))\/sqrt(7))\/sqrt(4)) + 3*(sqrt(4)\/sqrt(2) + -3 + (sqrt(2) - sqrt(20)\/(sqrt(10) - sqrt(10)*-2))))**2.\nAnswer: -132*sqrt(2) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -88*o**3 - 18*o**5 + 43*o**4 + 9*o**4 + 54*o**5 - 22*o**5 - 18*o**5 = 0.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 427743 and -0.132.\nAnswer: 427742.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (1 - 10) + 1290 + 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/(2 + (-16)\/6). Let q be ((-16)\/12)\/(4\/6). Sort o, -5, q in descending order.\nAnswer: o, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-70 - (-86 + 99))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*33\/55*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -n + 45. Let p = n - -42. Solve p = -5*q, 3*q = -3*f - 0*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltw when three letters picked without replacement from ectwwlwwwcdlwdwwwwww?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -53*p - 17. Let h(d) = 9*d + 3. Let x(u) = -34*h(u) - 6*i(u). Let l(r) = 11*r**2. Give x(l(k)).\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, l: 3, s: 2, g: 5}. Give prob of picking 1 g, 1 l, and 2 s.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o + 7*o + o**3 + 2*o**3 - o**3 - 6*o**2 = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 160.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -374 + 49. Let r = h + 325.0839. What is r rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y. Let j(i) = 70*i. Calculate j(z(n)).\nAnswer: -490*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10633, 42618, 95929, 170566, 266529?\nAnswer: 383818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36783*h = 36755*h - 168 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4409828 at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -19, 121, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-924)\/(-242) + (-5 - (-2 + 1)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 212221 (base 3) to base 16\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d (base 16) in base 11?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*d - 732 = -254*d + 517*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 168350 to the nearest one thousand.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*9208.278\nAnswer: -1197.07614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*u**3 - 62*u**2 - 1381*u + 12490985?\nAnswer: 72*u**2 - 124*u - 1381","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1435 (b) -0.6 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 - 70 = -4*m. Let x = m - 53. Which is the smallest value? (a) x (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5576 = 4*x + m, 4*x - 2*m - 5560 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1484 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 5559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*k - 160, 5*k - 5 - 20 = 0. Solve -3*d + 5*i - 8 = 0, -2*d + 2*i - q = -7*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*t - 9, 5*t - 60 + 96 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8285 = -69*w + 64*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 4*j**2 + 2*j + 1. Let f be i(4). Let n = -35 - f. Suppose u - n = -u. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 15. What is the highest common factor of 81 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13576 - -19036. Suppose -3*l - j = -15*l. Calculate the highest common divisor of 105 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106617876\/7 or 15231126?\nAnswer: 106617876\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2\/4 + 30*g - 300 = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119020049 greater than or equal to 1119020050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 1025*k**2 - 20*k + 4100.\nAnswer: 5*(k - 205)*(k - 2)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21359*d*x - 61085*d wrt x?\nAnswer: 21359*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0. Let m = 19 - 56\/3. Let b = -5.5 - -6. Sort c, m, b.\nAnswer: c, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, e: 1}. Give prob of picking 1 e and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**5 - 1675*j**4 + 42300*j**3 - 278900*j**2 + 402080*j = 0.\nAnswer: -359, 0, 2, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*t - 108344961*t**4 - 16*t**2 - 4*t**3 + 108344963*t**4 - 42*t to l + n*t**2 + g*t**4 + d*t + a*t**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 178, 268, 372, 496, 646, 828, 1048, 1312?\n\"Answer: h**3 + h**2 + 80*h + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 3, g: 1, u: 2, f: 5, q: 1}. Give prob of picking 1 u and 1 g.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 17*p - 19*p. Suppose -3*c - 2*v - 32 = 0, -5*c - 5*v - p = 1. Let d(u) = -u - 14. Determine d(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57697*f - 259*f**2 + 792*f**2 - 4 - 267*f**2 - 267*f**2.\nAnswer: -f**2 + 57697*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 12:56 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 - 95*f**2 + 45*f + 498. Give u(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8*i - 4920. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2232085 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 34 = -744. Let k = i - 9. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = -0. Let s be -2*(-4)\/8 - d. Suppose 92 = -h + 4*h - 5*j, 132 = s*h - 3*j. Solve 0 = -4*o + 4*f + 12, -5*o + h = f + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3715325943?\nAnswer: 3, 7, 176920283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003225601221 to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:12 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d = 0. Solve -b + 2*n - 5*n = d, 2*n = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -23*s**4 - s**3 + 157*s**2. Let i(w) = 47*w**4 + 3*w**3 - 315*w**2. Let k(p) = -2*i(p) - 5*y(p). What is the third derivative of k(z) wrt z?\nAnswer: 504*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**3 + 2*l**2 - 1. Let f be q(1). Let c = f + 10. Suppose u + c + 2 = 3*v, 0 = 2*u + v - 9. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*y - 380, -30 = -5*y - 5*d + 350. Let j be 1174\/4 - (-1)\/2. Let p = j - y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -60. Suppose 2*l + z - 2*z = 15, -l + 5*z + o = 0. Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)*8\/16. Which is the third biggest value? (a) 3 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 67 = -3*m - 17, -29 = -2*m + u. Let a be (-2 + 8)\/(m\/10). Suppose 4*c + 3*j - 119 = -c, a*c - 85 = j. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68060 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -26\/9, 4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by -30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.364387 and -2.\nAnswer: -0.728774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwceppw. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 852991622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -24*k**2 + 1\/2*k**5 + 4*k + 1\/12*k**4 + 0*k**3 + 1. Find the third derivative of o(r) wrt r.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 48475*f\/4 - 3744751.\nAnswer: -(f - 48164)*(f - 311)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 + 334 - 3104*g + 1555*g + 1553*g - 349.\nAnswer: 7*g**3 + 4*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i + 25. Suppose -i*d + 19*d = -18. Solve 0 = w - d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, r: 2, m: 3}. What is prob of picking 3 y?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148.3 - -144. Which is smaller: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 24, 121, 324, 669, 1192, 1929?\n\"Answer: 6*t**3 - t**2 - 12*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 5*o + 3. Let c be y(5). Solve 11 - c = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/26, 2, -0.4, -0.3, 25\/2, 5\/7 in decreasing order.\nAnswer: 25\/2, 2, 5\/7, 3\/26, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2378 + 827?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2. Let t(k) = 4*k**2 + 7*k - 30. Let o be t(5). Let p(g) = -55*g - 59*g + 2 + 369*g + 178*g + o*g. Give p(b(j)).\nAnswer: -538*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4458 and 26592.\nAnswer: 19757856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*-2 + sqrt(120))*5)\/(sqrt(5) + -5*sqrt(80)))\/(sqrt(1452) + 1*-1*sqrt(1452) - 6*-2*sqrt(1452)).\nAnswer: 5*sqrt(2)\/2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**4\/6 - 5*u**3\/3 + u. Let y(o) = -181*o + 58. Let g(n) = 25*n - 8. Let s(d) = 29*g(d) + 4*y(d). What is s(x(b))?\nAnswer: -2*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 100. What is k(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114*z**2 + 65*z**2 + 9*z**2)*(2*z + z - 4*z)*(-2*z - 8*z - 10 + 9*z) to m*z**3 + t*z**4 + x*z**2 + y*z + l and give m.\nAnswer: 1880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 14. Determine w(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 54*v + 165. Calculate x(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1681*r + 578527 - 578527 to j + s*r and give s.\nAnswer: 1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaaoaayaayyayy. Give prob of picking 1 a, 1 o, and 1 y.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/27 and -29\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 - g**3 + 13*g**3.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16221985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*0\/(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(196) + sqrt(196))\/sqrt(7) + sqrt(28)*-1*-5 + (sqrt(252) + -1)*-5 + 1)**2.\nAnswer: -168*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2. Let u(q) = -26*q**2 - 8*q. Let j be 8\/(2*3\/6). Let i(s) = 9*s**2 + 3*s. Let n(r) = j*i(r) + 3*u(r). Determine t(n(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, s: 3, r: 2, w: 2}. What is prob of sequence www?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**7\/4410 + s**6\/630 + s**4\/12 + s**2. Let w(f) be the second derivative of i(f). Find t such that w(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19b4b5 - 6?\nAnswer: -19b4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttpu when four letters picked without replacement from uwtuuuguwpuwtuww?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 10, g: 5, v: 4}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqqklllh. What is prob of sequence kl?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/9)*r**(4\/17)\/r*(r\/(r*r**(-4)\/r*r))**14 assuming r is positive.\nAnswer: r**(8383\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/5 + 5*j**4\/12 + 5*j**2\/2 - 6*j. What is the first derivative of l(h) wrt h?\nAnswer: 12*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31501, 63006, 94511?\nAnswer: 126016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232 + -230. Sort 10, -0.7, 5, z in ascending order.\nAnswer: -0.7, z, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/70 and 11\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 1. Let j(f) = -4. Suppose -8 = -29*s + 27*s. Suppose 4*c = c + s*g - 16, 0 = g - 1. Give c*y(x) + j(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-6)*(-3 + (-33)\/(-14)). Sort i, -0.07, -4 in increasing order.\nAnswer: -4, i, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 3*q - 2. Let o(u) = 539*u**3 + 2*u**2 - 9*u - 6. Calculate 2*o(w) - 6*y(w).\nAnswer: 1078*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*i - 5 - 7 = 0, -3*q - 12 = -3*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 5181.\nAnswer: 5178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/73388 and -79\/2248818.\nAnswer: 31483452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6007 - -8784. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 39 = 3*y, 44 = 5*y - 2*h - 35. Calculate the highest common factor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 41 + (-5 + 1 - 8 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-4 - (-8 - (-5 - -6) - (-6 + 0)))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 1\/6, 4, 0.056, -3 in decreasing order.\nAnswer: 4, 1\/6, 0.056, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 1358 - 1561. Suppose 5 = -3*q + 14. Suppose h + f - 2*f - 10 = 0, -q*f + 26 = 4*h. What is the remainder when w is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761709706 to the power of 1\/3, to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4826.35 to the nearest 10.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g**2 - 5235*g - 4890. Calculate s(-373).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/120 - r**5\/30 - r**4\/8 - 5*r**3\/6 + r**2. Suppose 32 = -4*n + 12*n. What is the units digit of o(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536127 divided by 6?\nAnswer: 2536127\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007677379794 rounded to 7 decimal places?\nAnswer: 0.0000768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -8.83 and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*c = 597*c - 198 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -9*f + 112. What is the common denominator of (-65)\/(19\/(-5) - 9\/f) and -125\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294.845 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2732, -2734, -2736, -2738, -2740, -2742?\nAnswer: -2744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -297, -564, -837, -1116, -1401, -1692?\n\"Answer: -3*o**2 - 258*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 99\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 23. Let s = 4 - u. What is the highest common divisor of s and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5 - (-14)\/10)\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38290 - -38828.42. What is j rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1*2\/(-18)). Let r(k) = -5*k**2 - 9*k. Let n(j) = -j**2 - 2*j. Let h(t) = g*n(t) - 2*r(t). Let z(q) = 14*q. Determine z(h(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppeppfhcaeeepche.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.1, 0.03, -2.48952?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d + 10*d - 7 + 11*d.\nAnswer: 5*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2351, -10191, -23497, -42269?\n\"Answer: -2733*z**2 + 359*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**2\/2 + u + 1. Let w(b) = -b + 1. What is -3*m(i) + 4*w(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2 (c) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*3 + sqrt(77))\/sqrt(11))**2 + 1*(sqrt(7) + 0).\nAnswer: sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 679.\nAnswer: -4\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 9*v**2 + v + 2. Determine w(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5709582236 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -z - 205. Let q(r) = -r**3 - 30*r**2 + 31*r + 14. Let f be q(z). Suppose -3*w = 5*u - 17, -2*w = u + 4*u - 13. Solve 2 = -w*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + z + 3*z = 19, 4*y - 5*z = 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**3*j + 26929*c**2*j + c + 19*j + 1669 wrt c?\nAnswer: 9*c**2*j + 53858*c*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -174, -200, -226, -252, -278, -304?\n\"Answer: -26*k - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 24*r + 259. Let a be x(-11). Put a, -2, 1 in ascending order.\nAnswer: a, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - n + 9 = 0, 3 = -4*j + n + 39. Let z = 11 - j. Let v(g) = g**3 + 4*g**2 - 7 + 2 - 4*g**2 + 5*g**z + g. Give v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1378?\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n**3)*((0 - 4 - 2)*(-3 + 1 + 0) + 4 - 5 - 1)*(n + 0*n + 0*n).\nAnswer: -10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - 4aa34?\nAnswer: -4a994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 + 69*y**2 - 79*y + 1018. Give d(17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402417906?\nAnswer: 2, 3, 11, 6097241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 12. Let r be i(-7). Suppose -5 = 27*q - 28*q, 105 = -3*v - 3*q. What is the units digit of ((-4)\/v*52)\/(3\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654*k - 28636 = -2172 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 204550034*f - 6*f**3 + 7*f**2 + 3*f**4 - 204550034*f to z*f + u + i*f**3 + j*f**4 + k*f**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 5, b: 4}. Give prob of picking 1 d and 3 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*-5)\/(2*2*sqrt(12)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqqaqqaqqqafaqa. What is prob of sequence ffq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 1 - (-55 - 8). What is the units digit of (0 + 1)\/(2\/r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000110100111010011 (base 2) in base 7?\nAnswer: -16412410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19612 divided by -53989?\nAnswer: -19612\/53989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*d + 15493 - 11*d - 15495 to the form k + z*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 280, 616, 1096, 1726, 2512?\nAnswer: 3460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -111184*w + 55591*w + 55591*w. Let v(f) = -4*f - 26. What is q(v(c))?\nAnswer: 8*c + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 170 + 8\/2. Let r = v - 100. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {m: 8, v: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 199*z - 7241. Calculate h(124).\nAnswer: 2059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 - 5*z**3 + 10*z**3.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 50 = 5*z, -4*z + 33 = 11*i - 14*i. Solve 0 = 4*r + 2*p - z, 0 = 6*p - 2*p - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/23 (b) 3\/14 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15486 = 2*z + 4*d - 93868, 156755 = 4*z - d. Suppose 46*p = 3*c + 51*p - 39189, 4*p + z = 3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 43407?\nAnswer: -3906.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5287206 centuries?\nAnswer: 5.287206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-6)*(2465\/20 + -4). Suppose -13*w + 1106 + q = 0. List the prime factors of w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 105 = j. Sort -2, j, -1.\nAnswer: j, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-17)\/l**(-1\/24) assuming l is positive.\nAnswer: l**(-407\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 41*t**2 + 90*t. Let i(m) = -62*m**2 - 124*m. Give 5*i(p) + 7*o(p).\nAnswer: -23*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.996 and 2.\nAnswer: -1.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18 - 40\/30*-13. What is the smallest value in 5, -0.5, 0.5, t, -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjnn. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a1982 (base 12) to base 4.\nAnswer: 130111020302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/1215)\/((-36)\/(-27)))\/(2\/(-6))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -v + 4*v, 4*v - 12 = 0. Let j = -3.9 + 4. What is the closest to j in 0.5, 5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 68*s + 286. Let x(j) = -2*j**2. Determine i(x(f)).\nAnswer: -136*f**2 + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/280 - 17*n**5\/35 - 65*n**4\/56 + 67*n**3\/7 - 4178*n**2 + 2. Factor g(r).\nAnswer: -3*(r - 1)*(r + 2)*(r + 67)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.98 rounded to 1 decimal place?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l + 2*l - 11*l + 36 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 918645 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059256 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2321 is divided by 462.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 2. Suppose g + 48 = -5*g. Determine j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 2 - (-207 + 200). Which is the closest to 0? (a) 2\/9 (b) 30 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 199*u + 276*u - 6.\nAnswer: 77*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32181814.9999828 - 32181858. Let u = 43 + p. What is u rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55102 + 5?\nAnswer: -55053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/45*-9)\/(-2 - -1). Let l(b) = -12*b + 3. Calculate l(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -575*(-4 + 3 + 0). Let o = -395 + f. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 12) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4 = 3*d - 5, 2*t - 3 = -d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*i**4*u**2 + 53*i**4 + 2785*u**2 wrt i?\nAnswer: 56*i**3*u**2 + 212*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (16 - -4)) + 3 + -2 - -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330955 is divided by 666?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -21*c + 8*c**3 - 52*c**2 + 19*c + 12*c**3 + 26*c = 0?\nAnswer: 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -100010100011000100?\nAnswer: 100010100010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1712 and 34454.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 + 518647.\nAnswer: 518621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 0*k)*(-3*k + 6*k + 6*k**2 - 4*k**2) + (k**2 + 3*k**2 - 3*k**2)*(-2*k - k + k).\nAnswer: -6*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/(x**(2\/23)*x))**(-44)\/((x*x**(-10)*x)\/(x**16*x)) assuming x is positive.\nAnswer: x**(-2373\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 2, 2, 10, 32?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113655200 by 568276.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 13*t**2 + 1472*t - 8791. Calculate p(-119).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 115*l - 5055. Give y(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/94860 or 0.132?\nAnswer: -1\/94860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -cbd5 (base 14) to base 6\nAnswer: -431143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*x - 19, 0 = t + 4*t + 5*x + 10. Let g(k) = -k**2 + 3*k - 2. Let z(a) = -a**2 + 15*a - 23. Let n be z(13). Let u be g(n). Sort -5, t, 4, u.\nAnswer: -5, u, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (0 - 3) + 13 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1524037\/56 + 27214. What is the common denominator of w and -29\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 375108*g + 143118640.\nAnswer: -4*(g - 380)*(g + 94157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -433*u + 4022*u - 43068 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ca58 + -2?\nAnswer: ca56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 15. Let c be b\/(-2*(-4)\/16). Is 8 a factor of -1 - (c - (-2 + 5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**8\/140 - o**6\/36 - 13*o**3\/3 + 13. Let w(q) be the third derivative of n(q). Find the third derivative of w(p) wrt p.\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6373087 by -1151.\nAnswer: 5537","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -606 divided by 1067?\nAnswer: -606\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714\/(-833) - ((-11628)\/224)\/19.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5324690 and 67940.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.763793466 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 7*v**2 + 7*v + 4. Is g(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/5 + 24374*c**2 = 0. What is c?\nAnswer: 0, 60935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77302 and 22.\nAnswer: 850322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:19 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -11*r + 65 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114130 or 114129?\nAnswer: 114130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**3 - v**2 + 2*v - 2. Let q be r(1). Suppose u - 25 = k, u - q*u = 3*k - 93. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 78*v + 87. Calculate the smallest common multiple of (36\/(-15))\/((-6)\/75) and a(-38).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 43*n - 169. Let s be x(4). Let f(u) = s*u + 535*u**2 + u**3 - 208 - 530*u**2 + 204. What is f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -7\/5, 2\/13, -120?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t + 65. Let v = -154 - -268. Let q = v + t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*p = 125*p + 60. Let c(s) be the first derivative of -2*s**3\/3 + 3*s**2\/2 - 4*s + 1. Let v(k) = 2*k**2 - 4*k + 5. What is p*c(g) - 4*v(g)?\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4099, -4290, -4481?\n\"Answer: -191*f - 3908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s - 27572 + 27572. Let k(o) = 7*o. Calculate g(k(w)).\nAnswer: -119*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000536567 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -81*r**2 + 49*r + 13. Let y(h) = 46*h**2 - 24*h - 7. What is 4*u(p) + 7*y(p)?\nAnswer: -2*p**2 + 28*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1314, -2599, -3852, -5073, -6262?\nAnswer: -7419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170) - 2*sqrt(170)) + (1*(sqrt(170) - -3*sqrt(170)) - sqrt(170)))\/((sqrt(320)\/sqrt(8))\/sqrt(4) + sqrt(90)*-3 + sqrt(90)).\nAnswer: -7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-18 + -9 - -12) + -13 + -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15089.004 days?\nAnswer: 2155.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a - 43*a - 120. Let g(o) = o**3 + 8*o**2 + o - 31. Suppose 252 = 5*m - 243. Calculate the remainder when m is divided by g(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1524, 6159, 13892, 24729, 38676, 55739, 75924?\nAnswer: 99237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p\/p**(-3\/2))))\/p*p*p**2\/p)\/((p*p**(-2\/17))\/(p**0*p)) assuming p is positive.\nAnswer: p**(157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4862.669 millennia in decades?\nAnswer: 486266.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -15. Let u = 437779 - 437776. Solve 6*a = u*a - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 + 359 = 8*g. Suppose 0 = 5*o + g - 82. Is ((-379)\/(-2 - o))\/(-7 + 8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 16169 + 16169.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9)\/r*r**27*(r**(8\/7))**(4\/3))**(-1\/22) assuming r is positive.\nAnswer: r**(-205\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b - 4*b)*(-2 - 1 + 2) + 36*b + 10*b + 20*b + (-39 + 9 + 13)*(3 + 1 - 5)*(5 + 4*b - 5).\nAnswer: 136*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130223999.\nAnswer: 23, 89, 63617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 68815834.\nAnswer: 275263336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6124 by 142.\nAnswer: 3062\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2 - 15350*l - 122922. Calculate i(-8).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1901*u + 58847. Determine q(31).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Let r(v) be the third derivative of -5*v**4\/24 - 6*v**2. Determine y(r(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + g - 21. Suppose 45 = 4*i - 3*a, g*i + 4*a = 7*a + 30. Let -10*l + i*l + l**2 - 15*l + 25 = 0. What is l?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/31 + -191\/682. Let m = -89\/110 - q. Which is the closest to 1? (a) 2\/21 (b) m (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w = 31*w + 650. Suppose 3*i - 93 = -3*o, 3*o = 22*i - w*i + 96. What is the remainder when 165 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 272*i**2 - 790*i + 1064.\nAnswer: -2*(i - 1)*(i + 4)*(i + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6655 + -6655. Let p be (-4)\/(-3)*(-6)\/(-4). Solve p*w + 9 + 1 = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/90 + u**4\/18 - 2*u**3\/27 + 35*u. Determine g so that n(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1647, -1, -2, 138, 6, -4, 0 in descending order.\nAnswer: 1647, 138, 6, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/336 and 61\/11367.\nAnswer: 1273104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3.82 times 15178\nAnswer: 57979.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and 0.42485.\nAnswer: -0.01741885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3 - 2 - -596*27\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1092.776 litres?\nAnswer: 1092776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-110) + 124\/341.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1912001898?\nAnswer: 2, 3, 8573, 37171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14259 (base 12) in base 15?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5705546 (base 10) to base 16.\nAnswer: 570f4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 5*y + y**2 + 2*y**2 - 3*y**2 as s*y + j*y**2 + q and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-84)\/20)\/(12\/(-40)). Let l(q) = -q + 1. Let h be l(o). Is 10 a factor of h\/18 - (-1621)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.9909 rounded to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3271 + 62458?\nAnswer: 59187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 90 = 28. Let j = b - -33. Determine t so that -3\/4*t**j - 3\/2*t + 3\/4*t**3 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.427617 centuries in years?\nAnswer: 942.7617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -3, 1, -13, -51?\n\"Answer: -n**3 + 23*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 14. Let n(x) = -x - 5. Let v(r) = 17*n(r) + 6*w(r). Let o be v(-4). Which is the third biggest value? (a) -1 (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -15. Let k(m) = m**2 + 7*m + 7. Let w be k(-5). Let n(g) = -g**2 + g. Let d be n(-1). Sort w, c, d.\nAnswer: w, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c11b (base 14) to base 4.\nAnswer: 1103013331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-98)\/7*3*(-42)\/(-49)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/4, 15, 0.0049, 1\/6?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 6*j - 5. Suppose 0 = 3*a - 22 + 1. Let u be f(a). Suppose 0 = y - u*y + 1. Let m(s) = -2*s**3 - 1. Determine m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568371887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y - 1. Suppose -t - 55 - 51 = 0. Let w = t + 108. Calculate k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 - 3*y + 3*y + 25*y**3 - 24*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let c(k) = -k**3 + 5*k**2 + 1. Let a be c(5). Let s(z) = -z - 2 + 1 + a. Give s(p(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(512) - (sqrt(512) + 2))**2*-5 + -1 + (sqrt(96) + sqrt(96)*2)\/sqrt(12)).\nAnswer: -18 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 95396*i + 9899552.\nAnswer: 2*(i + 104)*(i + 47594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142287642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -59 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + 26.84. Let w = o - 27.4. Which is the third biggest value? (a) -0.3 (b) w (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 344092*a*r*x*z**3 - 2*a*r*z + 65*a*x*z**3 + 48*a*z**2 + r*z**3 - 1653*x with respect to r.\nAnswer: 344092*a*x*z**3 - 2*a*z + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*r**3 - 5552*r**2 - 2770*r - 346.\nAnswer: -2*(r + 173)*(4*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1189958364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 = -0*v. Suppose -5*b - 85 = -4*a, v*a - 4*b = -3*a + 113. Let i be ((-8)\/3)\/((-1080)\/1215). Solve -i*k + g = k - 15, a = 2*k + 3*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17531132 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14\/9 (b) -6\/5 (c) 11 (d) -117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131211303 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 797541726 smaller than 797541726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -251.999938 - -252. Round a to six dps.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 5) in base 16?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:25 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 2 - (580\/(-70) + 1). Which is the closest to k? (a) -4 (b) -0.2 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-63) - 8\/36. Suppose 4*q - 7*q = 4*p + 29, -3*q + 11 = -4*p. Suppose -2 = -5*c + 8. Sort q, c, a in decreasing order.\nAnswer: c, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1\/197 (c) -5 (d) 3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 408102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-8))\/((-4)\/(-16)). Suppose -b*m = -q + 7479783 + 10520222, -2*m - 5*q - 11999975 = 0. What is m rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10*m = -651. Let i = m + 306. List the prime factors of i.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-2 - 402\/(-192)) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -365 + 353. Let y(q) = -3*q - 27. Calculate y(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose s = d - 5, 0 = -3*j + 4*d + 275 - 106. Suppose -h + 0*h = j. Round h to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*c - 5 = -10*c, -3519*c + 3517*c = 6*y - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -158063?\nAnswer: -1\/158063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - -6 - (56 + -115 + 50)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(847))*1 + -5 + sqrt(84)\/sqrt(12))**2 - (sqrt(21)\/(sqrt(15)\/sqrt(5)) - (sqrt(7) + (sqrt(77)*2)\/sqrt(11)))**2*-1.\nAnswer: -130*sqrt(7) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 130 = 5*s, -278*a - 16 = -280*a - 4*s. Solve 3*o = -5*f - 22, a = -4*o + 9*o - 3*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, u: 2, h: 7, z: 3, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/15 - (-7)\/(-21). Which is the closest to -1? (a) 0.5 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1068 * -0.3\nAnswer: 320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 - 193. Suppose 249 + 389 = o*q. What is the remainder when 229 is divided by q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = 2*i, 4*i = l - 1 + 18. Let m(y) = y**2 - 3*y - 1. Let d be m(4). What is the derivative of i - 6*u**3 - 4*u**3 - 15*u**d wrt u?\nAnswer: -75*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (82 + -83)\/(0\/2 + -9 - -4). What is the second biggest value in -4, 2\/281, n, -3?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225813 divided by 7?\nAnswer: 32259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-1)\/2*0. Let s(r) = -2051*r**2 + 3*r - 5. Let v(j) = 6153*j**2 - 8*j + 14. Let b(g) = q*v(g) + 8*s(g). Is b(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -2577*b**8\/56 - 243*b**4\/4 - 4*b + 184. What is the third derivative of z(h) wrt h?\nAnswer: -309240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/152 and 53\/5?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0 + 0)*(-x - 2 + 2)*(6*x + 13*x - x)*((-x**2 - 3 + 3)*(3 - 1 + 0) - 4*x**2 - 2*x**2 + 4*x**2 + 2*x**2 + 2 - 2).\nAnswer: 72*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(1\/9)*b*b*b*b*b\/(b**(-6\/5)\/b)*b**(-9)*b)**(-15) assuming b is positive.\nAnswer: b**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + 6.217\nAnswer: 6.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 4*l. Let x(m) = -m**5 + m. Let j(a) = -4*x(a) + z(a). Find the third derivative of j(r) wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 20. Let r = 14 - o. Let b(y) = 2*y + 23*y - 23*y - y. Determine b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 - 1694\/4)\/(0 - 30\/1120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 1\/630*i**7 + 13\/360*i**6 + 0*i + 23\/180*i**5 + 11\/72*i**4 - 47 + 0*i**3 - 2*i**2. Suppose u(w) = 0. Calculate w.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 97*k**3 - k**2 - k + 1. Does 28 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h**2 + 131*h + 228. Calculate a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = 3*c, -14 = 2*c + 2*j - 12. Let h(g) = -14*g**2 - 17*g - 15. Let o(i) = -5*i**2 - 6*i - 5. Let s(p) = -4*h(p) + 11*o(p). What is s(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -566 - -504. Calculate the remainder when q*((-6)\/(-6))\/(6\/(-33)) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -108, -165, -204, -219, -204, -153?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/18)\/(4\/(-6)). Suppose d*z + 15 - 40 = -5*f, 4*f - 5*z + 7 = 0. Factor 3*v**2 - 7*v**f - 13 + 15 + 2*v**4.\nAnswer: 2*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94950865.7 rounded to the nearest ten thousand?\nAnswer: -94950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(352\/220*5\/4). Solve 4*t = 3 - h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37354.65 months?\nAnswer: 3112.8875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327474856 to the power of 1\/2, to the nearest integer?\nAnswer: 18096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 4, x: 7, n: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8220 divided by 685?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 33406809.\nAnswer: 33406807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 1\/8, -3, -62\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 1096, 2467, 4386?\nAnswer: 6853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 24. Let r(m) = -m**2 - 10*m + 3. Let j be r(t). Let x = -4\/7 - -62\/35. Which is the nearest to 1? (a) j (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/2*1696\/48.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*j**4 - 110*j**2 + 507*j - 3171281?\nAnswer: -48*j**3 - 220*j + 507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -5 - (2 - -2). Let j(p) = -2*p**2 - 13*p**3 + 22*p**3 + o + 4*p**2 - 1. Determine j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/6 + 2*x**3\/3 + 3*x**2 + 5*x - 67. What is m(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 + 16*g**2\/3 + 232*g\/9 + 32.\nAnswer: 2*(g + 2)*(g + 4)*(g + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjjzczjcccj. What is prob of picking 2 c and 2 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 3*g + 7*g + b + 74, -5*g = 40*b - 92 - 413 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, k: 2, y: 1, e: 2}. Give prob of sequence nk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4 - 17) + (-4 - (-6570)\/387))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -22. Suppose -x + 11 = 5*k - k, -3*x + z = -k. Suppose -k*u - 14 = -3*r, -5*u - 7 = 3*r + 7. Solve r*d = 2*c, 4*d + 4 = 5*c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 32 = 8*c - 3*c, -5*c + f = -17. Is ((-126)\/c)\/((-3)\/6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let y be s(3). Let l = -0.41 - 0.59. What is the third smallest value in l, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 866.908 - 867.014. Let h be (2\/(-4))\/((-6)\/8). What is the biggest value in h, 2\/11, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/21762433 and 25\/12582.\nAnswer: 1175171382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**3 - 60*o**2 - 541*o - 2080. Calculate b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 n when four letters picked without replacement from {h: 2, d: 14, e: 1, n: 2}?\nAnswer: 91\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*h + 19. Let n(t) = 3 + 16*t + t**3 + 5*t - 2*t**2 - 5*t**2 - 14*t - 1. Give n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7204758416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/1924470 and -41\/5752027?\nAnswer: 517682430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099589487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 6) to base 7.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1419 - -0.1419. Which is the closest to 2\/43? (a) d (b) 4\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 3. Suppose 2*n + h - 12 = -a*h, -h + 4 = n. What is the third derivative of -2*y**n - y**2 - 2*y**4 - y**2 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210 - 27. Suppose -4*g + 141 + c = 0. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.3. Let w = 1.3 + f. What is the third smallest value in 0.3, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/4 - 2*d**3 - 2*d**2 + 8*d - 99. Let t be ((-25)\/(-10))\/5*2. Let f be (-9)\/3 + t + 8. Calculate r(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ldddlllldldlll?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2683*m**2 + 20819*m**2 + 148*m**2.\nAnswer: 23650*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(272)*1 + 4 + -5 - (-3 + (-1 + sqrt(153))*3 + -4*(0 + sqrt(153))))**2.\nAnswer: 140*sqrt(17) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -10*m - 2. Solve -3*b + m + 10 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t*w**2 - 16*t*w + 54*t + 99299*w**2 with respect to t.\nAnswer: -w**2 - 16*w + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 + 293. Suppose w = -0*f - 3*f + 91, 3*f - p = -2*w. Suppose z - 4*y = 37, 0 = z - y + 1 - f. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -47, -61, -75?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8956, -17997, -27040, -36085, -45132, -54181?\n\"Answer: -a**2 - 9038*a + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50707089.\nAnswer: 3, 509, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 9, o: 9}. Give prob of picking 2 s, 1 o, and 1 d.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + t**2 - 1151*t**4 - t**2 + 3*t**2 + 1153*t**4 to the form c + a*t**3 + p*t**4 + k*t**2 + n*t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -acb (base 14) to base 12\nAnswer: -12a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10. Suppose -4*x + y + 2 = -o*y, -4*y = -x + 8. Suppose -5*w + 6 = -f + 4*f, 5*f + 15 = x. Solve 0 = w*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - 30\/(-8). Suppose 3*j = j + y. Suppose j*b - 4 = -2*a, 30 = 5*b + 3*a - 2*a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24289743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -8. Let m be n\/9 - 26\/(-10). Let l = -70 + 139\/2. Put m, l, 2\/7 in decreasing order.\nAnswer: 2\/7, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x, -z + x + 19 = 5*x. Let t be 2\/1*79\/2. Suppose 5*o - t = z. Calculate the greatest common divisor of 176 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1202, -1\/47, -0.03, -1\/6.\nAnswer: -1\/6, -0.03, -1\/47, 1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 43. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:11 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**6\/120 + a**5\/10 + a**4\/8 + a**3\/3 - 9*a**2\/2 + 3*a. Let z(y) be the first derivative of k(y). Is 7 a factor of z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.696805 + 2.68. What is y rounded to four dps?\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9872*r - 7404. Let x(y) = -5*y - 3. What is s(w) - 2468*x(w)?\nAnswer: 2468*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n - 39. Let j(y) = -y**3 + 100*y**2 - 565*y - 4. Let g be j(6). Give z(g).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 25 = 0. Let p(o) be the first derivative of o**3\/3 - 5*o**2\/2 + 1052. Let j be p(d). Solve 5*r - 4*h + 35 = 0, 5*r + 4*h - 1 - 4 = j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-17 - -5) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6254 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1808 * -0.08\nAnswer: -144.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o**3 + 4*o**3 + 77*o + 26*o**2 + 4*o**3 + 0*o**3 - 11*o wrt o?\nAnswer: -6*o + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27249, -54718, -82423, -110376, -138589?\nAnswer: -167074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 129, 134, 139, 144, 149?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 18018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1*58*(-2)\/(-8))\/((-678)\/1356)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 115\/11, -155105, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*z - 325. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 + 739*c - 22283. Calculate n(32).\nAnswer: -4779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(4\/7)*z*z**(1\/5)*z**(1\/13)*z*z**(4\/5))\/((z\/(z\/((z\/(z**4*z))\/z)))**(-1\/44))**8 assuming z is positive.\nAnswer: z**(3600\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 14*v**2 - 2. Let u be (-152)\/(-11) - (-24)\/132. Let j be z(u). What is the units digit of (53 - 2 - j)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1119631251*j**4 - 30*j**2 - 22*j - 149625.\nAnswer: 26871150024*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-6 - 78\/(-2))\/((-3)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 21*k = 3*v, 0 = -3*k - v - 2*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((120\/55)\/2)\/(1801\/178299)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 17. Let y(f) = 8*f + 152. Let k(h) = 9*r(h) + y(h). Let s(l) = -5 - 3*l + 2*l - 2*l. Calculate -6*k(v) + s(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1193 from 0.399.\nAnswer: -1192.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/10912*341 - (-10)\/(-16)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 - -214. Let g = a + 14. Solve g*k = 5*s + 2*k - 15, k + 3 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 h when three letters picked without replacement from xhxxzhzh.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17760.56333 - -17753.3. Let j = s + 7.27. Let n = 0.007 - j. What is n rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -244\/5. Suppose -x - x = 0. Are x and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3 + 17*w**2 - 4 - 2*w + 2. Let y be f(1). Suppose -48 = 3*r - 5*r. What is the greatest common divisor of y and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 + 5*s**3\/6 - 3*s**2\/2 + 8*s. Let g be q(-7). Is 14 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/(m*((m\/(m**(-2\/5)*m))\/m)\/m*m))**(-2\/19)\/(m**(-2\/3))**3)\/((m**(2\/3))**(20\/7)*m*m**(2\/15)*m*m*m\/(m\/m**1)) assuming m is positive.\nAnswer: m**(-8812\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 0, -2 - 10 = -4*z + 4*m. Put -4, 4, -8, z in ascending order.\nAnswer: -8, -4, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-66))\/(4\/(-12)). Let f be 1\/2 + -1 + 2. Which is the third smallest value? (a) f (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.44026 millennia to decades.\nAnswer: 2544.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**0))\/i*i)**(-15))**18*(i\/(i**(-1\/5)*i)*i*i\/i**(1\/3))\/((i\/i**(-2\/7))\/(i*i\/i**6)) assuming i is positive.\nAnswer: i**(-359\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 172 = 2*n + 3*n, n - 4*p + 44 = 0. Let x = n + 34. Suppose x*r + 2*j = -r + 1376, -3*r + 5*j = -1369. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-8)\/(-38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + 99. Suppose 4*a + 3*u + 18 = 2, 3*u = 5*a - 7. Let h(v) = -v**3 + v**2 + v - 1. Let c(f) = f**3 - 2*f**2 - 3*f + 1. Determine a*c(o) + n*h(o).\nAnswer: 2*o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 + 17965*s - 35917. Determine u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 122, 268, 400, 512, 598, 652, 668, 640?\n\"Answer: -q**3 - q**2 + 156*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.68? (a) 10 (b) 4 (c) -2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-16)*0 - 0\/(-7). Let u(b) = -35*b + i + 37*b + 0. Let q(y) = -112*y**2. Calculate q(u(o)).\nAnswer: -448*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*r**3 - 7*r + 0*r - 42*r**3 to y*r + f*r**3 + b + h*r**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102.7 + 103.1. Which is the second biggest value? (a) -4 (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 17*f - 17083. Suppose -2*k - 3*v = 3*k - 2590, -3*k + f = 2*v. Is 46 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 11. Let s be d(-9). Suppose 0*a = 2*a + 30. Let z = -12 - a. Solve s*y - z*y = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 20321?\nAnswer: 40642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3151460 by -460.\nAnswer: 6851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-64))\/(3\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-360)\/105)\/(3\/(-28)) - -3. Calculate the greatest common factor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -4*r - 1829, -3*a - 2*r + r + 792 = 0. Suppose -70*s + 73*s - a = -b, -2*s + 2*b = -170. What is the remainder when s is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 + 553*u - 1115. Let q be s(2). Solve -k + m + 2 = 0, 14*k - q*k + 4 = -2*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -25*r**4\/2 + 7*r**3\/3 + 798*r + 877. Differentiate p(s) with respect to s.\nAnswer: -150*s**2 + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8138177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29239, -58490, -87725, -116944, -146147?\nAnswer: -175334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(4\/7)))*m*m*m*m)**(2\/55) assuming m is positive.\nAnswer: m**(78\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 2*m**2 - 2. Let i be (-3)\/(-9) + (-20)\/(-12). Suppose 3*h - 4*h = -i. Determine x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/(-4)*((-2)\/12 + 793\/(-4026)). Sort 1, t, 327, -1 in decreasing order.\nAnswer: 327, t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4929738947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 13*j**2 + 55*j + 234. Determine n(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 12 = 34*b, -4619 = -4*a + 5*b. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*f - 53*f + 5505 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 185*z**2 + 1212*z - 284. Give k(52).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 0 (c) 2.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k = -18. Suppose 4*z + 60 = 2*i, -4*z = i - k*i + 120. Suppose 0 = -2*g + i + 2. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0.001, 5, -1\/3 in increasing order.\nAnswer: -4, -1\/3, 0.001, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 - 5*b**2 - 2*b + 5. Let j(l) = 4*l**3 + 3*l**2 + l - 3. Suppose 0 = -2*p + 3*p + 3, 4*g - 5*p = 3. Determine g*w(y) - 5*j(y).\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.8 and -522724.\nAnswer: -522719.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -35. Let f = m - -28.8. Let s = -20 + f. What is s rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Let r be 0 + -3 + 3 - -1. Let b = 4 - r. Solve y*w + b = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-533))\/(156\/185484)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 164254734.8 plus -0.3?\nAnswer: 164254734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 11880.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -87349.8 rounded to the nearest one hundred?\nAnswer: -87300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2900.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 40*k - 53. Let u(s) = 9*s + 59. Let n be u(-6). List the prime factors of a(n).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11414404 - 11?\nAnswer: 11414343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10940498?\nAnswer: 2, 5470249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69\/2 of a year?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/289, 2.1, 2\/13, 4 in decreasing order.\nAnswer: 4, 2.1, 2\/13, 4\/289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 20*z**2 + 98*z + 72. Let m(j) = -17*j**2 - 91*j - 73. Let i(r) = 5*d(r) + 6*m(r). Give i(-27).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 21*s**5\/5 - 131*s**2 - 91*s - 2. What is the first derivative of d(l) wrt l?\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 2\/6 - 390\/(-18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1377*h + 8261. Calculate y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, -1292, -2718, -4150, -5588?\nAnswer: -7032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j**3 - j**2. Calculate y(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/18 - 38*r**3\/27 + 20*r**2\/9 + 3101. Factor l(o).\nAnswer: -2*o*(o - 1)*(o + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1 + 4. Suppose -11 + 2 = d*n. Let g(y) = -9*y**3 - y. Let w(r) = -43*r**3 + 5*r**2 - 2*r + 1. Let x(k) = 5*g(k) - w(k). Calculate x(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765969 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-207)\/(-63) + (-2)\/7. Is 8 a factor of 1*m\/(-6)*-16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) - ((-5)\/(-2) + -3). What is the closest to -2 in 2, t, 1, -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-104)\/91)\/(2\/(-7)) - -4. Solve -3*q = q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844189.3mg to grams.\nAnswer: 844.1893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 33*b**2 - 42*b + 54. Let o be x(-15). Solve -45 = -o*h - 6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 142*z - 3920. Is d(99) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 5, -18, 0 in ascending order.\nAnswer: -18, -12, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:13 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 5. Let c be u(0). Let h = c - -7. Sort h, 4, -5.\nAnswer: -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, -6, 2, -11, -5 in descending order.\nAnswer: 21, 2, 0, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/3 - m**3 + 48*m**2 - 180*m = 0.\nAnswer: -15, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 8115, -80\/3?\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 619 - 618.6. What is the closest to 2 in i, 8\/5, 1, 0.3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) -7 (d) 934\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*p**2 + 134414 - 134414.\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:31 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a58 + 1?\nAnswer: -1a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1944, 3905, 5886, 7893, 9932, 12009?\n\"Answer: w**3 + 4*w**2 + 1942*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.78050481 plus -15.3?\nAnswer: 491.48050481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(825) - (sqrt(825)*3 - sqrt(825))))\/((-5*2*sqrt(99))\/sqrt(9)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(5 - 5 - 2*i + (0 - i + 0)*(-5 - 2 + 6) + 2*i - 2*i - i - 2 + 2 + i + 88 - 20*i - 88 - 2*i + 2*i - 2*i).\nAnswer: -92*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6674599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 7*k - 8. Let r(x) = -3*x + 6. Let w be r(4). Calculate the remainder when s(w) is divided by (-141)\/(-12) - (11\/4 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -79306 and 9.39369.\nAnswer: -79296.60631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55771 is divided by 75?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + m**2)*(4 - 1 - 7)*(-2 + 4 + 4)*(-2*m - 2*m + 6*m).\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 2*m**3 - 2*m**3 + (m**2 - 4*m + 4*m)*(-9 + 9 - 6*m)*(2 + 7 - 5).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97\/5 - -689\/35. Suppose -3*t = 2*r + 3 + 8, -5*t - 3*r = 20. Let d = 205 - 204.8. What is the closest to x in 4, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + 38 + (-51 - -16 - -18) + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/5*408\/1768.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -8. Let n be (4 - 11\/1) + -5. Let t = n + c. Solve -2 = -t*a + a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 17 + 21 + 14 + 12 + 888*j.\nAnswer: 888*j + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 times -52576?\nAnswer: 8622464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68639747 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4186 - 12560\/3. What is the nearest to 0.1 in 4, 0.87, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -352 and -352 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 - (-3 - (-8 - -2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5, -3*j + 31*u - 9 = 28*u. Let q(r) = -550*r - 90. Let o(y) = 25*y + 4. Let k(d) = j*q(d) + 45*o(d). Let p(m) = -12*m**2. Give k(p(b)).\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 7*m - 252 + 105, 39*p - 84 = -4*m + 37*p for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**9\/15120 + q**7\/2100 - q**5\/600 - q**3\/3 - 9*q. Let o(n) be the second derivative of u(n). Factor o(p).\nAnswer: -p*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -359400 + 207100. What is l rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 90\/156*64\/(-6). Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*m**4 + m**3 + 19*m - 6024 wrt m.\nAnswer: -184*m**3 + 3*m**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0*g**4 + 11\/150*g**5 - 1\/315*g**7 + 0*g**2 + 0*g**3 - 2\/45*g**6 + 44 + g. Factor q(i).\nAnswer: -2*i**3*(i - 1)*(i + 11)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895.0423ml to litres.\nAnswer: 0.8950423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (1 - (-4)\/(-12)))*-4. Is x bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a + 15. Let c(d) = 1786*d**2 - 2*d + 24. Determine p(c(h)).\nAnswer: 14288*h**2 - 16*h + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 29*s**2 - 3*s - 16. Let b(d) = -4*d**2 + 2. Let m(u) = 7*b(u) + z(u). What is m(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323 + 45 - (2 - 5).\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*(-10 + 1 - 513\/(-45)). Let s(b) = 29*b + 6. Let i(t) = -59*t - 13. Give n*i(y) - 13*s(y).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7335741 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*m + 54, -2*w + 54 = -0*m - 2*m. Let d = -12 - m. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-2)\/(-20)). Suppose 0 = 8*g - 11*g - 4*r - 13, -g - 5*r - 8 = 0. Which is the nearest to g? (a) -0.1 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -4)\/20 - 0 - 1\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49456932*f**3 - 582*f**2 + 22909*f.\nAnswer: 296741592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 155109?\nAnswer: 4\/155109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*9\/(-96)*16\/4*(-9384)\/573597.\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42\/13? (a) 4 (b) 2\/19 (c) -5 (d) 0.3 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 2)\/(-1) + 5. Let f be (-8)\/(-156)*2\/d. Let v = f - -3\/52. Put -1\/3, v, 4 in increasing order.\nAnswer: -1\/3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3065 is divided by 1019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*y = -24. Suppose y*n - n - 45 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - 10) + -10 + (25 - -4).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 + 186. Solve -k + 3 = -4*h + 5*h, -u = -4*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4664*g**3 - 6*g**2 + 7*g - 7. Let s be o(7). Let r be s + (-2 - -3) + 3. What is r rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -449 + 3931. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 30*k + 95. Let l(h) = -h**3 - 6*h**2 - 9*h - 15. Determine l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 17*b + 11. What is i(12)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 128*m = -3*m - 745. Suppose -k + 3*y + 8 = 0, 3*y = 4*k + 2*y - 10. Solve m*t = -v + 6, v - 2*t + 10 - k = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 + 1)\/((-10)\/6)*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*a - 1 - 1, -3*u = -3*a - 15. Suppose -u = 4*b - 24. Let y = 882 + -880. Solve y*i + 2 = 2*w, -3*w + i + 1 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89202395 rounded to four dps?\nAnswer: -0.892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h + 4. Let y be (h - (-15)\/9) + 0. Which is the third smallest value? (a) y (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3170)\/(-4) - (-18)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 11174 + 11034 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*w**5 - w**4 + 194*w wrt w.\nAnswer: 2700*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73164809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2456 - 5*q + 2456.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 667 + -623. Suppose 0 = -c*o + 39*o + 215. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:52 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*b - 1. Let x(m) = 2*m + 17. Let o be x(b). What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 5*y**4\/8 + 13*y**2\/2 - 15. Let d(n) be the second derivative of l(n). Let u(j) = 2*j**2. Determine d(u(s)).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(84)\/sqrt(7)))**2 + (sqrt(11) - sqrt(44)) + sqrt(11) + 3 + -5 + (4*(sqrt(1100) - sqrt(1100)*1))**2 + (4*sqrt(1584)*-2)**2.\nAnswer: 101385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.87035071 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**7\/5880 + w**6\/504 + w**5\/140 + 10*w**3 - 41. Let x(k) be the third derivative of j(k). Factor x(d).\nAnswer: d*(d + 2)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 28 = -5*j, 235*j = 230*j + 3*v + 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.068 + 1.618. What is j rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -1255 + 1240. Sort -23, -2\/3, b in ascending order.\nAnswer: -23, -2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/14209 and -51\/4372?\nAnswer: 56836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-2 + 2 + 3 - 4 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2. Suppose -31 + 21 = -5*d. Suppose 13 = 4*w + 5. Let r(u) = -d*u**w - 3*u**2 + u**2 + 6*u**2. Give r(f(n)).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38398859 to four decimal places.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 2*w - 3, 0 = 4*w + 16. Let p be h - ((-57)\/15 + 3). Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:34 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1159 and 31643873.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 4, i: 1, q: 2, b: 3}. Give prob of sequence jjqq.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 507.03 - 510. Let r = o + -0.03. What is the smallest value in 2\/9, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1 (c) -1\/38 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1137546447 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291521 is divided by 422?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.14, -11, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 1\/(-2))*2. Suppose v*y - 5 = 5*c - 2*y, -5*y + 5 = -3*c. Factor 0 + c*d + 1\/5*d**2.\nAnswer: d**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47b41a5 - 2?\nAnswer: 47b41a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*d + 11, -5227*p + 5226*p + d = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f**2 - 167*f - 29. Determine n(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290894555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 6140*p - 6140*p + 80 - p**5 + (3*p**2 - p**2 + 0*p**2)*(5*p**3 - p**3 - 3*p**3) + (1 + 3 - 2)*(2*p**5 + 1 - 1).\nAnswer: 5*p**5 + 2*p**3 + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:16 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 2. Let d(x) = 6*x + 48. Let u(q) = 12*q + 96. Let w(y) = -5*d(y) + 3*u(y). Let j be w(-5). Solve -5*o + 3*m = -n, -4*o + j = o + m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.96 - 42715\nAnswer: -42714.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16508, -4, 3, 9, 4 in decreasing order.\nAnswer: 16508, 9, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/144195, 1\/8, -2?\nAnswer: 1\/144195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27334 and 790.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24839*x + 65340 = 24113*x for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -35*x - 42. Let w be ((-8)\/6)\/(8 - (-4048)\/(-504)). Let b(g) = -g - 1. Calculate w*b(t) - f(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 34586676*w + 149529769591122.\nAnswer: 2*(w + 8646669)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 92. Solve 4*s - 23 = -w, r = -w + 5*s - 10 - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + (sqrt(68)*2*-4 + (sqrt(17) + 1 + sqrt(425))*-5)*-5 + 4)**2.\nAnswer: 12420*sqrt(17) + 900029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*w - 11*w - 1, 2*c = -4*w. Let o = -4.94 + 5. Sort c, 0.02, -1\/4, o.\nAnswer: -1\/4, 0.02, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - j**2 - 2 + 0)*(-32 - 45 + 11).\nAnswer: 66*j**2 + 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, y: 2, u: 1}. What is prob of sequence ey?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/8 - d**3 - 7*d**2. Let r(t) = -3*t - 5. Determine 5*q(f) - 6*r(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 57, -1\/5, 8, 88, 2\/13, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let u(w) = w. Let c(p) = 17*p. Let d(l) = 6*l. Let i(g) = 3*c(g) - 8*d(g). Let n(f) = -3*i(f) + 7*u(f). Calculate m(n(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2558, -5071, -7584?\nAnswer: -10097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182190 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235 - 233. Put 0, b, -4\/11 in descending order.\nAnswer: b, 0, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 16 = 20. Factor -2\/3*g**u - 2\/3 + 2\/3*g + 2\/3*g**2.\nAnswer: -2*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3)*42\/(-35)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83609299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1804 and 4908?\nAnswer: 2213508","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5\/j)\/(j*j\/((j**(1\/2)\/j)\/j))*((j\/j**(1\/4))\/j)**(17\/3) assuming j is positive.\nAnswer: j**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21872841.\nAnswer: 3, 7290947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98183015 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 26\/(-8) - (-1)\/(-4). Suppose 67 = 3*m + 4*t, 6*m - 123 = m - t. Suppose l + m = 6*l. Solve -d = 5*b + l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1272845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7850 and 22608?\nAnswer: 565200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11321.8997 rounded to the nearest one hundred?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*t - 9 - 37 = 0, -15 = 3*t. Let b be 670\/8 - (-1)\/4. What is the highest common factor of b and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.26 (b) 1.6 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 16*y + 10. Let a(o) = -o**3 + 5*o**2 + 6*o. Let b be a(6). Let g(k) = k**3 + k**2 - 2*k - 8. Let i be g(b). What is the units digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 10*m = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by (0 + -6)*(8740\/120)\/(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*w - 6*w. Let i be -2 + (3 - (-18 - -4)). Calculate the highest common factor of w and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (5 - 3) + 74 + -44?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 33 = 4*u - 252, -3*g = 5*u - 347. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*n = 23, x = 5*x - 2*n - 6. Is x - 3750\/(-4 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 259 + -227. Calculate the lowest common multiple of 20 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 15*x - 3. Determine f(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 55\/35 - 3\/7. Let b(s) be the second derivative of z*s**2 - s + 1\/3*s**3 + 0. Let f(j) = 3*j. Determine f(b(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2875, 666, -2983, -8072?\n\"Answer: -720*j**2 - 49*j + 3644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g + 12783 + 25*g - 18*g.\nAnswer: 26*g + 12783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-14)\/840). Let l = x - 26. Find the third derivative of -8*i**2 + 2*i**4 + 4*i**l - i**4 wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(-1 + 2)). Let h(d) = -3*d + 2. Let l be h(2). Let n be (-5)\/20 - (-3)\/l. Is n at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:07 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r + 2*c - 9, -5*c = -4*r + 23. Calculate the remainder when 39 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16996 times 4?\nAnswer: 0.67984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, -66\/515 in descending order.\nAnswer: 27, 3, -66\/515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/6)\/(21*35\/(-2205)). Solve -22*a - h = 3*v - 23*a, -2*v + 2*a = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-42) + -1 + 2*(-30)\/105?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 842776 and 6920.\nAnswer: 729001240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-388)\/(-76) - -123*72\/(-342)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10\/i**(-5)*(i*i**4)\/(i*i\/((i**2\/i*i)\/i*i)) assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/4664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4211053 (base 9) in base 2?\nAnswer: -1000100101100111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.5. Which is the closest to 0? (a) -0.5 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 + 39*q - 39*q.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3681, -3175, -1781, 951, 5471, 12229, 21675, 34259?\n\"Answer: 75*l**3 - 6*l**2 - l - 3749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3440 divided by -4\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.92 times -0.08?\nAnswer: -3.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/638 and 79\/12.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1 = -2*l, -4*d + 9*d = -2*l + 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**0)**2*(g**1)**20)**44)**39 assuming g is positive.\nAnswer: g**37752","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v + 12 = 4*y, 3*y = 5*v + 25. Suppose 0 = 9*b - 445 - 590. Suppose 30*g - b = 25*g. Solve -g = 5*x + 4*a, -y*a - 13 = x - 0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -946*x**2 + 272*x**2 - 1034*x**2 to the form v*x**2 + s + p*x and give v.\nAnswer: -1708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 1198*g + 9400. Give f(8).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*g**3 + 3*g + 141*g**3 - 3*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 2*k + (0 + 0 + 2)*(0 + 0 + k) + k - 3*k + k - 2*k + k + 2*k)*(-19*k + 26*k + 38*k).\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 4 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 8*b**2 - 6*b + 7. Let t be s(-7). Suppose -y = -t*y. Let w(v) = -v**2 + v + 29. Let g be w(y). Solve p + 8 = -m, 4*p + 0*m + g = -3*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 9*y**2 - 3*y + 8. Give j(8).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 68 - 135 + 66 - q. Calculate n(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 14, c: 5}. Give prob of picking 2 z.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 718939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3*z - 5*z)*(-4 + 3 + 3) - 82 + 165 - 55 - 13*z.\nAnswer: -11*z + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*s - 2 + 14 - 51*s + 7 + 30*s as z + x*s and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Let l = 13\/20 - 2\/5. Sort l, g, 1\/3.\nAnswer: g, l, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 14735690*i - 10857027988805.\nAnswer: -5*(i - 1473569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 16*o - 26. Suppose 0 = -2*h + 20 + 2. Calculate the remainder when q(h) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.077 in 2\/11, 1, 0.5, -1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -38*x - 6 + 44*x + 0 + 6. Let r(z) = -2*z - 133. Determine r(t(w)).\nAnswer: -12*w - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 3. Let y = -4 + 10. Let o(c) = 2*c + 5. Let d(m) = y*o(m) + 11*q(m). Calculate d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k**2 + 27*k**3 - 2*k - 19*k**4 - 4*k - 5*k. Let h(f) = -5*f**4 + 7*f**3 - 3*f**2 - 3*f. Let m(p) = -22*h(p) + 6*r(p). Factor m(o).\nAnswer: -4*o**3*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55738.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 85365?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3)*(h**3 - 11*h + 11*h) + (3*h**2 - 2*h**2 + 0*h**2)*(0*h - 2*h + 4*h) as v*h**3 + g*h**2 + p*h + o and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:39 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57024 and 47928?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1512)\/70*(-320)\/256.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*p, -o + 3 + 5 = -p. Let l(f) be the third derivative of 1\/270*f**5 + 0*f + 1\/54*f**o + 1\/27*f**3 - 3*f**2 + 0. Factor l(h).\nAnswer: 2*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22156, -44343, -66530, -88717?\nAnswer: -110904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38989?\nAnswer: 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 24 = 94. 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 h = -0.6052 - -0.6452. Which is the third biggest value? (a) 0.2 (b) -1.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5*108\/756. Which is greater: x or -0.139?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4999790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16180478357666+0.2\nAnswer: -16180478357665.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 27 = -115. Solve 4*x = 2*s + f, 0*x + 2*s - 13 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 15, 19, 23, 27, 31?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260447.3cm in micrometers?\nAnswer: 2604473000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -25. Suppose -3*u = -i + 2861, 6*i + 1900 = -j*u + 3*i. Is u\/3*(-2 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1560 + -1557. Factor -3\/5*m**5 + 6\/5*m**2 - 3\/5 - 3\/5*m**4 + 6\/5*m**l - 3\/5*m.\nAnswer: -3*(m - 1)**2*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -669, -12, -5?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 5) to base 12.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3 + 2*o - 2 + 5*o**2 - 4*o**4 - 2*o**3 + o**2 + 3*o**3 = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t = 49*t. Sort -1, 5, t, -34 in ascending order.\nAnswer: -34, -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.939 rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11917*f - 124 + 11893*f - 9. What is the least common multiple of 35 and n(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + n - 1. Suppose 5*o = -15 - 5. Let i = o + 5. Let f be s(i). Solve -z + 3*z - 5 = -u, 6 = f*u + 2*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 3*c - 2. Let x be k(3). Let r = x - 38. Factor -r*s**3 + s**3 - s**3 - 9*s + 15*s**2 - s.\nAnswer: -5*s*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -76, -168, -294?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43925 and 4808650?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325084532?\nAnswer: 2, 81271133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 703242 and 3.\nAnswer: 703242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 835*d**2 + d. Let k(q) = 22666*q - 1. What is k(m(p))?\nAnswer: 18926110*p**2 + 22666*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 96. Let a be 11\/66 - -71*(-3)\/i. Let z = a + -106. What is the closest to z in -0.5, -1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(10 + 4) - 3027\/(-63)*3 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254715307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 119 - 263*g - 40 - 55*g - 9*g. Is f(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/2 + 166*w**3\/3 - 573. What is l in z(l) = 0?\nAnswer: 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v\/(v\/(v*v**(-10)))))\/v)\/v**(-6))**50 assuming v is positive.\nAnswer: v**800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1. Let b(h) = h - 4. Let y(g) = -b(g) + 4*m(g). Let o = 0 + 4. Let w(q) = -2 - o*q + 2. Determine w(y(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/9 + 112*t**4\/3 - 4348*t**3\/9 - 1672*t**2\/3 + 4346*t\/9 + 520 = 0.\nAnswer: -180, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 290137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (94 - -27) + 5 + -1. Calculate the highest common factor of g and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from eknnokql?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-25)\/(-15))\/(-8 + (-345)\/(-45)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618718 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 86.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 558?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94244 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*t - 3*t + 11, -4*r = t - 19. Suppose -4*w - 3*o + 93 + 322 = 0, -r*w + o + 411 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 150? (a) 0.5 (b) -0.092728 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16*1 - 1*(4 - 8). Solve -4*t = 3*z - 0*z + k, 2*z - 10 = 2*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, -225, -1034, -2615, -5226, -9125, -14570, -21819?\nAnswer: -31130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9991 or -10196?\nAnswer: -9991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + l - 1)*(-3*l**3 - l**3 + 2*l**3).\nAnswer: -2*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b - 95. What is t(22)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12259, -880, 0 in descending order.\nAnswer: 0, -880, -12259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14787979*a. Let j(n) = 5*n**2. What is j(w(h))?\nAnswer: 1093421614522205*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1642*s + 2*w + 92 = 1693*s, 4*s = 3*w - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.5 (b) -9.1 (c) 0.65 (d) 0.24 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*m - 45 = 228*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/720 - 4*s**5\/15 + 64*s**4\/3 - 8192*s**3\/9 + 239*s**2. Determine u so that i(u) = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 350, 340, 382, 518, 790, 1240, 1910?\n\"Answer: 7*t**3 - 16*t**2 - 11*t + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1184 - 2370 - 2*o + 1186. Let w(j) = -962*j. What is w(l(t))?\nAnswer: 962*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*l**2 - 17*l**2 - 95*l**2 - 3*l + 3*l - l**2 + l**2 + 1 - 1 + l**2 + l - l + (2 + l - 2)*(-l - 4*l + 6*l) + 0 + 0 + 3*l**2.\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 72*d - 8. Let o(r) = 221*r - 23. What is 8*k(j) - 3*o(j)?\nAnswer: -87*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 67.06886699 and 3.2.\nAnswer: 70.26886699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 138, 277, 416?\n\"Answer: 139*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264713807 to the power of 1\/2, to the nearest integer?\nAnswer: 47589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.4, -0.5, 0.1, 2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 5, 2\/15, -6, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {z: 1, i: 6, u: 2, v: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*g**2 - 451*g**2 - 34 + 34 to the form f + x*g + a*g**2 and give a.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 take away -128?\nAnswer: 130.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -21 (b) -2\/7 (c) -0.1 (d) 0.59 (e) -0.6 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 37*u + 2036. Calculate c(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202218 (base 9) to base 13.\nAnswer: 19a516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 4:27 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41321859 - 18466659. Round v to the nearest 100000.\nAnswer: 22900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 39.1. Which is greater: -762 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56254.51669 to the nearest integer.\nAnswer: 56255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-8 - -2) - (-6 + 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387113 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15347433?\nAnswer: 3, 593, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17219.\nAnswer: 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.1883578 months?\nAnswer: 0.18236315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 9}. Give prob of sequence bcbc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -t + s + 68, t = -4*s + 92. Let r = -48 + t. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, m: 3, e: 2, q: 1, s: 4}. Give prob of picking 1 q and 1 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 6*w + 13. Let d be v(-7). Solve 0*h + 3*h - d = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -328, 278, 7 in decreasing order.\nAnswer: 278, 7, -10, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(480\/224)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i + 1. Let a(z) = -20*z**2 + 18*z - 18. Let v(j) = 2*a(j) + 36*n(j). Let s(y) = 5*y - 2*y - y. Calculate s(v(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.6, -11, 0.4, 0.3 in increasing order.\nAnswer: -11, -4, -0.6, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.7171 rounded to 1 dp?\nAnswer: 64.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(1053) + 2 + sqrt(1053))**2 + 1 - (-2*(-3 + (sqrt(1300) - sqrt(1300)*2) - sqrt(1300)))**2) + 3.\nAnswer: -16612 - 408*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/1157143 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74.0635 millennia?\nAnswer: 888762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12964744 and 468?\nAnswer: 116682696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -7083.641.\nAnswer: 425.01846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:45 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 38. Suppose 369 = r*p - 5369. What are the prime factors of p?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*((-2310)\/20)\/33.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 8, q: 3, i: 1, a: 1, v: 1, e: 2}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u + 14. Let o be v(11). Let p(f) = -f**3 - 18*f**2 + 17*f - 23. Let w be p(o). Solve w = h - 6*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5.6. Let n = -2 + -1. Let m = 0.05 - 2.05. What is the closest to 1\/3 in m, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3205 divided by -641\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k - 110436 - 56364 = -89*k. List the prime factors of k.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071070966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 - 3*q. Let l be o(-4). Suppose -z + 2*z = l. What is the greatest common factor of 56 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -82. Find the first derivative of 30 - 9*n**4 + m - 28 wrt n.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5, -0.017, 5 in ascending order.\nAnswer: -5, -0.017, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -89\/3, 2\/11731, -1\/6, 10\/13, 2 in decreasing order.\nAnswer: 2, 10\/13, 2\/11731, -1\/6, -89\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*h, -4*h + 24 = -4*s. Let m = 9 + s. Suppose p = m*p - 72. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/2288 + 4\/22. Which is the nearest to -1? (a) n (b) -2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5763.195g to kilograms.\nAnswer: 5.763195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/5 (c) -4.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*1*(-1 - -2). Let t(y) = 1283*y - 1281. Calculate the remainder when -2 - (2 - 10) - v is divided by t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/10 - 6 - (-2)\/(-5). Let o = v + 81\/20. What is the common denominator of o and 81\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 490 - 224. Let c = i + 211. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 127219 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r + 0*r - 6*r - 11*r. Let a(f) = -11*f. Let d(z) = -4*a(z) + 5*o(z). Let m(n) = -n**2 + 20*n. What is m(d(g))?\nAnswer: -g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22271347\/2306 + 9658. Let c be (-1)\/(30\/(-16306)*(-23060)\/(-420)). Let y = p + c. Calculate the common denominator of -46\/7 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*s - 2, -4*x - 5*s - 2 = s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 17 = -11. Let l be (-2 - 0) + 1 - q. Suppose z + l = 4*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.11 (b) -1 (c) -2\/15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1283.696446 + -1283.83. Round z to 3 decimal places.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72, 103, 132, 159, 184, 207, 228?\n\"Answer: -h**2 + 34*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18615 is divided by 3091?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -n + 58, -493*n = -491*n + 2*c - 140. What is the highest common divisor of n and 13744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 12*k + 12. Let y be 2\/((-7)\/(308\/(-8))). Let v be n(y). What is the units digit of (-434)\/42*(-1 + (-4 - v))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {d: 4, j: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 p when three letters picked without replacement from fttpuyyi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -64 (b) 3 (c) 0.09 (d) -2 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/20 + y**4\/4 - 3*y**2\/4 + 4*y + 1. Let z(f) be the first derivative of g(f). Factor z(m).\nAnswer: -3*(m - 1)**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3161 plus 2.1?\nAnswer: -3158.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8407481 divided by -6.\nAnswer: 8407481\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187941 and 17004039.\nAnswer: 3081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -132*u**2 + 20*u - 122. Let r(c) = -131*c**2 + 16*c - 122. Let f(h) = -4*l(h) + 5*r(h). Differentiate f(q) with respect to q.\nAnswer: -254*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370612407 to the nearest integer?\nAnswer: 19251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*w - 147*w - a + 278 = 0, 5*w - 2*a = 354. Calculate the highest common factor of 2030 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*p + 1800 = 242*p. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55651 divided by 8?\nAnswer: 55651\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 66. Let p = u + 18. Let l = 11 - p. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (285\/836)\/(161\/(-14) - 5) and 85\/3388.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 4*f**2 + 7*f + 6. Let o(i) = -4*i + 6*i + i**3 + 6*i**2 - 4 - 3. Let d be o(-5). Let h be 4\/d*(1 + -11). Give u(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2638, 0.4?\nAnswer: 2638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z - 7*z - 4*t - 12, 3*t = z - 6 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50)\/225 - 157870\/(-45).\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -2704, -3\/5, 74 in increasing order.\nAnswer: -2704, -3\/5, -0.18, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 63. Suppose 3*g - 1 - t = 0. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 10*b**2 + 5*b - 38. Let m be f(-11). Suppose -18*t + 26*t = m. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289870, -2318987, -7826592, -18551929, -36234242, -62612775, -99426772?\nAnswer: -148415477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 9:08 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t + 2372555*t**2 + 2372565*t**2 - 4745118*t**2.\nAnswer: 2*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330 by -2.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15878 + -15878. Which is smaller: 8\/913 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**4 + 6*b**4 - 8*b**4 + (-3*b**2 + 4*b**2 + 0*b**2)*(-4*b**2 + 7*b**2 + b**2).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -537 - -4299\/8. Let q = 0 + 0. Let v = 0 + q. Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 883*q**3 - q**2 - 62632 + 62633 + 1418*q**3 as t*q**3 + d*q + s*q**2 + z and give t.\nAnswer: 2301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.26*-78.\nAnswer: -176.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 64. Suppose -2*k - 1 = 5*v + 6, 3*v + i = 2*k. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 27 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 175*w**3 - 4 + 213*w**3)*(-6*w + 4*w + 4*w).\nAnswer: 76*w**4 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -19 + -1 + (-1 - -5). Let a = g + 25. What is the derivative of 84 + a*i - 44 - 43 wrt i?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70.743 and -65.\nAnswer: 5.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4)*(-12)\/10. Solve -17 = -4*p + 5*g, -2*p - 2*g = g - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1 - 4 + 7 - 24*q + 23*q. Suppose -2*v - 12 = 2*v. Let s be r(v). Calculate the greatest common factor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21*u**2 - 2*u. Let v(b) = -105940*b. Calculate v(y(g)).\nAnswer: 2224740*g**2 + 211880*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44854318 is divided by 280.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -2453?\nAnswer: 2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437243448.\nAnswer: 2, 19, 61, 155009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1325 - -4806. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/20 - o**4\/12 + o**3\/6 - 22*o**2 + 2*o. Let c be k(0). Let a = -25 - c. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**2 - 136395*d*v**2 - 2*v**2 + 2*v - 31122 wrt d.\nAnswer: -12*d - 136395*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*u - 17 - 11, 0 = 3*s - 5*u - 13. Let i = 3 + -3. Suppose i*z = -2*z + f + 14, -5*z + 24 = 3*f. What is the greatest common divisor of z and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996471 is divided by 12556.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i + 4. Let b(f) be the third derivative of -1\/6*f**3 + 0 + 11*f**2 - 1\/24*f**4 + 0*f. Let p(c) = -3*b(c) + j(c). Differentiate p(n) wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/3 + 4040*x**2\/3 - 1361479*x + 2717574 = 0?\nAnswer: 2, 2019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2485933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 5:35 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 250 - -5?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -41*c + 185. What is the least common multiple of m(4) and 51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5833*h + 5818*h. Let u(x) be the first derivative of 0*x**5 - 1\/10*x**h + 0*x**3 + 1\/10*x**2 + 0*x + 1\/30*x**6 + 19. Factor u(k).\nAnswer: k*(k - 1)**2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -13*j - 168. Let r(t) = 2*t + 1. Let b be r(-1). What is the tens digit of (-2)\/(j\/455) + b\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7520*o**3 + 7230 - 138179686*o + 138179686*o with respect to o.\nAnswer: -22560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 712? (a) 0.08 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/14 and 77\/15*30\/20?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2872, 5755, 8650, 11557, 14476, 17407?\n\"Answer: 6*j**2 + 2865*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36577351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4, -2*q + 27*a - 23*a = 8. What is the common denominator of -15\/4 and (q - (-1)\/6)\/(100\/(-6))?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-410*u**2 - 6682*u**2 - 5800*u**2 + 25*u**2)*(-3 - 3*u**2 + 3).\nAnswer: 38601*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.9. Let s(g) = -31*g - 125. Let u be s(-4). Let r be (9\/15)\/(-3) + u\/(-5). What is the closest to r in j, 5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -4*w. Let b(g) = 3*g + 11. Let u(i) = -3*i - 12. Let j(q) = w*u(q) + 4*b(q). Let a be j(-3). Which is bigger: a or 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from ujuduujjujudddqd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14831\/48 + 309. Let t(o) be the second derivative of 0*o**2 + 1\/120*o**6 - r*o**4 + 0*o**5 + 0*o**3 + o + 0. Factor t(v).\nAnswer: v**2*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 800999?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 258 + -242. Let m be 1 + 1\/(-1) - -2. Suppose f - h = -2*j + 37, -m*j + 23 = -5*f. Calculate the remainder when 47 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3980 is divided by 114?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13.84, -4, -0.4, 4\/3, 3, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14518385 divided by 9?\nAnswer: -14518385\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 11. Suppose 4*o = -16, -4*o - 28 = -3*m - 0*o. What is the third derivative of 21*f**2 - 7*f**2 - 15*f**m - 5*f**l wrt f?\nAnswer: -360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 28*p - 23*p. Solve -1 - p = 2*t - 3*b, 2*b = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -517 and -0.3.\nAnswer: 155.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + c = -11 + 2, r + 4*c + 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 0.09, 15\/22, -361?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (sqrt(2736) + sqrt(2736)*-3 - sqrt(2736))) + (sqrt(19) - (sqrt(19) + -6*3*sqrt(19))**2).\nAnswer: -5491 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5*48\/(-440))\/(8*(-3)\/(-792))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/3576 and 25\/6258?\nAnswer: 25032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -115*s - 6937. What is n(-60)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 164, 239, 310, 377?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s**2 + 2*s**2 + 3*s**2 + 51*s - 4 - 53*s. Suppose 0*z - 80 = -5*z. Calculate the lowest common multiple of q(-2) and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Suppose -32 = -4*f + j*f. Let z be (f\/3)\/(2\/3). Solve y - z = -3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498\/9 less than 279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*(80 - 29 + 39)*(-5*b + 0*b + 0*b) as m + w*b and give w.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.078, -0.11, -10, -0.5, -0.3, -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*f - k, 42 = -10*f + 7*f + 3*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*j = -36, 0 = -5*x - 116*j + 112*j + 43 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:06 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 18*d + 190. Let q(b) = -15*b - 189. Calculate -4*k(t) - 5*q(t).\nAnswer: 3*t + 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3\/4 - 723*a**2\/4 = 0.\nAnswer: 0, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s**2 + 1445*s - 508*s - 433*s + 6*s**2 - 504*s.\nAnswer: 53*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9 - 5 - 5 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q + 6. Let w(y) = 6*y + 6. Suppose 0 = -4*h + 20 - 0. Let b = 1 + h. Let x(s) = b*w(s) - 7*c(s). Determine x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302 - 141324112?\nAnswer: -141330414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -45. Let f = 7\/52 - -3\/26. Which is the closest to 0? (a) w (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11457 and 21393234.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 16*s**2 - 20*s + 8.\nAnswer: -4*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*w + g, 10 = -5*w + 3*w + 4*g. Let q(z) = -w*z**3 + z + 2*z**3 + 2*z**3 - 4. Let u be -1*(0 - 1) + -1. Give q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3695, -3693, -3691?\nAnswer: -3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f - 2*f - 8 + 6*f**2 wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {y: 2, z: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -767 * -5.\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -2*o - 11*s + 272, -3*s - 559 = -4*o. Calculate the remainder when o is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 48920460*j + 119660570330580.\nAnswer: 5*(j - 4892046)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26 - -18) + 2 + 5. Which is greater: s or -1\/139?\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*i**3 + 217*i**2 + 246*i**2 - 463*i**2.\nAnswer: -254*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 221493\/38 and 5828 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + t + 5*t)*(0 + 4 - 2)*(-2 - 11 - 2) as p + m*t and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 767. Let a be v(0). Let h = a - 521. List the prime factors of h.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 6 + 3 - 14*c**4 wrt c?\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 26 = 2*q. Let v be 41 - 0 - (-4 - 0). Let j = v + q. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 131*k**3 - 2*k**2 + 2. Let u be j(1). What is the second derivative of -4*h**3 - 91*h + 6*h**3 + u - 131 + 93*h**2 wrt h?\nAnswer: 12*h + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 13. Suppose 3*p + 4*i = 14, -3*p = i - l*i + 2. Suppose 4*m = p*m + 4. Solve -3*x - m = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398224.\nAnswer: 2, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38156328?\nAnswer: 2, 3, 7, 75707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:49 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/3025 and 18\/265.\nAnswer: 160325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157809719?\nAnswer: 59, 227, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -508, 37, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**30*s**(-2\/13)*s**(-2) assuming s is positive.\nAnswer: s**(-418\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*(-4)\/(-6))\/(4\/16). Solve 3*z = 5*w - 4, -3*z + o*z = -4*w + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -2010?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 459669.3 milligrams?\nAnswer: 459.6693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3462880 divided by -4?\nAnswer: 865720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 100209358761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -1. Let w = -998\/39 - 92\/13. Let i = 32 + w. Which is the smallest value? (a) m (b) i (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2903 divide 532956711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2395 (base 13) to base 14\nAnswer: 1b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 468595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + 3. Let c(k) = -3*k**2 + 2. Let m be (0 - (-2 - 1 - 0))\/(-1). Determine m*c(d) + 2*y(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3484271 divided by 6\nAnswer: 3484271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Solve m = -2*m - g*l - 6, m - 2*l - 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 321 and -0.06.\nAnswer: -19.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2461*a + 2456*a - 5039*a + 1952 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 23*o**2 + 5789*o + 39392. Calculate r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -370 + 374. Which is the nearest to -0.3? (a) -9 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1\/8 (c) -0.4 (d) -8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y**(3\/2)*y*y*y))\/y)\/y)**(-3\/11)*y**(1\/4)\/(y*y**8*y))**(-13))**(-1\/72) assuming y is positive.\nAnswer: y**(-143\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 959822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 0, 1 in ascending order.\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 259, 277, 293, 307, 319?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41646*b**2*v**3 - 11*b**2 + 3*b*v**3 - 331281*b*v**2 + 22*v**3 wrt v.\nAnswer: 249876*b**2 + 18*b + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*n + 2*n**3 + 64*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1634 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -71, 11, 5, 279, -2 in ascending order.\nAnswer: -71, -4, -2, 5, 11, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2 - -1) + 29. Suppose -5*r - 3*i - k = 0, 0*r + r = -2*i - 12. Let h be ((-1)\/(-3))\/(9\/(-6)). What is the third smallest value in h, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:45 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291188 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 39474 and 39224 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 8*k**2 - 2*k - 4. Let h(w) = 7*w**3 - 16*w**2 - 3*w - 7. Let a(l) = 4*h(l) - 9*x(l). Let p be a(-7). Solve 3*q + p = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 685293844 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38\/77 - -7\/11. What is the fourth biggest value in 1\/6, h, 1, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 3*r**2 - 8 + r + 6*r**2 - 2*r**2. Let w be z(8). Suppose w = n + 2 - 22. Calculate the least common multiple of 18 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -1\/120*n**6 + 0*n - 1\/3*n**3 + 1\/10*n**5 - 1\/24*n**4 + 0 + 2*n**2. Is 7 a factor of r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4331 - 4156. Calculate the greatest common factor of 595 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 8.6\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/12 - (-12)\/16 and (-115 - -118)\/(-1 - (-13)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 65018709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from onqgvqonw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1086, 1075, 1058, 1035, 1006, 971?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbbx when four letters picked without replacement from bxdddbxdbbx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v - 16*v + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43914565 is divided by 4879396.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:51 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*s - 3, 3*a + 2*s - 3 = 5. Suppose -2*x - a*r + 4 = -r, r - 4 = 0. Solve 2*w = -x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 = -2*x + b, 327 + 215 = 3*x - 2*b. Calculate the greatest common divisor of 36 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*l + 2 + 3 = 0, -13 = -4*b + l. Suppose 0 = -b*m - 2 - 18. Let y(d) = 4*d + 1. Let k(x) = -x. What is m*k(q) - y(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 249 + 21 = 0. Let o be (-3)\/(-12) + n\/(-8). What is the remainder when 35 is divided by (24\/o)\/((-5)\/35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1012*y**2 + 516*y**2 + 500*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 29. Let f be 4 + 4*q\/6. Solve -5*p = -f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -872 divided by -4?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-6 + -1 + 0. Let d(b) be the third derivative of b**6\/120 + b**5\/10 - 5*b**4\/12 - b**3\/6 + 24*b**2 - 2446*b. Determine d(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 - b**3 - b**3 + 4*b**3 - 3*b**3 + 3*b as x + d*b + n*b**3 + l*b**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -2 + (-360)\/9)*2\/6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 5. Let d = 11 - 8. Suppose 4*c - 5*x = -25, -d*x - x + 20 = -5*c. Suppose -3*o = -4*s - 28, c*s - s + 4 = 2*o. Determine k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2 + 5*v + 2*v**2 + 2\/3*v**3. What is the units digit of w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s**2 + 2*s + 116. What is p(8)?\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -64*k**3 - 8*k**2 + 3*k. Let l(j) = 43*j**3 + 5*j**2 - 2*j. Let v(p) = -5*f(p) - 8*l(p). What are the prime factors of v(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -48*z - 1220. Determine o(-26).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - -6. Suppose -m - v = -5*m. What is the remainder when 25 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(14)*-2)\/sqrt(7) - ((sqrt(18)\/(sqrt(27)\/sqrt(3)))**2 + 5*(sqrt(18) - sqrt(2))).\nAnswer: -12*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408182740 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*x**2 - 562 + 562 - 2 + 2 + 2*x**2 + (-3*x**2 + 4*x**2 + x**2)*(-2 - 2 + 3) - x + x**2 + x.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7925*q + 19*q**3 - 7925*q - 7*q**3 - 14*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(20) + -5 + -6*(sqrt(117)*3)**2.\nAnswer: -6323 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**2 + 47*t**2 + 89*t**3 - 24*t**2 - 122*t**3.\nAnswer: -33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62245908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*d**2 - 1257*d - 178861 wrt d.\nAnswer: 34*d - 1257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from qddrrrrrddrrdqdddqd?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -1\/40*g**5 - 63\/4*g**2 - 49 - 1\/24*g**4 + 11\/4*g**3 + 2*g. Determine z, given that v(z) = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-12 + -2) - 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11467*a**2*w**4 + 310597*a**2*w**2 + 7*a*w**4 wrt w?\nAnswer: 275208*a**2*w + 168*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 27*s + 25. Calculate g(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 13) to base 5\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 8*d**2 + 10*d - 4. Let a be g(9). Suppose 0 = 5*j - 4*v - v - 95, -a*v = j - 25. Let k be 9\/((-6)\/(-4)*1). Solve k*w = w + j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 20, 2*v + 5*b = 3*v - 25. Let y be 4\/(-14) + 4398\/7. Suppose -i - y = -v*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let x(g) be the first derivative of 2 - g**2 + 0*g**2 + 0*g**2. Determine p(x(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1192 - -2037. Suppose -3*q = -2*d + 4*d - z, 2*d = -10. Suppose -3*y + q = 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/4 in -1, -0.1, 2\/55, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*d + d. Let a(r) = -25*r**3 + 14*r - 4. Let c(j) = -j**3 + j - 1. Let i(x) = d*a(x) - 4*c(x). What is the second derivative of i(n) wrt n?\nAnswer: -126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 5. Let x(c) be the third derivative of -c**5\/60 + c**3\/3 + 278*c**2. Give -2*w(a) - 5*x(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 3729\/(-1815)*-11\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2223011 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 19*x**2 - 42*x + 2. What is the units digit of d(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26029344 and 119301160.\nAnswer: 1431613920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 + 5)*(296*c**4 + 213*c**3 - 85*c**3 - 128*c**3) in the form s + i*c**2 + b*c + d*c**3 + t*c**4 and give t.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1275, -5064, -11421, -20346?\n\"Answer: -1284*o**2 + 63*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14783732534.4499 take away 6?\nAnswer: 14783732528.4499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -191555?\nAnswer: 19155a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 + 1 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2. Let t(k) = 11 + 0*k**2 - 13 + 2*k**2 - 2*k + 2*k**3. Suppose 32 = l - 5*p + 6, 2*p = -5*l - 5. Give l*t(r) + 2*w(r).\nAnswer: 2*r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.01, 39673, -2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 125*x**4 - 2900*x**3 - 13530*x**2 + 19260*x - 6075 = 0.\nAnswer: -5, 3\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -18, -41, -94, -189?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*v - 352*z + 356*z, 0 = 5*v - 4*z + 138. Put v, 1, 4, -2, -1 in increasing order.\nAnswer: v, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -7*l - 2*p + 5754, 0 = -5*p + 10. Suppose 30*v - 25*v - l = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 501*k**2 - 15 + 8 - 26*k + 174*k**2.\nAnswer: -327*k**2 - 26*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -117*s + 36. Let h(d) = -29*d + 8. Let x(n) = 9*h(n) - 2*v(n). Let w(f) be the third derivative of -f**5\/30 + 4*f**2. Calculate w(x(g)).\nAnswer: -1458*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2633*q + 1383*q + 1471*q)*(2 - 3 - 1) + 1 + q - 1)*(-3*q + 2*q + 3*q).\nAnswer: -882*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -17, 1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 18. Suppose m - 357 = h*k, m - 362 = 6*k - 8*k. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(8*x - 4*x + 0*x)*(-29 - 31 + 64)*((-x**3 - x**3 + x**3)*(3*x + 0*x - x) + (-x + x + 2*x**4)*(3 - 3 + 2)).\nAnswer: -32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/2? (a) 7 (b) -0.3 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Let t = 15 + -29. Let m(o) = -o**2 - 15*o + 10. Let v be m(t). Solve 4*s - 2*h = -h + v, -4*s - k*h = -4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 - 4*c**2 + 17*c + 4. Let r(x) = x**3 - x**2 + 6*x + 1. Let s(p) = -4*g(p) + 11*r(p). Let b = 275 + -147. Let o = -124 + b. Determine s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1036086 and 6906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 + 54*h - 16. Give t(-12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -2*i + 4*l + 14, -4*i - l - 7 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = j - 5*j + 8, 0 = 2*k - 2. Let m(z) be the first derivative of z**4\/4 - z**3\/3 - 3*z**2\/2 + 3*z + 1. Give m(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 9832 - 27038. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 560 - 557. Solve 7 - 22 = 5*d + 5*q, -l*q = d + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 2, 7974, -95 in descending order.\nAnswer: 7974, 2, -3, -15, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1678108088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91500, 91459, 91380, 91245, 91036, 90735, 90324, 89785?\nAnswer: 89100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/w**(2\/9))\/w*w**6\/w)\/(w*w*w**(-1\/3)*w*w**6*w*w))**(-20))**(-39) assuming w is positive.\nAnswer: w**(-11440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.34 or -4?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114199189?\nAnswer: 13, 8784553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s + 54. What is the highest common divisor of 135 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:35 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -10359, 1697?\nAnswer: 1697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-255)\/40*(-44)\/3. Let v = 384 + p. Sort v, -2, 0 in decreasing order.\nAnswer: v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74929 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 3cbbb?\nAnswer: -3cbbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -7 + 6 + 4 + (0 - 11) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 5*f - 3. What is the remainder when (107 - 94 - (-110)\/(-8))\/((-3)\/416) is divided by d(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596114 to the power of 1\/2, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1548 and 1448068?\nAnswer: 13032612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73009, 138813, 204617, 270421, 336225, 402029?\n\"Answer: 65804*n + 7205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*d - 10, -7*a - 5*d + 37 = -4*a. Suppose 1 = a*h - 15. Calculate the remainder when 14 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6173?\nAnswer: 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 0.04, -0.2, -0.4566 in ascending order.\nAnswer: -3, -0.4566, -0.2, 0.04, 9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/21572746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -221*b**4 + 3*b**3 - 664*b**2 + 5*b - 10. Let y(t) = -t**4 - t**2 + t - 2. Let m(z) = 2*j(z) - 10*y(z). What is the third derivative of m(n) wrt n?\nAnswer: -10368*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*l = -105, -l - 315 = -3*n + 3*l. Let w(r) = 4*r**2 + 3*r + 2. Let d be w(-4). Let f = 81 - d. Calculate the remainder when n is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 - 4*i**3 + 4*i**3 + 1 + 3*i**3 + 8*i**2 to u*i**3 + k + t*i**2 + a*i and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-29)\/140 + (-31)\/(-186) and -101\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 9. Let r(z) = 3*z - 5. Let g(s) = 8*s - 11. Let a(v) = 17*v - 22. Let i(h) = 2*a(h) - 5*g(h). Give u*i(b) - 13*r(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/45*(-4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004320143 rounded to 6 dps?\nAnswer: -0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y + 9. Suppose -4*l = -2*a + 34, y*a = 5*l + 16 + 40. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let c(t) = -2*t - 10. Let v be c(-7). Suppose -3*p - 1 = -v. Let x(y) = -1 + 2*y + p. Calculate x(o(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 90 = 23*q. Is -91 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -837 and -98.49?\nAnswer: 82436.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4054 rounded to two decimal places?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252840 rounded to the nearest ten thousand?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 11*x + 8. Let g be j(4). Suppose g*h - 3*h - 3105 = 0. What is the greatest common factor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 40\/49, 0, -6.7, 0.1, 10, 3\/5?\nAnswer: 40\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 54182 = -54227. Which is the biggest value? (a) 2\/9 (b) z (c) 4.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 54\/5 of a kilogram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.4 + -10.6. Let s = -1166 + 1120. Let m = z - s. Which is the third biggest value? (a) m (b) 1 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/60 + h**4\/4 + 5*h**3\/6 - 4*h**2. Suppose -g - 9 = 3*l - 4*g, -g - 1 = -3*l. Suppose 0*z + l*z = -12. Give t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 8) to base 9.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/15, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 15) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2603 + -1340. List the prime factors of g.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5*p**2 - 5*p)*(-11*p - 13*p + 20*p).\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -186) + (-1 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1\/4*b**4 + b**3 - b - 3\/2*b**2 + 3. Give w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v**2 - 26*v**2 + 85*v**2 - 29*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 - 28*g**2 + 840*g + 864 = 0.\nAnswer: -18, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*0\/(-2)*(-6)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 13*p + 1. Let j be a(13). Let d be (-1 - j\/(-5))*-5. Solve 5*v + 16 = -0*u - u, -24 = -d*u + 2*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbc when three letters picked without replacement from fbrbqbrcfrqcr?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/7033988 and 65\/327624?\nAnswer: 464243208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1211 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (11 - 10 - (3 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(21 - 0) + (751680\/448)\/29.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336000*b**3*k*v**2 - b**2*k*v**2 + 3*b**2*k*v - 72*k + 483*v**2 wrt b?\nAnswer: 2016000*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/150 - 2*u**4\/15 - 28*u**3\/5 - 3*u**2 - 140*u. Solve f(y) = 0.\nAnswer: -6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**3 + 4*a**2 - 4*a + 37. Let g(z) = -z**2 + z - 2. Let b(f) = c(f) + 4*g(f). Differentiate b(d) with respect to d.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times -9128.2?\nAnswer: 1898665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**3*l**2 + c**3*l*y**4 - 37*c**2*l**2*y**4 + 2*c*l**2*y**2 + 2*c*l**2*y + l**2*y**2 wrt y.\nAnswer: 24*c**3*l*y - 888*c**2*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (31\/7 + -4)\/(12\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23796985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -305 + 1030. Let t = g + -406. What are the prime factors of t?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4675*k**2 - 722399*k - 157. Calculate i(160).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.000318, -7\/4 in increasing order.\nAnswer: -7\/4, 0.000318, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 11*v + 0*v**2 - 8*v. Let t be n(2). Let y(k) = k**3 + 6*k**2 + 2. Let o be y(t). Solve 9 = 7*u - o*u - 4*q, -4*u + 5*q + 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 202499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/16*1386\/(-189))\/((-4)\/16)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**28*d**(-11))\/(d\/(d\/((d\/(d\/(d*d**(-6\/11))))\/d)))**14 assuming d is positive.\nAnswer: d**(271\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (13 - 19)) + (2 - -21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.951725 rounded to three dps?\nAnswer: 5.952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -703?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -47. Let f = -10 + n. Let o(c) = c**3 - 13*c**2 + 80*c - 351. Let k be o(9). Calculate the highest common divisor of k and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*p + 621*p - 263*p = -20976 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 200.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:35 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/27*(21\/20)\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 93. Suppose 5*p - h = p. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24822, 23842, 22208, 19920, 16978, 13382?\nAnswer: 9132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -18608*c**3 + 8*c**2 - 40*c - 43. Calculate the remainder when i(-1) is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 11 - 23. Suppose -p*v - 4*h = -10, 0 = -2*v + 3*h - 2*h + 3. Solve -3*y = -0*y - v*f - 11, -12 = -2*y - f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -82, -132, -188, -244, -294, -332, -352?\n\"Answer: h**3 - 9*h**2 - 30*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + -2*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 654*s**2 - 112*s + 14. Let k(g) = -218*g**2 + 36*g - 4. Calculate -7*k(q) - 2*o(q).\nAnswer: 218*q**2 - 28*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c - 6*c + 11*c + 2*c + 4. Determine b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40589.42 weeks to hours.\nAnswer: 6819022.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890532.\nAnswer: 2, 3, 29, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7267*j**4 - 10229*j**2 wrt j?\nAnswer: 174408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 5*l - 30 = 0, -5*f + 21 = 4*l. Suppose 0 = n - f*n, 3*n = 5*q + 20. Calculate the remainder when 87 is divided by 22 + ((-12)\/q - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.4. Let i = -10.808 + 0.008. Let s = i - -11.8. Which is the nearest to s? (a) 7 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyl. What is prob of sequence yj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (13 - (16 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1) + (-1 - -8). Suppose -4 = -y + b. Calculate the greatest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 3*a. Determine i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2386193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 = 3*s - 42*i, 5*s + 1820*i - 1818*i = -42 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.5 + -4.3. Let x = 12\/7 + -29\/21. Which is the nearest to 0? (a) 5 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-5) - (-1701)\/(-135)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15206 and 37?\nAnswer: 562622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l - 39. Let v be g(4). Let d = v - -196. Calculate the remainder when d is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5301*j + 8276 = 137065 + 194572 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3 - 5. Determine a, given that 2*a**3 + 8*a**2 - 7*a**2 - a**g - 2*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/207 - 424\/1035. Which is bigger: 47 or p?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*w + 888 = -w, w - 446 = -2*q. What is the highest common factor of 720 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89261 is divided by 261.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-628)\/157)\/(8\/7)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2768, -5524, -8290, -11072, -13876?\n\"Answer: -j**3 + j**2 - 2752*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 14, 28, 44, 62, 82, 104?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) - (-262)\/14. Let h = 13 - q. Let s(d) = -d**3 - 7*d**2 - 7*d - 6. Calculate s(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 4*j - 1. Suppose 10*k + 6*k - 48 = 0. Let y(w) be the third derivative of -1\/24*w**4 + 0*w + w**2 + 0 + 1\/6*w**k. What is -a(p) - 2*y(p)?\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366 and 22?\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Suppose l = -5*r + 15. Find the third derivative of 0*n**2 - 2*n**3 - 3*n**2 + n**r wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*l + 1412*l - 870*l - 676*l.\nAnswer: -551*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 0. Suppose 34*n = -976 + 1112. Which is the nearest to 0.1? (a) -2 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12525 is divided by 2963.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20\/35 + (-8300)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*o = -171*o - 140076 for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2243 rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158922 and 0.24.\nAnswer: 38141.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-399)\/(-49) + (-48)\/(-56)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(2*m - 5 + 5) - 3 - 2*m + 3)*(0*m + m - 3*m + (-1 + 2*m + 1)*(2 - 2 - 2) - m + m - m).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {d: 1, x: 12, c: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-3.9.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 - 128*l**2 - l + 21. Give j(32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1073\/18 - -532\/9. What is the closest to p in 0, -985, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422222 (base 11) in base 12?\nAnswer: 28753a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3495072662 rounded to the nearest 1000000?\nAnswer: -3495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and -84*(-25)\/((-2275)\/(-26))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 + 4*h - 3. Suppose -n - i - 2*i = 4, 2*n = 5*i - 19. Let b = -4 - n. Suppose -c = -4*u + 8, -u - 4*c + 28 = b*u. Determine v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23544964242790031 - 23544963964386209.09999971. Let z = 278403816 - g. Let j = z - -5.9. Round j to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281\/1102 - -5334377\/1653. Let z = -3205 + n. Let l = 676735\/146754 + -2\/8153. What is the common denominator of z and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 2*p**3\/3 + 11*p**2 + 28*p - 1. Let g be u(-4). Suppose -9*j + 393 = -g*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(88) - (-1*sqrt(88) + sqrt(88))))\/sqrt(8).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5)\/2 - (-12)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -243 and -244 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -h - 78, 3*h = h - 4*w - 144. Let a = h - -68. Solve -a*x = -4*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - o + 2*o + (-1 - 2 + 1)*(-3*o + 5*o - 4*o) + 8393 - 4199 - 4195 - 2100*o to the form l + q*o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -51. What is the highest common divisor of 264 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 362, 896, 1644, 2606, 3782, 5172?\nAnswer: 6776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -36 - (-9 + 73)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 take away 27777995.5?\nAnswer: -27778082.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/72 and -95\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = -2*n, -2*n - 2*n - 22 = 3*a. Let v be 23\/7 - n\/(-14). Sort 4, 1, v in decreasing order.\nAnswer: 4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -80*f + 1039. Determine o(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*j**3*s**3 - 5*j**3*s**2 - j**3*s + 2*j**2*s**4 wrt s.\nAnswer: -144*j**3 + 48*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834756081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + 149*o + 1251. What is a(-10)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = 2. Let a(d) = d**3 + 4*d**2 - d - 2. What is the remainder when a(v) is divided by (-5)\/((-3)\/5 - (-21)\/60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/2814 or -1?\nAnswer: -11\/2814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 + 524806*o + 68855334409 = 0.\nAnswer: -262403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35665882 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**6\/80 - s**5\/30 - 17*s**4\/48 + s**3\/2 + 7*s**2\/2 + 11. Let x(c) be the second derivative of n(c). Factor x(j).\nAnswer: (j - 3)*(j + 2)*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 66270247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b + 10. Let i be h(-11). Calculate the greatest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.48 + -0.02. Let l = -0.66 - 0.1. Let q = -0.65 - l. Which is the second biggest value? (a) q (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -235, -1100, -2587, -4696?\n\"Answer: -311*j**2 + 68*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 46*s - 168. Calculate the remainder when 468 is divided by g(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27\/13 + -217\/117. Let a = 19\/45 - u. Factor 1\/5*c**4 + a*c - 1\/5*c**2 + 0 - 1\/5*c**3.\nAnswer: c*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*sqrt(77)*2)\/sqrt(11) + (6*sqrt(49)\/(sqrt(7) - 3*sqrt(7)))**2)*-1.\nAnswer: -58 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2 + -2?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-19) - 8\/(-76). Factor 3\/5*c**5 + b*c + 0 + 0*c**3 + 0*c**2 - 9\/5*c**4.\nAnswer: 3*c**4*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 + 95*z - 371. What is x(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {n: 4, f: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 9*a - 2*a + 3*a + 6*a as z*a + w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -w + 4*w - 968, -2*k - 4*w = 462. Does 40 divide k\/(-3) + (-3)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55, -110, -211, -352, -527, -730, -955, -1196?\n\"Answer: t**3 - 29*t**2 + 25*t - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 37004?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1192606 = -35*w + 1192536 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -84*z + 80*z - 2*r - 2*r, 5*r + 1 - 31 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-21))\/(14\/((-17150)\/(-105)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041856634 to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-12) - 3\/12. Suppose k*n - 9 = 9. What is the remainder when 35 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**3 + 2*m + 1. Let b be k(-1). Suppose -2*v - 2*v - 2 = -d, -b*d + 5*v - 5 = 0. Let f = 0.689827 + 12.310173. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*(-130)\/(-208)*1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219326 by 2.\nAnswer: 109663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31540 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228 at least as big as 4358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44475*p - 5*o = 44477*p - 31, -4*o + 28 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 2 = 16*x. Is 10 a factor of 6\/5 + x - 4370\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/204 - -593\/612. Is 0 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let i(l) = -l**3 + 2*l**2 + l - 2. Let j be i(2). What is the nearest to j in -5\/3, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1611985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -10*w - 2. Suppose -w*i + 5*i = -162. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 + 1)\/(-4) + 7. Suppose -q - 1 = -z. What is the third derivative of -j**2 - 2*j**q - 17*j**4 - 18*j**2 wrt j?\nAnswer: -408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.259 from -0.2.\nAnswer: -0.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (-139 - (-5461)\/43)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 8 - 8)*(3 - 5 - 1)*(-4*n + 5*n - 3*n).\nAnswer: 54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**4 - 2*d**2 + 6. Let o = 21 - 19. Let y(a) = 1 - 3*a**2 + 0*a**2 + 2*a**o. Let p(x) = -h(x) + 6*y(x). Factor p(w).\nAnswer: 4*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124015.081 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311945 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 13, 26, 45, 70?\n\"Answer: 3*r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = 15*o - 90427. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzzrhhzhzrzhzhhz. Give prob of sequence zrhz.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + (-10 - 10))*4\/6. Put 1, 2, l, -21 in ascending order.\nAnswer: -21, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1 - 0 - 0). Let x be 3\/(-4) - 9\/4. What is the closest to o in -1, 3, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23937 divided by 3.\nAnswer: -7979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 410*v**2 - 7900*v - 39000.\nAnswer: -(v + 10)**2*(v + 390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53148 is divided by 5753?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + 4.92. What is the closest to -2 in x, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 14*l + 13. Let q be g(12). Differentiate 2*h**3 + q*h + 94 + 61 - 1 with respect to h.\nAnswer: 6*h**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2223341 (base 5) to base 13\nAnswer: -14b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32301349 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 3307711.\nAnswer: -3307710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 218.02351 + -27\nAnswer: 191.02351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 - 6*n - 3. Let g be j(-5). Suppose 3 - 5 = -d. Find the second derivative of -61*m - m**g - 16*m**5 + 52*m + m**d wrt m.\nAnswer: -320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 20, 431, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.189 + -0.189. Let b = 2.06 + -0.06. What is the biggest value in 2\/7, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-27)*9\/(-2). Suppose -o*u - 5*c + 1 = 0, -u - 3*c - 3 = 2*u. Let a be 3 - (u - 7*-2). Is -7 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x + 58*x + 291 = 17*i, 2*x - 3*i = -105 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/4, 0.4, 0, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 9) to base 11.\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmx when three letters picked without replacement from ypaxnxpm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 - 80*i**2 - 3. Let v be j(-20). Let x = -0.42 - -0.22. What is the closest to -0.1 in 4\/5, x, v, 0.26?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 29*f = -10. Let m(y) = -20 + 11*y**f + 11*y**2 - 21*y**2 - 5*y. What is the hundreds digit of m(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 100*y + 364. Let s(r) = -7*r**2 + 227*r - 728. Determine 9*q(m) + 4*s(m).\nAnswer: -m**2 + 8*m + 364","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssesses. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 3*q**2 - q**2)*(q + q - 3*q) + q**2 + 2*q**3 - q**2 + (-3*q + 3*q - q)*(0*q - q**2 + 0*q) + q**3 + q - q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8\/(d**(-7)*d)*d**(1\/11)\/(d\/(d*d**(3\/2)\/d*d*d*d)))**(-22\/3))**2 assuming d is positive.\nAnswer: d**(-258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4 + 84*n**3 - 279*n**2 + 12*n + 372 = 0.\nAnswer: -31, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 27 - 7. Suppose 2*d + 14 = -2*a, -5*a - w*d - 33 = -0*d. Suppose 3*u = 3*r + 3, 4*r + 27*u = 22*u - 4. Is a < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2.2 (b) -3\/8 (c) 2.6 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, s: 1, m: 4, u: 8}. Give prob of sequence gg.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 138*w - 1703. Give x(-123).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)*(-3)\/(-6). Suppose 12 = -d - a. What is the units digit of 4\/(-18)*3*d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 52 = -0*u. Calculate the greatest common factor of u and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4851 (base 13) in base 9?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let w(s) = 0*s**2 - s**2 + 9 - s - 2*s + 4*s. Determine w(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1087 - 560. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3401.19318 to zero dps.\nAnswer: -3401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/23699 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/177662 and 95\/2.\nAnswer: 177662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:56 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 15) to base 14\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 14*p = 4. Let k be (6\/18)\/(p\/12). Let w(h) = -5*h. What is w(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (372\/7)\/(24\/112). Calculate the highest common divisor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 606366 and 29222.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54913 - 31558. Does 135 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41241, 82503, 123767, 165033, 206301, 247571?\n\"Answer: b**2 + 41259*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 154?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020745 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(b - b + b) - 2*b + b - b + (-4*b + 5*b - 3*b)*(-4 + 4 + 2) + 2*b - 2*b + 3*b - 1 + 1 - 2*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 10*s + 18. Let z be y(9). Let f(x) = -5*x - 17. Let a = -20 + 11. Let b be f(a). Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85570 and 7548070?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*l - 153*l - 5 - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -482.38 + 481.98. Suppose 2*j = -5*r + 4*r + 17, -5*r + 53 = 2*j. Suppose -h = -4*h + r. Sort -0.2, n, h.\nAnswer: n, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4964*a + 15745 = 4729*a for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1140320 (base 5) to base 9\nAnswer: -32235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 80 = 696. Let g = -9 - -16. What is the greatest common divisor of g and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*-1 - 6*sqrt(19)*2.\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2474089 <= -2474088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10681 + 10680.5499. Let r = u - -0.45. Round r to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/27*3*6. Let z be j\/32 + 218\/8. What is the greatest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108597 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/40 and (436\/64 + -7)\/((-632)\/(-368)).\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**3 + f - 9*f**3 + 6*f**2 + 21*f**3. Determine k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 49. What is the tens digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/448 and -163\/336.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 4*b - 8. Let y(s) = 3*s**2 - 4*s - 7. Let v(r) = 2*n(r) - 3*y(r). Suppose -5*d = -10*d - 2*q + 17, 4*q + 11 = -d. What is v(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104339?\nAnswer: 103, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*n + 3. Suppose 4*q = -3*a + 21, -q - 3*a - n = -5*q. Let p = 0 - -4. Solve 8 = q*u - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 + 9 = 0. Suppose -2*u + 3*i = -i - 32, -3*u = 3*i - 57. Calculate the remainder when u is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 448 + -452. Let b(z) = -14*z**2 - 34*z - 44. Let d(i) = 5*i**2 + 11*i + 15. Let m(v) = a*b(v) - 11*d(v). What is m(-12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64817\/18 - -3602. What is the common denominator of j and 24\/5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7 - 9*o - 3*o + 35*o + 13*o**2 - 14*o. Let c(r) be the second derivative of 0 + r + 5\/6*r**3 - 2*r**2 + 7\/12*r**4. Calculate -11*c(n) + 6*l(n).\nAnswer: n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/42099 and -143\/12.\nAnswer: 168396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 63. Let m be z(-22). Let h be (0\/(m\/(12\/4)))\/2. Solve h = -4*r + 9*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117127494.4452494 - -117127517. Let x = p - 21.62476. Let q = -0.93 + x. Round q to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91\/4? (a) -4 (b) 3 (c) 0.3 (d) -3 (e) 0.286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 3:21 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*n + 36 = 286*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 2*m**4 + m**4 + (m**2 - m**2 - m**2)*(0*m - m**2 + 0*m) + 2*m**4 - 4*m**4 + m**4 + 10 - 2*m**4 - 10 + 3*m**4 - 3*m**4 - 2*m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/56 + (-39915)\/(-21). Let x = -994 + l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97 - 55 + 34)*(0*y**3 + 3*y**3 - 2*y**3)*(15 + 9*y - 15) to the form n*y + f*y**3 + d*y**2 + x*y**4 + l and give x.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -72?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/8 + g**3\/3 - g**2\/4 - g + 59. Factor t(j).\nAnswer: (j - 1)*(j + 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 7. Suppose 19 + 269 = 21*g + 27*g. Which is the nearest to 1? (a) 3\/4 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -x, t + 2*x = 4*x - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5197 times -0.39\nAnswer: 2026.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/99, -318, 0.4, -1851 in ascending order.\nAnswer: -1851, -318, -1\/99, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Let n(p) = -3*p + 37. Let q be n(16). Let i(x) = -x**3 - 12*x**2 - 14*x + 9. Let z be i(q). What is the greatest common factor of w and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 1679*r\/3 - 8320.\nAnswer: -(r - 1664)*(r - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 5 (c) -1 (d) 3 (e) -7 (f) 2 (g) 1479\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3876 and -65\/414732.\nAnswer: 414732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 5*w**2 - 5*w + 3. Let p be b(-5). Suppose 0 = 2*y + 6 - p. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12473181680 from -9544.\nAnswer: -12473191224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 276. Calculate q(-41).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(-1)))**(8\/9)\/((y*y*y*y**(3\/5)\/y)\/y*y*(y*y**2*y*y)\/y) assuming y is positive.\nAnswer: y**(-217\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**2 + 2\/3*k**3 - 1\/8*k**4 + 0*k + 1\/30*k**5 + 0. Is 12 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-461444)\/(-72) - -2 - -4. Let n(b) = -b**3 - b**2 + b + 6421. Let o be n(0). Let m = o - g. Find the common denominator of m and 13\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 1 - 14 + 23 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*x + 29 + 46 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -n + 2*v, -5*n + 11*v = 10*v - 429. Calculate the highest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*m**4 - 7206*m**3 - 157428*m**2 - 477920*m + 149568 = 0. Calculate m.\nAnswer: -492, -19, -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-15) - 41\/(4305\/(-14))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o**4 + 9*o**2 + 7075*o**5 + 39*o**3 - 7076*o**5 + 2*o**4 - 162*o = 0. Calculate o.\nAnswer: -9, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -399147\/8 + 49893. Let a be 3 + 1\/(0 + -1). Suppose -a*d = -d. Is j less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - -2*sqrt(612)) + 2)*-4)**2*3 + -5.\nAnswer: 3456*sqrt(17) + 264571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -80. Suppose 5*j = 3*j + 12. Let h be 2\/j - 754\/(-6). Calculate the greatest common factor of h and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19669502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r + 11. Let o(v) be the second derivative of v**3\/6 + v**2\/2 - 3*v. Let d(f) = -44*o(f) + 4*q(f). Let x(s) = 2*s**2. Determine d(x(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-354)\/9381)\/((-2)\/(-2)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 71, 110, 149?\n\"Answer: 39*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 > -80\/267067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-368)\/56 + 6)\/(-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/4411 and (-33)\/((-6006)\/(-104)) + (32752\/14035)\/4.\nAnswer: 22055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727025*z - 49*z**3 + 727025*z.\nAnswer: -49*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -65, 5.\nAnswer: -65, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 10*s - 3*s - 3*x - 21, 4*s - x = 7 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -59. Let z = 0.049 + -2.349. Let p be (2 + -2)\/(2\/2). What is the fourth biggest value in z, p, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 16*w + 20 = 0, -3*o = -4*w - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, z - 30 - 5 = 4*d. Which is smaller: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1486*x**2 - 3528*x**2 + 6257 - 1071*x**2 wrt x?\nAnswer: -12170*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*q**3 - 4*d**3*q**2 - 1053*d**3*q + 2*d**3 + 8*q**3 wrt q?\nAnswer: -12*d**3*q - 8*d**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 99*q**2 + 201*q - 938. What is j(97)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4 + 9*q**3 + 90*q**2 - 384*q + 288 = 0.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i. Let s(k) = 6581466*k**2. Give s(g(u)).\nAnswer: 164536650*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1562455*s**4 + 2*s**2 - 1094398*s - 1 wrt s?\nAnswer: 37498920*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*y - 9 = 0, 5*y = 15 - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-14) - 112390\/(-14). Let u = t - 611. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -75. Which is the nearest to 2? (a) 0.1 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -37, -67, -107, -157?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 1337.\nAnswer: -1336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2106*s = -2095*s + 33 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -2*o**5\/55 + 3*o**4\/11 - 26*o**3\/33 + 12*o**2\/11 - 8*o\/11 - 22. Factor c(n).\nAnswer: -2*(n - 2)**2*(n - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + -15. Let w(a) = 40*a**2 - a. Let d be w(-1). Let i = v + d. Solve -3*f = f - i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 5, -24, 913, 0 in ascending order.\nAnswer: -24, -4, 0, 4, 5, 913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -31. Suppose 6*v - 93 = p*v. What is the highest common divisor of v and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17296912 to the power of 1\/2, to the nearest integer?\nAnswer: 4159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 103*t**3 + 68*t**2 - 384*t + 61. What are the prime factors of f(6)?\nAnswer: 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383827 is divided by 291.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6874559 is divided by 1008.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 36\/3*6417. Round r to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -73.\nAnswer: -14\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38547277 at least 38547275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -46) + -45 - -29?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 16*x**2 - 17*x - 120. Is 9 a factor of w(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (124 + -84 - -20)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11454861 divided by 313.\nAnswer: 36597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 6*m - 24. Let h(t) = -3*t**2 - 19*t + 72. Let v(x) = -2*h(x) - 7*p(x). Let c be v(-6). Solve -5*k = -5*i, i - 6*i + k - c = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + w + 798 = 0. Let p = -18 + 29. What is the remainder when w is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 - 3*q**2)*(3*q + 3*q + 0*q) + (q**2 + 2*q**2 + 0*q**2)*(-6*q + 2*q + 3*q) + 2*q**2 - 2*q**2 + q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 + 101. Let m = w - -84. Which is smaller: m or 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 217 - 47 = 0. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010101110010011000 (base 2) to base 9\nAnswer: 585006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234 - -352. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7694.17 centuries to millennia.\nAnswer: 769.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (-11 - 16 - -16)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 4)*10\/(-8). Suppose -5*s = 2*c - 0 + 2, m*c + 5 = -4*s. Suppose s*o = 3*o - 69. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060531023 to 5 decimal places.\nAnswer: -0.00605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (184\/(-874))\/(36\/1710)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g = 50*g - 119. Sort 2, g, -3 in decreasing order.\nAnswer: g, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281836003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25719278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 23\/4, 5, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(54\/4))\/(2\/15). Suppose 3 - 15 = -4*j - p, -2*j + 6 = -4*p. Solve 2 - b = -j*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123242 (base 6) to base 4.\nAnswer: 2231222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-45) + (-158)\/6. Let w = 34 + k. Solve 3*s - x + w = x, -4*x = -3*s + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*b - 2*d + 28 = -163*b, 0 = -b - 0*b + 2*d - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2434 and 2530143.\nAnswer: 5060286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208868 and 9999.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 768. Let t(u) = -5*u + 775. What is -6*f(o) - 5*t(o)?\nAnswer: -5*o + 733","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soogogd. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, d: 2, q: 1}. Give prob of picking 1 q and 1 d.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -189, -197, -215, -249, -305?\n\"Answer: -q**3 + q**2 - 4*q - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) -2\/11 (c) 13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u. Let w(b) be the third derivative of 22*b**5\/15 - 141*b**2. What is w(p(s))?\nAnswer: 1408*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/243? (a) 1 (b) -2.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 15*k + 51. Let d be h(-19). Let u be 7\/14*5\/d*-5. Let g be 2\/(-4) - 28\/(-8). What is the third smallest value in g, 0.3, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262.9*-121\nAnswer: 31810.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 1.8, 2, -0.1?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -8\/375, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7377*w**3 - 7431*w**3 + 14810*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*s - 2, s + s - 2 = 2*k. What is the hundreds digit of ((k + 2)*-5)\/((-3)\/42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*c - 86 + 73, -3*t = -3*c - 15. Let v(a) = 3*a**2 + 4*a + 2. Calculate the least common multiple of v(-2) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 8776*v - 8766*v + 7*v**2 + 17542*v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 + 51 - -23) + (-7 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8. Let q = 11849\/18 + -659. Let o = q + 1\/18. Which is the nearest to 2\/7? (a) r (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77566 = 32*t + 32456 - 242250. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 39, 57, 73?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -3, 4, 11, 18?\n\"Answer: 7*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -10, r + 4*v - 24 + 3 = 0. Let s = -11523\/60302 + 150\/2741. Calculate the common denominator of s and 0 + ((-63)\/(-26) - r).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-869)\/(-1027))\/11.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 18*r + 86. What is the least common multiple of i(5) and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4048 - -6219. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 534 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1171 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 339312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 136 (b) -0.2 (c) -0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13956079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -118 (b) 0.14 (c) -4 (d) 5 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -5\/17 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(15) - sqrt(240)) + sqrt(15)) + sqrt(15))\/(sqrt(33)\/(sqrt(11)*-2)))**2 + (sqrt(300)\/(sqrt(12)\/sqrt(2)))\/(sqrt(90)*-1).\nAnswer: -sqrt(5)\/3 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 836 - 808. What is the remainder when 173 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/4 + n**3 + n**2\/2 + 5*n + 2. Suppose 2*v + 5*r = -7, -r + 5 = 8. Give g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137 is divided by ((-1305)\/(-21) + -3)\/((-51)\/(-238)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let p(g) be the second derivative of -4*g**3 + 6*g. Determine p(s(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*f**2 - 7*f**2 - 28*f**2 - 76*f**2 + 5 - 2*f - 4 in the form w*f**2 + z*f + g and give w.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(31\/(-186))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -40912.3\nAnswer: -204561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 194*p - 11. Let n be g(13). Let r = -1686 + n. What are the prime factors of r?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.3838846242 and -8.\nAnswer: -9.3838846242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101866 and 1272?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/1*(27\/(-6))\/(-9). Let q(l) = -l**3 + 11*l**2 + 29*l. Let i(k) = k**2 + 9*k. Let b(h) = -4*i(h) + q(h). Determine b(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 359733 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 33. Suppose -20*w + 23*w = v. Let f = w + 16. What is the greatest common divisor of f and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 5*t - 2, 2*t = 50*f - 45*f - 14. Let l(w) = -w + 1. Let o(m) be the third derivative of 2*m**3\/3 + m**2. Calculate t*l(v) + o(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*l**3 - 2*l**2 - 34*l - 3?\nAnswer: 366*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 16 = h. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5730?\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -7 + 1 + (41 - 39) + 4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*h - 1776 - 6006 = 1518. Calculate the remainder when 108 is divided by h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 344762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122613469 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**7\/105 + q**6\/60 + q**5\/30 - q**4\/12 + q**2\/2 - 7. Let x(n) be the second derivative of s(n). Let x(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 2)*(-p**3 - p**2 + p**2 + (2*p + 4*p - 4*p)*(54*p**2 + 105*p**2 + 18*p**2)) to x + q*p**2 + d*p + g*p**3 and give g.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -48*w + 83. Give u(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 60*n = -1898. What is the remainder when 26 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 78 = -748*z + 1476*z - 727*z, -2*z = -n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625 - 497 = -32*a. Put a, 1\/4, -2\/83 in descending order.\nAnswer: 1\/4, -2\/83, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:30 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -474729*v**2. Let o(l) = -l**2. Determine o(p(c)).\nAnswer: -225367623441*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -416*t**2 - 113*t - 822. Let g be p(-42). What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than or equal to 1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.5. Let m(u) = u**3 - 12*u**2 + 10*u + 9. Let x be m(11). Let s be (x + 7 - 4)*(-6)\/(-27). What is the closest to s in 1, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 12*r**2 + 3*r - 129. What is w(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1. Let u(c) = c**3 - 3*c**2 + c + 4. Let j(y) = 5*m(y) - u(y). Let t be j(2). What is the highest common divisor of 33 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306512, 2452173, 8276118, 19617491, 38315436?\nAnswer: 66209097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924324 is divided by 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 5*x - 165 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 5*p + 0*p + (-3 + 6 - 4)*(-1 + 1 + p) - 5*p + 3*p + 4*p + 54*p + 532 - 532 + 0*p + 0*p + 3*p)*((p - 3*p + 3*p)*(-5 + 4 + 2) - 11 + 11 + 8*p).\nAnswer: 531*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.011 - -28. Let j = -29.99125 - -30. Let y = o + j. What is y rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 4366488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7669.5 + -7670. Which is the third biggest value? (a) -0.05 (b) v (c) 41 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*j + 4*g, 3*j - g + 3*g - 30 = 0. Solve 6*b + 5*f + 12 = 2*b, -2*f = j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g + 1. Let w be o(-2). Let p(f) = -3*f**3 + 4*f**2 + 4*f + 3. Let k be p(-2). Let v = k + w. Solve m = -1 - 2, -5*q + 5*m = -v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**3 - 8*n + n**3 + 10 + 3*n**3 + 4*n**2 + 5. Let l be j(-7). Suppose -2*b - 4*i = -b - l, 2831 = 3*b + 5*i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (87*j**3 + 0*j**3 - 13*j**3)*(68*j + 99 - 99) to the form t*j + h*j**2 + f + l*j**3 + z*j**4 and give z.\nAnswer: 5032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**2*p + 135*l**2 - 6*l*p - 912*l + 2*p wrt l?\nAnswer: 14*p + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-135)\/(-10)*(-2)\/(-3). Suppose 3*s - o = -0. Suppose -s*p + 30 = 2*a, 0 = 5*p + a - 4*a - 50. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.7, 17, 10?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*p**4 - 2*p**3 + 5443341*p**2 - 2*p - 859334.\nAnswer: 84*p**2 - 12*p + 10886682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 235, 4, -4, 5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in -2\/9, -0.06, -16, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61169 is divided by 264.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 9*g**2 + 432.\nAnswer: (g - 12)**2*(g + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2 - 4*k - 1. What is h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 647699540 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2703\/159*(-180)\/(-68).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a95dd + 9?\nAnswer: 8a95e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 122. Let u(s) be the third derivative of 0 + 0*s + 34*s**2 - 1\/60*s**5 - 7\/24*s**4 - 1\/3*s**3. Give u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 964*o**5\/5 + 25*o**3\/3 + o**2\/2 + 164. What is the third derivative of w(b) wrt b?\nAnswer: 23136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*h + 7149 = 442*h. What are the prime factors of h?\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/12)\/(-5)*3*2369\/103?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/12)\/(255\/34)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 10*n**2 + 11*n**2 + 0*n as p*n + u*n**2 + d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51658134 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 - 3*f**5 - f**5 + f**5 - 3*f**5 + f**5 + (-2*f - 3*f + 6*f)*(-3*f**3 - 2*f**4 + 3*f**3).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 11 + 53 + 2*r.\nAnswer: 2*r - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.25 - -0.05. Let y = k - -4. Which is the third smallest value? (a) 0.3 (b) y (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 33030844?\nAnswer: 33030844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/2)\/((-18)\/(-36)). Suppose 5*r - 3098 = -3*v, -b*r + 36 = 32. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-6)\/16*(-21)\/(630\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 439661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 14*s - 4*s + 13*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34225837237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44341.\nAnswer: 11, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6*-4 - -7. Let n = 6 - 0. Let u(t) = 1 - n - 20*t + k. Let l(f) = f**2. What is u(l(s))?\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(30) - sqrt(30)*-2))\/sqrt(10).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24013 (base 5) in base 13?\nAnswer: a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.13 + -0.13. Suppose 2*y + 3*y + 15 = 0, 5*a - y = 703. Let v be (-4)\/3*(-45)\/a. Sort -3, v, g.\nAnswer: -3, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7348.77 and -0.37.\nAnswer: 2719.0449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*k - 11*k**2 - 7*k**2 - 73*k to the form c*k**2 + a*k + h and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 1\/12*y**2 + 1\/2*y - 1\/6*y**3 + 31 - 1\/24*y**4. Factor w(g).\nAnswer: -(g - 1)*(g + 1)*(g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 7*q + 2. Let l be n(5). Solve j + a - 8 = 0, -4*j - 2*a + l = -3*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0*u - 7*u + 9*u. Let o(w) = 2*w. Determine q(o(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-4*sqrt(12)) - sqrt(3) - sqrt(3) - (sqrt(9)\/sqrt(75) - sqrt(3)).\nAnswer: -29*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-34 - -11)) + (-3 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 307, 1236, 2785, 4954?\n\"Answer: 310*o**2 - o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 349391 and 11137?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 76. Let g be w(15). Is 16 a factor of g\/((-35424)\/(-7080) + (-1 - 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -17, 3, 33, 73, 123, 183?\n\"Answer: 5*z**2 - 5*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, -8.\nAnswer: -8, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 78, 199, 368, 585, 850, 1163?\n\"Answer: 24*a**2 + a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 - 9*x - 1 + 1 - 2*x + (-3*x + 3*x + x)*(-1 + 2 + 0) - 2*x - 1 + 1 - 2*x + 5*x - x + 0*x + 0*x - 2*x + 0*x - 8*x + 36*x - 2*x + 3*x + 0*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*x**2*z**2 + 1916*h**2*x**2*z + h*x**2*z**2 - h*x*z + 879*h*z - 2*z**2 wrt h.\nAnswer: 4*x**2*z**2 + 3832*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 - 0. Let d = 0.06 - m. Which is the third smallest value? (a) d (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1284 + -697. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 5*q**5 + 2*q**5 + (0 + q**4 + 0)*(-3*q + 4*q + 2*q).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4445 + -13?\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 times -524?\nAnswer: -278768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1006*z**2 - 20*z + 13?\nAnswer: -2012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*m - 280 = -261*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -100080 greater than 0.051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 + 16*b + 18. Let g(f) = 4*f**2 - 15*f - 17. Let a(q) = 4*g(q) + 3*y(q). Let m(j) be the first derivative of a(j). Calculate m(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 24*c + 39. Determine b(-11).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/20)\/((-16)\/(-32)). Sort s, 6, 5.\nAnswer: s, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 131*m**2 - 6*m - 4. Let w(l) = 129*l**2 - 8*l - 6. Give 3*w(v) - 4*y(v).\nAnswer: -137*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 445766809 - -1.263.\nAnswer: 445766810.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 16 = 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a + 7*a - 1 - 11*a + 5*a. Let n(p) = -6*p - 2. Let q = 4 - 2. Let y(w) = q*n(w) + 6*o(w). Find the first derivative of y(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let g be (-6)\/(6*6\/(-120)). Suppose 6*c - 8*c = -g. Which is greater: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3523368, 3523422, 3523474, 3523524?\n\"Answer: -u**2 + 57*u + 3523312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1491 + -618. List the prime factors of u.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36249 is divided by 1939?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 930 (c) -0.09 (d) 0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16. Suppose -z*i - 2 = -6*i. Suppose 2*o + 0*j - 2712 = 2*j, -3*o + i*j + 4073 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813635, 1627269, 2440903, 3254537, 4068171?\nAnswer: 4881805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) 0.2 (d) -8 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1520822\nAnswer: 4\/760411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337 - 2*y + 93 + 93 + 87 + 80.\nAnswer: -2*y + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4) - -1)\/((-1)\/2). Is -1\/5 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaua when four letters picked without replacement from aauuuauaxa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 401*m**2 - 11*m - 25. Is z(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/45 - 52\/(-10). Solve i*n = -n + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.96 + 0.8. Let x = 1.45 + -5.89. Let p = x + d. What is p rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/((-1015)\/60))\/(2\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8203282 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/((-10)\/31)*-2 and -11\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06479 to three dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7*(105\/240)\/(174\/(-232))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -190.1+-0.2133\nAnswer: -190.3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 19*t = -2*l + 5, 5*t - 3*l + 18 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 58?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87703191 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*o + 18, 313*k - 309*k + 2*o + 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0181 - -5.\nAnswer: 5.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.31 minus -7?\nAnswer: 16.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*o, -2*o + 6 = 7*q - 5*q. Let a(m) be the second derivative of 0 + 0*m**3 - 5\/12*m**4 + 6*m + m**o. Differentiate a(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*u - 21 + 9, -2*n - 6 = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {r: 1, e: 2, q: 5, t: 2, i: 1, z: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2999168, -2999158, -2999148, -2999138, -2999128, -2999118?\n\"Answer: 10*x - 2999178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p - 1. What are the prime factors of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(16*n**5 - 81*n**3 + 81*n**3) - 2*n**5 + 6*n**5 + 5*n**5 + (3*n**2 - 3*n**2 + n**4)*(3 - 3 + n) - 3*n**5 + 4*n**5 + n**5.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -2 + -5 - -5)\/2. Suppose 26*d + 4 - 82 = k. Sort 65, d, -4 in descending order.\nAnswer: 65, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/25)\/4)\/(45\/(-25))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15082037*j**3 + 2*j - 19045283.\nAnswer: 45246111*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 5*t - 15 = 0, -9 = 2*i + 3*t. Sort i, -2, 5 in increasing order.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.114843 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 - -3. Let z = o - 0.5. Let l = 0.2 + z. Which is the third biggest value? (a) l (b) 0.1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41.97703mm?\nAnswer: 4.197703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-2\/3)\/p))**17\/(p\/p**(2\/5)*p)**(-14) assuming p is positive.\nAnswer: p**(761\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37324 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 12*h**2 - 17*h - 25. Let j = 45 + -58. Let w be o(j). Calculate the highest common divisor of w and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 23. Calculate the highest common factor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1055875 and 750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 9:54 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 7 (b) 2436 (c) -16.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(5)) + (4 + sqrt(5)*-3)**2.\nAnswer: -29*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 181398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1965.45 and -2521241.38.\nAnswer: -2523206.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t. Suppose 2*p + p = t. Solve p*v - 1 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 1 - 1)*(1 - 12 + 6)*(0 + 6*z + 0).\nAnswer: 60*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11515 + -8044. What is the hundreds digit of (-4)\/6 + q\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3170718410 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r. Let g(a) be the second derivative of 5*a**4\/4 - 1111*a. Calculate f(g(q)).\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25398000 rounded to the nearest 100000?\nAnswer: 25400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*o + 22*o - 1161. Suppose -9139 = -2*u - o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, i: 1, y: 2, p: 1, u: 2}. What is prob of sequence iy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97289 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 502\/4 + (-10)\/4. Suppose i*c = 118*c + 26170. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1963382, -3926932, -5890482, -7854032, -9817582, -11781132?\nAnswer: -13744682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*2\/(-2)*5. Factor 6*i - 5*i**2 - s*i**2 - 66*i + 5*i**3.\nAnswer: 5*i*(i - 6)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411845293+-90\nAnswer: 411845203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o. Suppose 2*y + 2*y + 132 = o. Calculate the remainder when 87 is divided by (-6)\/y - (-480)\/22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*d + 20, 4*y = 3*d + 21 - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 4, -13 in increasing order.\nAnswer: -16, -13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85237077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 - x**2 + x + 1. Let i be m(2). Let g(h) = -h**2 - h + 9. Let k be g(8). Let j = 52 - k. What is the highest common factor of i and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - 14. Let b(n) = -2*n**2 + 5. Let t(z) = 8*b(z) + 3*j(z). Let l(p) be the first derivative of t(p). Let s(v) = 2*v**2. What is s(l(c))?\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/26672?\nAnswer: 3\/26672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000650839 rounded to six dps?\nAnswer: -0.000651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155.83 - -155.73. Which is the nearest to g? (a) 5 (b) -1\/9 (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 3, a: 2, e: 3, q: 2}. What is prob of picking 1 r and 1 a?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4469 is divided by 758?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10569 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 84*d**2 + 162*d - 80.\nAnswer: 2*(d - 40)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -13*j**8\/168 + 11*j**5\/20 - j**3\/6 + 153*j**2 - 2. What is the third derivative of u(r) wrt r?\nAnswer: -1560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h. Let k be 11 - (-1 + 2 - 2). Let l be (-14)\/k - 1\/(-2). Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90*l**3 - 2*l + 5*l + 82*l**3 + (-2*l**2 - 4*l**2 + 5*l**2)*(-l - l + l).\nAnswer: -7*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5404 = 11*u. Suppose -l + 2*n + 426 = 31, 0 = -l - n + u. List the prime factors of l.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 2022?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(162) + 0) - (sqrt(162) - (4 + 2*sqrt(162)) - sqrt(162)))*-2 + -2 + 0)**2.\nAnswer: -1440*sqrt(2) + 10468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -15*q**3 + q**2 + q. Let c(k) = k**2 + k - 6. Let r be c(5). Let h be -2*3\/r*4. What is the units digit of i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**3\/7 + 1074*d**2\/7 - 37224*d\/7 + 78408\/7.\nAnswer: -2*(d - 66)**2*(4*d - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*m*z**4 - 5*m + 120*z**2 - 32*z + 1 wrt z?\nAnswer: -288*m*z**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Suppose 0*i = 5*i + 5. Let g = i + 3. Let y(d) = 2*d + g - 2. Calculate r(y(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from mqqhqmhqhhe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55381\/36 + -12247\/12. Is s at most 518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + p - 7*p**2 + 58 - 38)*(0*p - 2*p + 0*p + (4 + 2*p - 4)*(-1 - 3 + 3)).\nAnswer: 28*p**3 - 4*p**2 - 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 9) to base 8\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 45. Let x(z) = 3*z**2. Give l(x(u)).\nAnswer: 27*u**4 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 404 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2020 = 7*y - 3*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxm when three letters picked without replacement from {f: 1, x: 1, m: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 1. Suppose -41*y + 2 + 80 = 0. Let r(q) = 2*q - 4*q**2 + q**2 + 5*q**2. Calculate y*h(f) + r(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.3 (c) -243\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.91 - -14.909988929. What is p rounded to seven decimal places?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 6*l + 4, -l = 4*m - 12. Let f be m\/((-12)\/15)*1. Suppose 0 = -3*x - 2*x. Sort -3, f, x in descending order.\nAnswer: x, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/58 and -49\/218322208.\nAnswer: 218322208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 minus 9?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1472\/11 + 134. Let f = -8 - -9. Which is the third smallest value? (a) f (b) 5\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12) + (-6)\/(-88). Let i = 0.595 + 580.705. Let m = i + -580. Which is the second biggest value? (a) 2\/3 (b) -2\/5 (c) m (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(-4\/11)\/c))\/c)\/(c**(-2\/5)\/c*c*c))**42)**(2\/57) assuming c is positive.\nAnswer: c**(1176\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7534531km?\nAnswer: 753453100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2 - 1 = -4*o, -4*o = -4*b + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3\/2, -2\/9, 1\/5, 0.08, -3\/5, 0.3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12068, 23764, 35460, 47156?\n\"Answer: 11696*u + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 1.69, -0.5, -200 in increasing order.\nAnswer: -200, -0.5, 1.69, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 3 + (3 + 1 - 5)*(3 - 2 - 3) - 8 + 8 + 1)*((-4 + 2 + 4)*(-5*l + 5*l - l) - 2 + 2 - 2*l) in the form x + v*l and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/25*(-5 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c - 3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtlllxjlxvll. Give prob of sequence jx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000) + 2*sqrt(1000)*-3)\/((sqrt(96)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -545390*b**4*t - 3*b**3*t**2 - 2*b*t**2 + 310*b*t - 997*b + 2*t - 4 wrt b?\nAnswer: -6544680*b**2*t - 18*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*f + 5*f + 1, 3*k - 21 = 3*f. Solve -10 = 2*v - 0*v, 0 = 4*h - k*v - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67696 is divided by 1539?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 + 90*j - 87 = 0. Calculate j.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -7)) + -1 + 5 + -14 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1563089\/31 + -24991627\/620. Let l = 1148 + -11257. Let q = v + l. Find the common denominator of q and -145\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from hheehehhvererhhh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/35*90216\/(-3222)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35332142 from -1592702.5.\nAnswer: -36924844.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.21 * -0.78.\nAnswer: -0.9438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-2)\/(-2) - -2. Suppose -t + 0*t - 3*r = 2, -2 = t + 2*r. What are the prime factors of 2 - (2\/t - p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.88 * 115.\nAnswer: -331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002486 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-40 - (7 + (-5 - (10 - -7)) - -29))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (5 + sqrt(605))**2 + -5 + (sqrt(605)*-2 - sqrt(605))*4 + (2 + sqrt(605) + -2 - (4*sqrt(605) + -4)).\nAnswer: -44*sqrt(5) + 629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436330 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284046 - 189995. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 270*h + 1363. Calculate j(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 4*k - 32. What is the units digit of u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 - 6*w + 22. Let r(o) = -9*o**2 + 9*o - 35. Determine -5*r(k) - 8*t(k).\nAnswer: -3*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260353134?\nAnswer: 2, 3, 1973, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 3:11 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 604 + 430 = 0. Solve w*s - 20 = 57*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261.3 + -266.3. Let m = -3 + 5. Sort 11, m, k, -0.4 in decreasing order.\nAnswer: 11, m, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/12 + 5 + (-190)\/40 + 269868\/22446?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 + 590 = 3*h - 5*z + 281, 3*h - 2*z = 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlll when four letters picked without replacement from xxxxlllxxxxlxx?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.15248816?\nAnswer: -0.0091492896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -26*n + 2781. Let q be i(41). Calculate the greatest common divisor of 5880 and q.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 27 + 11. What is the highest common divisor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 170, 488, 1068, 1988, 3326?\n\"Answer: 13*f**3 + 14*f**2 + f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/21096 and 55\/39?\nAnswer: 274248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. What is the derivative of -5*t + t**4 + 5*t + 0*t**4 - f wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-13 - 6*u + 13)*(-3*u - 2*u + 7*u)*(-2 - 1 + 2) + (-u + 0*u + 5*u)*(-6*u - 9 + 9).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -202*l**3 - 808*l**2 + 806*l + 3225. Give u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130693?\nAnswer: 130693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -17, -3, 27, 79, 159, 273?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741262 to the power of 1\/2, to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -110*f - 1. Let m(g) = -1761*g - 18. Let q(k) = -33*d(k) + 2*m(k). Let o be q(6). What is o rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6589*z. Let c(d) = 51*d. Determine c(v(l)).\nAnswer: -336039*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41 (b) 2 (c) -0.6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u - u)*(22 - 11 + 9) + (-3 + 4 - 3)*(-4*u - u + 3*u).\nAnswer: -76*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 bigger than 842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from qkskqkqqkk?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0.4, 1, -2216 in increasing order.\nAnswer: -2216, -4\/7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1795, 3581, 5371, 7165, 8963?\nAnswer: 10765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -95781 greater than -95784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 10*q = -2*q - 5 + 13, -12*p + 16*p + q - 20 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:18 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33769 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 0 + 0 - 3*r**2 - 8*r + 8*r + (3*r**2 + 0*r**2 - r**2)*(0 + 4 - 3).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 != 371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775987653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 2. Let s(o) = -2*o. Let n be s(1). Suppose -5*m + 3*l - 2 = 0, 2*m - 3*l = -5 - 3. Let w be 0*(-1 - (n + m)). Determine y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b\/(b**39*b))\/b)))\/((b\/b**28)\/b)*(b*b\/(b\/(b\/b**(1\/10))))\/b**(-22) assuming b is positive.\nAnswer: b**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 372 = -376. Let y(g) be the first derivative of -g**3 - 3\/2*g**z - 7 + 6*g. Find d, given that y(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1 (c) 0.01 (d) 0.171 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2444, -9785, -22020, -39149, -61172?\n\"Answer: -2447*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/51 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/7, 0.4, -1\/9 in increasing order.\nAnswer: -1\/2, -1\/9, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 b, and 1 r when three letters picked without replacement from brvvrrv?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 13991*d - 13971*d - 272, 5*d + a = 64 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1710, -3437, -5166, -6897?\n\"Answer: -o**2 - 1724*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 18*w**2 + 9*w + 223. Give h(-18).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {l: 2, q: 2, d: 1, w: 1, k: 1, y: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 12, 4, -16, -48?\n\"Answer: -6*j**2 + 22*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - 70 - (-13 - 3) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/60 - s**4\/4 - s**3 - 7*s**2. What is g(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/((y\/(y\/(y\/(y*y\/(y**(-2\/7)*y)))))\/y)*y*y*y)\/((y\/(y*y*y**0*y))\/y))\/(y**(2\/13)\/y**(-2\/9)))\/((y**(1\/3))**(-1\/3))**(-50) assuming y is positive.\nAnswer: y**(3566\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1299)\/15155)\/(6\/28)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**2 + 175*y - 24. Let g(l) = 2*l**2 + l + 6. Give 4*g(s) + o(s).\nAnswer: -2*s**2 + 179*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 214*o**3 - 13139*o**2 - 181584*o - 732564 = 0.\nAnswer: -34, -9, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(2 + (-15)\/6). Suppose 0*h + 12 = r*h. Solve -h + 4 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 55*z. Let u(m) = 3666*m**2 + 1. Determine u(i(n)).\nAnswer: 11089650*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 - -1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z + 9. List the prime factors of (-6)\/(-2) + (15 - z).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2777.83 + 2695. Round v to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwgwwwwgwwwwwwwwww?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5684466 = -25*g + 417665 + 4771994. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.1 - 25.3. Which is the closest to 13? (a) 0.4 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = 4*n. Let h(y) = -31*y**2 - 13*y + 4. Let q(v) = 30*v**2 + 12*v - 3. Let f(x) = n*h(x) - 4*q(x). Find the second derivative of f(s) wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 9) + -36 + 19.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 5716026 and 5715882 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s - s)*(-2 + 0 + 1) + 2 - 2 - 2*s + (-6 + 3 + 5)*(3 - 3 - 2*s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + (-2)\/1)\/(-1). Let r be 69 - k\/((-5)\/3). Let a be 2*-3*r\/(-44). Calculate the highest common factor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/10))\/r)\/r)**(2\/31)*(r\/r**(6\/5))**36 assuming r is positive.\nAnswer: r**(-1127\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 514724518*l**3 - 116088*l**2 + 72*l\/11.\nAnswer: 2*l*(53207*l - 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/53 + -57\/212. Let l = 355.8 - 354.8. What is the biggest value in l, 2\/207, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2577646 - -957646. What is v rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-182)*8\/(560\/490)\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l - 1. Let t be c(-5). Let j = -4 - t. Let u = j + -5. Solve 0*g = -u*d - 3*g - 2, 4*g = 5*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73.7*-407\nAnswer: 29995.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008076 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 59, 95, 135, 179?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7486.145069 - -7452.1451. Let l = 34 + v. Round l to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003168 rounded to five decimal places?\nAnswer: -0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*-14 - 138\/(-207).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31671*y + 31626*y + 1665 = 0 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9787 = -1097. Let f = -967 + r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/66)\/(-1)*30\/20*6.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*g - 121*g + 524 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 16034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4518*v + 1238*v - 82*v + 2377*v to i*v + f and give i.\nAnswer: 8051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464693 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2221012200 (base 3) to base 8\nAnswer: 160620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20516.\nAnswer: 2, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2. Let n(m) be the second derivative of -1\/3*m**3 + 0*m**2 - 78*m + 1\/6*m**4 + 0. What is o(n(h))?\nAnswer: -8*h**4 + 16*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpu. Give prob of sequence jp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8*u = 13*u + 12, -4*z = 5*u + 3. Let p be 0*((-1)\/2 - 0). Which is the nearest to p? (a) 0.3 (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 412 + 13150?\nAnswer: 14002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + a + 38 + 19 = 0, p + a - 23 = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 42*h**2 + 281*h. Let q(m) = 16*m. Give i(q(r)).\nAnswer: 10752*r**2 + 4496*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 10*o - 3. Let a = 16 + -25. Let k be m(a). Solve -3*i - 10 = -5*l + k, l - 8 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 32 + 11)*(-5 - 2 + 4)*(2*f + 4*f - 5*f) - 4*f + 19 - 19 to the form j*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - (-17)\/(136\/24) - 61\/(-20). Let g(k) be the second derivative of 5\/12*k**4 - 1\/6*k**3 + 0 + 8*k + j*k**5 - 3*k**2. What is g(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*d - 198*d + 48587 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = j + 4*v - 34, 3*v + 58 = 5*j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a day?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6522*d + 6939*d - 23894 = -8048 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0586 times 3?\nAnswer: -0.1758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -42. Solve v*u - 4*u = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from qzxxqmx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3 = 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*y - 44 = 0, 3*y = 3*x + 124 - 28. Let n(r) = -r**3 + 2*r**2 - 1. Let h be n(1). Let s = 144 - 139. Sort s, h, x in increasing order.\nAnswer: x, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.89547 - -27.3954712. Let d = x - 0.5. What is d rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 + 13*c + 510. Calculate x(0).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -84*p + 1513. Give b(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14*a**2 + 5*a + 8. Let x(d) = 9*d**2 + 3*d + 5. Let y = 60 + -71. Let q be 3\/1 + -2 + 2 + y. Determine q*x(l) + 5*m(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - -0.05. Let d = 0.649926 - p. Round d to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2. Let z(n) = n**3 + 12*n**2 + 28*n + 85. Let i be z(-10). Solve -v = -2*c + v, i*c - p*v = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19320 and 3701160?\nAnswer: 25908120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -2. Let k = 113\/78 - -2\/39. What is the smallest value in k, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6447669211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-14)*14560\/(-9360).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -87*q**3 - 13*q**2 - 51*q - 7. Is t(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -209*x**3 - 20*x**2 - 5*x + 8. Let w(z) = -522*z**3 - 50*z**2 - 12*z + 20. Let p(l) = -12*c(l) + 5*w(l). Find the third derivative of p(v) wrt v.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 644 + -632. Solve 0 = 3*g + 4*b + 8 + d, 2*b = 3*g - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**3 - 2*k - 1. Let x be g(-1). Let m = -61 + 29. Let l = x - m. What is l rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05818 - 0.35818. Let w = 39.4 - 3.4. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -24. Solve m*o - 5*o = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 4*z**2 + 6*z - 22. Let c be h(-11). Let q = c - 248. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000111011100001100 (base 2) to base 5\nAnswer: 202120113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16*(10\/8 - (-60)\/(-60)). Solve -d*g = -4*v + 8, 11*v + 2 = 8*v + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184257, -10, 5, -0.3 in increasing order.\nAnswer: -10, -0.3, 5, 184257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*t**3 + 3*t**2 + 524*t wrt t.\nAnswer: -546*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 11. Let t = 93 - j. Let u = -20 + t. Calculate the greatest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:01 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*x - 22, -2*c - 2*c + x = 25. List the prime factors of (180\/(-50) - c)\/(2\/215).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 2*p - 1014 + 1060, -w = -4*p - 7 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 + 0 + -7 - (-32 + -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-8) + -2)\/(-5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/4)\/((-2)\/1). Sort -1, 5, z in increasing order.\nAnswer: z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/150 and 91\/80.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145350774 - 145350771.12000127. Let i = h - 2.88. What is i rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378 divided by -90?\nAnswer: -689\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 0.4, 1\/8, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6253*i**3*m**2 + 2*i**3 + 93*i**2*m + 4*i**2 + 2*i*m - m**2 wrt i.\nAnswer: -37518*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 19) + (0 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -134, -206, -280, -356?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.551 and -6?\nAnswer: 13.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.7628 and 4?\nAnswer: 27.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - (6 + 0) - (1316 - 1320)) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128038944 divided by 1243.\nAnswer: 103008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 4, 20*p - 110 = 539*m - 534*m for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 259, 225?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (5 + -4)) + (4 - 7) - -45?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:47 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-25)*(-1 + -19). Let f be (-9)\/5*80\/q. Let h(z) = 6*z**2 + 5*z - 4*z**2 - 3*z**2. What is h(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -410*t + 2277. Let x(i) = -145*i + 759. Determine -6*l(a) + 17*x(a).\nAnswer: -5*a - 759","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -194161 divided by 1?\nAnswer: -194161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 128?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w + 0 - 16\/3*w**3 - 7\/15*w**5 + 0*w**4 - 28*w**2. Differentiate t(u) with respect to u.\nAnswer: -56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17474 - -17473.30568. Let f = j - -0.7. Round f to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*d + 31020, -2*u + 4*d + 9730 + 2702 = 0. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1 = -11, -j + 7 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052531?\nAnswer: 3, 13, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477336, 954674, 1432012, 1909350?\nAnswer: 2386688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100022210 + 12?\nAnswer: 1100022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 497611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*(0 + (sqrt(2299) - (sqrt(2299)*1 - sqrt(2299)) - sqrt(2299))) + (-4 + sqrt(2299)*-2 + sqrt(2299))*2)*6)**2.\nAnswer: 12672*sqrt(19) + 333360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002797065 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 948.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(119) + 1*sqrt(119))\/sqrt(7) - -6*(4 + 1 + sqrt(17))) + 5 + -4)*-3.\nAnswer: -93 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 2, w: 3, b: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1913, 1948, 1983, 2018?\n\"Answer: 35*r + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from kkttlkulultlttu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -4*b, -3*g + 10 = -2*b + 4*b. Suppose -g*j = -48 - 154. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1. Let k(y) = 38*y + 7. Let x be 20\/(-4)*127\/635. What is x*k(f) + 6*h(f)?\nAnswer: -38*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = c - 97*q + 102*q, 0 = 5*c + 2*q + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*k**3 + 249 - 472 + 223.\nAnswer: -73*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*n + 404*n**2 + 201*n + 207*n + 591*n**2.\nAnswer: 995*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/14 + 8*m**6\/15 + 3*m**5\/5 + 173*m - 1. Factor o(z).\nAnswer: -z**3*(z - 6)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 + 2*m - 48. Let i be l(0). Let j = 8 + -38. Let b = j - i. What is the remainder when 53 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 41*i + 523 + 41*i + 3*i**2.\nAnswer: -4*i**2 + 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and ((-3)\/6 + (-248)\/12)\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 3*a - 10 - 9, y - 23 = -5*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0 + 2 + t)*(13*t + 89*t + 75*t) in the form x*t + m*t**2 + k and give x.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4\/3, -1, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-26) + -1 - (-864)\/39. Let y be (3 - 1692\/3)\/(30\/(-20)). Calculate the greatest common factor of s and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1370 and -41\/52534842?\nAnswer: 262674210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 5*p**4\/24 - p**3\/6 + 164*p**2. Let m(f) = -f**2 + 7*f - 5. Let x be 4 + 2 + 0 - 0. Let k be m(x). What is n(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (460\/16)\/(-1)*(-12)\/(-15)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-3 - 3) + (16 - (-1 - -20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -4*j - 153, 3*t - 5*j = 361. Let f(o) = 14*o**2 - 2*o - 1. What is the remainder when t is divided by f(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(-5 + sqrt(637)*2 + 4)*3)**2.\nAnswer: -252*sqrt(13) + 22940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 7:23 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 4*f**4 - f**2 + 4*f + 0*f**2 - 2*f - 2 as d*f**2 + n*f**4 + o*f**3 + z + h*f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2407\/25674 + -7\/389. Let i = s + 19\/330. Determine z so that -i*z**4 + 4\/15 - 2\/15*z**2 + 2\/5*z**3 - 2\/5*z = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -251, -147, 347, 1231?\n\"Answer: 195*t**2 - 481*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100822922911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20997 + 2174. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71614300 by -7.\nAnswer: 71614300\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooeeooo. Give prob of picking 3 o.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 a factor of 68583726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2542*f**4*t - f**3*t - 2*f**3 - 4*f**2*t - 2318*f**2 + t wrt f.\nAnswer: -61008*f*t - 6*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 22*u + 44. Give h(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/40)\/((-540)\/400).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*n*u + 16*j*s**3*u + 10*j*s**2*u - 866*n*s**3*u - 25*s**2*u + u wrt s?\nAnswer: 96*j*u - 5196*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13202468 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 8*w - 1. Let n be z(-7). What is the units digit of (4\/n)\/((-12)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5107 - 3474. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 158. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 18*k + 17. Let l be h(17). Suppose -4*z + z = 3, l = c + 2*z - 11. What is the greatest common factor of c and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + q - 9, 2*l + 2*l + 4*q = 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11745151 is divided by 3594.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-9))\/(1 - (-824)\/(-828)). Let p = 276 - f. Solve v + 4*g + 15 = p, 3*v + g + 0*g - 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 17 = 3*h, -2*h = -5*l - 5 - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 19 (c) 8566894\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 8*s + 3. Let p be a(-8). Suppose -p*b + 2*k = -715, -481 = -2*b - 0*b - 3*k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:58 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 21*a**2 - 23*a + 29. Let s be o(22). Suppose m - 19 + 4 = 0. Suppose 8*t - 3*t = m. Solve -4*z - t = -s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4537*x = 1343*x + 1737*x - 4966*x + 83499 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27938.09 rounded to the nearest one hundred?\nAnswer: -27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 17106*f + 85482. Give p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.161 and -0.0544.\nAnswer: -0.2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -22. Let h = b + -4. Let g(p) = 11*p + 83. Let v be g(-8). Put v, 5, h in decreasing order.\nAnswer: 5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 2. Let j = p - -5. Suppose -4*m = t - 1 - 14, -5*m + 38 = j*t. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 - -0.4. Let s = 0 - w. What is the closest to -0.1 in 1, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5 = -5*p + 20, 5*p - 5*a - 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.1, 94?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 268723 divided by 1\nAnswer: 268723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*m + 12, -2*l + 2*m + 12 = -2*m. Suppose 0 = -v - l*v + 21. Suppose -3*q = -4*q + v. What is the greatest common factor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-4)*1\/5. Let q = 31 - 94\/3. Which is the closest to q? (a) -0.5 (b) g (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 187, 310, 451, 616, 811?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 1, v: 3, h: 2}. What is prob of picking 1 h, 1 k, 1 v, and 1 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**10\/x*x*x*x)\/x)\/x**1)\/((x*x**13\/x*x*x)\/(x*x*x*(x*x\/(x*x**(-2\/3))*x)\/x)) assuming x is positive.\nAnswer: x**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 375368 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: Let c = 4 - 6. Let k(a) = -4*a**3 + 3*a + 2. Let v be k(c). What is the units digit of v\/5 - (-6)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 5. Let g be l(5). Suppose g = o + 8*o - 117. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 34*b + 36. Let n be 178\/10 + (9 - 147\/15). Calculate the remainder when 81 is divided by l(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**7\/840 + o**4\/4 - 8*o. Let t(r) be the third derivative of h(r). Let f(s) = 3*s. What is t(f(x))?\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/45370 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456045419 to the nearest integer?\nAnswer: 21355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 11 - 45 + 1 + 1 - 1 + 2 - 6 + 3 + (-5 + 5 + 2)*(-4 + 0 + 5) + 4 - 2 - 1 - 2 - 1 + 1 + 0 + 1 + 1)*(3 - p**3 - 3).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - m + 47, 4 = -s - 2*m. Let f = s - -18. Let x(l) = l**3 - 5*l**2 + 5*l - 6. Give x(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:23 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -5*j**4\/4 + 93*j**2 - j - 282. Find the second derivative of u(n) wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0246 + 1.5335. What is s rounded to two decimal places?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 + 355258*l + 4263240 = 0.\nAnswer: -12, 355270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*d + 120*d + 3 - 257*d.\nAnswer: -22*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2 - 22. Let o = 13 + t. Solve o = -k - 5*y, -4*k = -2*y + 3 + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11896253.25 to the nearest one hundred thousand.\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/11)*z)\/z*z*z**10*z*z)\/(z*z**3*z**7*z) assuming z is positive.\nAnswer: z**(25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 4*r - 1. Let q be k(-5). Suppose -5*z + 4*h - 7*h + 141 = 0, 0 = q*z - 3*h - 102. Differentiate -24 - 9*g**2 - 13*g**2 + z wrt g.\nAnswer: -44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q - 13597 - 4355 = 0. Is q < -544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9 + 4 - d + 0*d. Suppose 2*i - 4*y = 8, -97 = 2*y - 105. What is q(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 8\/(-12)*(-66)\/4?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**6\/720 + l**5\/120 - l**4\/72 - 9*l**2\/2 + 17. Let z(x) be the second derivative of d(x). Factor z(y).\nAnswer: -y*(y - 2)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.32 in 0.2, 1, 100.59, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237275321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 58292768.\nAnswer: 5\/58292768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - 1) + (1 - (-9 - (-21 - -8) - 10))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*z - 5*h, 3*h - 49 = -z - 4*z. Suppose -5*o + 5*p = -465, 6*o = 2*o - 5*p + 327. Calculate the highest common divisor of z and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**2 - 3*u**2 - u**2)*(28 - 28 - 29*u) + 2*u**3 - u**2 + u**2 to the form j*u**3 + t*u**2 + r + l*u and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (-65 - -62)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 6*g - 5. What is the remainder when o(6) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**2\/2 - 3*y - 1. Let j(q) = 4*q - 12. Let i = -5 - 1. Let b(x) = i*j(x) + 22*f(x). What is b(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25476?\nAnswer: 2, 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93.8 - -0.71823978.\nAnswer: -93.08176022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 65. Suppose 0 = -4*z + 3*u - 82, 3*z + 4*u = 47 - 121. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(24\/7))**(3\/20)*z**2*z*z\/(z*z\/(z*z\/((z*z\/z**(1\/27))\/z)))*z assuming z is positive.\nAnswer: z**(4301\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17582918 and -0.5.\nAnswer: -8791459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 770064 and 29824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -768.1.\nAnswer: 115.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 202 + ((-576)\/(-16))\/18. Calculate the greatest common factor of a and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101018767.\nAnswer: 101018767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -130422420 (base 5) to base 8\nAnswer: -2340206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128)*-2*4 - sqrt(128)) + sqrt(128) + 4 - (sqrt(128) + 0 + -4)*2)**2 + -4)*6.\nAnswer: -11520*sqrt(2) + 77640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118267 and 5731.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/11*b + 2\/11 + 60\/11*b**2 + 18\/11*b**4 + 56\/11*b**3.\nAnswer: 2*(b + 1)**3*(9*b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12403188 and 22659?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4 - 2\/(-4). Let y = 9 + z. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - -1) - (12 + -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 9. Let o be u(-2). Suppose -9*d + o*d + 24 = 0. Suppose -d*z + 18 = 3*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -3. Let p = 0 + 2. Suppose p + z = g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1411*j - 83. Let p = 565 + -571. Is n(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*-2*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:25 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-2 + 801\/(-6)). Suppose 0 = -3*k + q + 5067 - d, -3*k - q + 4786 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7430062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 2. Let m(b) be the first derivative of 4*b**3\/3 - 6*b + 46. Let f(h) = -6*a(h) + 2*m(h). Let x(c) = -9*c + 1. Determine f(x(k)).\nAnswer: 162*k**2 - 36*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + 10001100011?\nAnswer: 10010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 divided by 115?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 869535 divided by -171\nAnswer: -5085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:55 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -64\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 times 0.48?\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3140, 7, 2, -2 in decreasing order.\nAnswer: 3140, 7, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 1\/3, 12, 0.3, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.4571.\nAnswer: -0.04571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 2723?\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/9 - 8*j**3\/9 - 2*j**2\/3 = 0. What is j?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -285*a**2 + 8691*a + 40482.\nAnswer: -3*(5*a - 173)*(19*a + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g, -2*g + 19 = 5*c + 4. Suppose c*a - 7*a = -8. What is t in 0*t**a - 9\/5*t + 3\/5*t**3 + 6\/5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 312, 337, 362, 387?\n\"Answer: 25*w + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/20*10*(-7)\/(840\/(-50))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 61 - 113. Suppose -63 + o = -i. Solve 10 = 5*a - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**9)*t**8*t\/(t\/(t*t**(1\/7)\/t))*t*t*(t\/(t**(-3)\/t))\/t assuming t is positive.\nAnswer: t**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 35*k**2 - 8 + 38*k**2 + 24.\nAnswer: 3*k**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(-1*sqrt(162)*2 + -2 + sqrt(800)))**2.\nAnswer: -72*sqrt(2) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (sqrt(128) + 1)**2 + sqrt(128) + 5 + sqrt(128) + -1*sqrt(128).\nAnswer: 24*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1033 (base 4) to base 3\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 2, u: 2, v: 8, o: 2, e: 2}. Give prob of sequence zju.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 0.4 (b) -2\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 4. Let k be n(10). Let v = -6 - k. Suppose -s = 2*h + 200332 + 39666, 2*s - 4 = v. What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, a: 1}. Give prob of picking 3 i.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*z - 15 = 0, 10*n + 12 = 12*n - 4*z. Let y(a) = -a**2 + a + 42. Give y(n).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3291 + -3230. Let c(t) = -t**3 + 61*t**2 - 2*t + 122. Give c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * 0.5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.2 - 9.25. Let r = m + 0.02. Let g(f) = 2*f. Let n be g(-1). What is the third smallest value in -2\/17, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/6)\/8*9\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 1695. Let q be n(0). Calculate the remainder when 57 is divided by q\/(-55) - (-4)\/22.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s + 25. Let f be k(5). Let c = 1 + 2. Let y be f\/(c - (-11702)\/(-3900)). What is y rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49045, -98082, -147111, -196138, -245169, -294210?\nAnswer: -343267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 88 = z. Let u(l) be the first derivative of 3*l**4 - 11*l**3\/3 - 11*l**2\/2 - 11*l + 2. Let a(r) = -r**3 + r**2 + r + 1. Give z*a(x) + 2*u(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14365965611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4792807*b + 6255398 wrt b.\nAnswer: 4792807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**2 - 19 + 132*r + 9 + 10 + 139*r as l + b*r + s*r**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13320 (base 11) to base 13\nAnswer: 8870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1876, -1477, -810, 125, 1328?\n\"Answer: 134*q**2 - 3*q - 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 1)*(135\/(-4))\/(-5). Suppose 5603 - 986 = m*k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-385)\/(-21))\/(18\/324) is divided by 100?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7281*r - 3210*r + 958122 = -13672*r for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26652 = 6*o - 2*o. Suppose y = -2*y - o. Let w = 1551 + y. Round w to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*30792\nAnswer: -61584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 5)\/((-3)\/(-12)). Let i = -9 + 17. Let a = i - 5. Solve -3*m - k*y + a = 0, 5*m + 8*y - 3*y = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1086*u**4 - 3*u**2 - 41*u + 42.\nAnswer: 13032*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*d + 65*d - 70*d**2 - 79*d**2 as x*d + f + r*d**2 and give r.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455 divided by -91.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5712 divided by -8?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(745\/250 - 3). Suppose 0 = 2*h - 198 - u. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {m: 1, t: 5, p: 1, u: 1, w: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 8, t: 1}. What is prob of sequence tahh?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -4*h + 3*h, 3*h - 4*s = -33. What is the common denominator of 110\/12 - (h - -1) and 13\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 + 189*b + 1. Let f(t) = -23*t**2 - 756*t - 4. What is -2*f(k) - 9*n(k)?\nAnswer: k**2 - 189*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 + 13. Calculate m(3).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -26*q**7\/21 + q**6\/60 + 7*q**5\/4 + q**3\/2 + 48*q**2 + 2*q. Find the third derivative of s(b) wrt b.\nAnswer: -6240*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 3*c - 1, -3*c = -5*w - 16. Let a(n) = -n**3 - 7*n**2 - 3*n + 1. Let k(o) = o**3 + 8*o**2 + 3*o - 2. Let y(g) = 3*a(g) + 2*k(g). What is y(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -3, 4, -2\/3, 0.4, -93 in increasing order.\nAnswer: -93, -3, -2\/3, 0.4, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 445*b**2 - 2*b + 649.\nAnswer: 890*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 79*l + 687. What is the units digit of v(-67)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 372*z + 375.\nAnswer: -3*(z - 1)*(z + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffrr when four letters picked without replacement from ffrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 691 (c) -121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -13.16, -2, -9 in decreasing order.\nAnswer: -0.3, -1, -2, -9, -13.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18*k + 27 = -23*k. Sort 16, 92, k in ascending order.\nAnswer: k, 16, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/27)\/(g\/g**(7\/2)*g)*(g*g**2)**(-20\/11) assuming g is positive.\nAnswer: g**(-2305\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -379, -757, -1135, -1513, -1891?\n\"Answer: -378*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 5)\/(1\/(-4)). Let y be u\/((-280)\/(-7)) + (-1)\/(-5). Solve -2*b - 8 = -y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1440\/(-48))\/330)\/(1\/4)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 24*t**2 + 106*t. Let w(c) = -c**3 - 8*c**2 + 35*c. Let u(h) = 3*m(h) - 10*w(h). Factor u(f).\nAnswer: 4*f*(f - 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 73*x = -70*x + 18, 2*p - x - 18 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -7*s**4\/24 + 4*s**2. Let l be p(-1). Let w = 20 - l. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256*q + 945 = 1391*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30191283 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*-5*6 - (sqrt(448) + 2*(sqrt(448) + -4))) + 2 + -5)**2.\nAnswer: -2560*sqrt(7) + 458777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 49.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 4:07 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let f(x) = -25*x - 5. Let h(y) = 1643*y - 32. Let u(z) = 6*f(z) - h(z). Determine u(i(w)).\nAnswer: -3586*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 3. Let z be i(8). Suppose 29 + z = v. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0423 - -0.0577. Let i = -2 + 1.9. Put i, 1, p in increasing order.\nAnswer: i, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5607135?\nAnswer: 3, 5, 53, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 x when three letters picked without replacement from {x: 6, n: 4}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 1. Let b be m(1). Find the common denominator of 0 + b + ((-1617)\/182)\/11 and 21\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -465402?\nAnswer: 232701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 241494 = -6*v + 13*v. Is 86 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-81)*2\/((-12)\/9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78977 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1229 - 0?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1011588217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-190843241)\/(-206)*12\/34 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-186)\/84 + 2)*5\/(-3). Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -o. Let n = -616 - -618. What is the third derivative of -g**2 - 11*g**o + 6*g**2 + 5*g**n wrt g?\nAnswer: -264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/130)\/2*-1*12\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 135507070, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = i + 3*i + s, 89 = 5*i - 2*s. Suppose g = 3*o - 9, 5*o + 5*g = 8*g + i. Solve -4*q - 36 = 4*b, -2*q + 12 = o*b - 6*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 10:00 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49385 + 36185 = 1990*i for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-42)\/7)*(-15)\/(-30). Sort -3\/7, 0.5, -0.2, f, -4 in ascending order.\nAnswer: -4, -3\/7, -0.2, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -17907\/169?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e (base 15) in base 13?\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37075 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 80 + 162 + 33298*f.\nAnswer: 33298*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 16. Let y be (-6)\/2*(4 - v). Suppose -5*h - z = -6, y*h - 2*z - z = 18. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103438 (base 9) to base 16\nAnswer: -f09b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/139 + 99\/1390. Let n(y) be the second derivative of 0*y**3 + 0*y**5 + 0 + d*y**6 + 0*y**2 + 1\/12*y**4 + 5*y. Find the third derivative of n(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n + 96. Determine f(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14170 or 14172?\nAnswer: 14170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53862, -107725, -161588?\nAnswer: -215451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 take away 4494?\nAnswer: -5095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25466*j + 25469*j - 39*x - 42, -5*x + 50 = -5*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -401394295.2?\nAnswer: 401394294.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.5, -92, 0.4?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-104)\/(-4)*(2 + -1). Let g = c + -1. Let b = g - 20. Which is smaller: 6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1\/c)\/(((c*c**(-3))\/c)\/c*c))**11 assuming c is positive.\nAnswer: c**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 5 + 10\/(-5). What is the first derivative of -f**v - 28*f**2 + 4*f**2 + 19 wrt f?\nAnswer: -50*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 790 and 11?\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 13*y**2 + y + 3. Let o = -8 - -21. Let k be l(o). What is the third derivative of 0*p**2 - 7*p**3 - 7*p**2 + k*p**3 + 0*p**2 wrt p?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 5. Let r be 0 + (1 - 3)\/2 + -3. Determine b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(396) - (0 + sqrt(396)) - sqrt(11) - -2*(-1 + sqrt(11)))**2.\nAnswer: -4*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917264 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*k + 41. Suppose -5*v = 1190 - 360. Let c = k - v. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*v - v = -6, -18 = 3*r - 3*v for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 752058 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6902 - -7185.75. Round f to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/69945 and -46\/256465.\nAnswer: 769395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 14*c**2 - 4*c - 5. Calculate w(14).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76975020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-12)\/8*-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -439 - -14?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1296, -2543, -3790, -5037, -6284, -7531?\nAnswer: -8778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228678037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 - (0 + -38 - -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -4*y**5\/5 + 5*y**2\/2 - 5. Find the second derivative of s(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yajazxyzzyz. What is prob of picking 1 a, 1 z, 1 j, and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 830 = -3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8598044 and 1014?\nAnswer: 25794132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2140435?\nAnswer: 5, 11, 38917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 41*s + 91. Calculate c(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 times 1006?\nAnswer: 518090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*j + 14915, -15*r = -16*r - 2*j + 7475. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905204, -905203, -905202, -905201, -905200?\nAnswer: -905199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*a - 4)*(15*a + 99*a + 87*a) - 3*a**2 + 4*a**2 - 2*a**2 + (-3*a + 6*a - a)*(-1 - 2*a + 1) + 3*a**2 - 2*a**2 - 2*a**2 - a**2 - a + a.\nAnswer: -610*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 + 149682664.\nAnswer: 149682523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20262 and 151965?\nAnswer: 303930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4)*1)\/(9\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Suppose 13 = j + u. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18083 smaller than 18082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91392 + -91382 - (1 - (1 - -83))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 - 6608*t**2\/3 - 8828*t\/3 - 736 = 0. Calculate t.\nAnswer: -1, -1\/3, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ded when three letters picked without replacement from {d: 4, a: 4, e: 1, q: 3, z: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3319, -13319, -29995, -53353, -83399, -120139?\n\"Answer: -v**3 - 3332*v**2 + 3*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*(t\/(t*t**(-41)))\/t*t)))\/((t*t**(-10))\/t))\/((t**(2\/9)\/t*t)\/(t**15\/t)))**(1\/40) assuming t is positive.\nAnswer: t**(74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 380 - 110. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -6*(21*2\/12 - 4). Sort 4, k, 45, 2 in descending order.\nAnswer: 45, 4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*q + 18*q**3 + 70*q + (25*q - 11*q - 2*q)*(-7*q**2 + 9*q**2 - 7*q**2) as d + z*q + n*q**2 + m*q**3 and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2153 - -2176) + (1 - -1) + -33.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 47, 151, 359, 707, 1231, 1967, 2951?\n\"Answer: 6*q**3 - 2*q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -23*p**2 + 13*p - 12. Let k(v) = -35*v**2 + 21*v - 17. Give 5*k(w) - 8*q(w).\nAnswer: 9*w**2 + w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**4\/12 - k**3 - 7*k**2\/2 - 22*k. Let b be x(-3). Does 8 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 2084. Let z(s) = 6*s - 2076. Give -4*m(x) + 3*z(x).\nAnswer: 2*x + 2108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140211 - 32021?\nAnswer: 103140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 7*u**3 + 5*u**3 - u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from zmzd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwuqquwquuq. What is prob of sequence unu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/8, -20?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 60. What is the remainder when z is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -11. Let o be ((-8)\/6)\/((-4)\/u). Suppose -o*c + 58 = 6. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -10*j**3\/3 + 27*j**2\/2 + 27. What is the second derivative of i(z) wrt z?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000059678677 to seven dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17 = 3*f, 3 = 4*w + 3*f + 4. Let q = -7 - -2. Suppose 4*u = -7 - 9. What is the second biggest value in u, q, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/4)*y**(-2)*y)\/(((y**(-2\/9)\/y)\/y)\/y**(-2\/19)) assuming y is positive.\nAnswer: y**(1619\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -528708*l - 1063318 wrt l.\nAnswer: -528708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:49 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 39249343*g - 39249343*g - 3*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let i(r) be the second derivative of -r**3\/3 - r**2\/2 - 25*r. What is t(i(m))?\nAnswer: 4*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*y + 3*y = -5, -y + 30 = 4*s. Suppose 0 = -5*v + 2*b - s, -6*v + v = -b + 6. Find the common denominator of (-198)\/(-32) + -1 + v and -39\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 101 and 119 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23479 + 73211 = 7*h - 2*h. What are the prime factors of h?\nAnswer: 2, 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 - x - 4. Let z be c(0). Calculate the remainder when (-1988)\/(-63) - z\/9 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1557, -1527, -1493, -1455, -1413, -1367?\n\"Answer: 2*q**2 + 24*q - 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3939 divided by 7\nAnswer: -3939\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -701699.79 and -0.01.\nAnswer: 7016.9979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 - 954*x**4 + 264037*x**3 - 16793808*x**2 + 64037236*x - 62996304 = 0. What is x?\nAnswer: 2, 84, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Suppose 4*u - f = 5. What is g in 0*g - g**u - 7\/2*g**3 + 0 - 5\/2*g**4 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zozo when four letters picked without replacement from {z: 5, t: 5, o: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 21. Suppose -q*v + 139 - 4 = 0. Solve 2*a - 13 = -v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (19 - 28 - 10) + 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 68*r**3\/3 + 18*r**2 - 21. What is the second derivative of i(u) wrt u?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182067?\nAnswer: 3, 60689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13595\/9 - -1511. Factor -f*c**2 + 1\/9*c**3 - 4\/9*c + 0 + 1\/9*c**4.\nAnswer: c*(c - 2)*(c + 1)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z + 2. Let i be o(-1). Let a(u) = u + 14. What is a(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {v: 1, n: 3, l: 1, e: 2, q: 1, t: 8}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*c**3 + 7*c + 4626*c**4 - 4623*c**4 - 105*c**3 + (-2*c + 0*c + 4*c)*(-2 - c**3 + 2) in the form n*c + x*c**2 + a*c**4 + t*c**3 + u and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n - 32. What is the tens digit of i(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51553 and 9?\nAnswer: 51544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54724?\nAnswer: 2, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 222000200120 (base 3) to base 10\nAnswer: 512259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 r when four letters picked without replacement from crkkirrikik?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 - -86. Round g to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g + 3*u - 2071, -u + 1557 = 3*g. Suppose -4*k = -0*k - g. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 10:53 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 160 = 152 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + sqrt(6)\/sqrt(2) + 1))**2 + 5.\nAnswer: 250*sqrt(3) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {t: 2, z: 1, e: 3, g: 6, l: 2, s: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 4:49 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -601 divided by 3220.\nAnswer: -601\/3220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/2437, -9, -32 in ascending order.\nAnswer: -32, -9, 2\/2437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/8 + 5538405*r\/8 - 4153797\/2.\nAnswer: -3*(r - 1846132)*(r - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 11:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13575 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.439, 1100, -2\/15 in increasing order.\nAnswer: -0.439, -2\/15, 1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*p, 0 = -g - p + 92. Suppose -g = -5*b + b. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23881, 47767, 71653, 95539, 119425, 143311?\nAnswer: 167197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -15 - 3*a + 6*a - 4*a. Let y be s(-19). Let p be ((-8)\/5)\/((-228)\/220 + 1). What is the greatest common divisor of y and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 3 (c) -0.3 (d) -4 (e) -1.9 (f) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**2 + 4*v**2 + v**2)*(v**2 + 4*v**2 + v**2) + (0*v**2 - 2*v**2 + 0*v**2)*(-v**2 - 4 + 4) to r*v**3 + z*v**4 + d*v**2 + u + c*v and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0*(-5)\/(-25). Let a be (d + -2)\/(2\/(-4)). Is 69\/92 - (-5746)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100801079 - -32796?\nAnswer: 100833875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 9*i. Suppose 3*t - 2*t - 2 = i. Solve 0*a + t*g = -3*a + 8, 0 = -4*a + 3*g - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 9:38 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**3 - 19*d**2 + 62*d + 5. Is c(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Suppose -9*w - 110 = -19*w. Let z(q) = -w*q + 4*q + q. What is m(z(b))?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = c - 6*i, 0 = 3*c + 3*i - 15. Let t(s) = 3*s**2 - 2*s - 6. What is the lowest common multiple of t(-4) and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19213234 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1750 and 25750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:45 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15339368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 98*n**3 + 3*n**2 + 96. Let h(c) = -99*c**3 - 4*c**2 - 96. Let o(v) = -5*h(v) - 6*z(v). What is the first derivative of o(p) wrt p?\nAnswer: -279*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-12) - 20\/(-6). Let g be (-4 - 0)*(-2)\/l. Suppose 25*w = 28*w - 9. Solve 1 - w = -g*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 88*l + 93*l = 20, 16*a = -4*l + 88 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 25 = 0, i - 29 = -3*q - 39 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -13. Let v = -44 + 31. Let r = b - v. Calculate the highest common divisor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -63*k**5 + 128*k**5 + 8*k - 4 - 7*k**3 - 66*k**5 + 5*k**4 - k**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 840475685\/79228768 + -99210\/13679. Let q = -70\/181 + l. What is the common denominator of 85\/12 and q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/382470 and -131\/770.\nAnswer: 2677290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - 24*m + 7. Let i = 104 - 99. Let k be o(i). Sort 1, -4, k in increasing order.\nAnswer: k, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6*u. Let r = 134 - 131. Suppose 1\/2*s**4 + 0 + u*s**2 - 3\/4*s**r + 1\/4*s = 0. Calculate s.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.38 or -1405?\nAnswer: -1405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 5*b**6 + b**4\/4 + 25*b**3\/3 - b**2\/2 - 174. Find the third derivative of l(u) wrt u.\nAnswer: 1800*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128381*v**6 + 16*v**4 - 9342547*v**2.\nAnswer: -15405720*v**3 + 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 4*h**2 + 3*h. Let c = -797 + 797. Suppose 2*f = -5 + 19. Suppose 5*d + r - 8 = c, -f*d + 4*d = -5*r - 16. Give a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 + 2*s**3 - 5*s**3)*(1 + 3*s + 2*s - 6*s).\nAnswer: -s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 39*l - 29. Let s(f) = -3*f**2 - f + 5. Let m be s(5). Let i = 81 + m. Is c(i) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*y + 236 = 0, -201 + 67 = -2*c + 2*y. Suppose 69*a + 8 = 71*a. Suppose -2*q + c = a*q. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(252\/96).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + -31 + 35 + (-6877)\/(-1)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1192\/38869 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -59070*v - 2008405. Determine t(-34).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = -93*w - 1184 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -31*w**3 - 16*w**2 - 6*w + 15. List the prime factors of n(-5).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74.416 + -0.616. Let l = -198 - -124. Let s = t + l. Is -0.09 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6828435\/9763528 - 1208\/1741. Calculate the common denominator of -131\/36 and q.\nAnswer: 50472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10 + (-29)\/(1160\/(-1304))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -64*d + 137. Determine q(5).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1 - sqrt(100))\/sqrt(5))\/sqrt(4).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 2732262*a + 910772*a + 910746*a + 910744*a + 0*a**3 - a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 24 = -12*n + 8*n, 0 = -5*d. Calculate the highest common divisor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 719 + 703)*(-2*r**3 - 2*r + 2*r).\nAnswer: -2684*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65650 is divided by 15453?\nAnswer: 3838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 75 + 54 + 24 + 3*u.\nAnswer: 3*u + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*n - 32, -3*n + d + 11 = -n. Suppose n*c - 15 = -0*c. What is the remainder when 9 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168340?\nAnswer: 2, 5, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/8))**(-5\/7) assuming k is positive.\nAnswer: k**(25\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 - 832. Let f = i - -425. Which is the second biggest value? (a) 0.4 (b) -25 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-735)*(-3)\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1181 + 3508\/3. Calculate the common denominator of 3\/8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494895241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29164 is divided by 1037?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*m - 3*m = -3, 2*m + 38 = 4*y. Let z = -3 + y. Find the third derivative of -r**5 - z*r - 2*r**2 - 2*r**5 + 4*r wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2526942521 and 4490.5.\nAnswer: 2526947011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 + -441. Let b = 144 + w. Solve 17 = -b*t - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 3. Let w(n) = -n**3 + 2*n**2 - 3*n + 3. Let x be w(2). Let c(q) = q + 2. Give x*c(j) - 2*s(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16221 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7296983 + 7296988.0000024. Let l = w + -5. Round l to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-17))\/(3\/(-2)). Let x = 18680.2 + -18685.2. Let s = -284\/5 - -57. Which is the smallest value? (a) i (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 47, 50, 31, -16, -97, -218, -385?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-153))\/((-618)\/(-7004))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.9 + -11. Let j = -0.3 + -0.8. Let k = -0.8 - j. Which is greater: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 1 (b) -1\/7 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 10*m**2 + 3*m. Let x(w) = 2*w**3 + 31*w**2 - 8*w. Calculate -8*l(p) - 3*x(p).\nAnswer: 2*p**3 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-15) + (2 - (-33)\/(-15)). Let l be 1 + (6 - 10) + 743 + y. Let s = 339 + l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653240 (base 8) to base 15.\nAnswer: 44c59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -235545, -235548, -235551, -235554, -235557?\n\"Answer: -3*g - 235542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 360\/15 - 17 - -1. Solve 0 = 3*n - 5*m - 4, -26*n + 25*n - 5*m + u = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459564399 to the power of 1\/2, to the nearest integer?\nAnswer: 21437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**7\/2520 - t**6\/180 - t**5\/40 - t**4\/12 + 3*t**2. Let h(u) be the second derivative of m(u). What is h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 1269, -0.31, 0, 5, -0.3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -39.8. Let k = t - -0.2. Let n = -10 - k. What is the second smallest value in 1\/6, n, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*w - 23*w**2 - 31*w**2 - 95*w to the form g + n*w + c*w**2 and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m + 63 - 183 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 510152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-371)\/(-212))\/(7\/140)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67065249 to the power of 1\/2, to the nearest integer?\nAnswer: 8189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60155*q**2 + 3438678*q.\nAnswer: 120310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 - 556*i**3 + 8974*i**2 - 25748*i - 91872 = 0.\nAnswer: -2, 8, 11, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -21 + 11 + 0 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -344 (base 16) to base 3\nAnswer: -1010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + 1.78. Let b = 0 - -2. Let t = b - u. Is t at most as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scos when four letters picked without replacement from sojssoocossocsosc?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 129323*m. Let s(g) = -3*g. Give x(s(k)).\nAnswer: -387969*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 6*i. Let h = 83 - 77. Let b(s) = -s**2 + s. Let q(l) = h*b(l) + j(l). Let d(z) = -14*z**2. Calculate q(d(v)).\nAnswer: -980*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 + 16*f**2 - 14*f - 43. Let d(y) = -y**3 - 2. Let h(g) = 3*d(g) - i(g). Calculate h(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(119) + (sqrt(119) - sqrt(119)*2) + sqrt(119)) + (sqrt(119) - -1*sqrt(119)*3))\/(sqrt(567) - 6*(sqrt(567) + sqrt(567)*-1)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9585043us in nanoseconds?\nAnswer: 958.5043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 459 = -361. Let s = 106 - r. Calculate the highest common divisor of s and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37332 by 9333.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3855405 and 8265.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -182 and -2635.8.\nAnswer: -2817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -96, -168, -268, -396, -552?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 12:20 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770 = 8*n - 802. Let d(k) = 3*k**2 + 2*k + 3. Calculate d(n).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7 = -19. Let o(a) = -4*a + 5. What is the remainder when ((-82)\/s)\/((-2)\/4) is divided by o(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29\/84 - -2\/21. Let g(n) = -4*n - 3. Let z be g(-2). Suppose -z*b + 0*i - 2*i - 7 = 0, -4 = 4*i. Which is greater: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 48. Let l(s) = -s**3 - 4*s**2 - 3*s - 3. What is l(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -199 + 200. Which is the third biggest value? (a) 0.1 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 9. Let a(w) = 8*w - 10. Let f(t) = 4*a(t) + 5*g(t). Let l be f(-5). What is the greatest common factor of 140 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 11*q**2 - 4*q - 34. What is h(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -1598, -3584, -6354, -9902, -14222, -19308, -25154?\nAnswer: -31754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (15 - (2 - 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/5 + 5424*w\/5 + 147906\/5 = 0 for w.\nAnswer: -27, 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -1.3. Let y = -6.897 - -7.297. Which is the closest to 1? (a) y (b) -5\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 367 - 1565*k - 1167 + 401 + 402 in the form m*k + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*a + 56*a + 20*a**2)*(-3*a + 0*a + a + (0 + 1 + 1)*(a + 0*a - 2*a) - 3*a - 3*a + 7*a - 2*a + 0*a - a + 3*a + 2*a - 3*a + 0*a + 3*a - 5*a).\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, 204 in increasing order.\nAnswer: -5, -1, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/7 + 10\/7*r**3 + 32\/7*r - 38\/7*r**2 = 0 for r.\nAnswer: -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53250130 divided by -26625065\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 938687383 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = -5. Suppose -7*g + h*g = -36. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1139 - 1137. Let d = 152\/51 - 10\/3. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 10*t**2 + 0*t**2 - t**2 + t**3 - 8*t**3.\nAnswer: -7*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = -5*t + 468. Suppose 4*c - 980 = t*c - 3*v, 4*v = -3*c + 1469. What is c rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65178.615452476 minus 0.8?\nAnswer: 65177.815452476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900) + -1)**2 + (sqrt(1900) - (sqrt(1900) - (sqrt(1900) + sqrt(1900) + 1 + 4))).\nAnswer: -20*sqrt(19) + 7606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a415 + -3?\nAnswer: -1a418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 14. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = 5*x, -4*x - x = f - 6. Let m be x - (-3)\/6*478. Let s = -91 + m. Calculate the highest common factor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -874 + 885. Calculate the remainder when 1462 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15835.\nAnswer: 5, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - -112. Let c = -251 + m. Let v be 3 - ((-64)\/(-12) + -1). What is the smallest value in c, 2, v, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 12*h**3 + 13*h**3.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -620 + 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2448)*1 + sqrt(2448) + (sqrt(2448)*-2)**2 + -2 - -6*sqrt(153)\/(sqrt(27)\/sqrt(3))*4.\nAnswer: 48*sqrt(17) + 9791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010687713 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/11 + 8388*o\/11 + 8774416\/11 = 0. Calculate o.\nAnswer: -2198, -1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17628 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*u + j - 4, 37*u - 3*j + 236 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27587, -27457, -27327?\n\"Answer: 130*a - 27717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39688925 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -793364 by -10439.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 at least as big as 754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.003, -8.8, -1, 1.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k - 16828*k**3 - 13*k + 41673*k**3 + 35*k.\nAnswer: 24845*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13614301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1 - 3)*(2 - 3). Suppose -i = c*a - 195, 0*a + 2*a = 3*i + 141. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.1345 litres in millilitres?\nAnswer: 616134.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -68, 2\/3, -2\/7, 1, -0.02?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 4 - -2)*1. What is i in 121*i + 200*i**2 - 4 + 80*i**c + 14 - 36*i = 0?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -222976622318.\nAnswer: -222976622318.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Find the second derivative of -u**2 + 1 + c*u - 1 - 8*u wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**3\/3 + 17*v + 2. Let m(k) = 59*k. Determine m(g(p)).\nAnswer: -118*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.51929704 rounded to 4 dps?\nAnswer: -7.5193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69268935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6284 + -4144. Let y = g + -1502. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -i - 1, 5*x - 4*i - i - 35 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36371530 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: Collect the terms in 1270*r**3 + 281*r**2 - 281*r**2 - 1156*r**3.\nAnswer: 114*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, r: 7}. Give prob of sequence rrl.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 374, 281, 96, -211?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2689*m - 2*p = 2688*m - 1, -4*p - 52 = 4*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 28959181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 34*c**3 - 7 - c**2 + 16*c**3 + 46*c**3 + 2*c**4 + 6 - 2*c to the form t*c**2 + f*c**4 + d + a*c**3 + j*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -5, -2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-42) + (-32)\/42*(-20)\/(-1840)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at least as big as -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -1 + 9. Let h = 6 - y. Let k = 6 - h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 4*n**2 - 25*n + 21. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by -3.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -o - 5*i, -2*o + 3*o - i = 18. What is the remainder when 66 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 58, 3\/2 in decreasing order.\nAnswer: 58, 3\/2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 28 = -i - g, 0 = 5*i - 2*g - 48. Let p be (0 - -1) + i + -4. Solve 8*b - p*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5710.93 + -125104.5\nAnswer: -130815.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 640, 1017?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1043114 (base 5) to base 9.\nAnswer: -27373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2418314 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -616 and -66097919442?\nAnswer: 66097918826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 1, a: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0279, -1, -3\/7 in increasing order.\nAnswer: -1, -3\/7, 0.0279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2510*f - 3193*f - 2)*(0*f**2 + f**2 - 3*f**2).\nAnswer: 1366*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13\/3, -683, 0.034.\nAnswer: -683, -13\/3, -4, 0.034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0.06 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.299 + -0.299. What is the biggest value in -2\/33, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 31786 + 88994. Round s to the nearest one hundred.\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 4108?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:35 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (576 + -3 - 2). What is the units digit of (-1)\/2 + b\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - ((sqrt(500) + -1)**2 + -4)) + -4.\nAnswer: -501 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-465)\/(-17) + (-8562)\/24259?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(605) + -3 - 6*(sqrt(605) + -2 - sqrt(605)))*-2*-1)**2 + -3.\nAnswer: 28512*sqrt(5) + 98781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/3)\/(30\/6885)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {o: 1, v: 1, t: 1, h: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - s + s - s**3 + 6*s**3 - 2*s**3 + (-1 + s + 1)*(1 - s**2 - 1) - 90683*s + 90683*s + 1665*s**3.\nAnswer: 1670*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2*5\/120). Suppose y - r = 3*o - 94, -4*o + 5*y = -86. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165425286 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*p + 5 = -234*p, -2*p = 4*q + 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 934882 = 4*t - 3665707, 3*w - 2730785 = -4*t. What is t rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 43*v - 40. Give y(18).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3094*p - 371 wrt p?\nAnswer: 3094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-3 - 1737\/2). Let t = h - 857. What is the common denominator of 417\/(-84) + 2\/(-7) and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 531*y - 17556.\nAnswer: -3*(y - 133)*(y - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/4 - 15*o**4\/4 - 289*o**3\/2 - 663*o**2 + 2590*o + 10200 = 0.\nAnswer: -10, -3, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + s**2 - 4*s + 4*s. Let p(j) = -15*j**2 + 5*j**2 + 8*j**2. Give i(p(m)).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c + 57. Let w be p(-5). Suppose -3*s + 518 = 158. What is the greatest common divisor of s and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*t - 93 + 32*t - 16*t with respect to t.\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10399+0.4\nAnswer: -10398.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:08 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*d + (-2 + 1 + 3)*(d + 0*d + d) + 4*d + 2*d + 2*d)*(0*d**3 + 0*d**3 + d**4) + (-2*d + 0*d + d)*(-2*d**4 + 2*d**3 - 2*d**3) + 35 - 4*d**5 - 35.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:14 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = -5 + 41 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 plus -0.196?\nAnswer: -0.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n**2 - 16*n + 84. Is a(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 161, 219, 277, 335?\n\"Answer: 58*p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1359 + 1361 = -5*q, 4*q + 10 = 5*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 3. Let h(u) = 6*u + 4. Let r(a) = 27*a + 18. Let w(t) = -24*h(t) + 5*r(t). Determine -13*p(o) - 6*w(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 + 528*t**3 + 3*t**2 - 528*t = 0.\nAnswer: -1, 0, 1, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6207071 divided by -18.\nAnswer: -6207071\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f + 17*f + 1836 + 18*f - 612 - 9.\nAnswer: -f + 1215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0878217 litres?\nAnswer: 87.8217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w. Let z(l) = -15*l**2. What is z(c(b))?\nAnswer: -735*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 9. Calculate z(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 5. Let a be t(4). What is the units digit of a\/(3 - (-22)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205335347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -7*r + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 10 = 2*z + 34, 10 = -5*z. Let t be ((-6)\/(-15))\/(1\/180). Let x = t + -214\/3. Which is the nearest to x? (a) 2 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3 = 2*s + 5*d, 2*d = -5*s - 3. What is the common denominator of -67\/4 and (-55)\/s*15\/210?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.138324*-0.045\nAnswer: -0.00622458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317 + -203. Let b = y - 109. Suppose -12 = 5*s + 3*c - 44, -b*c + 28 = 2*s. Solve -4*m - z + 21 = 2*z, -4*m + s*z = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*t + c + 30 = -140*t, 4*c = 3*t - 1. Solve -6*r - t*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -2. Let y = 8 + z. Suppose -5*f = -y*f - 1220. Round f to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -1, -0.09, -51, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 2*h)*(13*h + 4404 + 53*h - 4405).\nAnswer: -132*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-10) - 21\/210) + 34\/10. Solve 0 = u*g + 5*t - 2*t - 15, 0 = -5*g - 3*t + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) -0.05 (c) 5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 36*s**2 + 2*s + 40. What is m(-36)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 115874.\nAnswer: 57937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/((294\/(-3612))\/((-319)\/(-44) - 9))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154325844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 400241?\nAnswer: 5\/400241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/(-1204) - (-176)\/3784.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -440 + 835. Let q = 393.08 - c. Round q to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391 + -200. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -91, -144, -205, -274, -351?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-13*t**5 + 12*t**5 - 11*t**5) + (t**2 - 5*t**2 + 5*t**2)*(-3*t**3 - 2*t**3 + 4*t**3).\nAnswer: 23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2195631 and 40068.\nAnswer: 184433004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 7*l + 1 + 28*l - 10*l + 3*l**2 - 4*l to y + d*l**2 + x*l and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28256, 56373, 84496, 112625?\n\"Answer: 3*x**2 + 28108*x + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:13 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/2 - 449*z**4\/3 - 35624*z**3\/3 - 100683*z**2 - 1122445*z\/6 - 294350\/3 = 0?\nAnswer: -145, -7, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 667364 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318576638?\nAnswer: 2, 3, 3049, 72077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 36*h + 71. Calculate the remainder when n(-32) is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from bbjbbjbbbbbbjjbbbbbj?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1045 and 24415.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3163 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p - 3*o + 8, -3*p = -5*o - 50. Suppose -5*b + 0*b = -p. What is the third derivative of 3*u**b - u**2 + 0*u**6 - u**6 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 74855, 166209, 257563, 348917, 440271, 531625?\n\"Answer: 91354*s - 16499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170) + 1*sqrt(170) + sqrt(170))*-2)\/(sqrt(1000)*-2).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = 10. Let g(d) = 3 + 5 + u*d**3 - 5*d - 4 - 3 - d**2. Is g(3) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, g: 3}. What is prob of picking 2 m and 2 g?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116267986*i**2*m - 4*i**2 + 631411*i with respect to m.\nAnswer: -116267986*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 - 20 - 9*n + 20 + 0*n**4 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/17? (a) -0.4 (b) 6 (c) -1 (d) 2\/7 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17*r + 63. What is f(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1245364 (base 7) to base 12\nAnswer: 7a247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:48 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 915318.9 centuries in decades?\nAnswer: 9153189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 514.4 + -514.3. Which is the third biggest value? (a) m (b) -0.1 (c) 0 (d) -5\/4 (e) -378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206615 + -51251?\nAnswer: -261166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**3 - 22*g**2 - 18*g - 10. Let t(n) = -4*n**3 + 10*n**2 + 9*n + 5. Let h(v) = -3*a(v) - 7*t(v). Suppose -15 = -3*z + 3. Is h(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - -3. Suppose 4*c - 5*y - s + 1 = 0, 7 = 4*c + 5*y. Solve -r - c*q - q = 0, 0 = 3*r - 2*q - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 22\/19 (b) 0.2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4484950 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 2. Let j(q) be the first derivative of -q**3\/3 - 5*q + 1. Determine 2*j(z) + 5*x(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 + -106. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*c**2 + 8 - 100*c**3 + 29*c**2 - 154*c**2 - 5 - 1.\nAnswer: -100*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + -6. Let t = l - -13. Let n be -4 + 3 - t\/3. Sort -0.5, -0.4, n in ascending order.\nAnswer: n, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 6 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14783 + 14788. Which is the second smallest value? (a) 0.3 (b) k (c) 0.1 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55471?\nAnswer: 13, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1442\/6 + (-4)\/(-6) - 3. Let f = g + -115. Let t(v) = -24*v**2 + f*v**2 - 53*v**2. Let k(i) = -2*i**2. Give k(t(h)).\nAnswer: -4232*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6802 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7.038 (b) -5 (c) 0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 + -1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2316 or -236320?\nAnswer: -236320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4484 and 9272?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(sqrt(3)*1*-5)**2.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:16 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.543 + 3.643. Let q = 0.07 + 0.93. What is the closest to j in q, -1\/13, 5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9212*c**2 - 9212*c**2 + 18427*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-127 - -34) + 80 - (6 + -2 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(1\/2)))\/m*(m\/(m*m**21))\/m*m)**(-2\/25) assuming m is positive.\nAnswer: m**(43\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6096860.\nAnswer: 2, 5, 7, 11, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w**2. Let u(a) be the first derivative of a**3\/3 + 3. Calculate u(b(d)).\nAnswer: 121*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429998392 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549 a factor of 38497297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -511 - -540.9. Let k = m - -7.1. Let q = k - 34. Which is the third smallest value? (a) 0 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 22*b**2 + 8*b - 20. Let f be j(16). Let x = f + -607. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a1 - -6?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t*t*t**(-2\/3)*t)**(2\/105)\/((t*t\/(t**4*t))\/(t\/t**(-1\/3)))**(-27\/2) assuming t is positive.\nAnswer: t**(-7375\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u - 20. What is the hundreds digit of n(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238299825?\nAnswer: 3, 5, 3177331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9767, -19545, -29327, -39113, -48903?\n\"Answer: -2*h**2 - 9772*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -254*a + 3. What is the hundreds digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96532831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44634769 and 0.133?\nAnswer: 44634768.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -12 + 13. Suppose -h + 4*l - 2 - q = 0, -2*h = -4*l - 6. Does 8 divide -12*(1 + (-3 - 12\/h))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 19\/79?\nAnswer: 19\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206339, 206744, 207149, 207554, 207959?\nAnswer: 208364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5003833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2555, -5124, -7691, -10256, -12819, -15380, -17939?\n\"Answer: x**2 - 2572*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 6*b - 5. Let c be l(6). Let d = c - -73. What is the greatest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**5\/4 + c**4\/6 - c**2\/2 - c. Let k be h(-1). Let w = k + 12. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -21*p. Let y(f) = -2746*f**2. What is o(y(r))?\nAnswer: 57666*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 11*b - 42. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -40, -81, -130, -181, -228, -265, -286?\n\"Answer: k**3 - 13*k**2 + 5*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16951 = 1858*v - 1605*v for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-8 + (-18 - 0 - -18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s. Let y = s + 99. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + v = 16387, 4*f + 3*v - 21861 = 4*v. Is (f\/(-1 - 3))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 14631644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15 from -10.302166201.\nAnswer: -10.152166201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4432821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -19. Let t = -1.7 + l. Put 5, 2, t in ascending order.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) - (sqrt(72) - (-4 + 2*sqrt(72) - sqrt(72) - sqrt(72))) - (sqrt(8) + 2 - (-5 + sqrt(18) - sqrt(2))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 35*z - 30. Let m be q(9). Let o be (-3)\/((-495)\/(-168) - 3). What is the greatest common divisor of m and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/13)\/(8\/260*-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 15*r**2 - 13*r - 12. Let d = -23 - -25. Suppose 0*v + 28 = d*v. Let a be s(v). Calculate the highest common factor of a and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-2)\/(-39)*-51. Suppose 0 = 5*r + 3*n + 529 - 523, -5*n - 10 = -5*r. Is a smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((91\/14)\/(-13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/(-33) + 10\/(-55). Let c = -2 + 2. Is c less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -118, -144, -184, -244, -330, -448, -604, -804?\n\"Answer: -a**3 - a**2 - 16*a - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 1079832*j**3 + 97199992944*j**2 + 5440660103424*j + 76157391055872.\nAnswer: 3*(j + 28)**2*(j + 179944)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 = -17. Let x(u) = -25*u**2 - 4*u + 7. Let b be x(h). Let c = 351 + b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 226660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 3, -42 = -5*g + 4*o. What is the tens digit of (-2)\/g + (-21)\/(-9) + 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(25)\/(sqrt(5)*-1))*-3.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 33137.4 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*785922.\nAnswer: -133606.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*1)\/(sqrt(12) + sqrt(12)*2).\nAnswer: 7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 26*q**2\/7 - 4*q.\nAnswer: 2*q*(q - 14)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92147 is divided by 404.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 3*q**5\/100 - 29*q**4\/40 - q**3 - 20*q**2. Factor p(t).\nAnswer: 3*(t - 10)*(3*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3365595 to 2 decimal places.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 2031*v**2.\nAnswer: -3*v**2*(v - 677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 + 1466\/14. Suppose z = 6*z - p. Solve 5*d - g = 3*d + 2, -5*d - 4*g = z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**3 + 3*o**3 - 8*o**3 - 12*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3883 is divided by 143.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:02 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/8 + 7*d**3\/2 + 2*d**2. Let q = -330 - -323. Let o be z(q). Solve o = -10*m + 5*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 - 5 = 0. Suppose d*p = 2*p + 10. Suppose p*i = -4*r + 183, -4*r - 4*i = r - 240. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -462*c + 30. Let g(s) = 40*s - 3. Let a(w) = -21*g(w) - 2*o(w). Calculate a(-1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/24 - l**3\/6 - 11*l**2\/2 - 13*l. Let o(k) be the first derivative of i(k). Let u = 10 + -4. Determine o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 4*o - 8, g - 20 = 5*g - 4*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-132 + 95 - 72).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2187*i**5\/5 + 18225*i**4 - 383778*i**3\/5 + 229092*i**2\/5 - 48936*i\/5 + 3552\/5 = 0?\nAnswer: 2\/9, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36\/11 + -158\/55. What is the biggest value in 1, 3, d, -2\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 13 + 3, -2*h + 3 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6948 (base 10) to base 8\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24545, -48634, -72723, -96812, -120901?\n\"Answer: -24089*p - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 361 - 361. Put 13, h, -6, -4 in decreasing order.\nAnswer: 13, h, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -25, 12, 87, 206, 375?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(2\/39 - 0). Let z = 469 + -499. Let l be -5 + (-177)\/z + 12\/(-30). Put l, -2, 0.4, h in decreasing order.\nAnswer: l, 0.4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 165, 0 in increasing order.\nAnswer: 0, 13, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 91*t - 872. Determine i(80).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from rrrhrhrrrhrr?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 3 + sqrt(175))*-1.\nAnswer: -10*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 332 = 5*x. Suppose x = -3*a - 2*a. Is 2 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2045 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(58*15\/4350*(-10)\/(-4))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 18 = -41*j. Let u = -62 + 64. What is the highest common factor of j and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(10\/3)*y)\/y*y)\/(y**(2\/27)*y))\/(y**(-2\/5)*y**(-7\/6)))**(-22) assuming y is positive.\nAnswer: y**(-14333\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 12 = -14*f. Let c(a) = -11*a - 5. Let u(n) = 5*n + 2. Let o = -7 + 20. Let h(l) = o*u(l) + 6*c(l). Calculate h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56448 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-126 - 20)) + 98 + -132?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*n + 310 = 80, -4*n - 4 = 0. What is the remainder when 54 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y + 12 = 0. Let p = -352 - -353. Put -5, 3, y, p in ascending order.\nAnswer: -5, y, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 51 = z - 66, -3*z - i + 21 = 0. Let t(d) = -6*d - 5. Let c(o) = -6*o - 6. What is z*t(n) - 5*c(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = 364 - 337. Let q be 1\/(2\/(4 - 2)). Put 2, p, q, -2 in ascending order.\nAnswer: -2, p, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.6, -1.6, 22\/9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**3\/3 + 2*s**2 + 3*s - 4. Suppose 0*f - 12 = 3*f. Let w be v(f). Solve 0 = 2*n - w - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 37*v**6\/180 + v**5\/40 + v**4\/24 - 3*v**3\/2 + v**2. Let h(m) be the first derivative of t(m). Is h(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -679, -1379, -2093, -2827, -3587, -4379?\n\"Answer: -f**3 - f**2 - 690*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 9. Give l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 - 231.58. Let p = 0.02 - z. Let y = p - -0.4. What is the smallest value in -2\/9, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -3 - (55 - 52). Which is the second smallest value? (a) z (b) 0.15 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7241 - 195470\/27. What is the common denominator of m and -47\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + 6*y**4 + 3*y**4)*(-3 + 6 - 1 - 3 + 5 + 0 + (0 - 3 + 2)*(-2 - 3 + 7) + 4 - 2 - 3 + 1 - 5 + 5 + 2 + 3 - 6).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5260 = -485*i - 41*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47263668677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*m - 0*x + 77, 0 = -x - 1. What is the remainder when m is divided by (2\/6)\/(13\/390)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 + 412. Suppose -26 + m = 3*c. Suppose -5*v = -92 - 28. Calculate the highest common factor of v and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 3\/((-834)\/524). Let p = -4245\/556 - u. Find the common denominator of p and -29\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -34 and -36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180739263, 180739268, 180739273, 180739278, 180739283?\nAnswer: 180739288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 10*f - 12. What is c(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p - 5. Let c(q) = -24. Let f(j) = 4*a(j) - c(j). Let w(g) = -g**3 - 5*g**2 - 5*g + 5. What is 5*f(v) - 4*w(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 4*x**2 + 3. Let v be r(4). Suppose 0 = h + v, 2*h - 178 = 4*z. What is the units digit of (-12)\/(-30) - z\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10913236 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f + 12. Sort 0, 7, f, 2 in descending order.\nAnswer: 7, 2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 7}. Give prob of sequence fg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 32 = 2*a + 4*q, -4*a + 36 = -q. What is the common denominator of 105\/4 - (-2 + 3) and (-92)\/a + (-2)\/(-3) - 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -12*i**3 - 101*i**2 - 123*i + 225. What is o(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m + 47. Let h be l(9). Let p = h + 76. Solve p*i = 23*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 13. Let g be y(13). Let p(t) be the third derivative of 0 + g*t**4 + 0*t - 2*t**2 - 1\/330*t**5 + 1\/33*t**3. Let p(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**3 - 1 - 2*s + 0*s**3 - 1 - 5 to the form n + u*s + o*s**3 + y*s**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.396*1275.\nAnswer: 504.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 3*v**2 + v - 4*v + v**2 in the form z*v + m*v**2 + b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53669 and 2542?\nAnswer: 3327478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -2\/19, 125\/4, 2\/19, 97?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 22634 - 22634.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -32. Which is the nearest to -1? (a) w (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 81, 32, -73, -252?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l = -37*l + 357. Let z be 126 + (2\/6)\/((-3)\/27). Let n = z - l. What is the lowest common multiple of 6 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {n: 1, t: 1, h: 5, b: 1, z: 4, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1453*l**4 + 2177*l**4 - 800*l**4 + 1443*l**4)*(-2 + 4 - 4)*(0 + 1 - 5) as i*l**3 + d*l + y + u*l**2 + b*l**4 and give b.\nAnswer: 34184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 308108\/691 or 446?\nAnswer: 308108\/691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*70.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 + -18 - (24 + 2)) + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*t**2*z**2 + 100*t**2*z - 5*t**2 - 43*z**2 wrt z.\nAnswer: -62*t**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/7)\/(-16))\/(2\/2)*40\/345?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 137 = 2*w - 141, w - 2*d + 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, -3, 0.1, -9 in decreasing order.\nAnswer: 0.1, 0, -3, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4039 + 4.4099. Let s = v - -0.0162. What is s rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378338, 756668, 1134978, 1513262, 1891514, 2269728, 2647898, 3026018?\nAnswer: 3404082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52232\/7 + 7472. What is the third smallest value in 0.2, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1415, -5727, -13009, -23339, -36795?\n\"Answer: -13*l**3 - 1407*l**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9525400 by -20.\nAnswer: -476270","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 7912 + -7852. Calculate the smallest common multiple of j and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/u)\/(u*u\/(((u\/u**3*u)\/u)\/u*u))*u**(-2\/5)\/u*u*((u*u**1)\/u)\/u assuming u is positive.\nAnswer: u**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r + 7. Let p(q) = -5 + 22*q - 23*q + 7*q. List the prime factors of p(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*b - 5. Let x be (-5)\/((-10)\/(-8)) - -12. Let s be (2\/b)\/((-1)\/x). Calculate the greatest common factor of 32 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1460*-30.\nAnswer: 43800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51772149 and 121847.\nAnswer: 6413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -25\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -28*y + 546. Determine p(20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -0.2 (c) 2\/323 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832568 is divided by 1875.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2919*o**2 - 1867*o - 5. Let w(v) = 5*v**2 - v - 1. Let k(d) = -s(d) + 4*w(d). What is the second derivative of k(c) wrt c?\nAnswer: 5878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-33)\/(-99))\/(1\/(-3))*9)\/7.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:54 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3))**43*(m**(-6\/13)\/m)\/m**(-14) assuming m is positive.\nAnswer: m**(2725\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 2. Is 7167 - (d - 1) - -8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 14*l - 15*l = -36*r - 334, -3*r - 19 = -l for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002559642 rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/21 + ((-16)\/(-3) - (-608197)\/(-15519))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5656112, -5656115, -5656128, -5656157, -5656208?\n\"Answer: -r**3 + r**2 + r - 5656113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = -4*p - 1, -5*p = 2*k - 4. Suppose -41 = -a - p. Let o be a\/15 - (-2)\/5. Put -2, o, -1 in ascending order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 543*c**3 + 2190*c**2 - 79200*c = 0. What is c?\nAnswer: -176, -15, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.55 + -1.55. What is the closest to 0.1 in 5, -3, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/3 + 3)*-6. Let l(f) = 4*f - 14. Let g be l(t). Suppose -g*v - j + 6 = -v, -j = -4*v + 14. What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 4*r + 3. Let u be j(4). Let s be (((-36)\/(-10))\/u)\/((-19)\/(-570)). What is the highest common factor of s and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105080 + 0.22.\nAnswer: 105080.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 957793378 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*m + 2*h, 4*m - 5*h - 11 - 8 = 0. What is the closest to 7 in -0.2, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211745\/68 - -3114. Suppose 4*q = 4 + 12. Suppose -q*s + 134 = -26. Calculate the common denominator of m and s.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00486166 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*b*f**2 - 67*b*f - 69*f**2 - f wrt b.\nAnswer: -24*f**2 - 67*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374*v = -17*k - 1370*v + 2749*v - 211, -3*v = -2*k - 20 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201 - 199. Suppose q = v*a + 136 + 35, -q + 183 = -5*a. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 156?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:51 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-4 - 2 - -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - y + 5*y - 13, 2*y = -p - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, -43 in descending order.\nAnswer: 4, -24, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1240025\/6656 + 2422\/13. Is -1 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(7 + 0\/(-1)). Let u = 163 - 166. Which is the smallest value? (a) 2\/3 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 15 - 3 + 732*j**2 - 9 - 5742*j**2 + 0 - 2.\nAnswer: -5010*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33661, -33837, -34129, -34537, -35061?\nAnswer: -35701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7868, 7932, 8042, 8198?\nAnswer: 8400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773349867.\nAnswer: 103, 911, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 11*s**2 + 2. Let j be c(11). Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**5\/25 - 27*q**4\/10 - 118*q**3\/5 - 277*q**2\/5 - 252*q\/5 - 2586. What is j in w(j) = 0?\nAnswer: -18, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 25, 0*g + 130 = 5*b - g. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6005 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1100) + 4) - (((sqrt(891) - (sqrt(891) - 4*sqrt(891))) + sqrt(891) + sqrt(891))*-2)**2.\nAnswer: -128316 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 4 (b) -1\/621 (c) 3 (d) -5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + (sqrt(500) - (sqrt(500) + 0)**2) + sqrt(500) - (3 + (sqrt(500) - (sqrt(500) + -1 + 5 - sqrt(500))))**2)*6 + -4.\nAnswer: -6016 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13 = -203. Suppose 3*h = 6 - 3. Let v be (0 - (h - 2))*12. What is the greatest common divisor of p and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149*f**4 - 124*f**3 - 614*f - 5512038?\nAnswer: -596*f**3 - 372*f**2 - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -42. What is the greatest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l = 72*l. Let x(b) be the second derivative of 0*b**2 + l + 1\/40*b**5 + 4*b - 1\/12*b**4 + 1\/12*b**3. Solve x(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 951*v**2 + 21*v. Let h(w) = 95*w**2 + 2*w. Calculate -2*b(i) + 21*h(i).\nAnswer: 93*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3*m + 108, 5*a + 7*m - 212 = 4*m. What is the greatest common divisor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 21, 5, -229?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6 and 73\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**3 - 2*s**2 - 4*s. Let z(o) = -6*o**3 - 3*o**2 - 6*o + 1. Calculate 4*m(d) - 3*z(d).\nAnswer: -10*d**3 + d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(193\/(-3088))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5 = 792*x - 787*x, -3*u + x + 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 9:09 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 17 (b) -0.03 (c) 1\/2 (d) 1\/5 (e) 163 (f) 2\/3 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 9. Let n be f(7). Let j = 2 - -1. Suppose -8 = -j*t + 10. What is the highest common factor of t and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 546*j - 465.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p - 230 - 1662. What is the smallest common multiple of p and 20?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78601 is divided by 39277?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-4 + 11 + -4)) + 35\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1408 = -2*d, -d - 1767 = 15*g - 20*g. Is 33 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48098669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 3420367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/40 and (2 - (-542)\/(-180)) + (-32)\/64.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9884*z**5 + 9277*z**2 + 2 wrt z.\nAnswer: 593040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-5) - -2 - 0. Which is greater: n or -217?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-14) - (-20)\/70. Let q be ((-4)\/(-5))\/(o\/10). What is the second derivative of 6*i**3 + q*i**2 - 4*i**2 + i**3 - 2*i wrt i?\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-80))\/(2\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3\/31, -5, 15.19?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268 divided by -2.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2100 and 13615?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2706514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b + 782 - 683 = 5*k, 0 = -3*b - 5*k - 33 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 46*q + 911. Calculate n(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2003*b - 8876. Is f(-51) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(31 + 27 - 22)*(-1 + 1 + 3*j).\nAnswer: 108*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 11773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i**2 - 5*i - 11. Let p(w) = 11*w**2 + 4*w + 9. Give -4*b(n) - 5*p(n).\nAnswer: -11*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 220133332 (base 4) in base 6?\nAnswer: 3315554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125741 * 17.78.\nAnswer: -2235674.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -114325 bigger than -114462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7*-1)\/(10 - 9). Let u = -10 - -7. Let p = u - o. Solve -2*z = -14 + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689172.\nAnswer: 2, 3, 11, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 577 + -577.2. Let l = 0.66 + 2.36. Let f = l - 0.02. What is the closest to -1\/2 in -5, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34dce4 (base 15) in base 16?\nAnswer: 2690b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1301661 by -1301661.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, 75, 0.1, 1, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153 + 3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from lbglglbllglgllggb.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, -1429, -2949, -4465, -5977, -7485, -8989?\nAnswer: -10489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -31*w**2 + 19*w - 12. Calculate z(2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -645 - 1.146.\nAnswer: -646.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*a + 2*h - 45, a + 2*h + 13 = 0. Let g(m) = -m**3 - 11*m**2 + 12. Let f be g(a). Is 140\/8*f\/5 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37742, 37750, 37758?\n\"Answer: 8*o + 37734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-368)\/(-3128) - (-19769)\/17 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 5*f + 31, -f = 3*y - 14. Solve -o - d - 18 = -5*o, -y = o - 4*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/32)\/(2\/8). Let m be (-17)\/k - 6\/9. Suppose m*y + 5*f = 210, 0 = -7*y + 3*y - 2*f + 172. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -359706 in decreasing order.\nAnswer: 5, -7, -359706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5026?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 29 - 10)*(0*l + 0*l - l)*(384 + l - 74 + 80 + 4).\nAnswer: 53*l**2 + 20882*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25*(-12)\/(-480))\/(10\/12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g**3 - 2*g + 6. Let c(t) = 23*t**3 - t**2 - 4*t + 13. Let b(u) = -3*c(u) + 7*k(u). Is b(2) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 401*a + 95845. Give z(-239).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -101\/33910?\nAnswer: 271280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h + 1. Let o be t(-1). Let k = 49 + -53. Let b = o + k. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 3 (c) 0.2 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88271286499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:12 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 23*v**2 - 569*v - 113. Determine h(25).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -60?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157088 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(21)*-1 + sqrt(21) + sqrt(168)\/(sqrt(32)\/sqrt(4)))\/(-2*(sqrt(192) - (2*sqrt(192) - sqrt(192))*-1)).\nAnswer: -3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 8. Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 19*c = 13*c - 36. Let 9\/8*k**5 + 0 + 63\/4*k**3 + 3*k - 27\/2*k**2 - 57\/8*k**c = 0. What is k?\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 - -687\/5. Suppose 0 = 3*m - 4*y - 5, 5*y + 20 = m - 0*y. Let v be (-1)\/(m\/3 + 2). Which is the third biggest value? (a) 0.3 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 9. Let c(n) = -5*n - 10. Calculate 2*c(d) - 3*o(d).\nAnswer: 11*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58194 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 343*l**3 + 2*l + 1. Let k be f(-1). Let x be k\/(-12) - 2\/(-6). Suppose 7*p - 2*p + x = z, p = 3*z - 115. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4470, 17970, 40470, 71970, 112470, 161970?\n\"Answer: 4500*q**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.08 + 0.08. Put a, 0.095, 2\/9 in descending order.\nAnswer: 2\/9, 0.095, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3*p**3 + 187186*m**3 - 336497*p**4 wrt p?\nAnswer: -3*m**3*p**2 - 1345988*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5713*m + 23*m**3 - 8 + 4 - 5713*m + 4.\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**5\/20 - f**4\/6 + 7*f**3\/3 + 10*f**2 - f + 149. What are the prime factors of i(-9)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Suppose -2*i + i + 4 = t. Let b = 7 - i. What is the highest common factor of 27 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.4 take away 16.83?\nAnswer: -42.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300) + -1 - (4 + -1 + sqrt(300)))*6)**2 - (0 + (-2 + sqrt(300) + -3)*1).\nAnswer: -10*sqrt(3) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1258 - 1259 + 17*z - 5*z)*(-10 + 10 + 3*z**2)*(1 + 6 - 20) to t + g*z + j*z**3 + s*z**2 and give j.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2005149652 to the nearest integer?\nAnswer: 44779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 18*c - 13. Let o be x(8). Let l(w) be the third derivative of w**4\/8 - 2*w**3\/3 - w**2. Calculate l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106553271 is divided by 255?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -72 + 12 + (1 - -18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epceaa. What is prob of sequence pee?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21.7 in -0.05, 0.2, -3\/4, 18?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5\/12)*425\/(-3315)*1\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -224 - -216 - (-58 - ((-2 - -5) + -1))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -0.36, -1\/3, -23\/157, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.4 + -10. Let n = -1.1 - p. Which is the closest to 0.1? (a) n (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 36*c + 71. Let y(j) = 17*j + 33. Let d(q) = 6*s(q) - 13*y(q). Let o(g) = -g - 1. What is d(l) - 4*o(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77\/306 + 1\/34. What is the closest to d in -5, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -129147395.227 and 0.1.\nAnswer: -129147395.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11605038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 206, 2, -0.8, -1.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 18*j**2 + 8*j + 2. Let a be s(-1). Are 15 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1\/120*n**6 + 0*n**3 + 0*n**5 + 0 + 1\/12*n**4 + 3*n**2 + 0*n. Find the second derivative of t(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 2*p - 2. Let t be i(3). Suppose -3*g - t = -10. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*d**2 + 8*d**3 + 12*d**2 - 11*d**3 + 2*d**6 - 3*d**6 wrt d.\nAnswer: -120*d**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 860539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1243*g**2 + 1008*g**2 - 3253*g**2.\nAnswer: -3488*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptpppttptttptpttttpp. What is prob of picking 2 p?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -71. Suppose g*w = 12*w. Solve 2*p + 3 = 3*f, 5*p - 3 = -3*f - w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 + 167.98. Let x = 0.72 + k. Which is the closest to -4? (a) x (b) 2\/19 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 a when four letters picked without replacement from {c: 3, i: 4, p: 7, a: 4}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-8)\/16)\/(12 + 39\/1430 + -12)\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7360018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w - 2*w + (3*w + 4*w - 5*w)*(1 - 2 + 0) - 2 + 2 - w + w - 2*w - w)*(-2*w + 6*w - 2*w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/2160 + p**5\/360 - p**4\/48 - p**3\/6 - 10*p**2. Let k(q) be the first derivative of a(q). Factor k(u).\nAnswer: (u - 1)*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/2)\/((-7)\/14). Let v(t) = t - 7. Let b be v(w). Suppose b = 4*a - 8 - 4. Solve 4 = z + a*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.5164 micrometers in kilometers?\nAnswer: 0.0000003745164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -11. Calculate the remainder when 35 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i - 409. Calculate n(19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00083267093 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - -5. Let m be 164 - (-2 + 1)*1. What is the greatest common divisor of m and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-110)*198\/(-108)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 52 = -5*l - a, 0 = 5*l - 3*a + 31. Let y be (-6)\/9 + 11\/3. Let j = y - l. Solve 3*z - 2*n = -1 + j, 0 = -z - 3*n - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 1040 = 354*i + 1245 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250834 * -5.\nAnswer: 1254170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4\/7 (c) 2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 15*g**2. Let h(x) = 842*x**2. Give s(h(f)).\nAnswer: 10634460*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7954442 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185764?\nAnswer: 2, 3, 7, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 39*a - 15. Is b(-29) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 108. Let q be -22 + ((-6)\/15)\/((-6)\/u). Let x be (-5)\/((-45)\/(-6)) - q\/39. What is the nearest to 0 in 3, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2307 - 5*a**2 + 67*a - 2307 in the form l*a**2 + b + u*a and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/180)\/(((-2)\/(-24))\/(6\/(-12))).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/24)\/(((-2)\/(-32))\/(30\/60))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-795)\/6*(168\/40 + -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:38 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -156 - 33 - (-32 - -55)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-3)*n**0*n**(3\/7)*((n*n**5)\/n**(-3\/4))\/(n**(-1\/4))**(1\/6) assuming n is positive.\nAnswer: n**(2221\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 832669822 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*p + 4 = 0, -u + 4*u - 5*p + 8 = 0. Solve 2*t = 4*a + 10, -u*t - 1 = -2*a + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from zovvoozvvzzvvbzv?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.19034 litres to millilitres.\nAnswer: 60190.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3737 is divided by 1797.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1477436 divided by 4\nAnswer: -369359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 2386, -7.\nAnswer: -24, -7, -1, 2386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 6. What is w(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1002\/167 + 1 + (-26 - -1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 7*p**2 - 8*p - 3. Let z = -2 - 3. Let a be g(z). Let l = a + 16. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/27)\/((-744)\/(-68634))*2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2485, -2530, -2563, -2578, -2569, -2530?\nAnswer: -2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050505461 rounded to 4 decimal places?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 33489731017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -29\/4. Let o = -5.82 + 0.02. Let g = -6 - o. Are l and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -450 by 5.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2 - 8844*d + 26496 = 0.\nAnswer: 3, 2208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6489.3 and -2410.745.\nAnswer: -8900.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z - 130. Calculate l(17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -9\/2*v**2 + 3\/4*v**4 + v + 0 - 1\/2*v**3 + 1\/20*v**5. Calculate the remainder when 52 is divided by k(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29856)\/(-10574))\/(2\/17).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 238*z - 26 = 234*z + 74, 4*g + 182 = -z for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 16. Calculate the greatest common divisor of 126 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52019488*m**4 + 366527436*m**2.\nAnswer: -1248467712*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/3 - 1256*z**3\/3 - 2504*z**2\/3 = 0.\nAnswer: -626, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 5*s - f - 33, 17 = 5*s - 2*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 8) to base 7.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 14*j)*(2 + 0 - 7)*(-5 + 1 + 3).\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69507 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 4*b**3 - 4*b**3)*(-b - 2*b + b) + b - b**4 - b.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1500*p = 1133*p + 8441 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*-9*696\/(-3132)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730250*o**2 + 730245*o**2 - 2*o**3 - 1460495*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(6\/13)*(i\/(i\/(i**(-1\/6)\/i)))**(-4\/33) assuming i is positive.\nAnswer: i**(776\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6225992 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 37 - 11. Let q be (-3)\/c + 214\/8. Let r be ((-3)\/(-9))\/((-3)\/q). Let p(m) = 3*m + 3. Calculate p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2195.\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999258.4 plus -152940?\nAnswer: 4846318.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1)\/((-1)\/2). Let l = 6 - 9. Let x(q) = -q**3 + 6*q**2 - 6*q + 3. Let g be x(5). Sort c, g, l in descending order.\nAnswer: c, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3 - w + 2 + 3. Suppose 0 = -4*t + 5*b + 5, -4 = 4*b + 16. What is the units digit of s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q\/q**(-4\/25)))\/(q**(2\/31)*q*q**6*q) assuming q is positive.\nAnswer: q**(-8699\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8577, 8584, 8595, 8610, 8629, 8652, 8679?\n\"Answer: 2*m**2 + m + 8574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*b - 1675 = -1299. Solve -z - r = 6, -b*r = z - 7*r - 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-30 - -49)) + (10 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m + 1. Let n(d) = -d. Let g be (-15)\/(6\/(-4) - 0). Let c be -4 - (9\/(-3) - -1). Calculate c*h(z) + g*n(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 387545\/(-155400). Let y = q - 15\/1036. What is the common denominator of 7\/(-42)*((-234)\/(-44))\/1 and y?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 9.504?\nAnswer: 11.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11671 greater than or equal to -11652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*c + 20 = 205 + 61, -15*j = -16*j + 9*c + 771 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11 and 19\/230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(((-43472)\/(-570))\/(-52))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29974 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 5*d**2 + 5*d - 2. Let v be u(4). Suppose 5*p + 5*z - 40 = 0, -5*p + 28 = -3*z + 5*z. Suppose -v*a = -0*a - p. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 4. Let x be z(0). Let o be x + 3 - 9\/(-7). What is the second smallest value in o, -2\/9, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-17 + (-1 - 13)) - -1\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 930917\/120 + (-27)\/90*5. Let l = -7756 + x. Find the common denominator of l and -113\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -66*u + 8. Calculate r(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1170 and 8905?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-1)\/sqrt(2) + (sqrt(252) + 1)**2 + 2 + (sqrt(63))**2 + -1 + sqrt(847).\nAnswer: 22*sqrt(7) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let a(h) = h**5 + h**4 + 11*h**2. Let z(w) = -4*a(w) - 44*l(w). Factor z(x).\nAnswer: -4*x**4*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.41674*-0.24\nAnswer: -0.5800176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32774 - -3152029.\nAnswer: 3119255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 831 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = v + 330, 8*i - 11*i = 4*v + 1359. Suppose 2*n - 112 = -0*n + c, 3*c - 159 = -3*n. Let y = n - v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63370.9852 + 63407. Let p = 36 - w. Let v = p - -0.007. Round v to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((3 - 1) + -1). Suppose -5*s - 5*v + 5 = 0, -f*v = -s - 4*s + 5. Calculate the remainder when 108 is divided by (-2 + s)\/(1\/(-22)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 2\/9, 32 in increasing order.\nAnswer: 2\/9, 2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1577.1 + -1577. Let d be (-4)\/14 + 10\/84. What is the nearest to -0.1 in 2\/7, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k + 79. What is u(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-59)\/(-177) - 16\/(-6). Solve s*w + 5*m = 0, -18*w + 16*w - 5 = 5*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, t: 3, k: 2, e: 5}. What is prob of sequence ktee?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.73201 minus -24?\nAnswer: 9.26799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/u*u*u*((u**(33\/4)*u)\/u)\/u assuming u is positive.\nAnswer: u**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 230*o**3\/3 + 6*o**2 + o - 13. What is the tens digit of u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + x**2 + 2*x**2 - 3*x**3)*(-3 + 0 - 81585*x + 81404*x) to the form h*x**3 + p*x**4 + y*x + c*x**2 + i and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -9, 57, 162 in decreasing order.\nAnswer: 162, 57, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)*(u\/u**(-7))\/u)**16)**46 assuming u is positive.\nAnswer: u**(16928\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/7 + 242*r**3\/7 + 4932*r**2\/7 - 968*r\/7 - 19760\/7 = 0.\nAnswer: -95, -26, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**4 - 143*a**3 + 492*a**2 - 1472096*a.\nAnswer: -36*a**2 - 858*a + 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/2*(-4)\/3. Suppose -h = -g - g. Find the first derivative of -2*k**3 - 4*k**g - 2 + 4 wrt k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/2, 0.02, 3, 1\/8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -1\/402?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.9443475 rounded to 1 decimal place?\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-5 + (2 - -2)). Solve n = 4*i - o + 20, -i - 3 = -5*o + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2. Let l(a) = 14202*a. Determine t(l(i)).\nAnswer: 403393608*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 18*d**2 - 235*d - 2092. Determine x(19).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32\/9? (a) 12 (b) 1 (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -48.5668 + 0.01345\nAnswer: -48.55335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50781 divided by 6?\nAnswer: 16927\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**4 + 0*p**4 - p**4)*(-2 + 4 - 1) + 8*p**4 + p**3 - 275*p**2 + 275*p**2 to the form m*p**2 + o*p + i + a*p**3 + d*p**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 2 + 2)*(56*m**2 + 581*m - 581*m) + m**3 - m**3 + 2*m**3 in the form u*m**3 + s + v*m + o*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/16692 and -55\/18.\nAnswer: 50076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**33*(p*p**(-1\/2))**(-50) assuming p is positive.\nAnswer: p**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -5 (b) 1\/4 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 27 - (-55 + 59)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 2*j**4 - 26*j**3\/3 - 30*j**2 - 1043*j. Determine x so that q(x) = 0.\nAnswer: -5\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 5*m + m + (37*m + 2188 - 2188)*(-7 + 30 + 39))*(3 + m - 3) + 3*m**2 - 2*m**2 + m**2.\nAnswer: 2294*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**10\/90720 + a**9\/15120 - a**8\/10080 + 43*a**4\/24 - 18*a**2. Let d(k) be the second derivative of l(k). Factor d(g).\nAnswer: -g**3*(g - 2)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3.36 (b) 1 (c) 13\/10 (d) 0.2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1*3)*(-417)\/278\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Let y(g) = g**2 - 2*g + 4. Let b be y(u). Differentiate -2 - 2*r**4 - b*r**2 + 7*r**2 wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-4))\/((-7)\/14). Find the common denominator of ((-3)\/10)\/((-3)\/(-31)) and 773\/(-30) + (-9)\/c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s = 39*s + 28. Suppose -4*r + 4*c = 635 + 1617, s*c + 8 = 0. What is r rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:30 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 100?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:26 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*q - 218*q + 66*q as x + n*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 26*l**2 - 5*l + 5. Let j be z(-18). Suppose 5*x - 15*d = -10*d + j, 0 = 3*x - 2*d - 2001. List the prime factors of x.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1428, -2857, -4286, -5715, -7144, -8573?\nAnswer: -10002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j + 4*j + 5*j + 7*j**3.\nAnswer: 7*j**3 - 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p = -890 + 1673 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 26137 and 26145 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/2))\/(((m*m*m**(-3\/2)*m*m)\/m)\/m))\/(((((m**(1\/4)\/m*m*m)\/m)\/m)\/m)\/(((m*m**(4\/7)*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22 + 0)*(-9)\/(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 10*n - 7. Let u be s(-9). Suppose -84 = -6*r + u*r. Suppose d = -2*d + r. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*d + 93*d - 176*d + 1232 = 0 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 361 = -95. Suppose a = -r + l, -4*r + 3*r - 272 = -a. List the prime factors of a.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/40 + n**4\/8 - 4*n**2. Solve i(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -w - 0*d - d, 3*d - 6 = 0. Suppose 83 = -f + 2*a - w, f - a = -179. Is 11 a factor of (f\/(-6))\/(6\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -113.242\nAnswer: -11.3242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + v - 91*v**4 + 90*v**4 + 1 to h*v**4 + y*v**3 + q*v + m + b*v**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 5*r**2 - 2 + 4 - 2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4930000 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -18. Let b(r) = 11*r**2 - 2*r - 7. Let n(f) = 17*f**2 - 3*f - 10. Let w(d) = -7*b(d) + 5*n(d). What is the remainder when w(2) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by 2\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0183*0.058.\nAnswer: 0.0010614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - ac1?\nAnswer: -ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11926979063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -34 - -40) + 5 + -3 - (-157 + 0)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332 + -2201?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + (-1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q**4 + 0*q)*(2*q + 3*q - 4*q + (2*q - 4*q - q)*(1 - 6 + 3) - 2*q + 5*q - 2*q + 0*q - q + 2*q).\nAnswer: 36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -3 (b) -1\/2 (c) -27.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from jxxzgxxzggojxxjvjoo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -154, -1, 1, 2, 3.\nAnswer: -154, -1, 1, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 1:17 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**2 - 27174308*j + 10869720.\nAnswer: 4*(j - 1358715)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 5*m + 23, -3*i + 20 = -4*m. Let f = 34 - i. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 + 15*a - 1. Let g(z) = -z**2 + 5*z. Let c(p) = 8*g(p) - 3*w(p). Determine c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 73 = -2*s. Find the common denominator of -79\/50 and (s - 0 - -80)\/(-45).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 44. Let u be 1\/4 - 38\/88. Which is the smallest value? (a) -5 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18767675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 5*s**2 + s - 6. Suppose -3*b = 293 - 272. Let m be 9*(b\/3 + 2). Calculate z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10401148?\nAnswer: 2, 2600287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:01 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 548.84 - 511. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12. Suppose m = 3*f - 6. Solve 4 = f*w, 0*w = 2*s - 4*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7812542 litres to millilitres.\nAnswer: 781.2542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let c(a) = -5*a - 3*a - 4*a + a - 26*a**2 - 11. Let d(o) = 5*o**2 + 2*o + 2. Let m(z) = -2*c(z) - 11*d(z). Give m(u(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*c + 13*c + 3*y + 16, 3*y = 5*c - 46 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 49. Let q(z) = -4*z**3 - 17*z**2 - 13*z. Let h(l) = 2*l**3 + 8*l**2 + 6*l. Give a*q(f) + 13*h(f).\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5)**(2\/47)*r**(1\/10)\/r**(-6\/13))**(3\/31) assuming r is positive.\nAnswer: r**(14193\/189410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = d - 5, -3*d + s = -2 - 3. Sort d, 25, 5 in descending order.\nAnswer: 25, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 12*r - 14. Calculate the remainder when t(15) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7943 divided by 53488.\nAnswer: 7943\/53488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102001511322 - 4?\nAnswer: -102001511330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 37*b + 14. Let s = -1 - 17. Is 11 a factor of x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20113 (base 4) to base 15\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 37902154.5 seconds?\nAnswer: 62.66890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90.202 >= 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-180)\/(-36))\/(3 + (0 - -2)). Let v(l) be the first derivative of 1\/2*l**2 - 14 + 0*l. Let m(o) = -o - 1. Calculate d*m(j) - v(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2668876 is divided by 2668863?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000088642 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208035 is divided by 104017.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 30. Determine v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 174.29?\nAnswer: 1.7429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(20\/(-130)) - 185\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1064661 and 89310.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**6\/60 - 17*d**5\/80 - 11*d**4\/8 + 125*d**3\/24 - 11*d**2\/2 + 140*d + 2. Let p(m) = 0. What is m?\nAnswer: -4, 1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107048634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Suppose u + 3*u = 8. Find the third derivative of -h*n**5 - u*n**4 + n**4 + 3*n**2 + n**4 wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 x, and 1 y when four letters picked without replacement from {f: 5, y: 1, s: 2, g: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*a - 1 + 4, 1 = -n. Let g(v) = -2*v**2 - 2*v + 2. Let d be g(-2). Let w be 13 + (2*a)\/d. Solve 4*s - s = -w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 15) to base 6.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acg when three letters picked without replacement from caglg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.859 to the nearest integer.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 193 - 5*t**2 + 4*t**2 - 204 + 2*t**2. Determine c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/((-132)\/(-18))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 457\/17 - 27. Let a be -2*(-1 + 2\/8)\/(-1). What is the nearest to a in 2\/3, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 25*s + 800. What is the tens digit of h(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24868 by -40.\nAnswer: -6217\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 841196 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x - 4. Suppose -5*m + 4*v - 49 = 0, 4*m + 37 = v - 0. Let k(i) = -22*i - 9. What is m*u(r) + 4*k(r)?\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v - 5. Let m(u) = -8 + 33*u - 12 - 1. Let j(n) = -21*d(n) + 5*m(n). Let r(i) = 2*i. Calculate j(r(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/8 in -2\/11, 273\/68, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**2 + 4*o**2 - 4*o**2 - 19*o + 19*o**3 + 19*o to k*o + f*o**3 + g + m*o**2 and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - (42 - ((24 - 12) + 13))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 86. Let x = -42 + 94. Calculate the greatest common divisor of x and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 60\/7*p - 2\/21*p**3 - 29\/7*p**2 - 183. Factor i(g).\nAnswer: -2*(g - 1)*(g + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from wwkwwwwwkkwkkw?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 5*q - 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f + 1. Let x(i) = -i**3 - 8*i**2 + 7*i + 5. Let z(d) = -2*w(d) - x(d). Does 23 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:06 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21941 and 0.2.\nAnswer: 4388.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 9 + 38*k - 26*k + 17*k.\nAnswer: 30*k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 30*j**3 + j**2 - j - 1. Let y = 311 - 310. Calculate the remainder when 54 is divided by l(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 225.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309395 divided by 2309395?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 14085?\nAnswer: -14088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*p + 3*y, 2*y = -2*p + 6*p - 10. Let c(x) = -x**3 - 4*x**2 - x - 1. Let v be c(-4). Sort p, 0, v.\nAnswer: 0, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*o - 223*o + d + 43 = 0, 0 = 2*o - 5*d - 31 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*u**2 - 26*u**4 + 55*u**2 + 12*u + 58*u**2 wrt u.\nAnswer: -312*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6465 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0632 + 0.0368. Let p = 10 + -7. Let z be p\/20 + (-2)\/(-8). What is the second biggest value in z, b, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/4 - 0 - 4\/(-1). Suppose -1 = a - 5. Suppose 7*m - 55*m**a + 107*m**4 - 9*m**2 - 53*m**c - 2 + 5*m**3 = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 9 - (8 + -9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**27)**(-1\/63)*(r*r*r\/((r\/(r**6\/r))\/r))\/(r*r*r*r\/((r\/r**2)\/r*r)*r)*r\/r**(2\/7)*(r*r\/((r*(r\/(r**(1\/4)\/r))\/r)\/r))\/r assuming r is positive.\nAnswer: r**(83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + b + 1 = 0, -5*v - 3*b = 61 - 60 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, l: 2, u: 1, o: 3, y: 4, w: 3}. What is prob of picking 1 l, 1 j, and 2 y?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (460\/(-38))\/(-2) - (-52)\/(-1118)*129.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1112 and 3316644528?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + q = -1263, -w + 4*q - 1402 = -129. Let o = w - -1277. Let t(y) = 107*y + 1. Let h be t(1). What is the greatest common divisor of h and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 1. Let k be z(-7). Suppose -5*i + k = 2*s, -4*i + 3*i = 3*s - 15. Differentiate 731*r + 10*r**2 + i - 731*r with respect to r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2142120124 (base 5) to base 16.\nAnswer: -46e0af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 3*n - 2. Let p be z(-2). Let u be -1 - (-4)\/((-8)\/(-6)). Solve p*k + u*k = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:37 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6490?\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/30 and -91\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouoowcayoaoooo. Give prob of sequence cuay.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -14.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6054036528.\nAnswer: 2, 3, 269, 468869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46361\/11408 + 1\/713. Calculate the common denominator of 1\/(-2)*(-436)\/(-24) and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-6 - -4) + 1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*i)*(-3*i + 3*i - 2*i) + 52*i**2 - 58*i**2 - 132*i**2.\nAnswer: -126*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2275 = -131*d + 834 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*q = 1, 4525*q - 8 + 4 = 2*h + 4526*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8535 divide 4720332960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337208 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/17*v + 2\/17*v**2 + 2\/17*v**3 - 8\/17.\nAnswer: 2*(v - 2)*(v + 1)*(v + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1017061 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 5. Let g = 294 + -289. Suppose -26 + 14 = -3*c. Let d(n) = 4*n - 6. What is c*d(f) + g*h(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w. Let d be k(-1). Let s(m) be the third derivative of -1\/21*m**3 + d*m + 0*m**4 - 2*m**2 + 1\/210*m**5 + 0. Solve s(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98*g + 88*g + 1 + 8 + 129*g wrt g?\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 36\/(-20))\/((-1040)\/200). What is the smallest value in 3, o, 45?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1449, 5829, 13137, 23373, 36537, 52629?\nAnswer: 71649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4727 + -4729. Suppose -5 = -5*t + 5. Sort s, t, 5 in increasing order.\nAnswer: s, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v + 12. Let g = 3 - 1. Suppose 3*r - g*c = 24, -33 = -3*r + v*c + c. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 + 2*m - 7. Let g be 3 - (-1 - (-2 - -2)). Let x(d) = 1. Let i(r) = g*t(r) + 28*x(r). What is the second derivative of i(u) wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921845879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-2576)\/(-6900))*2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140931152 to the power of 1\/2, to the nearest integer?\nAnswer: 11871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -o + 7*i + 118823, 5*o + 4*i - 594099 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*c**3 + 107 + 54*c**3 - 5*c + 108 - 215.\nAnswer: 168*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4958912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (619392\/4 - -9) + -1 + 5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -14.45. What is p rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 12214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104314922.\nAnswer: 2, 241, 216421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:27 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**8\/84 + v**5\/6 + 12*v**2. What is the third derivative of f(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 16*c + 6. Let k be x(11). Is -49 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/3 (b) 743 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 238.291 + -238. What is t rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8181096 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: List the prime factors of 375245462.\nAnswer: 2, 47, 3991973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4 - 12*g**3 + 113*g**2 + 49*g - 41 wrt g.\nAnswer: 24*g**2 - 72*g + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 2, r: 3, w: 7, v: 1, f: 3}. What is prob of picking 2 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 0*v + 3 = -13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69162*f**2 - 34579*f**2 - 34580*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1690\/(-169) + (-5471)\/(-555) - (-4)\/30. Let d = -4 + 5. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 296 = 4*w. Let h = w + -19. What is the units digit of ((-1 - 0)*h)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 != 675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -64?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 5:48 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/(-33)*6\/4. Let z = 31 - l. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(156)\/(sqrt(60)\/sqrt(5)) - (sqrt(13) + 0 + sqrt(208)) - 1*(3*sqrt(91))\/sqrt(7)) + 5.\nAnswer: 5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z + 2*s - 8, 3*z = s + 12. Let m(n) = 5*n - 3 - n + 3. What are the prime factors of m(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*i**5 + 22*i**5 + 5*i**5 + i**5 + 0*i**5 - 2*i**5 + (-5 + 5 - 2*i**2)*(-2 - i**3 + 2) - 2*i**5 + 0*i**5 + i**5.\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3877*l*w**5 - 13*l*w**2 + 7*l + 1592*w**5 + 596*w - 20 wrt w.\nAnswer: -232620*l*w**2 + 95520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*28\/(-100)*-5*5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/140)\/(-6)*100\/8)\/(720\/6336)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19427299 is divided by 61.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1371, -1407, -1463, -1545, -1659?\n\"Answer: -o**3 - 4*o**2 - 17*o - 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - 2\/56. Let q = -201 + 200. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*j**2 - 97*j**2 - 2*j**3 + 738*j**2 + 2297*j**2 to b*j**3 + z + y*j**2 + a*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8822.\nAnswer: 2, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75138.\nAnswer: 2, 3, 7, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5093 and 39762903.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 c when four letters picked without replacement from {s: 2, r: 8, c: 2, d: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -5, -7, 1, 25, 71, 145, 253?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/17)*k*(k\/(k*k\/(k\/(k\/(k**(-4\/3)*k*k)))))\/k)**(-3\/14) assuming k is positive.\nAnswer: k**(-31\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/(-42) - (-70)\/12. Suppose -46 = -2*w - 2*p, 26 = -4*w + z*p + 82. Solve 0 = 5*c + 2*i - 27, 5*c - i = c + w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2245 - 2245.008042. What is u rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203697.\nAnswer: 3, 13, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r. Let l(s) be the third derivative of -s**5\/30 - 18*s**2. What is d(l(y))?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/5637 + 22798\/704625. Let n = 19262\/375 - b. Let a = 1223\/24 - n. Sort a, -1, 5.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17447 or 0.692?\nAnswer: 0.692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (12 - ((-19 - -42) + 10)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 62 * -12\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 87, -8, -3, 6 in descending order.\nAnswer: 87, 6, 4, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 15. Suppose 126*n + 152 = 134*n. Suppose 0 = 3*q + 4*y + 20, n*y = -5*q + 23*y - 12. Sort -1, 1, h, q in ascending order.\nAnswer: q, -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 11*u**2 - 33*u - 384. Let q be k(-10). Solve -427 = -q*i - 151 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5905132 and -15.\nAnswer: -5905147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*(sqrt(13) + (sqrt(13) - sqrt(52)\/sqrt(4)))*4 - (-2*sqrt(13) + 0 + -4))*-3*6)**2.\nAnswer: 15552*sqrt(13) + 156811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 3*m. Let c = 39 + -36. What is b(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14. Sort 4, z, -0.1 in descending order.\nAnswer: 4, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(600\/(-70)))\/(6\/60).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or 0.047?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f**2 + 13*f**2 - 101 + 99.\nAnswer: 58*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5)\/(j*j**(-1\/4)))\/((j*j*j\/(j**(-4)\/j))\/(j*j**(-1\/6)*j)) assuming j is positive.\nAnswer: j**(-463\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 6.9, 2, -7\/4, 2\/15, 21?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6053 (b) 5 (c) -21 (d) -4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.428757 millilitres?\nAnswer: 0.006428757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 460. Let c(y) = -8*y - 1378. Determine -2*c(l) + 7*d(l).\nAnswer: 2*l - 464","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + 343. Let b = w - 257. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q + 117 - 32 - 36 - 44 - 25*q - 16*q.\nAnswer: q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 5*a)*(0 + 1 - 3) + 4*a + 9*a - 2*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*p - 415, m - 5*p + 39 = 122. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 + 8*u + 16. Let a(r) = -3*r**2 + 18*r + 31. Let y(c) = 3*a(c) - 7*b(c). Let x be y(4). Calculate the greatest common factor of 212 and x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1117*b - 2235*b + 1118*b - 1637*b**5 - 453*b**2 + 659*b**5 wrt b.\nAnswer: -58680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -693 and 37.9.\nAnswer: -26264.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5693481863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (164\/(-6))\/((-22)\/(-33)). Let u = z + 43. Let j(t) = 2*t - 1. Let x be j(u). Let p(s) = s**3 - 2*s**2 - s + 2. Determine p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*(q*q**7)\/q)\/(q\/(q*q**(2\/3)))**(-1) assuming q is positive.\nAnswer: q**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-11 + 5) - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 51. Let l = z - 0. Suppose -x = 3*x - l. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -197*q**2\/2 - 5*q - 99. Is m(-1) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u + 0*u + 5*u**4 + 5*u**4 - 14*u wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47777 + -31953. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -27*m**2 + 254*m. Determine q(9).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4932 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -239. Calculate the common denominator of -23\/180 and 5\/(-4)*v\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 89. What is r(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -140729 at most as big as -140726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let f be h(-1). Suppose 1699*m = 1706*m - 21. Sort -3, f, -6, m in decreasing order.\nAnswer: m, f, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123097713 a multiple of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 1 + (3 - 4 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212557 is divided by 408?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1563946 rounded to 3 dps?\nAnswer: -1.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93415503?\nAnswer: 3, 2777, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3511 + 3?\nAnswer: -3505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 74*k + 362. Let t(g) = -111*g - 544. Let v(x) = 5*t(x) + 7*u(x). What is the derivative of v(z) wrt z?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -157*i + 162*i. Suppose -2*y + 22*y - i = 0. Factor -u**y - 1\/2*u**3 - 1\/2*u + 0.\nAnswer: -u*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/3 - w**3\/6 - 3*w**2\/2 - 4*w. Let r(m) = m**2. Let s(b) = -b - 2. Let l(p) = -3*r(p) - s(p). Give 3*l(o) + 2*v(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 1, j: 4}. What is prob of sequence cjj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31899 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 37. Let u be 6\/z*(-4 - -3). Is u less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -588 + 587.72. Let b = -32.9 + 30. Let k = 3 + b. Is k > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3129758580066 - 4?\nAnswer: 3129758580062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -232, 19 in descending order.\nAnswer: 19, 0, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 15705646 and -13.\nAnswer: 15705633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-8013))\/(1\/3). Let k = -8277280746153\/10684 - -1549472275\/2. Let c = t + k. Calculate the common denominator of 81\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.550029 to 1 dp.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 9:39 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s*s\/((s*s*s\/(s\/(s*s*s*s\/s**(-4)*s*s*s)))\/s)*s))**46*s**(4\/13)\/s**(1\/4))**(-1\/4) assuming s is positive.\nAnswer: s**(-19139\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 46 (c) -4 (d) 0.4 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1876 + -1512. What is the remainder when n is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j + 5. Let u(w) = -3*w - 2. Let p(d) = -4*g(d) - 10*u(d). Let k(h) = 2*h. Determine k(p(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 9*x + 10*x + 0*x**2 - x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5173 + 2294. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-8 - -6) - (-6 - 15 - (-13 - 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g)**(-39)*(g**(-2\/13)*g*g)\/g**(-4\/9) assuming g is positive.\nAnswer: g**(9394\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-155))\/(1*-1). Let g = m - -59\/93. Let b be (-2)\/(-10) + (-4)\/(-5). Is g less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ninitunluui. Give prob of picking 1 n, 1 l, and 2 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4521124?\nAnswer: 2, 1130281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (13\/65)\/(6\/(-15))*(-2)\/5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*d - 49 = 0, 0 = -7*b + 3*b - 3*d + 40. Let a be (-3)\/(-9)*(b - 7). Solve -a*s + 13 = 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-4)\/(-12) - -2)*9. Calculate the greatest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1\/331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698411 times -2?\nAnswer: -7396822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 3301?\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 121. Is i greater than or equal to -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -2\/15, -3\/2, -0.7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(1\/(-141)*(-24)\/(-48))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 4*u**3 + (2*u - u + 0*u)*(u**2 - 2*u**2 + 3*u**2) + 0*u**3 + u**3 - 2*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + (5 - -1) + 37 + -41)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12656 and 4200.\nAnswer: 949200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2024 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*g = -269*g - 380 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -209 or 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*u - u**4 - 22*u - 43*u + u**2 + u**2 + 13 + 2*u**4 in the form g*u**2 + w*u + z + n*u**4 + j*u**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188314.4 - 0.055.\nAnswer: 188314.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1727, 3518, 5327, 7154, 8999?\nAnswer: 10862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -190*m**3 + 8*m**2 - 8*m + 20. Let a(p) = -127*p**3 + 5*p**2 - 6*p + 14. Determine 7*a(n) - 5*y(n).\nAnswer: 61*n**3 - 5*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**5\/30 - z**2. Let h(l) be the first derivative of 0 + 6 + 4 + 0*l**3 + l**3. What is o(h(t))?\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 18 - 62. Let u be 4\/k - (-72)\/33. Suppose 5*f = h - u*h + 353, h = -4*f + 283. Calculate the highest common factor of f and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 3)*(-2*l - 6*l + l + (-3 + 3 - 2)*(-2 - 2*l + 2) + (0*l + 0*l - 2*l)*(3 - 2 + 0)) in the form u*l + o and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -212778?\nAnswer: -212801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 1 (c) -32 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.112 - 0.027. Let i = 0.0850406 - f. What is i rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/8 + 124*d**2. Let h(u) be the second derivative of u**3\/6 - 2*u. Determine t(h(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228290985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1660, -1, 3 in descending order.\nAnswer: 1660, 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 - 2*g**2)*(3*g**2 + 2*g**2 - 3*g**2) - 1 + 1 - g**4 - 3*g**4 - 9*g**4 - 6*g**4.\nAnswer: -23*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (7 + 1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337611 times -195?\nAnswer: -65834145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00260651 to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2020 + 1851. Is o equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 365181453*m**3 - 418203585*m**2?\nAnswer: 2191088718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 9*j - 14. Let t be b(11). Suppose t*v - 5*v**2 + 87 + v**3 - 46 - 45 = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 400\/(-14) - (-2)\/7. Let p = s - 28. Let f be 11\/(-33) + (-1)\/(-9). Sort f, -4\/7, p in ascending order.\nAnswer: -4\/7, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43794.27g in kilograms?\nAnswer: 43.79427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:21 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -4. Let u = -10 - w. Let v(h) = -3*h + 1. What is v(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 3}. What is prob of sequence cq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -7) + 3586\/(-952). Let a = -2\/119 - m. Suppose 0 = -0*h + h. Is h less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 78.\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/4 + 226283*h**2\/4 - 226285*h\/2 = 0. What is h?\nAnswer: -226285, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2\/13 (c) 1\/73 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {f: 18, p: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.32656 meters to centimeters.\nAnswer: 9232.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t - 3. Let j be b(-4). Suppose 28 + 96 = 2*h + 5*v, -h = -5*v - j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/2 (b) -0.5 (c) -10\/869 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 69046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.3 + -6.3. Let k = 0.4 + -0.3. Let p = k + -1.1. Which is the closest to -1? (a) -5 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Let z = i - 0.7. Let g = -1.3 + z. Which is the third biggest value? (a) -3 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -0.09, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-84))\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 8, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c614 - -14ae?\nAnswer: dac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/16)\/(8*30\/(-3040))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 3*j**2 - 4*j + 1. Let g = -12 - -8. Is o(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - sqrt(3)) + -2)**2 + (sqrt(3) + 0 + sqrt(3) + -1)**2.\nAnswer: -20*sqrt(3) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 76760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-60)*(0 - (-3 - 1)). What is the remainder when (-16)\/(-6)*(-3)\/2 - -50 is divided by w\/(-3)*-9 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -3, 5, 17, 33?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -213319 + 212920 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 12. Let t(j) = -j - 26. Let m(r) = -7*b(r) + 3*t(r). Let d(s) = 6*s + 8. Let i(x) = -3*d(x) + 4*m(x). Let g(v) = -15*v + 11. Give g(i(f)).\nAnswer: 30*f + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (-30)\/(-34). Suppose -3*y = 4*i + 9, -y + 4*i - 4 + 17 = 0. Let z(p) = -p**2 + p + 3. Let n be z(0). Sort l, n, y in increasing order.\nAnswer: l, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -5) + -1 + 2. Suppose 6*m = s*m + 6. Solve 2*h = -h + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1731*c - 1799*c + 32504 = 0. What is the lowest common multiple of c and 18?\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -43*d. Let u be i(-1). Let j = u + -50. Let f(v) = v**3 + 6*v**2 - 6*v - 4. Give f(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*n**4 + 145*n**3 - 108*n**3 + 591*n**2 + 40*n**2 - 39*n**3 wrt n.\nAnswer: -1440*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3750458 is divided by 1250145?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8382433 and -0.15?\nAnswer: 8382433.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -35, -100, -221, -416?\n\"Answer: -3*y**3 - y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 989*z**2. Let p(u) = u + 17. Calculate p(l(c)).\nAnswer: 989*c**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-308)\/1045 + 4*(-1)\/(-10).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 + 9*p - 10. Let f be (21\/(-9))\/(2\/(-6)). Let l be d(f). Which is the third biggest value? (a) l (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 8*n**4 + 580*n**3 + 5560*n**2 - 3220*n - 2928 = 0.\nAnswer: -61, -12, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/12*2\/(-3). Suppose 185 = -4*k + 61. Let q = k + 91\/3. Which is the nearest to q? (a) 5 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -621435 - -621433. Let q = -47 + 142\/3. What is the closest to q in 0, p, -1\/4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*l = 12, 8*l = n + 3*l + 1. Determine i so that 0*i**2 + 2\/5*i**3 - 1\/5 - 2\/5*i + 1\/5*i**n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1384 and -153325350.\nAnswer: -153325350.1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -815*n - 9722. Give p(-12).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/12 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3. Let x(a) = 3*a + 7. Let i(f) = -4*r(f) - x(f). Let o be i(2). Is -6\/155 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvb when three letters picked without replacement from vbbvababvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (49\/(-294) + (-2)\/(-6))*-1. Which is the nearest to 1\/3? (a) 0.1 (b) g (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 8420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42 - -0.73. Let l = 148.68363119 + -147.53363. Let z = l - h. Round z to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/16)\/(l*(l\/(l*l**(1\/20)\/l))\/l) assuming l is positive.\nAnswer: l**(-61\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24862349 - -0.51.\nAnswer: -24862348.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 2\/7, 0.2, -25 in increasing order.\nAnswer: -25, -1, -0.2, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -40569*t**3 - 2*t**2 - 2*t - 2. Is g(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 1\/11, -0.2, -130, 7, 3\/4, 38?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3, 0 = 3*o + 4*z - 15 - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 168220?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 37 + 19 = 0, -5*g + 4*r + 256 = 0. Let t be (-4 + 1)*2\/2. Sort -5, g, t.\nAnswer: -5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {n: 3, b: 1, i: 4, a: 10}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -8 + -13 + 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25434 is divided by 1367?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2050 and 615?\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 14*t + 41582761701398*t**3 - 41582761701397*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0*m + 0*m + 3*m - 2*m. Let k be n(7). Suppose -5*g + k*g = 24. Solve -a = -5*a - g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36654 equal to 36536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -i + 18, -4 = -i + 3*i - 2*m. Suppose 10 + 14 = 3*b. Suppose -b = -i*p + p. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkqk. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4234 + ((-28)\/(-4) - (9 - 10))?\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - w**5 + 4*w**5 - 5 + 5 + 4*w**5 + (w + 0 + 0)*(-4 + 2*w**4 + 4) + w**2 - w**2 + w**5.\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 3767880?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5 - 1. Let a(f) be the second derivative of 1\/4*f**4 + f**2 - 1\/3*f**3 - 6*f - 1\/20*f**5 + 0. Calculate a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17*g - 36. Let c(f) = f - 1. Let w(l) = 6*c(l) + k(l). Let d be w(-4). Suppose -v = -3*v + d. Put -5, -4, v in increasing order.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-9))*k**(2\/5)\/k)\/(k\/(((k\/k**7)\/k)\/k)*(k*k**(1\/3)*k)\/k) assuming k is positive.\nAnswer: k**(-299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 30 = 0. Suppose -w = -4*v - v. Solve 3*a = 3*j - v, -5*a + 2*j = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(153)*-3 - (1 + (2*sqrt(2448))**2).\nAnswer: -9793 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 798.5364 + -798. Let w = 0.56 - s. Let x = 2.4336 - w. What is x rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2\/2 - 1646. Let c(n) = -212*n - 139*n + 3 - 3. Give g(c(q)).\nAnswer: -351*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-164)\/(-5740))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 2 + (-10 - -12) + -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03983065 rounded to 4 dps?\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - sqrt(784)*-2)\/sqrt(7))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {r: 1, p: 4, s: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-12))\/(39\/104)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 5*r + (3*r - 3*r - 2*r + r - 3*r + 0*r + (2 + 1 - 4)*(0*r + r - 2*r) - 2*r + r + 0*r - 7*r - 4 + 4)*(-3 + 10 + 4).\nAnswer: -126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q\/(q*q**(4\/7))*q))**(-11)*(q**(2\/3)\/q)**(5\/4))**(-18) assuming q is positive.\nAnswer: q**(-6627\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b - 4*q - 0, -4*b - 5*q + 8 = 0. Solve b*k - 3 + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-37 + (23 - -1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/2541 (c) -0.4 (d) -216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32612, -130378, -293336, -521486, -814828?\n\"Answer: -32596*c**2 + 22*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 10*t**2 + t**2 - 2*t**2 + 11*t - 6. Let p be w(10). Suppose d + 5*j - 3 = -5, 2*j = p*d - 58. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 476?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, -383, -2134, -5651, -11522, -20335, -32678, -49139?\nAnswer: -70306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 5. Let m be k(-7). Let g(c) be the third derivative of 1\/60*c**5 + 1\/18*c**3 + 0 + 0*c - c**m + 1\/18*c**4. Factor g(u).\nAnswer: (u + 1)*(3*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + (3 - (-2 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -516 + 241. Let j = n - -274.999535. What is j rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51237 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 253907, 254359, 254811, 255263?\n\"Answer: 452*m + 253455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 2*r**3 + 5 - 6 + r - 2*r in the form c + d*r**3 + t*r + g*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87547.6 microseconds to milliseconds.\nAnswer: 87.5476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.4 (b) 5\/6 (c) -3 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633\/33 - (-6)\/(-33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*o - 14, -43*l + 48*l + 3*o = 28 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k - 1. Let j(q) = 2*q**2 - 5*q - 90 + 173 - 88. What is j(y) - 4*z(y)?\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*p + 262*p = 2*m + 29, 4*p - 3*m = 35 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337547, -337548, -337549?\nAnswer: -337550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 12*p**2 - 20*p + 3. Let x = -116 + 106. Let a be d(x). What is the second derivative of 10*w**3 - 4*w - 17*w**a + 31*w wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, -5.\nAnswer: -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/2 of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.3348 micrograms to milligrams.\nAnswer: 0.6963348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3360807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52509 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/70)\/(42\/(-20))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*u**5\/5 + 3088*u**4\/5 + 17048*u**3\/5 + 28844*u**2\/5 + 18966*u\/5 + 4068\/5 = 0. What is u?\nAnswer: -3, -1, -3\/7, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4463626 is divided by 268.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190654 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 861 = -1150. Solve 2*i = 5*q - 21, u*i + 12 = -q + 12*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406922, -813844, -1220766, -1627688, -2034610?\nAnswer: -2441532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 23*s - 44 = 0. Let b = 10 - s. Let x(i) = i**2 + i + 1. Let q(a) = 6*a**2 + 2*a + 5. Determine b*q(w) + 5*x(w).\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 + -301003?\nAnswer: -300244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 4*d - 15*d = 52 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 3*z**2 + 4*z + 1. Let w(b) = 6*b**3 - 16*b**2 - 21*b - 5. Let f(v) = 11*i(v) + 2*w(v). Let r = -10 + 6. Let l = 2 + r. Give f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhdynynhynnkyyd. What is prob of sequence dynn?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaaaaaaaaallaa. What is prob of sequence lal?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5967 - 7?\nAnswer: -5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(150) + 3 + (sqrt(5)*3)**2.\nAnswer: sqrt(5)\/5 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 29*n. Let k = -425 + 427. Let h(m) = -m**2 - m**2 + 4*m**2 + m**k. What is f(h(v))?\nAnswer: 87*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 494156443*p**3 + 2*p**2 + 2*p**2 - 494156436*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73, -99, -127, -157, -189?\n\"Answer: -l**2 - 23*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1\/2, -1\/9, 15, -7\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138*((-37 - 869\/(-22)) + 39\/(-18)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, w: 1, j: 1}. Give prob of picking 2 z.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 7 + 3)*(1 + 1 + 0) + 0 - 5 + 3)*(41 - 25 - 24)*(-4*f**5 + 3*f**5 + 2*f**5).\nAnswer: -80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*q**3 - 42*q**3 - 79*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9877 and 0.3?\nAnswer: 2963.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2614515 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1368827689 - 8.8.\nAnswer: -1368827697.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116\/3 + 79\/3. What is the common denominator of 34\/11 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1092 (b) -2\/29 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12 + 12 + (-35)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1840950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0*q**3 - q**3 - 10*q**2 - 6 + 16*q**2. Let w be k(6). List the prime factors of (69\/46)\/(w\/(-344)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -295256.2892 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*g - 115*g = -357*g + 102*g + 1206 for g.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.6 - -10. Put 5, 2\/15, x in increasing order.\nAnswer: 2\/15, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/5))**(37\/4) assuming i is positive.\nAnswer: i**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3715226037748 and 0.5.\nAnswer: -3715226037747.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -1370\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40307 + 40336.9088. Let s = k - 27.6. Let w = s + -2.3. Round w to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 3 + 7 + 90*v - 8 to the form a + r*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/30 - g**2. Let k(b) = -60039*b + 119998*b - 59890*b. Determine z(k(n)).\nAnswer: 9522*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2386 + -1025. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 7*v**2 + v - 4. Let a be z(7). Suppose a*b + 114 = -5*q, -4 + 78 = -3*q + b. Is -2 + 3 + -2 - q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27424 (base 10) to base 8\nAnswer: -65440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76045687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6002 > -6001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-7)*k)\/k))\/k*k\/((k**(-2)*k)\/k)*k*k**(-2\/15)\/((k**(3\/4)\/k)\/k) assuming k is positive.\nAnswer: k**(727\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 985, 1996, 3307, 4858?\nAnswer: 6589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*g**5 + 195513*g**4 + 418548*g**3 - 2904060*g**2 + 335568*g + 4467840 = 0. Calculate g.\nAnswer: -9308, -5, -8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (34*2\/(-6))\/((-4)\/(-144)*12)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/33)\/((-20)\/138). Let m = 5 - q. Let z = 2.29 + -7.29. What is the second biggest value in m, -4, -0.07, z?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -3213?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/29 and (336\/40 - -3)\/(((-14)\/(-5))\/(-1))?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9305.\nAnswer: 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958.7 minutes to milliseconds.\nAnswer: 57522000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 33*r + 2384. Calculate i(-73).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49009126 divided by -24504563.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3649275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 73036*z**3 + 22874*z**3 - 2*z**2.\nAnswer: -50162*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/2, 0.3, 5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let x(b) be the second derivative of -11*b**6\/120 + b**4\/12 + 21*b**2\/2 - 7*b - 2. Let u(m) be the third derivative of x(m). Give u(d(o)).\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -7, -2.5 in decreasing order.\nAnswer: 124, -2.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -5. Let g(k) = -k - 1. Let p(w) = -304 + 592 - 8*w - 295. Give q*g(u) - p(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22 + -1 + 2 - -2. Let k be 85\/r - (-4)\/(-10). Sort k, -1\/7, 2 in ascending order.\nAnswer: -1\/7, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213686, 854840, 1923430, 3419456?\nAnswer: 5342918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9*(9 + 0). Suppose 21 - h = 9*n. What is the smallest common multiple of n and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3403 - -3405. Let x = 0.054 - -0.046. Put -0.1, x, r in ascending order.\nAnswer: -0.1, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 15*n**2 - 16*n - 9. Let c be j(16). Let z be 1191\/c*(-78)\/(-4384). Let b = 40\/137 + z. What is the common denominator of 81\/14 and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.5564ml in litres?\nAnswer: 0.3715564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b*o*q**3*w + 11*b*o*q**3 - 2*b*o*q**2*w - 14*b*o*w + 2*b*q**3*w + 3*b*q**2*w - 781*o*q*w wrt q?\nAnswer: -60*b*o*w + 66*b*o + 12*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 36*n**2 - 114*n + 61. Give w(-39).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 2 q when four letters picked without replacement from qpuquqpqtzqzupqqzq.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 31.39.\nAnswer: 156.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 2*j**2 + 4*j**2. Suppose -4*b + 9*b - 20 = 0. Let v(y) = 2*y - 5*y + b*y. Calculate v(d(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 84*x - 4316. Calculate z(45).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-69)\/(-12) + (-5)\/(-4). Suppose 5*i - o*i + 16 = 2*a, a = 5*i - 34. Solve i*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o - 49. Let y be h(9). Let w be 4 - (y - 5) - -2. Solve 2 + w = -5*n + 4*t, -4*n + t = 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) -4 (c) -78\/11 (d) 1 (e) -14 (f) 4\/189\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g + 109*g + 111 = -69 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 895, 1361, 1883, 2479, 3167?\nAnswer: 3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 + 2*g - 8. Let b be l(8). Suppose -4*p = -6 - 46. Let o = p - b. Solve 5*w - 24 = -o*h + 1, -2*w + 5*h + 3 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429*1\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = b, 0 = -7*b + 4*b - w - 9. Let d(r) = r**3 + 5*r**2 + 5*r. Let u be d(b). Calculate the remainder when 5 is divided by (-1)\/4 + (-17)\/u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2787233 and 11803058.\nAnswer: 14590291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 817934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/11)*j*j)\/(j*j**(-2\/19)))**(-2\/157) assuming j is positive.\nAnswer: j**(-538\/32813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27375 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4. Let a(l) = -l**2 + 9*l + 17. Let x(z) = a(z) + 6*j(z). Let g(c) = -c**2 + 13*c - 10. Suppose 9 = -h + 2. Calculate h*x(t) + 5*g(t).\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2300.92 + 2363. Let m = c + -65. Let g = 0.08 - m. Put g, 0.2, -3 in descending order.\nAnswer: g, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.107 - 0.107. Which is the second smallest value? (a) -9\/5 (b) -4 (c) 0.3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 514 and 27172867?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1586 + 1578.53. Let a = v + 6.265. What is a rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77910 = 242*m - 257*m. Is 97 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 2413177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = -8. Suppose -q = 2*s - 6*s. Let 1 + 0*w + w**s - 2*w + w**2 - w**2 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 4 + (-11 - -3 - 19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2072494 by -2.\nAnswer: 1036247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 4, -5.63 in increasing order.\nAnswer: -93, -5.63, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15723 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 13*k - 489 = 0. Suppose 4*b + u = -2*u + 1010, -2 = u. Let h = k + b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/5))**(-9\/10)*(z\/(z**(-1\/11)\/z*z))\/(z\/(z*z**(2\/3)\/z*z*z)) assuming z is positive.\nAnswer: z**(6629\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 44 - 215 = -5*o, -3*o + 3*v + 105 = 0. Calculate the smallest common multiple of o and 11.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2772 + 2773. Let q be (2\/(-4))\/(3\/(-138)). Let f = -20 + q. Solve 3*o - f*j - 9 = -6*j, j - w = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016588 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0*b**4 + 0*b + 22*b**2 - 2 - 1\/60*b**5 + 0*b**3. Let k(o) = 7*o**2. What is k(y(i))?\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**25)**45*f**(-4\/3)\/((f*f*f**(2\/3)*f)\/(f\/(f*(f\/(f*f**(-3\/2)*f*f))\/f*f))) assuming f is positive.\nAnswer: f**(2241\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 190 = -8. Let b be (20\/t)\/((-165)\/(-42) - 4). Solve -4*g + 4*h + 20 = -5*g, -5*g = 4*h + b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12054 + 327?\nAnswer: -11525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or -15?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 2*f - 15. Calculate n(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3\/17 in decreasing order.\nAnswer: 4, 3\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2544*l**3 + 43*l**2 - 209*l + 5. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 20 - -8 - (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:54 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/(-6)*(-9)\/6. Let d = -9 - p. Suppose -4 - 16 = -d*s. Solve t + 2*t - s*v - 32 = 0, 2*t - 3*v - 23 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(2 + 4*5*(3 + sqrt(108))*-4) + -1)**2.\nAnswer: 51393600*sqrt(3) + 168257761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63011 divided by -2.\nAnswer: -63011\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/3*18\/7. Suppose 0 = 4*v - s + 4. Suppose -j + 3*j = 10. Solve j*d + 2*i + 0 - v = 0, -3*i = -15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(4\/3)*q))\/q*(q*((q*q**(-1\/5))\/q)\/q)\/q*q\/((q**2*q)\/q)*q**(-10\/9)\/q assuming q is positive.\nAnswer: q**(-254\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 4893665.\nAnswer: -4893665.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 53. Let q(a) = a**3 + 2*a**2 - 1. Let k be q(-1). Does 22 divide z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -31*r - 3\/28*r**4 + 9\/14*r**2 + 0 - 3\/140*r**5 + 1\/14*r**3. Factor c(g).\nAnswer: -3*(g - 1)*(g + 1)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*d - 33487 + 33487.\nAnswer: -291*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 4700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -45154.\nAnswer: -180616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 92 - 15 - 33 - 23 + 48*v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7949 = -6*d + 8513. Solve 102*q - 40 = d*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 28*y**2. Let f(c) = -152*c**2 - 95*c - 5. Let q(u) = -456*u**2 - 304*u - 16. Let s(w) = -16*f(w) + 5*q(w). Give x(s(i)).\nAnswer: 646912*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(1 + (-2)\/4). Suppose 2*t - 1 = -4*y + 13, l*y - 4*t = 50. Let g(b) = -2*b - 3. What is the smallest common multiple of y and g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08577 + 0.\nAnswer: -0.08577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153710 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 109, 0, 3, 356, 1 in descending order.\nAnswer: 356, 109, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**3 - 10*i + 10. Let b(y) = 11 - 8 - 13*y + 6*y + 6*y - 2. Determine 30*b(a) - 3*l(a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 357 = 2*b. What is the units digit of b\/(-18)*-2*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4738 - -7142. List the prime factors of p.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**5\/b)*b**1)\/(((b**(2\/11)\/b)\/b*b*b)\/((b\/(((b\/(b*b**(-14)\/b))\/b)\/b))\/b)) assuming b is positive.\nAnswer: b**(-167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2372 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(0 + 2 + sqrt(17) + 2 + (sqrt(17) - (sqrt(2448) + sqrt(2448) + -1)**2)).\nAnswer: -48945 + 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - sqrt(110)*-2)*4)\/(sqrt(80)\/(sqrt(8) - sqrt(288))))**2 + (((1*sqrt(110) - sqrt(110))*1)\/(sqrt(90)\/sqrt(144)))**2.\nAnswer: 33275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10 + 51*p - 5 - 2. List the prime factors of g(4).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from tttfttttztzztttttf.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 - (13 + 2 - 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 + 534*n**2 - 5*n. Let u(w) = -4*w**3 - 535*w**2 + 6*w. Give 6*p(s) + 5*u(s).\nAnswer: -2*s**3 + 529*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 27216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273499 is divided by 115?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6497019*k**3 + 4*k**2 - 46*k - 3912?\nAnswer: 38982114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 4 - 7 + d**3 + d**3 as a + x*d**3 + w*d + g*d**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2538 - -3.7462. What is the fourth smallest value in -7\/10, 4\/3, v, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 20. Suppose -t = 13 - g. Let w = t + 11. Solve w*s + 12 = z, -13 = -3*s + 4*z - 41 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b - 6. Let l be q(-3). Suppose l = -4*n + 16, 3*r + 0*n + n - 28 = 0. Let g(p) = -p**3 + 9*p**2 - 9*p + 8. What is g(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14.5. Let l = -4.6 - -5.6. Let q = l + -0.3. Sort 2, q, d in increasing order.\nAnswer: d, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 5 + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 101*t - 8388. Calculate q(83).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 28197783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(5 - (15 + -9)). Solve -17 = a + 4*g, -n*a + 2*g = 3*g + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(4 + sqrt(2299) + -5).\nAnswer: -12 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b - 33. Calculate t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 4*u = -68, 74*r - 78 = -3*u + 511 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31252 is divided by 9738.\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m + 72*m + 3520 = 55*m for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 - 101 + 265)*(72*o - 432 + 432).\nAnswer: 4248*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 469 + 439 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 28*x - 51. Let i(u) = 12*u**2 - 308*u - 562. Let m(f) = 6*i(f) - 68*p(f). Factor m(q).\nAnswer: 4*(q + 2)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**6\/21 - 3*y**4\/7 + 8*y**3\/21 + 1. Factor v(o).\nAnswer: 4*o**2*(o - 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 7*y**3 - 2*y**3)*(3*y - y - y) - 2*y**4 - 3*y**4 + 2*y**4 + (5*y - 2*y - 4*y)*(38 + 19*y**3 - 38).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -56, -1, 2031 in descending order.\nAnswer: 2031, 5, -1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Suppose -4*a = 3*k + 28, a - 8 = 3*a. Let x be (-3 - -1) + 2 + -1. Sort x, h, k in decreasing order.\nAnswer: h, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - 26. Find the common denominator of -49\/72 and z\/24 + -2 + 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.147 and 14971?\nAnswer: 14971.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g + 2. Let l be 2 - (-4 - -4) - -2. Let j = 4 - l. Give n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*r = -119 + 29, 3*n = -2*r - 85. Let f = 31 + n. What is the remainder when 33 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -31, -40, -45?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 - 3*a + 1 - a**3 + a + 2*a**2 - 2*a**4 - a as g*a**3 + b*a**2 + k + i*a + s*a**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11076 and 99684.\nAnswer: 99684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 1 + (-3 - 4) + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 37 - (-22 - -23).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 345 - 281. What is the derivative of -10*j**2 - d + 5*j**4 + 11*j**2 - 29 + 0*j**4 wrt j?\nAnswer: 20*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1248 + 209. Let q = -648 - t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 1. Find the third derivative of 0*h**5 + 6*h**2 - 7*h**2 - y*h**5 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Suppose 0 = -2*g - 0*g - 2*v + 2, 0 = 2*g - 2*v + 10. Let t be 0\/(3\/(h\/g)). What is the second smallest value in t, 5, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-4\/5))*r**13*r**(-17)\/r*(r\/r**(-7))\/r assuming r is positive.\nAnswer: r**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10. Let w(v) = -v + 11. Let t(x) = 3*w(x) - 4*z(x). Let u be t(-4). Suppose -3*k = h + k - 11, 11 = u*h - 2*k. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2307 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1605887 (base 12) to base 13.\nAnswer: c1224a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from tqqhhwqvtyhwqqqqqt.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 60258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 92 + -39 + 58\/2?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 2\/3, 2, -4\/25.\nAnswer: -1, -0.2, -4\/25, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 1. Let d(b) = -b**3 - 2*b**2 + 1. Let i = 5 + -1. What is i*g(j) + 2*d(j)?\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50215, -50459, -50865, -51433, -52163?\n\"Answer: -81*v**2 - v - 50133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u - 14. Determine r(6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*w + 28, -3292 = -4*g - 5*w. Calculate the greatest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -42990, 0.3, 27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2684 and 39\/44.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-1 - (-1 + -12)). Is 9 a factor of 4\/(-3)*(0 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*g**3*v*w + 7706*g**3*w**2 - 3*g**2*v*w**2 - 2*g**2*v + 3*g**2*w**2 - 4*g*v*w + 9*g*v - 10*v*w - 121*v wrt g?\nAnswer: -120*v*w + 46236*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50655 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 74*a + 3177. Give v(-42).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1270*h**4 + 5816711*h**2 - 5816711*h**2 + (2*h**3 + h**2 - h**2)*(2*h + 2*h - 3*h).\nAnswer: -1268*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 17106.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/((-3)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 + 51 + -30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289670132 to the power of 1\/2, to the nearest integer?\nAnswer: 17020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = -l - 2, y - 16 = 4*l. Solve w - y = 5*p, 4*w + 6*p = 10*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 2117\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3 + 0 - 84*w - 1\/10*w**5 - 1\/3*w**4 + 0*w**2. Let r(t) = 0. What is t?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 18. Suppose -4*q + 2*j = 28, 2*j = -6*q + 3*q - 7. Let i be f(q). Put 1, -3, i in ascending order.\nAnswer: -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -3\/5 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {w: 7, h: 5}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*15.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10661896 is divided by 2643?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000165573 rounded to 7 decimal places?\nAnswer: -0.0001656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -597.51 + 553.3608. Let d = l + -0.0508. Let t = d + 44. Are t and -0.41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135 - 19*r + 269 - 134 to l + i*r and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(567) + sqrt(567) - sqrt(7)) + 4 - sqrt(77)\/(sqrt(11) - (sqrt(11) + sqrt(33)\/sqrt(3))*-2))**2.\nAnswer: 504*sqrt(7)\/5 + 49617\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -9*k**5\/100 + 13*k**4\/20 - 13*k**3\/10 + 9*k**2\/10 - k. Factor b(r).\nAnswer: -3*(r - 3)*(r - 1)*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*k + a**3 - 18281*a**2*k + 2*a**2 - 520*a + 9*k wrt a?\nAnswer: 6*a*k + 6*a - 36562*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 74960399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**3 - 57*c**3 - 16*c**3.\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17\/12 - -7\/3. Suppose 30 = 5*v - 0*v. Suppose v*x = -18 + 48. Is x equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*q + 20*q + 37*q.\nAnswer: 259*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 31110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3877 + 3877.01641. Round w to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/16)*x*x**2)**(44\/7) assuming x is positive.\nAnswer: x**(517\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 70?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:46 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3\/5, -10\/3123951?\nAnswer: -10\/3123951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23528)\/30275 - 2\/25)\/(1284\/1302 + -1).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/(-2*sqrt(7)).\nAnswer: -sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -c. Let k = c - 1. Suppose -4*p - k + 19 = 0. Solve 0 = -b + 3*m - 16, -p*b + 5*m - 2*m = 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 184 = 4*v, 2*v - 118 + 40 = -3*z. What is the remainder when 222 is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/6 + 5\/(-4 + 5). Find b, given that 0 - 1\/2*b**3 + b**w + 1\/2*b**5 + 0*b - b**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 2*h = -169 - 1118. What is the greatest common factor of 65 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 124659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 52*b + 26 + 31*b + 28*b - 3. Let w be d(7). Round w to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 3. Let o be v(-2). Solve -l - 3 = o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902151.\nAnswer: 3, 33413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*z - 1. Let w = 30 - 21. Is 19\/(z\/w*-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-44*a**2 - 68*a**2 + 42*a**2)*(26*a + 6*a + 0*a)*(6*a - 3*a - 2*a).\nAnswer: 4480*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28, -64, -104, -148, -196?\n\"Answer: -2*c**2 - 30*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7005.3 - 7005. Which is the third biggest value? (a) -0.022 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.92658 rounded to two decimal places?\nAnswer: -208.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(3\/7)))\/s)\/(s**(-4)*s)*s**(-1\/3)*s*s*s*s\/(s*s*s**(2\/7))*s*s)**19 assuming s is positive.\nAnswer: s**(1976\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*q + 2*p - 8, 0 = 2*q + 3*p - 7. Let k = 18 + -4. What is the lowest common multiple of k and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*k - 11, -161315*k = -161320*k - 5*i - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**9\/20160 + o**8\/2240 - o**5\/15 - 6*o**2. Let f(s) be the third derivative of g(s). Factor f(t).\nAnswer: 3*t**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*g**3*m + 5*b*g**3 - 171*b*g**2 + 1714*b*g*m - 4301*g**3*m - g**3 wrt g.\nAnswer: 6*b*m + 30*b - 25806*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 8)*(0 + 1 + 0 + 2*b)*(-5 - 2*b**2 + 5).\nAnswer: -44*b**3 - 22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -124600 divided by 5\nAnswer: -24920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-5)\/h))\/h*h)\/(h*h\/(h**(-4\/5)*h)*h*h))**(2\/3) assuming h is positive.\nAnswer: h**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 15 = 4*o. Let d be -3*(-3)\/(-18)*-2. Sort d, o, 4 in ascending order.\nAnswer: d, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.3. Let r be -9 + -5*276\/(-150). What is the third smallest value in r, -1\/5, p, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/((-12)\/(-15))*-3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116 at most 2115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.085064285.\nAnswer: 0.17012857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*72\/(-9) - 8. What is the third smallest value in 3, x, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/20 - 5*a**4\/12 + 7*a**2\/2 - 3*a. What is the units digit of c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 16, 21, 28, 37, 48, 61?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*n + 4263*n + 4217*n - 324*n.\nAnswer: 8331*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*2\/4*-2. Let f(p) = -p + c*p - 2 + 7 + 1. Let t be f(3). What is the greatest common divisor of t and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2390 + -7175\/3. Which is the biggest value? (a) -18\/13 (b) r (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -162*o**2 - 153943737 + 153943737. Let h(n) = 35*n + 2. Calculate h(d(x)).\nAnswer: -5670*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -32344, 2.\nAnswer: -32344, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*s - 25 = 0. Suppose 0 = -19*k + 46*k - 108. Put k, s, -1 in descending order.\nAnswer: s, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 521203\/5 + -103597. Let v = s + -643. Solve -18\/5*y + v*y**2 + 3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 5*z)*(-2 - 2 + 2)*(-965*z - 424*z + 569*z).\nAnswer: 3280*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, l: 2, z: 3, b: 1, i: 3}. Give prob of picking 1 i and 1 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -871 + -7\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y + 16. Let c(r) = -37*r - 34. Let f(q) = 2*c(q) + 5*g(q). Let t be 43 - 51 - ((1 - -3) + 0). Give f(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 10}. What is prob of sequence rr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 602.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -5 (b) 10 (c) -0.05 (d) 1\/6 (e) 1031 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + 11*d**2 + 10*d - 24. Let f be i(6). Let w be ((-8)\/(-792)*42)\/((-2)\/(-6)). Factor 4\/11*l**2 - w*l**3 - 18\/11*l**4 + f + 0*l.\nAnswer: -2*l**2*(l + 1)*(9*l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + v - 12, 0*i + 3*v = -i + 3. List the prime factors of i\/(-4) + 124\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r - 51982487 = -73*r. Let a = -10982487 - r. Round a to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30871, 66234, 101597, 136960, 172323, 207686?\nAnswer: 243049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15241991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 10*s + 3*s**2 + 27*s.\nAnswer: -3*s**2 + 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 18) + -2 + -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) -0.07 (c) -88.475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let f(t) = -4*t + 0*t + 5 + 0 - 1. Let a(g) = 5*c(g) - f(g). What is the first derivative of a(n) wrt n?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7\/3*h**2 + 2\/3*h**5 + 0 - 4*h**3 + h**4 = 0. What is h?\nAnswer: -3, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.7826 days in minutes?\nAnswer: 179686.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7*t**2 + 5*t + 2. Calculate the remainder when y(-5) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 33 = 4*n - 25, 3*p + n = 32. Suppose -3*l + b = -7 - 6, 2*l = -4*b - p. Solve 0 = -0*i - l*i + 2*s + 4, 4*i = 2*s + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + 7 + (5 - 27 - -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f\/(f\/f**5)*(f**(1\/2))**32)\/((f\/(f*f**(-2\/5)))**23*(f\/f**(1\/5))\/(f*f**(-1)\/f)) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 38*i + 5. Let b(h) = 104*h + 18. Let v(l) = -4*b(l) + 11*w(l). Suppose y + 3*z - 14 = z, 3*y + 5*z = 40. Give v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 4*f - 1. Let j be w(-2). What is the hundreds digit of -75*(6\/(-9))\/(j\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -395, -595, -797, -1001?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 12.8. Let s = -0.8 - w. What is the third smallest value in -0.3, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -39*s + 241 - 155797*s**2 + 311593*s**2 - 155795*s**2. Calculate h(31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -36928\nAnswer: 1\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*f**4 - 7*f**3 + 3*f**2 + 9997 wrt f?\nAnswer: -164*f**3 - 21*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 2*v - 4. Let d(o) = 3*o**2 - 13*o + 12. Let u(j) = d(j) + 2*p(j). Let k(m) = m**2 - 4*m + 2. Calculate 9*k(n) - 4*u(n).\nAnswer: 5*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n**2 - 62*n + 3986. Calculate y(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.5. What is the closest to 0.4 in -2, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 - (-103 + (15 - -22))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 9:22 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 5*y = 244 + 210, -5*y = h - 4*y - 69 + 96 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqz when three letters picked without replacement from zqqiziiqqdqiddq.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 13*y**2 - 3*y + 31. What is n(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10670157 divided by -9\nAnswer: 1185573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -936\/149?\nAnswer: -936\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(44\/9))\/((-2940)\/1078).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*r = 5*z - 20, -4*r = 2*z - 34. Let u(i) = i**2 + 2*i - 10. What is the tens digit of u(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h**3 - 5*h**2 - 21*h - 17. Calculate the remainder when -1 + 1 - (-144)\/2 is divided by l(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 23*x = -x. What is the closest to x in -6, 0.1, -1, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17*p - 24 = 0. Find the second derivative of 0*i + i + 28*i**2 - 76*i**p + 2 wrt i.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g + 6. Let w(d) = -2 - 2*d + 3 - 3 + 0. Calculate 3*f(x) + 8*w(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 8*b - b - 5*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2862568 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 33 = -15. Let n be 14\/(-2) + q\/2. Let z be n\/((-567)\/770 - 6\/(-10)). Calculate the highest common factor of z and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.97 + -4.07. Which is the closest to o? (a) 8 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, 0.4, -44.02, -3, -2\/7, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 + 3*i - 1. Let g be ((-2)\/(-4))\/((-5)\/(-20)). Suppose -1 = -3*n - g*z, 4*z + 1 = 21. Calculate w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 - 11*i**2 - 6*i + 4. Let j be k(-4). Suppose 2*n + j = -3*c, -2*n + 21 - 1 = -c. Let r be c\/(-30)*(-3)\/4*-5. Solve r*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 227694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199512*z - 22248 = -199100*z for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n - 76*n = 112 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**2 - 23640*n + 94624 = 0.\nAnswer: -5914, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 45 = 19*c - 2*p, 0 = 5*p. Let z = 23 - 13. What is the remainder when c is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -63, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woob when four letters picked without replacement from owwwggwwgqggbgwbggow.\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from vvzzvzvvrlvr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l + 11. Let k = -10 - l. Let m = 25 - 14. Calculate the remainder when m is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaxxiakxvxaxa. Give prob of picking 1 g and 1 v.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191564265 by -38312853.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 32?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a + 27*a - 1 + 5*a**2 - 21*a + 2*a**4 in the form f*a**3 + u*a**4 + k*a**2 + h + d*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - 1) + (6 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 860 + 3*v**2 - 452 - 4*v - 327 as h*v**2 + d + z*v and give d.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 209, 820, 1845, 3290, 5161, 7464, 10205?\n\"Answer: u**3 + 201*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -8. Let d = -8 + 38\/5. Which is the nearest to d? (a) k (b) 0.5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a = -267 - 78, -4*l = -130*a + 131*a - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 99 + 57. Solve 0 = -5*q + 2*q - b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 3*u + 247 + 177 - 90 + 4*u to o*u + f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - ((-1 - -2) + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - 30*o**3 + 30*o**3 + (2 + 2 - 2)*(0*o**5 + 2*o**5 - 4*o**5).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 21*b**2 - 277*b + 9404. What is p(25)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10107 and 87594?\nAnswer: 262782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:17 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311221222 (base 4) to base 7.\nAnswer: 4044644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712 - 712 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3456532 by -46.\nAnswer: 75142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1586.79 and -0.4.\nAnswer: -634.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32489?\nAnswer: 53, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*v - 0*o + 142, 3*o = 4*v - 134. Suppose 4*c - 50 = 2*b, -2*b = -37*c + 34*c + v. Calculate the remainder when 72 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5472\/1216 + (-67)\/(-2). Suppose 0*w = -w + 95. What is the highest common divisor of w and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/224 - 300\/(-21). Solve 0 = -3*u + 17*u + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -2*x**7\/105 + 2*x**5\/15 - 2*x**3\/3 - 151*x**2. Determine h, given that p(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k - 3*k**2 + 13*k)*((180 - 180 + 100*k)*(-4*k + 4*k - 4*k) + (1 - 2 + 3)*(k**2 + 0 + 0)).\nAnswer: 1194*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883264 > 1883285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.295 + -7.295. What is the closest to 6 in s, -4\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69, 189, 357, 573, 837?\n\"Answer: 24*u**2 + 48*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/5 and ((-3)\/15)\/((-36)\/340).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/5 - 456*v**3\/5 - 2415*v**2.\nAnswer: 3*v**2*(v - 175)*(v + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 519020922 by -21.\nAnswer: -24715282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181207 is divided by 714?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 - -90) + 56 + -89.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-996 + 903 + 2077)*(-j + j - 4*j)*(-j + 0*j + 2*j).\nAnswer: -7936*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 18, -4, 2\/19, 4, 16\/1323 in descending order.\nAnswer: 18, 4, 2\/17, 2\/19, 16\/1323, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -44. Suppose -2*v + 3*x + 36 = 0, 2*v - x = 7 + a. What is the greatest common divisor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1187 - 1192. Let s = -4.5 + 0.5. Which is the nearest to 2\/3? (a) g (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 377 and 78358.\nAnswer: 1018654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:27 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(5))\/sqrt(6) - sqrt(900))\/(sqrt(2) + 6*(sqrt(2) - (sqrt(2) + sqrt(2)*1)) + sqrt(32)*1).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 13) in base 2?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 w when three letters picked without replacement from ykwkkvwwwvwwvyw?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 13. Suppose l + 3 = g. Suppose 5*f + 80 = 5*j, -3*f - 60 = -l*j - f. Calculate the lowest common multiple of 2 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*g - 6 = 0, -3*c + 5*c + 16 = 5*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 4, t: 2, e: 6}. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((0 + -3 - -4)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 9*v. Suppose v = 4*x - 5*x + 54. Let y(u) = 55 - 6*u + 2*u - x. Let z(b) = -7*b + 1. Calculate 5*y(n) - 3*z(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5209 (b) -6 (c) -1\/4 (d) 0.5 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -631 + ((-1)\/((-1)\/1))\/1. Let q = -448 - s. Is q a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*b = -27*b - 326 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a2870 (base 12) to base 2.\nAnswer: -11101010000001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 + 44024341?\nAnswer: 44024200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-64\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13420 and 134444?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1215*a - 123. Let x(v) = -152*v + 15. Calculate 4*j(t) + 33*x(t).\nAnswer: -156*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346808651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o**2. Let h(x) = -100*x + 4*x**2 + 49*x + 51*x. Give t(h(z)).\nAnswer: 208*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)*f)\/f**(-3\/5)*(f\/f**(-5))\/f*f*f\/f**6)\/((f*f\/f**(-2))**(7\/9))**(25\/4) assuming f is positive.\nAnswer: f**(-256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 p when four letters picked without replacement from {p: 5, y: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5410 = -2970. What are the prime factors of v?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((32\/(-20))\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/435064 and 61\/32.\nAnswer: 1740256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 92*t**3 + 1058*t**2.\nAnswer: 2*t**2*(t - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**10)**(-1\/4)\/((k\/((k**(-7\/8)*k*k)\/k))\/k**(-23)) assuming k is positive.\nAnswer: k**(-213\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 54. Suppose -2*w + 12 - 8 = 0. Let q(c) = 0 - 4*c + 50*c**2 + 4 - 49*c**w. Calculate q(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 22. What is the remainder when 22 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let t be g\/4 + 4000005\/10. What is t rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/4 - 4*i**3 + i**2\/2 + 14*i - 2. Let u be s(-12). Determine j so that 2\/5*j**4 - 2\/5*j - 2\/5*j**u + 2\/5*j**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 274803*k - 3 + 274810*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 21 = 3*a. Let b = a + -11. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*k = -12 - 52, 5*m - 142 = -4*k. Suppose 0 = 2*d - m*d + 2736. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide ((-373)\/(-2))\/(3\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - a = 11*s - 13, -8*s + 13*s = 9*a + 44 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**7\/840 + c**6\/60 + c**5\/40 + c**4\/4 + c**3\/3 - 5. Let y(p) be the third derivative of l(p). Is y(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1190 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 3, h: 3, q: 1, a: 4, m: 2}. Give prob of picking 3 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -23 + 30 - (-2)\/(-2) - 8. Sort a, -1, 8.\nAnswer: a, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + s**2 + 7*s + 5. Let g(c) = c**3 - 4*c - 2. Let r(q) = -11*g(q) - 6*m(q). Let h be r(7). What is the highest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 2. Let i be q(7). Let n(s) = -2*s**2 - 8*s + 3. Let c(k) = 3*k**2 + 8*k - 3. Let p(u) = i*c(u) + 6*n(u). Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 81*t**2 - 79*t - 162. What is g(80)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f + 83. Let y be a(-18). Let x = 229 - y. Let l(s) = s**2 + 8*s - 3. Calculate the smallest common multiple of l(-9) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*m*n + 3*h**2*m - 202*h**2*n + 3*m*n wrt m.\nAnswer: h**2*n + 3*h**2 + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.498 * -11.\nAnswer: 16.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - o = 6*o. What are the prime factors of o + (-28)\/(-1) + -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266678 is divided by 5202.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + (-235)\/((-682440)\/(-232272))?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 29 = -2*a - 4*w + 6, -4*a - 36*w - 11*w = -251 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22554316?\nAnswer: 2, 107, 52697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/645444 and 85\/22?\nAnswer: 7099884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**3 + 0*v**4 + 3\/20*v**5 + 0 + v**2 + 2*v. Differentiate s(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-2556)\/69 + (-6 - 1390\/(-230))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1986, -1981, -1974, -1965, -1954, -1941?\n\"Answer: q**2 + 2*q - 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 1653 = 23*d. Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:24 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2522.2 times 0.4\nAnswer: 1008.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4 - 5 + 2*o + 3*o**2 + 4. Suppose 0 = 4*t - 2*p - 4, -43*p - 6 = -3*t - 41*p. Is 5 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**8\/168 - 2*h**7\/105 + h**5\/15 - h**4\/12 + h**2. What is j in c(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-47 + 27) - (-12 - (4 - 1))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 1484126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*o - 0*w + 16, 3*o + 2*w - 24 = 0. Let h = 8 + -6. Suppose 0 = b - h - 3. Solve b*u - 8 = -4*c, -2*u + u = -4*c + o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/14498645 and 44\/497315.\nAnswer: 188482385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 - -1 - (3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 - 1496294?\nAnswer: -1495819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*h + 1. Sort 2, h, 3, 5 in decreasing order.\nAnswer: 5, 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 52*j - 465. Calculate t(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 3 + 0*u**2 - 1 + u**2 - 1. Let d(h) = h**2. What is d(c(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167003 - 167010. Let g = -3 - -3. Let x be 2\/(-10)*-4 + g. What is the third biggest value in -4, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/7555040 and -137\/16560.\nAnswer: 67995360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31484132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 912954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 11 + 19. Let d be 2\/10 - ((-414)\/y - -5). Let i be (6\/(4\/2))\/(d\/63). Calculate the highest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.7 - 37.4. Put 0.4, -1, u in ascending order.\nAnswer: -1, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 + 98 = 3*s. Let p(h) be the third derivative of 1\/54*h**5 + 4*h**s + 0 + 0*h - 2\/27*h**4 + 4\/27*h**3 - 1\/540*h**6. Find j such that p(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**3 - 2*r**2 + r + 2. Suppose 0 = 4*q + 47 + 1. Let x = 6 - q. What is the remainder when i(2) is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l - 16. Let d(b) = b - 3. Let t be d(7). Suppose 8 = t*y - 0. Put -5, l, y in descending order.\nAnswer: y, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 1, t: 4, h: 2}. What is prob of picking 1 p and 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -276*b + 1829. What are the prime factors of w(-83)?\nAnswer: 29, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412829 to the power of 1\/2, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129239.\nAnswer: 11, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -35066.8 to the nearest one hundred.\nAnswer: -35100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n - 1. Let v(d) = -20559*d. Determine j(v(u)).\nAnswer: -287826*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6401, 7135, 7869?\nAnswer: 8603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.8 + -22.8. Let h = -8 - l. Which is the nearest to -2\/3? (a) h (b) -2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 22 = z + 5*n, z - 3*n = 20. Suppose -z*l + 33*l - 3157 = 0. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 416, 736, 1348, 2348, 3832, 5896?\nAnswer: 8636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607766 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + 300?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -830330, -830481, -830632, -830783, -830934?\nAnswer: -831085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + sqrt(1053)*-1)*2*6*-6 - (-1 + sqrt(1053) + 1 + sqrt(1053) - (0 + sqrt(1053))*6))**2*-3.\nAnswer: -50544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**4 + 11*j**3 - 40*j**2 + 19*j. Let z(g) = -g**4 - 13*g**3 + 39*g**2 - 19*g. Let a(r) = 2*k(r) + 3*z(r). Let a(t) = 0. Calculate t.\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 4*f**2 + 11*f - 42. Let z be c(3). Let s(x) = 2*x**3 - 5*x**2 + 4*x - 1. Let t be s(3). Solve z*l + 4*l = t, 4*h - 2*l = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*q - 56, 0 = -2*u + u + 5*q + 12. Let r = u + 10. List the prime factors of (-7 - 0)*(r - 8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1524 by 2.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/7)\/((j**(-1\/5)*j)\/j*j))\/(j**(-4\/3))**(-16))**(-1\/36) assuming j is positive.\nAnswer: j**(2339\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15152978 and 581?\nAnswer: 106070846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from oocele?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 - 3*k + 384. Let t be p(0). Let y = 44 - 16. Suppose t = y*u - 25*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/160 + 47*v**4\/32 + 2209*v**3\/16 + 4*v**2 - 29. Factor j(a).\nAnswer: 3*(a + 47)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 0.4, 0.5 in ascending order.\nAnswer: -1, 0.4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/53 - -32\/371. Let s = -218 - -196. Let u be 36\/(-66) + 54\/s. What is the third smallest value in 3\/7, u, v, 4\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:30 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28338, 113321, 254952, 453231, 708158, 1019733, 1387956?\nAnswer: 1812827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -2, -8.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/12 + 10*j**3\/3 + j**2. What is the smallest common multiple of 4 and v(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1102102 and 10284.\nAnswer: 6612612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1224884, 2449767, 3674652, 4899539, 6124428, 7349319?\nAnswer: 8574212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -61235 divided by 1655\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:26 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96.3 * 27.\nAnswer: -2600.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -123, -108, -97, -96, -111?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3099456 is divided by 936?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -10. Let j be 21\/66 - (-1)\/i. Suppose -2*q + 7 = -3. What is the second biggest value in 0.3, q, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19896 = 1319*u - 1311*u. What is u rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.16\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.91*305358\nAnswer: -277875.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -0.14, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 - -391. Solve 2*y + 6 + 2 = 2*n, -y = -f*n + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.331 - 0.331. Sort 31, p, 0.4 in increasing order.\nAnswer: 0.4, p, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34322219 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odxd when four letters picked without replacement from {x: 1, d: 18, o: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 2*y = -14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 11*i = -10*i + 10. Let c(w) be the second derivative of 0*w**i + 1\/12*w**4 + 3*w + 1\/6*w**3 + 0. Factor c(g).\nAnswer: g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/(314664\/(-3438828))\nAnswer: -102\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16236, -16269, -16302, -16335, -16368?\nAnswer: -16401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*z**3 + 27*z**3 + 47*z**3 - 54*z**3.\nAnswer: 96*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times 560\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0*g**2 + 73*g + 68 + 28\/5*g**5 - 1\/2*g**4 + 0*g**3. What is the first derivative of m(b) wrt b?\nAnswer: 112*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s - 56*s + 100*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0*n**3 + 0*n - 1\/105*n**7 + 0*n**4 - 3*n**2 - 1\/60*n**5 + 0*n**6 + 0. Find the third derivative of k(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2645.\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24456)\/12*-3*15\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -27*t**5\/5 + 588*t**4\/5 + 12093*t**3\/5 - 285378*t**2\/5 + 91980*t + 116424\/5 = 0.\nAnswer: -22, -2\/9, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3 + 0*i**3 - i**3 + 9*i**2 + 9 - 15*i - 5. Let l be g(7). Factor -2*m**2 + m**2 + l*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-3) + (-8 - 0). Let b(d) = -d - 4. Let l be b(w). Solve -l*m - 2*r = 0, -2 = m - 0*r + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -74*i + 520. Let r be a(7). Solve 0 = -r*q + 4*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-110)*(-20)\/(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 5. Let x be a(-5). Suppose -2 = c - x. Sort 2, 0, c in descending order.\nAnswer: 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4109, -8199, -12291, -16385, -20481, -24579?\n\"Answer: -o**2 - 4087*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 223, 345, 529, 775?\n\"Answer: 31*m**2 + 29*m + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - w)*(-90 + 3 + 10 - 2 + 5 - 2 + (-4 + 4 + 1)*(0 + 3 - 1))*(-3 + w + 3).\nAnswer: 74*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 485343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*o = -27 + 1, 0 = -5*o - 10. Suppose -4*z + w*q + 7308526 = 19548551, -4*q + 12240020 = -4*z. Round z to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1294686\/23 bigger than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhq. Give prob of picking 1 l and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.00067 and 128880.\nAnswer: 128879.99933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -779*n**3*s*y + 1253*n**3*y**2 - 13*n**2*s*y**2 - n*y**2 + 42*n + s*y + 4*y**2 wrt n.\nAnswer: -4674*s*y + 7518*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 4*v - 24. What is the units digit of b(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 7*v + 12. Let s(c) = -8*c**2 + 28*c - 47. Let d(l) = 9*g(l) + 2*s(l). Let n be d(6). What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10974614209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -182, -176, -168?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.04, 3.01, 12?\nAnswer: 3.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69937, 139845, 209749, 279649, 349545, 419437, 489325?\nAnswer: 559209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-10 - (-5 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/22 - (-6)\/(-33). Suppose 2*x + 37 - q = 0. Let z be (-48)\/x - 4\/6. Solve 5*l = -z*h - 21, -9 + 24 = -2*l - 3*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/2*(-60)\/35. Suppose -q*o + 8*o = 18. Differentiate k**4 - 4 - o*k**4 + 1 with respect to k.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc823b (base 14) to base 7.\nAnswer: 120352204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.03 - 0.03. Let c = 49 + -50. Is c at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five halves of a centimeter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29232 and 178272.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 + 5*p + 6. Let q be t(-4). Let z be 8\/84 - 1683\/(-189). Suppose n = -q*n + z. Let c(j) = j**2 - 2*j - 3. Give c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55989.921 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 3*m - 214 = 14*i, 0 = -2*i - m - 418. Let z = i - -323. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*w + 690*w - 1390*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 29*r. Let p(v) = 3*v**2 - v - 2. Let x(j) = 32*j**2 + 65*j - 20. Let w(i) = -10*p(i) + x(i). What is u(w(d))?\nAnswer: 58*d**2 + 2175*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5727679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1058247 + -43?\nAnswer: -1058301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8952 and 12.\nAnswer: 8952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4 + 3. Let z(i) = 5*i + i - 5*i + 12. Calculate the remainder when z(0) is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let c(w) = -7*w + 5. Let j(m) = 10*m - 7. Let k(b) = 7*c(b) + 5*j(b). Determine k(u(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 192439*m**3 - 45583*m**3 - 4*m**2.\nAnswer: -238022*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - z - 2. Let d be g(-2). Suppose d = 2*n - 1 - 7. Let u(t) = -t**2 - 13*t + 2. Calculate the remainder when n is divided by u(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - z = 5, -12*z = 8*q - 12*q + 60 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39 - 69 + 24*p**3 + 41 wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 8*y + 9. Suppose -2*f - a + 158 = -2*a, -2*f - 3*a + 150 = 0. Calculate the remainder when f is divided by c(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 + 1590360*f + 14313483 = 0. Calculate f.\nAnswer: -9, 530129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 - 585*v**3 + 630717*v**2\/4 - 22667221*v\/2.\nAnswer: v*(v - 2042)*(v - 149)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-998435)\/15)\/((18\/(-27))\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -p - 19, 89*p - 87*p - l = -5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3173, 3175, 3177, 3179, 3181?\n\"Answer: 2*p + 3171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13fa (base 16) to base 3\nAnswer: 21000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, i: 4, u: 7, j: 1}. What is prob of sequence uu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, d: 2}. What is prob of picking 1 p and 1 d?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1188 divided by -6\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-10)\/(-8)*924\/495).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -162328, -324658, -486988?\n\"Answer: -162330*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 26*j - 26. Let f be c(-19). Let z = f + 6860\/27. Suppose 0 = 4*r, 5*h - 3*r = -4 - 1. Is z smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396580461 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96991 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 10*d**2 + 7*d + 21. Let f be 130\/14 - 4\/14. Let q be o(f). Find the common denominator of -39\/4 and q - -3*100\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279084 and -379?\nAnswer: -105772836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y + 21. Let v be w(-2). Let h = 0.01 - -7.99. Let f = h + -3. What is the second smallest value in f, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + y + y + 714 = 0, y - 723 = -5*q. Let u = q - 60. Suppose -277*v + 1218 = -219*v. Calculate the greatest common divisor of u and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 8*w - 1829146 = 0. Let d = 4629146 + w. Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25561, 52676, 79791?\n\"Answer: 27115*s - 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10873.3109 - 10874. What is j rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-95865)*-83*5\/(-2)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 126\/5*h + 0 + 3\/5*h**3 - 69\/5*h**2 = 0. What is h?\nAnswer: 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.353637 - 0.03633.\nAnswer: 5.317307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 20*m - 22*m. Solve -104 = 18*g - m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1319233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -8.\nAnswer: -49\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 46*g - 152. Let j be n(-49). Which is the fourth smallest value? (a) -5\/6 (b) -2 (c) j (d) 0 (e) 3\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1053) + sqrt(1053) + sqrt(1053)*-2 + 2 + -3 - ((sqrt(208)\/sqrt(4))\/sqrt(4) + -4 + sqrt(325)))**2 + 5.\nAnswer: -36*sqrt(13) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*c**4 - 21929312*c + 698798 wrt c?\nAnswer: 28*c**3 - 21929312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + 0*c**2 - 43 + 41)*(3 + 0 - 5)*(2 - 9 + 2) in the form r*c + s + n*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13e9 + -c0?\nAnswer: -14a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*-5*(-4)\/(-10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5556 rounded to the nearest one hundred?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5077\/1065 + 7\/213. Let t = o + -206\/45. Sort -3, t, 1\/10 in decreasing order.\nAnswer: t, 1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*v = -3*v - 2292. Which is smaller: v or 528?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l + 21. Is 15 a factor of k(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 + 647\/3. Factor 0*k**2 - f*k**3 + 2\/3*k**5 + 0*k + 0 + 0*k**4.\nAnswer: 2*k**3*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.994686 to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92570849.\nAnswer: 7, 1889201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11366246 + 11366227.000049. Let u = -19 - m. What is u rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 4\/145, -2\/19?\nAnswer: 4\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-91)\/143 - (-2)\/3. Let r = -278 + 276. What is the closest to i in 3, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 5. Let z be k(-2). Let c(h) = -9*h. Suppose -q = 3*q - 64. What is the remainder when q is divided by c(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 2*t + 73 - 68, 4*u - 5*t + 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (2 + 3)*(20\/(-25))\/(-4). Put y, 219, 5 in ascending order.\nAnswer: y, 5, 219","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250 - 3.13\nAnswer: -253.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50794 + -50198.29. Let j = 7.29 + g. Let h = 603.00391 - j. What is h rounded to 4 dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128.66 + 128. What is r rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -0*l - 294. Let a be l\/20 + 2 - (-22)\/55. What is g in 27\/2*g + a*g**2 + 1\/2*g**3 + 27\/2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 258*z - 3975 = 885 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 831*l - 85*l = 861*l - 51570 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 - -109. Let n be (3 - 6)*28\/h. Let y = 1 + 2. Sort y, 1, n in decreasing order.\nAnswer: n, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/33)\/((-101)\/((-4848)\/96)).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/20 + 37*j**4\/24 + 24*j**2 + 1. Let u(n) = -n. What is u(g(q))?\nAnswer: 3*q**2 - 37*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10 - 91*k - 7*k**2 + 32*k - 7 + 32*k + 5*k**2. What is i(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -26 - (16 - (26 + -2))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 3019*p**5\/60 + p**4\/24 + 30*p**3 + 46*p**2 + 2. Find the second derivative of w(f) wrt f.\nAnswer: 6038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*u - 108*u + 55*u + 1995 = 0 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-340)\/(-7))\/(-20))\/(3\/(-21))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -2613a10?\nAnswer: -2613a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2782736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197640 and 1037.\nAnswer: 3359880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 110021111211?\nAnswer: -110021111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:56 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53388 = -g - 5*g. Suppose -5*c - 9 = -2*c. Let k be -1 - g - c - 0. What is k rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 265*h**3 - 5*h**5 + 112*h**4 + 98 + 13*h**5 + 28*h**2 - 110*h**2 - 266*h + 121*h**3 = 0. Calculate h.\nAnswer: -7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 22*o. Let z(t) = -1161*t + 3. Calculate z(y(s)).\nAnswer: -25542*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yooooyoooyoooyoooooo. What is prob of picking 4 y?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose 4*l + 10 = -f*u, -7*l = -2*u - 4*l + 11. Suppose 2*z + 2*x - 11 = z, z - x + u = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228204309.\nAnswer: 523, 2348383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 z, 1 r, and 1 i when four letters picked without replacement from {i: 2, z: 2, r: 4, q: 2, x: 9, n: 1}.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47426 - 44414. Solve 10*n = -2962 + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:40 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155226*v**5 + 9*v**2 + 12*v + 17 wrt v.\nAnswer: -9313560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - w**2 - 4*w**2)*(286 + 1282 - 408)*(-2 + 0 + 0).\nAnswer: 2320*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17304008 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -1. What is the first derivative of 7*o + 3*o - 2*o - 12*o + a wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**10\/(d\/d**(-4\/17)))\/(d\/(d**(-2)*d)*d*d*d\/d**(-15\/7)*d*d))**(2\/37) assuming d is positive.\nAnswer: d**(-90\/4403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 392, 1583, 3568, 6347, 9920, 14287?\n\"Answer: 397*g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*g - 9*g**3 - 19 + 15 - 32 - 4*g**3 wrt g?\nAnswer: -39*g**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/3 - 2*j**2 - j + 1. Let y(l) = -4*l**2 - 2*l + 2. Let g be y(2). Let x = -22 - g. What is f(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19900 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = -5. Is d equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121902 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: Is -0.07 at most -89\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 2. Suppose i*p = 1408 - 496. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.37 (b) 3 (c) 7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:34 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + (-99)\/(-77). Calculate the remainder when 47 + 11 - (y + 0) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96770071\/16416 + 112000\/19. Calculate the common denominator of 7\/12 and f.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g. Let a(j) = j + 13394407. Calculate l(a(d)).\nAnswer: 5*d + 66972035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -29 - 483. Calculate the highest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3 + 2*c**2 + 8*c. Let z be i(0). Suppose 30 = 3*o + z*h, -4*h + 6 = -2*o + o. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - b)*(-2 + 0 + 0) + (-64515 - 42555 + 22655 + 16602)*(-3*b - 2*b + 3*b) to l*b + t and give l.\nAnswer: 135628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23*((-4)\/(-5)*(-475)\/760)\/(2\/(-4))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387934 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2680 divided by 5\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016396877 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1896 divide 59424314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1206*t + 1175*t - 558 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkwkkkkkkkkl. Give prob of sequence klw.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 128 = 10*c. Calculate the common denominator of -68\/33 and (18\/252)\/(c\/(-23)).\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354009 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30832?\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:42 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10724 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m + 119*m = 708 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -58*r + 1738. Let t(y) = 46*y - 1739. Determine 5*t(k) + 4*x(k).\nAnswer: -2*k - 1743","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + s, 521*h - 4*s - 6 = 523*h. Suppose -3*l = 3*g - 27, 2*g + 6*l - 3*l - 21 = 0. Sort h, g, 3, -3 in decreasing order.\nAnswer: g, 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x - 6*x**2 - 57*x + 115*x.\nAnswer: -6*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9532 rounded to 1 dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-6))\/(1704\/11502))\/((-6)\/(-20)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 16) + 17 - 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g\/(g\/(g*g*g\/g**1*g))*g*g))\/g)\/g**(2\/7))\/((g**(-3)\/g)\/((g*g*g*(g*g**(1\/2)\/g)\/g)\/g)))\/(g**30)**(-3\/13) assuming g is positive.\nAnswer: g**(935\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 17 = f - 2*f, -f - n = 9. Let v(j) = -j. What is the smallest common multiple of v(f) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.79 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*h - 60*h = 100*h - 5460 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1481, -2.2, -1\/798 in increasing order.\nAnswer: -2.2, -1\/798, 1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 4*a - 667 + 665)*(0 - 3 + 5).\nAnswer: -10*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 2.\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) - (-12)\/(-36). Solve m = 4*a + 5*c - 28, c + 8 = 3*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1023 and 43431.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, -5, -3615, 14 in descending order.\nAnswer: 14, 4, 3, -1, -5, -3615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1402015 (base 6) to base 10\nAnswer: 78203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -22445956.\nAnswer: -22445956.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18957, 75655, 170153, 302451, 472549, 680447, 926145?\nAnswer: 1209643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i = -12. Let s be (2 - 5)*-2 - i. Suppose -3*c + 15 = s*m, -4*c - 7 = -2*m - 3*m. Solve m*a + 37 = 5*j - a, 15 = -5*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4683, -4751, -4863, -5019, -5219, -5463?\n\"Answer: -22*q**2 - 2*q - 4659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-24)\/(-6)) + 3006?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*y + 11 - 4 + 286*y - 7 in the form h*y + s and give h.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + f = 19, -2*b - 4*f + 151 = 159. Let m(u) = -5*u + 2. What is the lowest common multiple of b and m(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 5 - (17 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 250*t**2 - 19*t - 26. Let o(u) = -83*u**2 + 6*u + 8. What is -6*l(a) - 19*o(a)?\nAnswer: 77*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 4*i**2 + 3*i + 8. Determine a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cgccgccggccg?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7224 + 7450. Calculate the highest common divisor of s and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2)*(1 - 19). Suppose -6*l + 2*l - u = -2*a, a = -l. Let d = l + 4. Solve 0 = 6*k - 4*k + 2, -r + d = 2*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 3*t)*(0*t**2 + 4*t**2 - t**2)*(13*t**2 - 19*t**2 + 7*t**2).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -338 (base 10) to base 4.\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0 + (-456)\/((-36)\/6). Let f = 91 + -151. Let o = m + f. Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93033000 divided by 75\nAnswer: -1240440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/1 - (10 - (1 + 5)). Solve -y*n = -14*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368605472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 divided by 104.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0837 + -0.4295. Let p = -0.11 - -0.63. Let u = w + p. What is u rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (19 + -12 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21519\/13 - -1657. Suppose -3*a - 27 + 51 = 3*o, 4*o = -2*a + 18. Is t < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303 (base 4) to base 9.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 25, -4*h = 2*s - 0*s - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l**2. Let v(f) = -f**3 + 3*f**2 + 5*f - 4. Let c(i) = 3*s(i) - v(i). Let k be c(-4). Let y = -36 + k. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636405 is divided by 433.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-15)*a\/(((a\/((a**(-2)*a)\/a))\/a*a)\/a)*a*a*a assuming a is positive.\nAnswer: a**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1229 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p*z**3 - 8*p*z**2 + 73*z**3 + 16*z**2 wrt z.\nAnswer: 42*p + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) - -10*15\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/3 - 173*u**4\/3 - 3759*u**3 - 156031*u**2\/3 - 544420*u\/3 + 237300 = 0.\nAnswer: -35, -10, -9, 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 22 + -39 - -30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210100 (base 5) to base 8.\nAnswer: 15364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 313*y**2 - y + y.\nAnswer: -313*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/3)\/t**(2\/35)*(t**(-7)*t)\/t*t**(-5\/4)\/t assuming t is positive.\nAnswer: t**(-3629\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/26 - 19*g**2\/13 + 60*g\/13 - 1300. Factor c(w).\nAnswer: 2*(w - 3)*(w - 2)*(w + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-3))\/(4\/18). Suppose -i = -y - 3. Calculate the smallest common multiple of ((-28)\/(-6))\/(y\/18) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52620 by -6.\nAnswer: -8770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160757, -321513, -482269, -643025, -803781?\nAnswer: -964537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1 - 2 - j**3 + 0 + 3*j**3 - j. Let w be g(-1). Let o(a) = -3*a**3 - 4*a**2 - 3*a. List the prime factors of o(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*d - 7 - 24, 4*d + 44 = 4*v. Let k be -2*v*(-1 + 0). Suppose k = 5*f - 3. Solve y - f*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -244? (a) -5 (b) 1\/81 (c) -72 (d) -1\/6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -7. Let p be (2\/(-2))\/(y\/(-888)). Is (p\/(-6))\/((-4)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 132\/15 - 4\/5. Let y(w) be the third derivative of 0*w - 1\/1470*w**7 + 0 - 4*w**2 + 0*w**4 + 0*w**5 - 1\/2352*w**v + 0*w**3 + 0*w**6. Solve y(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862345 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.005 and -43886?\nAnswer: -131877.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4787, 19156, 43105, 76634, 119743, 172432, 234701?\nAnswer: 306550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 + 6 = -36*w + 34. What is the lowest common multiple of w and (30 - 0)*8\/5?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/((v\/((v\/(v\/(v*v\/(v*v*v*v**46))))\/v))\/v)))\/v**(-20))\/((v\/(v*v**(11\/5)))\/(v**(-4\/7)*v)) assuming v is positive.\nAnswer: v**(2402\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 0*m**2 + 2*m**2 - 2*m - 2*m**2 + 2*m + (-m**2 + 3*m**2 - 4*m**2)*(2 + 1 - 1) - 4*m + 4*m + 2*m**2 + 310*m**2 - 340*m - 158*m**2 - 150*m**2.\nAnswer: -m**2 - 340*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {e: 10, a: 3, h: 3, c: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8818 - -0.1182. Which is bigger: 274 or i?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3326 (b) 0.1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*l - 0*l - 35, 5*c - 5 = -3*l. Suppose -57 = -l*b - 2. What is the remainder when 40 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:29 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t\/(t*t**3\/t)*(t\/(t*t**(-3\/23)*t))\/t)**(-5\/8) assuming t is positive.\nAnswer: t**(25\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 44?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -845*q - 655. Let w be u(-4). What is the highest common factor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k\/(k*k**(-4)*k)*k**(-30) assuming k is positive.\nAnswer: k**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/4 - 183*o**3\/2 + 1545*o**2\/4 + 1044*o + 567 = 0. What is o?\nAnswer: -126, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 64.899. Let l = a + 0.0953. What is l rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1671 + 1669. Let v(m) = m**2 + 8*m - 4. Let x be v(6). Is 11 a factor of x + (-1 - f - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 10. Give a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309739003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -197*p**2 - p**5 + 197*p**2 - 4*p**2 + 4*p**2 - 2*p**5 + (2*p**4 + p**4 - 5*p**4)*(p - 2 + 2).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (19 - 39 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 5*p**3 - 419638*p + 419638*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 78833213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9462)\/(-10 - -4) - (-4)\/2. Let f = z + -9569\/6. What is the common denominator of 59\/84 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f - 199. Give v(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57 + (-1 - -2) - 2. Suppose 0 = 5*g - y + 1. Let b = -8 + g. Solve -b*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + u + 1, 9*u + 34 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -3137*w**6\/120 + 817*w**3\/3 - 4*w**2 + 440. What is the first derivative of q(c) wrt c?\nAnswer: -9411*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-40 - -1) - (10 + 26 - 29).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 27 - 22 - f - 2*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2)\/2 + 9. Does 8 divide -4 - (-12)\/x*21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/7 (b) 0.2 (c) 0.02 (d) -8 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 46\/5 (b) -4 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -344*o**3 + 3*o - 3154 + 5*o**3 + 3151 wrt o.\nAnswer: -2034*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**4 + 86*s**3 - 2*s**2 - 6704.\nAnswer: 4*s**3 + 258*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*z = 8*s - 10*s - 34, 3*s + z + 23 = 2*z for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 9 = -2*q. Let t(b) = b**3 + 8*b**2 - 11*b - 13. Let i(y) = -y**2 + 9*y + 13. Let o be i(11). What is the remainder when t(o) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*v - 12 = 0, -3*v + 2 = -4*j + 1. Is (j\/(-6))\/((-6)\/(-153)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124769622 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4 + 2*i + 294*i**2 + 388*i**2 - 2 - 4*i. Let d(z) = 683*z**2 - z + 1. Let u(r) = 3*d(r) - 2*g(r). Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8274 + -8223. Calculate the remainder when q is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + sqrt(272)*-1) + (-2*(sqrt(272)*1)**2 - sqrt(272) - (1 + sqrt(272) + 1)**2))*4 + 5.\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v = -26*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = -70. Let v(b) = 3*b**2 - 3*b + 2. What is the remainder when q is divided by v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 3)\/(3\/(-22)). What is the second derivative of 14*s - 2*s**2 - r*s - 2*s**2 wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41876 = -1134*w + 530*w + 37852 for w.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/(z**(-2\/21)*z)*(z\/z**(-11\/4))\/z assuming z is positive.\nAnswer: z**(407\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 10*w + 32*w - 8*w - 7*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -92, -348, -856, -1700, -2964?\n\"Answer: -14*d**3 + 10*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68618 - 18221. Suppose -2*r + 3*a = -k, 3*a + 100796 = 4*r - a. What is r rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/7 + 9292*t**2\/7 + 10411378*t\/7 - 893403040\/7 = 0. Calculate t.\nAnswer: -2363, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*m**2 - h**2*m + 10*h**2 - 9*h*m**2 - 12*h + 12*m**2 - 7*m wrt m.\nAnswer: -2*h**2 - 18*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -5, -42, 8\/5, 6, 82?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 505541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 > 17\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 + 4. Let r = 0.3 + w. Let k = 0.1999952 + r. What is k rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -7, -54*s + 156*s = 5*f + 51*s + 50*s + 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -9378894?\nAnswer: 9378896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((((s**0\/s)\/s*s)\/s)\/s*s)*s)**(-1\/23)*(s*s**(-5)*s*s)**(1\/26) assuming s is positive.\nAnswer: s**(-75\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 2}. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 6.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 9*q**2 + 4. Let b be n(9). Suppose 5*t - 19 = b*t. Suppose -r + 3 + t = 4*g, -2*r - g = -9. Put 5, r, -2\/11 in ascending order.\nAnswer: -2\/11, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 44 = 5*i, -2*i + 2*n = -4*i + 24. Suppose 4 + i*u + 2*u**4 - 8*u**3 + 5 + 2*u**4 - 13 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i - 96. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:37 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Let l be 3\/(-2*3\/(-6)). Suppose -5*b - 4*c + 31 = s, 2*b + 0*b - 18 = -l*c. Solve -4*p + 22 = p + b*x, -3*p + 14 = x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3962.8 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 55.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 16066642?\nAnswer: 16100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10031, 4927, -177, -5281, -10385, -15489?\n\"Answer: -5104*p + 15135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 14*w - 4. Let n be p(-10). Suppose -5*v + 24 = -n. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2) + (0 - -2). Let c be (5*-1*n)\/(-1). Solve -2*m = 0, -3*y - 9 = -6*y - c*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2533*q + 2528*q - m, -8 = -m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -12. Let i = -1.97 + -0.03. Sort i, 5, v in decreasing order.\nAnswer: 5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, -1, -2 in decreasing order.\nAnswer: 5, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (6 - 1) + -7 - -30) + -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*s**2 - 458*g**4*s - g**3*s + 2*g**2*s**2 - 10*g**2 - 63*g wrt g?\nAnswer: -24*g*s**2 - 10992*g*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y - 1. Let a be d(-2). Let o = -2 + a. What is the greatest common factor of o and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**4 + 12*m**2 + 2. Let n(x) = 5 + x**2 + 12 - 16. Let j(y) = -d(y) + 2*n(y). What is the third derivative of j(s) wrt s?\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a + 1. Let w be q(7). Suppose -6*d = -5*o - 2*d + 3, 3*d = -3*o + 18. Suppose 4*v = -s - 71, 4*v + o = 2*s - 71. Is w at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 298\/(-36) + 12\/(-54). Let n = -47\/6 - d. Let w = -0.2 + -0.8. What is the smallest value in n, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2 + 4 + -1). Suppose 0 = -5*b - 4*s - s + 95, -3*b - 4*s + 56 = f. Solve -3*g - 2*g + b = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 16*h + 122. Let n be f(6). Calculate the highest common divisor of n and 4687.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9456 and 87\/15760.\nAnswer: 47280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191450 and 218800.\nAnswer: 1531600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6 - (-6 - 70\/(-15)). Let j(q) = -q**3 - 14*q**2 - 14*q - 15. Let b be j(-13). Let l = b - 3. Put 5, m, l, -2 in decreasing order.\nAnswer: 5, m, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 261, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7704?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 m when three letters picked without replacement from mftittgmmmftsmti?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*s + 32 = 0, -5*s + 28 = -118*t + 116*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173633608 and 4280?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k - 3. Let z(m) = 2 + 7*m - 3 - 3. Suppose p = -3*y + 27, 10*p - 55 = -5*y + 5*p. Suppose 0 = 6*r - y*r + 10. Determine r*s(q) - 4*z(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1133\/4 in -4\/7, -1\/6, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let t = 8 + j. Suppose 0 = -t*z + 23 + 1. Solve z = -2*s + v + 2*v, -5*s - v = -2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 20. Let s(k) = 18*k**3 - 20*k + 9*k - 4*k**2 + 2*k**2 + 8*k. Let g(h) = -37*h**3 + 4*h**2 + 5*h. Let i(t) = p*g(t) + 7*s(t). Determine i(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.11 - -6.7. Let o = b + -0.09. What is the biggest value in -4, -10, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Let d be u\/2 + 3\/1. Solve d*y = 4*w - 5, -y + 2*w = -2*w + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 17. Let i be (-1 - (-1 + -2))\/2. Let s = o - i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, 9, 1.\nAnswer: -341, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 24, 4, -3\/7, 12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 3*n**3 - 3*n**2 + 2*n**2)*(-3 + n + 3).\nAnswer: -3*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = -2*g + 487, 3*g = 4*s - 1981. What are the prime factors of s?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1160.9 less than 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 12*d = 21*d + 2*w + 91, 5*d - w = -97 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d. Let f(j) = 108*j. What is f(z(n))?\nAnswer: -540*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + b + 1. Let y be v(-1). Let p = y - 0. Let w(k) = -k**2 + 3*k - 2. What is w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/3)\/((-17370)\/(-39372)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -429216 by 4208.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -0.899001613655?\nAnswer: 6.100998386345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*b + 122, 3*z - 3*b = -2*b + 76. Suppose 6*v - 3*v = h + 13, -z = -3*h - 4*v. Suppose -h*d = 5*a - 45, a = -a - 2*d + 12. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -927 by -143.\nAnswer: 927\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4))**(-2\/27)*(o*(o*o\/((o*(((o*o\/(o*o*o**(-13)*o)*o)\/o)\/o)\/o)\/o)*o*o)\/o)\/o**(1\/5))**(-17) assuming o is positive.\nAnswer: o**(13549\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k = -8*s - 41*k - 32, 3*s + 2*k = -12. Let q(h) = -h**3 - 2*h**2 + 5*h + 1. What is q(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -317.9 and -14.\nAnswer: 4450.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 2*g + 7. Let c be n(-5). Let k = c + 10. Suppose 0 = k*l + 3*s - 8, 2*s + 36 = 4*l + 4. What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3229191 to the nearest integer?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 3 (c) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 1. Let p(m) = 2*m + 0*m + 1 - 4*m + 3*m. Let c be p(8). Let n be 6\/(3 - c\/6). Let a(g) = -5*g - 3. Determine n*i(z) + a(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, 28, -9, 36.\nAnswer: -9, 1\/21, 28, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let p(n) be the third derivative of -n**8\/10080 - 11*n**5\/6 + 57*n**2. Let o(m) be the third derivative of p(m). What is -c(u) - o(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 - l**2)*(-318 - 117 + 140) + (-l - 2*l + 2*l)*(4*l - 4*l + l).\nAnswer: 294*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -10289, -555?\nAnswer: -10289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -65. Let b = v - 25. What is the smallest value in -5, b, 0.1, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -948859.\nAnswer: 10\/948859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 - 16 = 0. Differentiate 4 + 10*s - n + 3 with respect to s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 + 21860*c**4\/3 + 500320*c**3\/3 - 2268310*c**2\/3 - 1238245*c - 322650 = 0. What is c?\nAnswer: -1434, -27, -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 6 = -5*u - 3*r, -2*u + 4*r + 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9635789*c*s - 13175621*c wrt s.\nAnswer: -9635789*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 310*j = 4320 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -2.7. Let w = k - -1.4. Let p be (4\/(-6))\/(2\/(-3)). What is the closest to p in -2, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = 2*w + 4*i - 1263, 0 = -3*w - 2*i + 1460. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(45))**2 + 1 + (sqrt(1125)*1)**2 + 0.\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(20\/(-25))*2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -5*c**8\/336 - c**7\/24 - c**6\/36 + 11*c**3\/6 - 19*c**2. Let z(g) be the first derivative of t(g). Factor z(m).\nAnswer: -5*m**2*(m + 1)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1371.962 - -1376. Let h = 0.038 - i. Let a be (-10)\/(-24) + (-4)\/6. Sort a, h, 0.2 in descending order.\nAnswer: 0.2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -96, 4, -1 in ascending order.\nAnswer: -96, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.7212 plus 92.28726?\nAnswer: 184.00846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 3. Let f be a(-3). Suppose -7*l - 4*k = 84, -5*l + 90*k + 8 = 88*k. Sort -26, 5, f, l.\nAnswer: -26, l, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157 (base 15) to base 14.\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - h. Calculate the remainder when g(3) is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from tipdt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + 4 + (6*(sqrt(833)*-1 + sqrt(833)) - (sqrt(833) + -1 + sqrt(833) + 3))*3)**2.\nAnswer: 420*sqrt(17) + 30013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: (-80)\/600 - (-4)\/(-45)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9066.67 + 9029. Let k = q + -0.33. Let w = k - -35. What is the second smallest value in -1\/2, 0.2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (18 + (10 - 17) - (-11 + 0))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8666 to 1 decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1045*n - 58*n**2 - 3*n**3 + 232*n**2 - 2095*n + 1049*n to z*n + d*n**2 + g*n**3 + s and give d.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 6*p - 15 = 3*o, o + 3*p - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-2 - (0 + 1))*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6640 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 19 = 1. Suppose 2*g + o*f = 0, -f = 5*g + f - 40. Let d be (-2)\/5 + (-26)\/g. Which is the smallest value? (a) d (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c0 (base 16) to base 12\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 2*v**2 - v. Let j be r(1). Suppose -q + j*q + 32 = 0. Let c = 45 - q. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r - 37*r + 22*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40262 is divided by 5749?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175750506?\nAnswer: 2, 3, 317, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2448) - (sqrt(2448) - (sqrt(2448)*-2)**2) - sqrt(2448)) + sqrt(2448))*-3.\nAnswer: -29364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 47, 109, 205, 341, 523, 757?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3393643 is divided by 1610.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**5\/20 + 3*q**4\/4 - 2*q - 29. Let d(r) be the first derivative of n(r). Suppose d(w) = 0. What is w?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3666179 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10388 - 7a?\nAnswer: -10435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 19 + 335. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -22 + 34 + (12 - -5)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 12:50 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 57*t**2 - 265*t - 262. Let h be u(-52). Which is the second smallest value? (a) h (b) -1059 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - v + 1, -4*l + 2*l + 2*v + 10 = 0. Is (20 - l)\/3 - 1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 12400199*x - 12400201*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/34 and -51\/2079662.\nAnswer: 35354254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + n - 24. Calculate the remainder when g(7) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by 8\nAnswer: -79\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 616362453 to the power of 1\/2, to the nearest integer?\nAnswer: 24827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -36. Solve 3*s = 5*o - b, s = o + 4*o - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 12*r**2 + 9*r - 19. Let x be c(-11). Factor -19*l**x + 65*l**4 - 5*l**2 - 25*l**5 + 262 - 26*l**3 + 10*l - 262.\nAnswer: -5*l*(l - 1)**3*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3.8, -0.5, 2 in ascending order.\nAnswer: -4, -0.5, 2, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*n - 2 = -33, -4 = -n. Sort 0, 2, 43, i.\nAnswer: i, 0, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255*d**3*j**3 - 2*d**2*j**2 + 3*d**2*j + 34*d*j**3 + 10*d wrt d.\nAnswer: -1530*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2075452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 66*v + 110. Give s(35).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f + 1. Let u be d(-1). Let x = u - -24. Solve -v + 5*v + x = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25918857 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 4*w - 4*w - 10*w**4 - 43 + 43 + (-w**3 + 6*w**3 - 4*w**3)*(0 - w + 0) - w**4 + 2*w**2 - 3*w**2 - w**4.\nAnswer: -15*w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93, 154, 211, 264?\n\"Answer: -2*t**2 + 67*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 2. Let m(i) = 13*i - 90. Let l(r) = m(r) + 5*n(r). Let o be l(20). Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiqv when four letters picked without replacement from {q: 1, v: 1, b: 1, l: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.6 - -8.6. Let y = 0.33 + -0.13. Let s be (-2)\/2 - (-21)\/12. What is the third biggest value in s, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 11:21 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzas when four letters picked without replacement from {s: 1, m: 3, q: 2, g: 8, a: 1, z: 3}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 14*f - 62 = 5*n, 3*f + 3*n - 9 = 0. Solve g = -3*c + 13, c - 4*g + 3*g - f = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12592 by 6.\nAnswer: -6296\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107*z**2 - 1266?\nAnswer: 214*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:29 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 9:43 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3e92 (base 15) to base 11\nAnswer: a093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 6. Let f be x(-2). Solve f*a = a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 3, g: 5, j: 3}. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3787302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -155442\nAnswer: -62176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 25) + 18 - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 71*x - 68. What is the hundreds digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:27 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77025.7 + -77057.700336. Let k = -46 - -14. Let m = n - k. What is m rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(-10) + -10*1\/(-4). Suppose -5*n + 5 = g, a = 5*a - 4*n - 280. Calculate the remainder when a is divided by (-25)\/((-1 - -3) + -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(102)*-1 + sqrt(102) + -2*(sqrt(102) - (sqrt(102) + -1*sqrt(102)))))\/(4*(sqrt(216) - (sqrt(216)*5*-6 - sqrt(216)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qbqqbaqa?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - 2 + 0 + 2*t**4 - 23*t**3 + 9*t**3 - 58*t**3 + 0*t**4 to i + z*t**2 + q*t + a*t**3 + n*t**4 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*l - 7059 + 1824 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 8. Let a be b(-6). Put a, 5, 1 in decreasing order.\nAnswer: 5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z - 36803 + 18402 + 18401. Let c(a) = -a**3 - 6*a**2 - 6*a + 1. Let o be c(-5). Let l(y) = 7*y + 1. Calculate o*l(i) - 5*b(i).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose 0*j + v*j = -2*t + 146, -2*j + 93 = 5*t. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Let x = 243 + -171. Let m be 12\/21 - x\/(-21). Solve 3*t + 23 = -t + f, n = m*f - 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1382 and -20?\nAnswer: -27640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emmj when four letters picked without replacement from {j: 2, m: 9, x: 4, e: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/2 - 75*r**4\/2 - 936*r**3 - 5508*r**2 - 7128*r + 13608 = 0 for r.\nAnswer: -6, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212 + -210. Suppose u*o - 5918 = -4*v, 5*o + 1 = -14. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9)\/(q*q**(-8\/3)*q*q)*(((q\/(q\/(q*q*q*q**2\/q*q*q)))\/q)\/q)**(-14\/9) assuming q is positive.\nAnswer: q**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 2*k - 11182. Let i be t(0). What are the prime factors of i\/(-46) - 2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*p + x, p + 5*x = -4*p - 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 6}. Give prob of sequence gg.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9809779 is divided by 859?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5846, -11673, -17500?\n\"Answer: -5827*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00226072955 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 5) to base 16.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 + 2 - (-1 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1543 = 5*m, m - a = -5*a + 304. Let k be (616\/(-110))\/(3 + 32\/(-10)). Calculate the highest common factor of m and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-843 - -833) + (0 - -4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 8:00 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -25 + 26 - 2*r + 28 + 54. Let u(s) = -31*s. Give u(y(l)).\nAnswer: 62*l - 2573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 - 5?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -56*v - 56. Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*o - 10 = 0, -5*p + 4*o = 71 - 97. Let g be (12 - (14 - 2))*p\/(-4). Suppose g - 1\/3*c**3 + 1\/3*c - 1\/6*c**2 + 1\/6*c**4 = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*(-70)\/15. Let q be (-9)\/(-6) + 2 + m\/(-14). Solve -1 = q*r - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*d**2 - 106*d + 39*d + 144*d**2 - 67*d**2.\nAnswer: -d**2 - 67*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8464.528 decades in centuries?\nAnswer: 846.4528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/93, 2\/11, -0.4, 80, -3, 3\/5?\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5.9, 14, 1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981956?\nAnswer: 2, 31, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3834 - -1.0514. What is u rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = -20. Let y = -6 - -8. Solve -s = -y*s - l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 10 + (-1 - 3 + 2)*(-1 - 1 + 3) + (124 - 15 - 46)*(-6 + 3 + 2))*(4*s + s - 3*s).\nAnswer: -158*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 4*u**2 - u - 2. Give p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**2 - 5*g - 3*g**3 - 5*g**2 + 5*g**3 to l*g + c + n*g**3 + r*g**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -1\/165*t**6 - 17\/33*t**3 - 6\/11*t**2 - 5*t - 7 - 7\/110*t**5 - 17\/66*t**4. What is a in x(a) = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6116316 is divided by 787.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26735, 26738, 26741, 26744?\nAnswer: 26747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -95. What is the remainder when 73 is divided by x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*f**3 - 872*f**3 + 59*f**3 + 57*f**3.\nAnswer: -1005*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*o - 2*o = 36, 4*o = 2*d - 52. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 15*w - 27. Let y be s(-13). What is the hundreds digit of (y\/2)\/(1\/(-1854))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 13 + 71 = -17. Solve 5*c + l = 8*c, -3*r - c = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204530942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.06 - 12.1. Let l = 2.9600334 - y. What is l rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*57\/6*10?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10736640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2414 - 2466. Which is the closest to 6? (a) -0.1 (b) s (c) 1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -649*d**3*j**3 + 10*d**3 - 5757*j**3 + j**2 wrt d?\nAnswer: -1947*d**2*j**3 + 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -75. Suppose 3 = 5*m - q, -z*m = 4*q + q + 15. Solve 0 = 5*l - 5*r - 5, -5*r = 4*l - m*r - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87.30171 millilitres?\nAnswer: 0.08730171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/318 and -191\/162690.\nAnswer: 8622570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -11*r**4\/12 + 2*r. Let y(f) = -665*f - 11. Let w(k) = -907*k - 15. Let m(i) = 11*w(i) - 15*y(i). Give m(o(n)).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 76498*-4.66\nAnswer: -356480.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31362 minus 1236?\nAnswer: -32598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226 + -438. Is -212 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12794, 12877, 12940, 12983, 13006?\nAnswer: 13009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3029939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 18*z = -224220. Suppose -5*v + z = 3*j, -5*j - v + 5883 = -12802. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.31421\nAnswer: -0.21421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -8*x + 6*x. Let j = x - -328. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5191 = z - 2108, 0 = 13*z + 13. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -3 - (1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 85 = -2*m. What is the remainder when 33 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1109\/165 - 3\/55. Let y = -270 + 830\/3. Determine n so that 2\/3*n**5 + 10\/3*n - 2\/3 + y*n**3 - 10\/3*n**4 - g*n**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/259 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9058, 18124, 27198, 36280, 45370, 54468, 63574?\nAnswer: 72688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648416 is divided by 973?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(10\/(-1805)*-19).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 10*s**2 - 2*s + 5. Let t be i(10). List the prime factors of (-80)\/6*36\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/16)\/d*d**8*(d**(-3\/5)\/d)\/(d\/d**(-3\/8)*d) assuming d is positive.\nAnswer: d**(247\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.09 (b) -1\/2 (c) -2\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:47 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, -0.2, -0.1 in descending order.\nAnswer: -0.1, -0.2, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 196961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3386*u**6 - 302*u**5 + 10266648*u**2 wrt u?\nAnswer: 406320*u**3 - 18120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -64, -109, -180, -283?\n\"Answer: -t**3 - 4*t**2 - 6*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041003016 to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155456.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 30*y - 31*y + 282 = 2*i, 0 = 5*i - 5*y - 285 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 3*x - 1. Let r be o(-2). Let d(n) = -7*n - 11*n - 9 + r*n. Give d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*f**4 - 144*f**4 - 6*f**4)*(-2*f + 2*f + f) + (5*f**4 - 24*f + 24*f)*(16 + 8*f - 16).\nAnswer: -158*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10761, 21131, 31559, 42075, 52709?\n\"Answer: 5*o**3 - o**2 + 10338*o + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0 + 1 + 2*v + 4 - 2. Let j be g(12). Suppose j = -d + 4*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*q - 138 - 2*q**3 + 75*q + 78*q to b*q + s*q**3 + h + j*q**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*y**2 + 11795986*j**2*y + 11416315*j*y**2 wrt j?\nAnswer: 2*y**2 + 23591972*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t. Let f(z) = 12368*z**2 + 2*z. What is f(p(n))?\nAnswer: 309200*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -6 (b) 3 (c) 1\/10 (d) -0.5 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.56 + -3.8. Let s = 1.54 + g. What is the smallest value in s, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -176, -263, -332, -383, -416?\n\"Answer: 9*z**2 - 114*z - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-2)\/(-18)). Let d = 9 - c. Let r = 17 - 9. What is the remainder when r is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-2*1 - (-3*sqrt(343) + 5))**2.\nAnswer: -130*sqrt(7) + 1208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 - o**4\/3 - o**3\/6 - 107*o**2. Let v = 53 - 46. Determine y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*x - 1674 = -4*x, -y + 333 = -x. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000 - -2100220?\nAnswer: 2121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 963.73181 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1. Let h(p) = 8*p**2 + p - 64 + 135 - 72 - 5*p**2. Let l be ((-1)\/3)\/((-2)\/(-18)). Determine l*o(k) + h(k).\nAnswer: 3*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30\/300 - (-3)\/(-5) - 114758\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 54*c**2 - 158834*c**3 + 158779*c**3 to the form n + r*c**2 + o*c**3 + w*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219815*t - 5*t**3 - 219817*t - 8*t**3 + (3 + 1 - 1)*(t**3 - 2*t**3 - t**3) to the form l*t**2 + d*t**3 + g + i*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189934788.\nAnswer: 2, 3, 15827899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-16296)\/(-9))\/((-9)\/243*6)?\nAnswer: 3, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328+243\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 727 (b) 5 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3951895.37 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 23*d - 5. List the prime factors of f(7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 215, 224, 235, 248, 263, 280, 299?\n\"Answer: t**2 + 6*t + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1441)\/(-99) - (-80)\/(-144)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 129. Let g = x - -52. Let q be ((-1)\/(-3))\/((-11)\/(-6)). Sort 4, g, q.\nAnswer: g, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-7 - -1) - (-83 + 88 + 58).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451823*k - 838247*k - 297877*k.\nAnswer: -1587947*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 4. Let s(j) = -4*j - 9. Let f(t) = t + 2. Let a(r) = -5*f(r) - s(r). Calculate a(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - 5*x**2 + 4*x**2)*(4*x**2 - 2*x**2 - 4*x**2) - 776*x**4 + 475*x**4 - 856*x**4 - 1825*x**4 as l + r*x**4 + i*x + w*x**3 + m*x**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxjverx. What is prob of picking 4 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + 1 + sqrt(68) - sqrt(68)) + -1 + -1)**2 + 1 + -2*(-1 + sqrt(68)))*4.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 522640179 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: Divide -1 by 549.\nAnswer: -1\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 30 = 4*c - 4*h, -4*h - 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 1\/12*u**4 + 0*u**2 + 4*u - 1\/3*u**3 + 0. Find the second derivative of o(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*h**3 - 548*h**2 + 548*h**2 + (-h**2 - h**2 + h**2)*(-2*h + 6*h - 2*h) to the form g*h**2 + p*h + b + o*h**3 and give o.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(48) + 1)*-2 + (sqrt(48) - (sqrt(48) + -2)) + sqrt(48) + 5)**2*-5.\nAnswer: -1460 + 800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3738*g - 3740*g = -4, -2*g = 2*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 3 + 35 = 0. Calculate the remainder when 42 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4652 + 5030 = -493*o + 5043 - 9165 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 3*c + (-3 + 1 + 0)*(-5*c + 2*c + c) - 3*c - 2 + 2 + 29*c + 33*c - 35*c + 2*c - c + c + (-4*c - 3*c + 5*c)*(0 - 2 + 0))*(-3 + 3 + 4*c).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1\/n)**(-7\/3)*n*n**5*(n*n**(-5)\/n)\/n)\/((n\/(n\/(n**(-1)\/n)*n))**12*(n**(1\/4))**(-46)) assuming n is positive.\nAnswer: n**(271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6044*a**2 + 3*a - 1053.\nAnswer: 12088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - t - 3*t = -26, 0 = -4*z - 2*t - 158. Let b = 13295 + -13332. Do z and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**5*s - 3*o**4*s**3 + 22*o**3*s - 15*o**2*s**2 + 2*o*s - 7*s**3 wrt o.\nAnswer: 300*o**2*s - 72*o*s**3 + 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 21 - 0. Suppose 14*y = 11*y - u. Which is the closest to y? (a) -0.3 (b) 0.1 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-33 - (-1 - 0) - (-283 - -271) - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/6))**14\/(((x\/(x*x**(-14)*x))\/x)\/x)**22 assuming x is positive.\nAnswer: x**(-691\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -882506?\nAnswer: -21\/882506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + (6\/1)\/2. Suppose 5*h = 7*h - b. Let l = -8 - -26. What is the greatest common factor of h and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 - (-4 + 4)) - (1 + -16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-5)\/2)\/(35\/(-70)). Suppose w = a - 6. Let m(z) = z**3 - 10*z**2 + 16*z - 12. List the prime factors of m(a).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3618*x**2 - 267*x**2 + 1201*x**2 to the form a*x**2 + h + o*x and give a.\nAnswer: -2684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3198764 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 16. Let h be t(21). Let y(x) = -48*x - 49. Let c be y(-3). Calculate the highest common factor of c and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z + 2*z. Suppose a - 3*a = -3*w - z, 2*a = -2*w + 10. Are w and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/28)\/((-2)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/28 + (-120)\/(-21). Let x be l\/3 + 1 - -1. Suppose 4*j = -4*d + 32, 0 = 3*j + x*d - 40 + 13. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(2*2\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118298*h - 11*h**3 + 59149*h + 12 + 59148*h - 2*h**2 + (0 + 2 - 3)*(0 + 2*h**3 + 0).\nAnswer: -13*h**3 - 2*h**2 - h + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18865 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -328. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:06 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 51 = -a, 3*a + 0*a = -9. Suppose 2*b + 0*z - h = -4*z, 5*z = -2*b + 50. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7992765 divided by -13255?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/12 + -10)*(-9)\/102?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467308.667 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*j**2*k - 139*h*k**2 + 9*h - 7*j**2*k**2 - 22*j**2 with respect to k.\nAnswer: h*j**2 - 278*h*k - 14*j**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2290 less than or equal to -2292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + b + 49 = 0, 4*l - 2*b + 67 = -3*b. Let m be 128\/5 + 10\/25. Let u = m + l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 137 (b) 4 (c) 2\/21 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6199579646 from 2.\nAnswer: 6199579648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847822336.\nAnswer: 2, 479, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p - 2. Calculate the greatest common factor of p and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 18 + 18 + (-2 - 1 + 2)*(1 - 1 + t))*(t - t + t**2).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 + 145 + 130 - 416 + 26720*z)*(2*z - 2*z + z**4).\nAnswer: 26720*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35517283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-154)\/33)\/(2\/6). Let h(r) = r**3 + 15*r**2 + 13*r - 10. Let q be h(p). Suppose -q*v = m - 1053, -1 = -m - 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79372111 and 1274.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*n**2*t**3 - 2*n**2*t**2 + 14*n**2*t + 17*t**3 - 19 wrt n.\nAnswer: 82*n*t**3 - 4*n*t**2 + 28*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 79*x**4\/24 + 7*x**3\/6 - 653*x**2 + 5*x. Let u(g) = 40*g + 3. Calculate 3*k(i) - 7*u(i).\nAnswer: -43*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782334.\nAnswer: 2, 3, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304 - -24?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33333419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28224 - 21074. List the prime factors of m.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 0*m**3 - m**3)*(-6*m + 6*m + 4*m**2) + 4*m**5 - m**5 - 2*m**5 + (-m**2 + m**2 + 2*m**4)*(-m - 3*m + 5*m) + m**5 + 0 + 0.\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -8035?\nAnswer: 8034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1343 + 2174. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -131. Suppose l = -x*l + 264. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let h be r(4). Let l(w) = 3 + 1146*w**3 - 1135*w**3 - 4. Let b(i) = 5*i**3 - 1. What is h*l(m) + 9*b(m)?\nAnswer: m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p + 0*p + 0*p)*(p - 2*p + 3*p) + p**2 + p**2 - p**2 - 5*p**2 - 2*p**2 + 4*p**2)*(65 - 159 - 132).\nAnswer: 1356*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13095 - 24779\/2. Are 3\/2 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) + (-2)\/11. Let l(z) = 35*z + 55. Let p be l(-1). Suppose 4 + 2 = v. Solve v*w - w + p = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*w + 334*w = -233100. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/120 + b**5\/15 - b**4\/12 + b**3\/6 - b**2. Let m be ((-6)\/(-18))\/(2\/18). What are the prime factors of w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 10*w = 0. Let h = w - -216. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j - 31*j - 3*j.\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:37 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(13)*-2 + (-2*sqrt(637) - sqrt(13))**2 + 5 - (5 + -5 + sqrt(1053) + (-2*sqrt(1053))**2).\nAnswer: -1282 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 1\/3*j**3 + 13*j - j**2 - 6. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 11. Let h(p) = -5*p - 34. Determine 3*h(w) - 8*x(w).\nAnswer: w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 1. Let g = 6 - 3. Let p(u) = 0*u - g*u + 3 + 0*u. Let f(d) = 12*a(d) + 5*p(d). Determine f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 plus -168549?\nAnswer: -168531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/60 + 5*k**4\/24 + k**3 + k**2. Let i be j(6). Suppose 5*o + i*o - 25 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4330789, -4330784, -4330779?\n\"Answer: 5*f - 4330794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 13) to base 3\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15113 and 25048718.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 5*t**3\/3 + t**2\/2 - t + 4. Determine x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117749?\nAnswer: 73, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) + (sqrt(128) - sqrt(2)) + sqrt(2) + 1)*-6)**2 + (sqrt(484) - sqrt(484)*-1)\/((sqrt(88)\/sqrt(4))\/sqrt(11)).\nAnswer: 2614*sqrt(2) + 23472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:19 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 17*c = 11*c - 120 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 5*v**3 + 3*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 1, c: 1, h: 3, u: 5, x: 3}. Give prob of sequence hx.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.7. Let m = n - -0.3. Which is the biggest value? (a) 1\/5 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 5*b + 3. Let t be g(5). Solve -t*k = -5*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25027.42 to the nearest one hundred.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92452969 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/156 - (-1536089)\/1118 is divided by 90.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*a + 10 = -130*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19028207, -38056410, -57084613?\nAnswer: -76112816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 - d**4\/6 - d**2\/2 + d. Let i = 6 + 0. Suppose i*x = x - 10. Determine a(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 minus 138277004343?\nAnswer: -138277003513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1531?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -4132?\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.27 - 20.36. Let u = r + 8. Let s = u + -0.014. Round s to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 3 - 4 + 11*p - 4*p. Let h be b(1). Solve 3*x - 4*c = -32, -5*x + h*c + c = 45 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 80*k + 35. What are the prime factors of i(20)?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + t = -23, -2*t + 22 = 5*f - 79. Suppose 3*j = 3*i - 4*i + f, -2*i - 4*j + 50 = 0. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 9*j + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfwi when four letters picked without replacement from {i: 5, g: 11, f: 1, w: 3}.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(18\/60)\/(-3)*(-5)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f**4 + 20 - 20 + (-2 + 2 + 1)*(-5*f**4 - 3*f**4 - 4*f**4) + 5*f - 5*f + 6*f**4 - 3*f + 3*f + f**4 + (f**2 - 1 + 1)*(0*f + 0*f - 2*f**2).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 4. Let k be o(3). Let s = 88 - 88. Solve g + 3*d = -8, 3*g + s*g = -k*d - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -11. Let v(z) = z + 115. Calculate the remainder when v(-18) is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) + (-82)\/156. Let d = i - 43\/1365. Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to -1650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 33 = -7*b, 382*j = 385*j + b + b + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -39. Calculate the remainder when 47 is divided by (4\/10*-2)\/(l\/25).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 36949 - 37005 = 28*g - 30*g, 5*g = -21*z + 316 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-37864)\/(-9 + 5). Let v = n + -19465. What is v rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60632, 61168, 61704, 62240?\n\"Answer: 536*i + 60096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Solve 0 = -0*w + 3*w - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-1062)*1\/9*-6. Which is the third smallest value? (a) -0.3 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1214791921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -z + 4*z. Suppose 5*r = -0*r - 5*c + 2125, -z*c + 841 = 2*r. Calculate the remainder when r\/20 - (-6)\/10 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 + a**2 + 2*a - 2. Let d be (-3)\/((-25)\/10 + 2). Let n = d - 10. Is z(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 766*b**4 - 4*b**2 - 71*b - 1069.\nAnswer: 9192*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-15) - (-48)\/(-5). Let m = -46\/5 - c. Sort -2\/3, m, 2\/7 in increasing order.\nAnswer: -2\/3, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*w - 37, 16 = -4*w + 8*w - m. What is the second smallest value in -0.5, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899285 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12494.\nAnswer: 2, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 166250000*l - 400. Let v(k) = -1250000*k + 3. Let d(j) = 3*h(j) + 400*v(j). Let i be d(6). What is i rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 15*g**2 - 18*g - 22. Determine n(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07194 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 1 + 1)*(5*n - 4*n + n) + 177*n**5 - 3*n**4 + 39*n**3 - 175*n**5 + 1 - 13*n**3.\nAnswer: 4*n**5 - 3*n**4 + 26*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/285 and -52\/35?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 135.9 times 1377\nAnswer: 187134.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 1:34 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5 + 5)*(-2584*q + q**4 - 48*q**4 + 2569*q).\nAnswer: -141*q**5 - 45*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11925 - -0.31925. Sort 8, a, -0.3, 1\/141 in ascending order.\nAnswer: -0.3, 1\/141, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70.381 - 54.6536. Let j = 14.3 - 139.3. Let i = j - o. Round i to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 take away -117936?\nAnswer: 118044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/2 - 3*w**2 + 7*w. What is the derivative of y(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 18. Let q be -3*-4*1\/o. Let k be 216\/30*(-50)\/q. What is k rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -786918 + 3.\nAnswer: -786915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(99))**2*5 - (-3 + sqrt(99) + (sqrt(99) - 3*sqrt(99)))*3)*3.\nAnswer: 27*sqrt(11) + 26757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.54739m to micrometers.\nAnswer: 3547390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1905133 or 1905201?\nAnswer: 1905201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 30*j + 2. Let d = 55 + -30. Suppose 5*s - 35 = 5*o + d, 34 = 3*s - 4*o. Is i(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 996 = -11*i. Suppose 2*p - i = j, 406 = 3*p + j + 30. Suppose -p = -7*q - 69. Solve q = -3*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12122 (base 3) to base 5\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*k + 8. Let u = 9 - 1. Let d = u + k. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(50) + -1)**2.\nAnswer: -40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.08 - -0.08. Let n = a - -2. Suppose 4*u = -4*c + 3 + 1, 5*u - 26 = 2*c. What is the second biggest value in n, c, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 - 46*q + 201. Calculate w(4).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 5) in base 3?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * -2.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9112825 less than or equal to 9112826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36231303 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let r(d) = 59118217*d**2. Determine r(t(h)).\nAnswer: 59118217*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*o - 69 = 0, -o + 4 = -3*o. Calculate the highest common divisor of 30 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 255*s - 2786. Let k be d(11). Solve -21*i + k*i - 2*o - 14 = 0, 0 = o + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 164*l**3 + 3*l**2 - 2*l. Let g be t(1). Calculate the highest common divisor of g and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17958 (b) 3\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1616169346 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181469, -725862, -1633177, -2903408, -4536549, -6532594, -8891537?\nAnswer: -11613372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 1448*g.\nAnswer: 4*g*(g - 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.182382 rounded to one dp?\nAnswer: 28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -23*y**6\/60 + 7*y**4\/8 - y**3\/2 - 4*y**2 + 4. Find the second derivative of m(c) wrt c.\nAnswer: -276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1078 and 12782?\nAnswer: 89474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747, 1401, 2053, 2703?\nAnswer: 3351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(128034824 - 128034824 - 2*k**2 - 634*k).\nAnswer: -4*k**2 - 1268*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35163005299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*(-16)\/3. Let l be (18\/z)\/(4 + 35\/(-8)). Calculate the highest common divisor of 48 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111355 - 1?\nAnswer: -1.111355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -191, 664, 1523, 2386?\n\"Answer: 2*o**2 + 849*o - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/3 + 1400*u\/3 - 60014 = 0.\nAnswer: -811, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 200*o. Let f be (-20)\/(-10) - (2 + -41837). Let v(n) = 5*n - f + 41837 - n - 3*n. Calculate h(v(i)).\nAnswer: 200*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/462*(-12 - -30).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183172509 to the power of 1\/3, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdt when three letters picked without replacement from {t: 12, d: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 = 2*v + l, 3*v - 31 = -5*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3171113*j**3 - 4*j**2 + 970915161*j?\nAnswer: 19026678*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (-69 - (25 - 51))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -472\/36793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v - 23*v - 13 + 51*v - 61 - 42 - 7.\nAnswer: 2*v - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*p**2 - 6283*d**2*p + 8*d**2 + 94*d*p**2 - 79*d + 3*p**2 wrt d?\nAnswer: -2*p**2 - 12566*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = g + 44, -5*o = 2*g + g - 99. Suppose 3*l + 4*c + 5 = 0, 3*c + 23 = -0*l - 5*l. Let p = o + l. 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: Calculate -1932096 divided by -161008.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {q: 2, e: 2, y: 3, b: 2, p: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u + 36. What is the hundreds digit of ((-1388)\/u + 3)*3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 25*k**3 - 2*k**2 - 2*k + 6. Let g be o(1). Solve -2*m - g*m = -145 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -6, 0.04, -1, -18\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.18 + -0.18. What is the nearest to b in 1\/10, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.6. Which is the nearest to g? (a) 4\/3 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 3*z**2 + 3. Let l be u(3). Let d(s) = 2*s**2 - 12*s - 28. Let n be d(-2). Solve -5*i = m - 14, l*i - m + 6 = n*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1427793 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 911 - 929. Let k be j - -15 - (-105)\/33. Which is the fourth smallest value? (a) -5 (b) 5 (c) 1\/39 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, 469, -1, 299 in ascending order.\nAnswer: -20, -1, 5, 299, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**6\/6 + 7*j**3\/6 + 4*j. Find the second derivative of f(q) wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -74*o + 310. Let p be v(4). Let r(k) = -k**2 - 6*k - 6. Let a be r(-4). What is the highest common divisor of a and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 47*j**4\/12 + 68*j**3\/3 - 157*j**2. What are the prime factors of k(11)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07024766 - 5.\nAnswer: -4.92975234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6221 + 21849 = 1097*d - 11797 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shmhhsshhbbhhmshhbms. What is prob of sequence ssmb?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 4, k: 2, t: 1, y: 3}. Give prob of sequence uk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06067 + 2.012.\nAnswer: 2.07267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3 - 36*l**2 + 32*l = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y. Let l(i) = -17*i**2 - 8*i + 8. Let j(x) = 6*x**2 + 3*x - 3. Let a(b) = -8*j(b) - 3*l(b). What is f(a(s))?\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18874 is divided by 1109.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*o - 2 = 2*o, -2*h = -2*o - 28. Suppose 10 = -5*j, -3*j - 17 = 3*q + 37. Let x be 8*((-92)\/q + -2). Calculate the highest common factor of h and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*c**3 - 110*c**2 + 1092*c + 371463527?\nAnswer: 93*c**2 - 220*c + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/9)\/(1\/(-7)). What is the tens digit of 457*(r - 12\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2291, -69, 2.1 in descending order.\nAnswer: 2.1, -69, -2291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7504346 + -2599846. Round m to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5185 and 37655?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 185 and -2.1107.\nAnswer: -390.4795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 3*w**3 + 20 - 2*w + 2*w**3 as h*w**2 + c*w + o*w**3 + i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*(-70)\/15. Let d = q - -12. Sort -1, d, -5 in increasing order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 294 = -3*s, s - 5*x - 266 + 162 = 0. What is the remainder when 295 is divided by s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966838?\nAnswer: 2, 229, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566 = -140*g + 32*g + 1862 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 119, 2, -83 in decreasing order.\nAnswer: 119, 5, 2, 0, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 26 - 32)*(-4*x + 6 - 6).\nAnswer: 584*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -620?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 98\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -n + 3, 0 = -2*n - k - k + 6. Suppose b - n - 1 = 0. Let z = 10 + -7. Solve 5*r - 4*y = -10, 2*y - b = z*r - 0*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -145*i**2 - i + 2594. Give s(0).\nAnswer: 2594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/324 and 17\/1701?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uekebeuktuu. What is prob of sequence ek?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -976.9944466 - -831.994303. Let k = g + 145. What is k rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 273, 105, 1, 4.\nAnswer: 1, 2, 4, 105, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -25*-26.15851\nAnswer: 653.96275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125899823 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 561 in -13, -2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 (base 16) in base 14?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (20\/4 - 5)*1. What is the second derivative of 62 - 62 - 4*v**l + 0*v**2 - 99*v - v**2 wrt v?\nAnswer: -24*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*q + 15 + 2*q**4 - 19*q**2 - q**3 - 108*q - 15 as t*q + p + a*q**2 + m*q**3 + f*q**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/32 + 21\/544. Let z = -1106 + 1106.07. Which is the nearest to -0.1? (a) q (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = -0. Suppose -l + 4*d + 14 = c*d, 0 = -3*l - 5*d + 46. Let j be 3\/4 - (-111)\/l. Solve 0 = -2*p + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-336))\/(24\/360).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/4)*o)\/(o*o*o**8*o))\/(o**(-5)*o\/(o\/(((o*o\/(o\/o**(-3\/4)))\/o)\/o))) assuming o is positive.\nAnswer: o**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 3987548382414.1?\nAnswer: 3987548382416.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 2*b**2 + 2*b - 12. What is c(-6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5455cd (base 14) to base 11.\nAnswer: 1682008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/2)\/(p\/p**(-2))*(p\/(p**(-1\/4)\/p))\/p**(2\/3) assuming p is positive.\nAnswer: p**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -1827132760239.\nAnswer: -1827132760234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 2, g: 4, y: 1}. What is prob of picking 2 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34, -1\/5, -1.1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 829*n**8\/168 - 3317*n**4\/24 + 3043*n**2. What is the second derivative of w(p) wrt p?\nAnswer: 33160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 6 - 1 + 9. Let d(b) = b. Determine -4*d(g) + o(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532d (base 16) to base 2.\nAnswer: 10101001100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(54)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 16) in base 14?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 4*sqrt(637) + -3)**2.\nAnswer: 224*sqrt(13) + 10208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/((-12)\/10)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 5*a**3\/12 + 195*a**2\/8 - 205*a\/2 - 10267. Factor f(v).\nAnswer: 5*(v - 2)*(v + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.084, -0.4, -11 in decreasing order.\nAnswer: -0.084, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 - -22?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.034 + 429.034. Let f = d - 428.9999257. What is f rounded to 6 decimal places?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 3*s)*(0*s + 3*s - 2*s + s + 0*s + 3*s + (5*s - 3*s - 3*s)*(2 + 0 + 0) + s + 2*s - 4*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83\/83)\/((-2)\/5).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3610? (a) -5 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-18)*3*(-3)\/63?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*r = -404*r + 30032749. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1220 - -1244. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 + 76544*i**2 + 5518944*i + 99387648 = 0. What is i?\nAnswer: -36, 38344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*p**2 - 11\/4*p - 3\/2 = 0. What is p?\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (3 + -51 - -32).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 3, s: 3, g: 7, b: 3, k: 1}. Give prob of sequence syg.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83649 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 365?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u + 320*u = 51*u - 4243 - 5773 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3024 and 912?\nAnswer: 57456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4908 - -4909. What is the third biggest value in -4, -0.9, 4, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(22\/44*0\/3)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.512507 + -0.5104. What is q rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*p - 1. Suppose 4 = p*f - 3*s - 3, 0 = 5*f + 3*s - 2. Let d be 2\/(-7) - (-37)\/7. Put -3, d, f in descending order.\nAnswer: d, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 134602120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23722137 is divided by 2313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -64348 and -64349 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 327075440.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, -4776, 1\/5, 1\/2, 4, 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 85*v**2 - 1270*v - 2160.\nAnswer: 5*(v - 27)*(v + 2)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -4. Let q(n) = 2*n + 8 + 0 - k. Let p(t) = -4*t**2. Give q(p(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - -1. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2\/9, 83, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(36\/48). Let r(y) = 12*y**3 + y**2 + 3. Let m be r(o). Let z = m - -135. Calculate the greatest common factor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1862789 and 0.2167.\nAnswer: -1862788.7833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 6*a**2 + 12*a**2 in the form s*a**2 + c + k*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*z + 4*h + 2700 = 435*z, -2*h + 2050 = 3*z. Calculate the lowest common multiple of 340 and z.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/(1\/(-22)). Let l(t) = -t**3 + 10*t**2 + 22*t - 12. What is the tens digit of l(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1008480 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/48972 and 115\/38292.\nAnswer: 156269652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001100000100010111 (base 2) to base 11.\nAnswer: 1077897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3333 - -1108. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 55 = 8*r. Let i = 23 - r. Solve i*x = -x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 5*a**3\/9 - 5*a\/3 - 5. Factor u(q).\nAnswer: 5*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 6.08?\nAnswer: -358.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -5, -22 in decreasing order.\nAnswer: 55, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222011222 + -102200?\nAnswer: 221202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(-3 + 1*sqrt(5) + -3))**2.\nAnswer: -12*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -3*n**2\/2 - 21*n + 1228. Determine b(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*u**4 + u**3 - 128*u + 1?\nAnswer: -324*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/19 + 396736*y**3\/19 + 19644744814*y**2\/19 - 2995235217520*y\/19 - 3014879565600\/19 = 0?\nAnswer: -99260, -1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15336*v - 269. Is d(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 8*x**2 + 6*x - 6. Let r be n(-7). Is ((-6)\/(-15))\/r + 7666\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-1 - (1 + 5) - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12*(3 - 4))\/1. Let b = s - -15. Suppose b*k + 4*l = -l + 35, k - l - 17 = 0. Which is bigger: k or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**3\/3 - 25475*t**2 + 97333605*t + 292077245\/3 = 0.\nAnswer: -1, 7643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -3217?\nAnswer: -3217.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 13*x + 13*x + 7*x + 5*x - 3.\nAnswer: 38*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-4)\/(-16)) - 14. Which is the biggest value? (a) 0.2 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.3 + -7. Let l = -0.5 + n. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 47*h + 44*h = 12, 2*h - 6 = -5*m. Solve -11*l + 8*l + m*a + 23 = 0, 3*a + 32 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-3)*(f\/f**4)\/f*f\/(f**(2\/7)\/f)*f**(-2\/7) assuming f is positive.\nAnswer: f**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24*c**3 + 2*c**2 - 3*c. What is the hundreds digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -39287?\nAnswer: -196435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36375116?\nAnswer: 2, 317, 28687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.19 + -0.01. Let g = 1 + h. Let m = -2.4 - 0.6. Which is the nearest to -2? (a) m (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from {w: 4, g: 4, p: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 407139.2 kilograms?\nAnswer: 407139200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4901 and 41673.\nAnswer: 7042737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n + 35 - 90. Solve n*w - 4 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6))\/(w**(-1\/3)\/w) assuming w is positive.\nAnswer: w**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 - 184 = 2*f + 15*y, -4*f - 5*y + 37 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t + 4111*x + 41 = 4107*x, 0 = -4*t - 3*x - 9 - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 36 = 4*v, -2*n - 18 = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**5 - 1528*g**4 + 23700*g**3 - 47960*g**2 - 126656*g + 152448 = 0. Calculate g.\nAnswer: -397, -2, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817 + m**3 - 779 - 4*m**3 - 139*m.\nAnswer: -3*m**3 - 139*m + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/175*-1*56\/16\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1048 and 1179.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 11881, -1\/4, 21\/8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14289165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r**(3\/2))**29 assuming r is positive.\nAnswer: r**(-261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -32 - (15 - -3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11733*d + 12270*d + 1175*d.\nAnswer: 25178*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12211 (base 6) to base 4.\nAnswer: 130033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*s = 87*s - 4*x + 280, -59*s + x + 5666 = 0 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 11*j - 10. Let g(n) = -2*n**2 - 21*n - 20. Let b(m) = -3*g(m) + 5*z(m). Determine b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*f + 19, -f - 5 = -5*i - 0*i. Solve -f*c = 6 - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/108284 and -71\/7000796.\nAnswer: 161018308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 120 = -10*n. Let w(m) = 4*m**2 + 51*m - 2. What is the hundreds digit of w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 51. Let b = n - 39. Let i be 30\/24*4*b\/(-10). Solve 3*w = w - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 10*g**2 - 13*g + 1. What is j(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 8*z - 2. Let q be c(-7). Solve -3*k**4 + 2*k**q + 210 - 210 - 2*k**2 - 2*k**3 + 5*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99\/7*z**2 - 9*z**3 + 9\/7 + 12\/7*z**4 - 57\/7*z = 0. What is z?\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3303666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776899223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3177929120.\nAnswer: 2, 5, 2141, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 71 = -2*o, -361*b - 2*o + 17 = -366*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.12. What is the closest to -0.3 in x, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (-1 + (1 + sqrt(99))**2) - 2*(-1 + sqrt(99))**2) + ((sqrt(99) + 1)*4 - (((sqrt(99) - 2*sqrt(99)) + sqrt(99))*-3)**2).\nAnswer: -295 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17588 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.77 + -1.17. Let p = l + -0.6. Let q = -7 + p. Sort -0.2, q, 5 in descending order.\nAnswer: 5, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3019.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 5*c - c. Let g(r) be the second derivative of -5*r**4\/12 + 10*r. Give g(x(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1388.1 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 44641?\nAnswer: -44646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*l = -3*b + 7, 9 = 5*b - 3*l. Solve b*j - 6 = -9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30019, -120043, -270105, -480217, -750391, -1080639, -1470973?\nAnswer: -1921405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {d: 5, b: 1, n: 3, v: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1635)\/(-4) + (0 - (-9)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 249\/4. Let q = -0.8 - -0.4. Let n = 0.9 - -0.1. Sort n, q, x in ascending order.\nAnswer: x, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -0.13\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f = -12. Suppose 0 = -6*z + 2*z + 2*l + 6, 0 = f*z - l - 3. Suppose z = -8*v + 5*v + 114. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-17)*s*s*s**(-8\/3))\/(((s\/(s\/(s*s*s**(2\/23))))\/s)\/s*s**(-20)\/s) assuming s is positive.\nAnswer: s**(224\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534861 (base 12) to base 7.\nAnswer: -14113243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/3, -3, -2, -212?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314114 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130825?\nAnswer: 5, 45233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 6*s - 8*s + 2*s + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34710, 138761, 312180, 554967, 867122, 1248645, 1699536?\nAnswer: 2219795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946822471.\nAnswer: 7, 41, 3299033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 1 + 7. Find the second derivative of -x - 3*x + 5*x**g + 0*x + 0*x wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/((-7)\/35). Solve -m*n = -7*n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.472, 1\/4, 69\/5, -1\/19 in descending order.\nAnswer: 69\/5, 0.472, 1\/4, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 32\/5, 37\/2?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -0.4, 1128, 37 in descending order.\nAnswer: 1128, 37, 5, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*w + 5, 0*w - 3*w + 5*v = -29. Let y = -10 + 19. Calculate the remainder when y is divided by ((-1)\/(-1) - -2) + w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 1\/2*r**2 - 3 + 3*r - 2\/3*r**3. Let j(p) = 5*p**2 - 2*p - 7. Determine 7*b(a) + 3*j(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (27 - (-8 - -19))) + (0 - -22).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.97269 + 0.\nAnswer: 3.97269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24.34 and -10922834.\nAnswer: -10922858.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -43. Suppose -z + 0*s = -4*s - w, 0 = -s - 3. Suppose 11 - z = 2*g. Solve 5*j = -3*x + 2, 6*j - 2*j - x = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2532 (base 8) to base 16\nAnswer: -55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23956 is divided by 604.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-1*sqrt(576)) + sqrt(405) + 4 + sqrt(405) + -3)**2.\nAnswer: 215*sqrt(5)\/6 + 231269\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 21 + 7 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*a. Suppose -w = -6*w + 4*k, a = -4*k. Solve 12 + w = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 6. Let z be j(-3). Suppose 16 = -z*w - w. Let o(b) = -6*b**3 - 5*b**2 + 4*b + 5. Is o(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444824871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 - 27 - 227)*(3 - 5 + 0)*(17*d - 32 + 32).\nAnswer: 4522*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793014231 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2085, 4174, 6265, 8358, 10453?\nAnswer: 12550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1.0125 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 12.4, -4, -5, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-35)\/5 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -6)*(-4)\/8. Let j be (-2)\/(r\/12*2). Suppose 21 = j*g - 27. Calculate the remainder when 34 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5094*h + 473. Is v(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 97885768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6830988 is divided by 488.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 12015839?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0*r - r**3 - 1 + 8*r + 12*r + 19*r**2 + 3. Let z be h(20). Solve -t = -w, -t - 9 = 4*w - z*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t + 7. Let c(i) = -2*i - 4. Let k(a) = -5*c(a) - 3*w(a). What is k(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 9*y - 15. Let p be t(8). Let k be 54\/(-7) + 2\/p. Let w = k + 20. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 32*h**2 + 92*h + 9. Let d = 226 - 196. Is q(d) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10894888?\nAnswer: 2, 31, 197, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*g + 4675 = 0, -3*g - 123 = 5*p - 4803. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6112 - 313*k**3 - 6112.\nAnswer: -313*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 447961 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4 - 32019*m**3 - 160117*m**2 - 96081*m + 288216 = 0.\nAnswer: -3, 1, 32024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1861 - -11119\/6. Find the common denominator of x and -65\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*w - 4, 7 - 3 = 2*c. Let z(a) = 2*a**2 + a. Let h be z(2). Suppose y + 4*g - 10 = 0, 5 = w*y + 3*g - h. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -442 - -280a4?\nAnswer: 27762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.8015 tonnes in nanograms?\nAnswer: 787801500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150121 (base 11) in base 12?\nAnswer: b3794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69947249 - 0.1.\nAnswer: 69947248.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24804 is divided by 138.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 - 2. Let n(l) be the first derivative of -2*l**3\/3 - 54. Determine d(n(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10090, -40190, -90348, -160564, -250838?\n\"Answer: -10029*w**2 - 13*w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20837, 41718, 62665, 83708, 104877, 126202, 147713, 169440?\n\"Answer: 5*z**3 + 3*z**2 + 20837*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**43*(c*c*c**0*c)\/(c*c**(-7)))**(-11\/2) assuming c is positive.\nAnswer: c**(-1045\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12516 and -3?\nAnswer: 12519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 10*n - 2. Suppose -c - 3*i - 2*i - 13 = 0, 0 = 3*i + 3. Let r be q(c). Let d be (-2)\/r + (-234)\/(-2520). Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 76\/5 of a kilogram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-1564)\/46)*1\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + 11?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/(-10)) + 3. Let y = 12 + u. Find the common denominator of (y\/((-15)\/78))\/(-4) and -50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*s - 2*s + 1 - 1 + (2*s + 0 + 0)*(0 + 1 - 2) + s - 3 + 3 - 2*s + 0*s - 2*s + (-4*s + 2*s + 3*s)*(-2 + 2 + 2) + 6*s - 12*s + s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6) + -1)*(489 + -486). Put u, -16, -3, 5 in ascending order.\nAnswer: -16, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4221 = -28*u + 4025 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 3*v**2 + 38192*v + 10*v**3 + 20*v**3 - 38192*v.\nAnswer: 25*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + -4 + sqrt(1331) + -2 + sqrt(1331) + sqrt(1331) + (sqrt(1331) - (0 + sqrt(1331) + -2)) + -2 - (2 + (5*(-1 + sqrt(1331) + 3))**2).\nAnswer: -33383 - 1056*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428094 is divided by 1326?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -3.2. What is the closest to 1\/3 in w, 9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -56 (b) -10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 21*s - 5*s - 33 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/32 in -35, 2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 31. Let l(n) = n**3 + 16*n**2 + 26*n + 17. Let q be l(-10). Let y = q + j. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/5, -0.01, -85, 3\/88, -0.9 in increasing order.\nAnswer: -85, -29\/5, -0.9, -0.01, 3\/88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322333428?\nAnswer: 2, 3, 26861119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 422*n**2 + 1647*n - 10433. Give u(-418).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -57, -96, -141?\n\"Answer: -3*x**2 - 24*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 139039320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357122563.\nAnswer: 7, 51017509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*x - 788*x + 67*x - 2124*x = 201612 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 154*u + 55. Let g(v) = -11*v - 4. Let j(r) = -55*g(r) - 4*t(r). Let i = -27 + 32. Let d(y) = -12*y - 13*y + i*y + 4*y. Determine 5*d(b) - 7*j(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 39.6, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5158 + -5174. Which is greater: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 5*v = -16*a - 5, 5*a = -5*v - 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(117) + sqrt(13) + (sqrt(208) - (sqrt(208) + sqrt(208)*1))**2)*6 + ((sqrt(104) - -2*sqrt(104))*6 + sqrt(104))\/((1*sqrt(16))\/sqrt(2)).\nAnswer: 79*sqrt(13) + 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - 2*s + 4*s)*(1 + 2 - 6) - s + 4 - 4 + (-2*s + s + 2*s)*(1 - 1 - 1) + 4 - 2*s - 4 as v + x*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 23\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -662724493.197.\nAnswer: -662724479.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 119*r**2 + 60*r - 32. What is v(-60)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77026 + -77012. Let l(z) = 8*z**2 + z - 2. Let r be l(-2). What is the highest common divisor of r and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u = 2*u - 208 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.4 + -7.3999499. What is l rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 - 168*q**4 + 165*q**3.\nAnswer: 3*q**3*(q - 55)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 0.5, 5, -0.2, -0.02, -5\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 18392042.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w**3 - 4*w - 2. Let b be q(-3). Suppose 439 = h - 2*g - 2*g, h + 4*g = b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10153 (base 6) to base 12\nAnswer: -959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*p + 11 = 0, 2*v + p = -3*v + 13 + 6 - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 25 = -4. Suppose -24 - 46 = -p*x. Solve -3*o + 8 = 2*t, 0 + x = 5*t + 5*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 10*p - 10*p - p = -41, 40*r - 345 = -568*p + 571*p for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6193 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11816379, 11816381, 11816383, 11816385?\nAnswer: 11816387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -44*n + 47*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 20*f - 17. Let b be n(-19). Solve -7 + 1 = b*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3350 is divided by 1670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20124 - -5?\nAnswer: 20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -8*i. Let l be 0\/((-13)\/(-13) + i + -2). Solve p = -2*u - 8, p + l*p = 2*u + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130111 (base 4) in base 16?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2885872\/(-30096) + 88\/18.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116797067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -17. Let s be ((u\/78)\/(-3))\/((-30)\/40). Let w = 2 - 1. Which is the second smallest value? (a) s (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsr when three letters picked without replacement from {d: 5, i: 1, s: 3, r: 6, v: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -31 - -29 - (-120)\/54. Which is the closest to u? (a) 5\/4 (b) -4.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*p*q*s - 3*p*q*u + 15*p*s*u + 3*q**2*s*u + 128*q**2*u + 2*q*u wrt s?\nAnswer: -10*p*q + 15*p*u + 3*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 7*g**2 + g - 13. Give s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = -29*y - 7030. Round y to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 5:59 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.9. Let o = r - -1. Let g = -0.5 + o. What is the second biggest value in 1, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 943, 767, 259, -749, -2425, -4937, -8453, -13141?\n\"Answer: -28*y**3 + 2*y**2 + 14*y + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2113682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10011893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*b = 45 + 31, 4*b = -4*d + 128. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (5 - -12 - (-4 + 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/24247? (a) 2.8 (b) -1\/3 (c) 11 (d) 2\/11 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -5*r - 39. Let a(d) = 0*d + 107*d**3 - d + d**2 + r*d**3. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -489937.925 to the nearest one thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -67650*g**5 - 372560*g**4\/3 - 623746*g**3\/9 - 13164*g**2 - 1192*g\/3 - 16\/9 = 0?\nAnswer: -1, -2\/5, -1\/33, -2\/369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.18, -4, 0.2 in decreasing order.\nAnswer: 0.2, -0.18, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**2 + 0*p**3 + 0 + 0*p**4 + 0*p - 1\/30*p**5. Let h(a) = 3*a**2. Give y(h(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 13 + 13 - 4*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*f = -204, -5*w - 5*f + 255 = -0*f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.879 - 1.129. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*c + 6 - 2 = 0, -13 = -2*l + 3*c. Suppose 0*t + t - 1728004 = 4*d, 5*d = -l*t - 2159992. What is d rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*w = 184, -5*v + 0*v = 4*w - 892. Suppose -45*h = -41*h - v. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < -2501565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(704) + -1)*-3)**2 - 1*sqrt(704)*-2) + sqrt(704) + 2*sqrt(704) + 5 + -2).\nAnswer: -416*sqrt(11) + 25392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 - 2*w - 12. Give k(6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 63 - 70\/3*a**3 - a - 2*a**5 + 299\/8*a**4 - 37\/4*a**2 - 25\/3*a**6. Let j(h) = 0. Calculate h.\nAnswer: -2, -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 138?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172242412 by -1.\nAnswer: 172242412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 790111 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 8:11 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 19*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -12, -25, -44, -69, -100, -137?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Suppose 2*p - 2*p = -p. Let m(l) be the second derivative of -5*l + p + 1\/2*l**3 + 0*l**2. Determine d(m(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 26*n + 374. What is r(9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2127.25 * 4.\nAnswer: 8509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18868 divided by 178\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 1\/5*p**5 - 16*p + 1\/30*p**6 - 1\/3*p**3 + 0*p**4 - 3 - 8*p**2. What is the second derivative of c(m) wrt m?\nAnswer: 12*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -12. Suppose -17 = 5*r + 4*s + 250, -r = -3*s + t. Let l = r + 53. Which is smaller: -26\/11 or l?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2569*g. Let d(l) = -2*l + 358. Calculate d(t(r)).\nAnswer: -5138*r + 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 + 10*k**2 - 5*k + 20. Let t be r(8). Suppose l + f - t = 0, 3*l + 849 - 13455 = -f. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 13. Suppose 960 = y*h + 4*h. Suppose -4*b + h = b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*t**2 - 7516*t - 25042?\nAnswer: 6*t - 7516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l. Suppose 9*h - 11*h + 1816 = l. Suppose 3*i + h = g, -g = -3*g - i + 1837. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**7\/42 + 5*i**6\/24 + 7*i**5\/12 + 5*i**4\/8 - 45*i**2 + 3*i - 18. Let v(j) be the first derivative of s(j). Factor v(u).\nAnswer: 5*u*(u + 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:53 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658874.\nAnswer: 2, 3, 7, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 30 = 138. Calculate the greatest common divisor of p and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/7*f**3 + 1\/7*f**2 - 2\/7*f = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -86, -103, -116, -119, -106, -71?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 23*f**2 - 20*f + 73. Let o be (24\/26)\/6 - (-288)\/(-13). Let d be a(o). Solve 0 = 6*j - 11 + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 23, 32, 29, 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, 1, 32\/15, -8\/5, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164 + 1?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 932?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 6)*(-2*i**4 + 12*i**4 + 5*i**4) + 2*i**4 + 3*i**4 - 3*i**4.\nAnswer: 122*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 28*k + 47. Let i(c) = -29*c - 47. Let o(s) = -3*i(s) - 2*t(s). Let l(n) = -32*n - 48. Let q(d) = 3*l(d) + 2*o(d). Is 33 a factor of q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-5) - (-1 + 1). Suppose -z*b - 16 = -6*b. Let f = -31 + 49. Solve 5*k = g + k - 15, 2*g - f = b*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 88*t - 2. Let q(n) = -88*n + 1. Determine 4*q(a) + 3*y(a).\nAnswer: -88*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.38*10.29\nAnswer: 3.9102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z - 6. Suppose 10 - 18 = -2*a + 3*n, 0 = 2*a - 5*n - 8. What is s(a)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 divided by 70?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57440 divided by -718.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 479569.3 litres in millilitres?\nAnswer: 479569300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153542.\nAnswer: 2, 76771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2*c - 11. Let k be r(5). Suppose -q + 2*a = 3*a - 2, 0 = k*q + 3*a - 8. Find the third derivative of 10*n**2 + 9*n**q - 7*n**5 - 7*n**2 wrt n.\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 14*l - 28 = 0. Which is smaller: 25 or l?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 5*w + 26145 - 26123, 22 = 8*v - w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 379*j - 380*j. Suppose 8 = -z + 2*z. What is the remainder when z is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -5 - -25) + -30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -132954?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*d + 6 = d, -2*k = 2*d - 2. Let n = 2 - 20. Let l = n - -20. Solve l*w - 3*y + 6 = 0, -2*y = -2*w + k*w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -77 + 1 + 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14)*(1 + 6). Suppose -z + 12 = 2*l. Suppose 0 = -l*u + 3*u + 8. Solve i - 3 = u*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*v - 3*d, 0*v + 2*d = 4*v + 26. Sort v, 3, -2.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Let l(u) = 1 + 0 + u - 2*u. Let q be (-22)\/(-77)*7\/1. Let m(d) = 16*d - 14. Let r(s) = q*m(s) + 28*l(s). What is r(w(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 327 and 9?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (25*68)\/(8*(-2)\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7636205?\nAnswer: 5, 263, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/130)\/(297\/(-495))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -17. Let i(o) = o**2 - 4*o + 5. Calculate the remainder when d is divided by i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**3\/6 + d**2 - 2*d. Let a be w(-10). Let i = -8 - a. Is i greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-9 - (-6 + (-1 - -3) - 5)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -190, -181, -158, -115, -46, 55, 194, 377?\n\"Answer: j**3 + j**2 - j - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**5 - 6*q**5 + 3*q**5)*((-2 + 7 - 4)*(2 - 2 - 1) - 4 - 1 - 6).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179 + -184. Let p be 6 - (g + 225\/20). Which is the smallest value? (a) 1 (b) -3\/8 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 28756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {u: 2, s: 1, p: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6068 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) -2\/3 (d) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*o - 39 - 39 + 118 - 40.\nAnswer: -175*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2872*f + 37367 + 203881 for f.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:58 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -0*w. Suppose -8 = -w*f, 1 = 4*q - 5*f - 1. Let b = 11 - 8. Solve -b*n - 1 = -5*l + q, -n + 4*l + 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283417, 283418, 283419, 283420, 283421, 283422?\nAnswer: 283423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 19*l - 4. Is 97 + (-4)\/(0 - (l - 0)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-35 - (-13 + 6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:53 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*f = 42, 3*n + 3*f = -n - 27. Let x(k) = k**3 + 7*k**2 - 17*k + 2. Let v be x(n). Let q(r) = -r**2 - 8*r + 3. Let b be q(v). Are b and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -53*d - 590. Is i(-17) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:04 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6777 and 3263?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose j + o*j = 80. Solve -4*c - c - j = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23997 - 12335. What are the prime factors of x?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 2*b + 2. Calculate the remainder when l(-3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.48 + -47.48. What is the smallest value in r, 0.4, 13\/31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0 (c) -87.8532 (d) -3\/17 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 410519 and 2.\nAnswer: 821038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - (-32)\/(-6). Suppose 0 = -26*f + 9*f. Let p be (-7 - (-8 + f))\/(2\/(-14)). Which is bigger: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -452183 + 452183 + z**4 + 14*z**2 - z + 44*z**5 wrt z.\nAnswer: 2640*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 59, 144, 253, 380, 519?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/5)\/(y\/(y*y*(y*y**(-4\/11))\/y)*y))\/((y\/y**(-2))\/y)**(-11))\/(((((y\/(((y\/y**(1\/4))\/y)\/y))\/y)\/y)\/y)**(20\/9))**(-36) assuming y is positive.\nAnswer: y**(-2154\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159685*f**5 + 5963*f + 7 wrt f?\nAnswer: 3193700*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u - 15. Let l be m(5). Calculate the highest common factor of 225 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 5) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906*d + 900*d = 1790*d + 1712. Solve -d*u + 56*u = -44*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = 118*i + 1506 - 202 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -767*g + 106831 = -763*g + 5*y, 0 = 2*g - 2*y - 53384. List the prime factors of g.\nAnswer: 26699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 917.949 - -2.051. Let m = 4568.607559 + -5488.6076313. Let r = w + m. Round r to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 10:16 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7448468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -1907*r**3\/3 + 1125*r - 1722. Differentiate l(f) with respect to f.\nAnswer: -3814*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k**3 - 36*k**3 - 39*k**3 - 43*k**3 + 209*k**3 - 46*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdsb when four letters picked without replacement from {v: 1, d: 1, b: 1, s: 1, n: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s + s + 4*s - 8*s to the form n + i*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16552213.\nAnswer: 16552213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4629 is divided by 1915.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13c3cc (base 14) to base 2\nAnswer: 10100111101010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00181684536 rounded to six dps?\nAnswer: -0.001817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 1 t when three letters picked without replacement from yrfyytftyyyyryytftyf?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -32*h**2 - 57*h + 7. What is z(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5473244 = -5*a, 212151 + 882513 = a + 3*n. Is 1\/3 + (a\/27 - 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 42. Let y(w) = 5*w - 64. What is 8*q(j) + 5*y(j)?\nAnswer: -7*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-c**2 + 3*c**2 - c**2) - 19*c**2 + 3*c + 36*c**2 + 44*c**2.\nAnswer: 59*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 5:39 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.069, 0.5, 3, 0.4 in increasing order.\nAnswer: -0.069, 0.4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + sqrt(36))*-2*-1)\/((sqrt(768)*1)\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/323556 and 79\/98712?\nAnswer: 5824008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16083022 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 83.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 119007010 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3228, -16 in increasing order.\nAnswer: -16, -3, 3228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 26*b + 61 - 26*b + 54*b in the form p + z*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 433 + -1731\/4. Put 6, x, 3, -0.2 in decreasing order.\nAnswer: 6, 3, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*i - 4*i - 107, 5*i - 4*w - 508 = 0. Calculate the highest common divisor of i and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4\/24 - m**3\/3 + 4*m**2. Let l be 2*(-4168)\/(-40) + 2\/(-5). Let z = l - 203. Let i(w) = -w + 2. Give z*i(c) + 6*v(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-4*s - 3*s + 4*s) + (s - 1 + 1)*(2 - 4 + 4).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4478070387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 574843.9nm?\nAnswer: 574.8439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - y + 4 - 3 + y - 4*y + y + (1 + 4 - 2)*(4 + 2*y - 4).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1225 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*b + 4473 = 0, 5*c - b = 15923 + 6426. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 10*r - 5. Let g be k(-9). Suppose -3*y - 1 = -5*y + c, -g*c + 20 = 0. Find the second derivative of 3*j**4 - y*j**4 + j**5 + j wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1425 - 0.2425. Which is the third biggest value? (a) -0.85 (b) 1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174734 is divided by 131.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 4*u**3 - 2*u**3 + (3 - 3 - u)*(0*u + 0*u - 4*u**2) + 2*u**3 + u**3 - 2*u**3 + (-u**2 - u**2 + 4*u**2)*(5 - 5 - u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.1 - -18.1. Is i < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 15*p**2 - 17*p**2 + 5*p**2 + 2*p**2.\nAnswer: 5*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2 - 2204*s + 99170 = 0. Calculate s.\nAnswer: 47, 1055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*q = -56*q - 44 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3978 and 5504226?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 - -52. Let i = 16 + p. Let z = 43 + i. What is the remainder when 70 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1362*d**3*w - d**2 + 671*w wrt d.\nAnswer: 8172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8 + 8 = 0. Let x be c\/6*(-24)\/4. Solve x*m = -11 - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 782 and 20746.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, and 1 p when three letters picked without replacement from pvvnzwvwv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2*s - 6*s - 35, 4*a = -5*s - 45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lilllilclccllc. What is prob of sequence lll?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.33 and -3353?\nAnswer: 3368.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -79360.017376 + 9\nAnswer: -79351.017376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6 - 22. Let d = w - 9. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*t - 20874 = 29*t + 13*t. What is the least common multiple of 1420 and t?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1507 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2817, -0.006, -2, -3\/2 in decreasing order.\nAnswer: -0.006, -3\/2, -2, -2817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) + 28\/21. Let i(p) = p**2 - 3*p + 3. What is i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((-21 - (-23 + 22)) + 35).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d - 17*d - 5*d. Let u(q) = -q. Determine x(u(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 12.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l**3 - 2*l**2 - 2*l + 20. Let h(q) = 22*q**3 - 3*q**2 - 3*q + 20. Let n(y) = 2*h(y) - 3*z(y). What is the first derivative of n(m) wrt m?\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 998 + -1021. Put 2\/7, z, 5 in decreasing order.\nAnswer: 5, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2) - (284 - 283).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1 = -4, -u = z - 45. Let y = 11 - 9. Suppose 0*p + y*p - 146 = -2*h, h - p = 65. Calculate the greatest common factor of h and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -47*j**3 - 2. Let x(g) = -24*g**3 - 1. Let p(o) = 2*m(o) - 5*x(o). Is 9 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 393*v + 9802 - 1156 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3057680 + 5*f**2 - 3057680.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7940941 days in microseconds?\nAnswer: 68609730240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4884882655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/9 in -3, 5, -7, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u + 5*a = 0, 5*a - 15 = 0. Let b(o) = -o**2 + o + 4. Determine b(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 9*b - 4400. Let y = -1273\/306 + 32\/17. Find the common denominator of y and 4\/22 + 4\/(b\/(-4825)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 * -9\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-292)\/(-949)*1\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*s - 45. Let l(y) = 4*y - 2. Let n be l(10). Let k = n - s. What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*v - 155*v + 141*v)*((1 - 2*v - 1)*(-2 + 1 - 1) + 0*v - v + 2*v).\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1088) - (5*sqrt(85))\/sqrt(5)) + ((sqrt(153) + 3 + sqrt(153) + -5)*1)**2.\nAnswer: -21*sqrt(17) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247*z**3 - 592.\nAnswer: 741*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4127279 to the nearest integer?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6930 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/51, 0.4, -33, 2\/223, 0.07?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**2 + 12711. Let k(x) be the first derivative of 215*x**2\/2 - 2. Calculate s(k(b)).\nAnswer: 430*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89.1 - -1565.9. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 27720.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100110010 + -111111100?\nAnswer: -1100100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 + 530. Suppose 55*l - y = 52*l. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18318 + 19794. Calculate the smallest common multiple of k and 8.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412797?\nAnswer: 3, 7, 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:13 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.418 times 0.2?\nAnswer: 0.2836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -1, -1\/2.\nAnswer: -130, -1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3391 is divided by 263.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 52, -4.\nAnswer: -4, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 1:19 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2254*j + 30 - 1138*j - 1115*j. Give k(14).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 3*k**3 - 1153 + 1153.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76 - 4237*m**3 + 15*m**5 + 4237*m**3 + 3*m**4 - 17*m**5 - 5*m**5 - 2*m**5 + 3*m**5 + (-7*m**3 + 3*m**3 + 2*m**3)*(0*m**2 + 0*m**2 - m**2).\nAnswer: -4*m**5 + 3*m**4 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18839685?\nAnswer: 3, 5, 439, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(6\/18). Solve k*b + 20 = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14735 = y + f, -2*y + 3*f = -29461. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/7, -2, -21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564584365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tattatattttatattatt. Give prob of picking 3 a.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-19) - (-145)\/(-475). Is f <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 771 + -764. Solve 4*a + q = g + 12, -2*a = 5*g - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 + 1442*m**2 + 259198*m - 260642 = 0.\nAnswer: -361, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 25758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44877 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Suppose 5*r = -z + 11, -4 = -3*z - t*r + 7. What is the units digit of (z - 1) + 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -538*q**2*t**2 + 2*q*t**2 - 44*q*t + q wrt q?\nAnswer: -1076*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*q - 1099 = 2156 + 5250 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4\/9))\/t*t*t**(2\/13) assuming t is positive.\nAnswer: t**(83\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.93 - -0.07. Let z = 0 - -0.3. Which is the closest to 2? (a) -1\/3 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*a*w**2 - 162*a + w**4 - 2*w**2 wrt w.\nAnswer: -24*a*w + 4*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 199 or 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*1)\/sqrt(8))\/sqrt(12).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3601303 and 1791.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - x = -2*q - 18, x = -4*q - 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8213 + -8213.2. Which is the biggest value? (a) j (b) -0.5 (c) 18 (d) 1\/4 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.09 (b) 0.3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (270*f**2 - 326*f**2 - 1999*f**2)*(0 - 2 - 1) as q*f**2 + p*f + j and give q.\nAnswer: 6165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15942, -31852, -47762, -63672, -79582, -95492?\n\"Answer: -15910*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9630 (base 10) to base 4.\nAnswer: 2112132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 + 1 - 1057*r + 515*r + 478*r + 1 as q*r + b*r**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*m - 4*s, 23 = 2*m + 3*s + 2*s. Suppose 0 = m*i - 70 - 70. Suppose -2*a + i = -29. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/15*((-12)\/7)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.225 millilitres in litres?\nAnswer: 0.725225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/1944 and 149\/162?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4)*4\/5. Suppose 30*m - 162 = 12*m. Suppose -w*z - 882 = -m*z. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2460 (base 16) to base 2\nAnswer: -10010001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13713.\nAnswer: 3, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6480 and -173\/77131440.\nAnswer: 77131440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -872 <= -872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001101 (base 3) in base 8?\nAnswer: -4260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82864456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 5. What is y(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3 - 3972863*p**2 - 1242*p + 579 wrt p?\nAnswer: -12*p - 7945726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 3*h + 9*h)*(-h + 2*h - 3*h) + (-3*h**2 + 5*h**2 + 0*h**2)*(-120 + 64 - 106) to l*h**2 + o + r*h and give l.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*n + 684 = 70*n. Let t = 175 - n. Suppose -43 - 41 = -7*v. Solve v = t*o - o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2 + 751. Let f = 76 - 80. Let v = f - -4. Is r(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, z: 1}. Give prob of picking 1 e and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 441. Let v(q) = 144*q. Give v(b(p)).\nAnswer: -288*p - 63504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10.27551 months?\nAnswer: 0.8562925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -44*j**2. Let o(m) = 63*m + 2*m**2 - 63*m - 3*m**2. Calculate o(q(p)).\nAnswer: -1936*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 59, 6, 1.6 in increasing order.\nAnswer: -75, 1.6, 6, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*t + 35, -5 = 4*t - 3*q + 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51955529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 37092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 + z - 2. Let y be 4\/(-2)*1\/(-2). Let t be u(y). Solve t*o + 8 = 2*b - 2, 0 = -3*o - 5*b - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzb when three letters picked without replacement from {x: 1, b: 2, i: 2, v: 1, u: 1, z: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 0 - 10 = 10, 147*s - 12 = 151*s - 8*i for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + 0 + 5 - (21 + -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4078704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97398 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a minute in seconds?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 9. Suppose -c - f = -4*c. Find the second derivative of c*g**2 + 0*g**2 - g - g wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.48664 + 0.49. What is z rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = h - 260. Which is bigger: h or 25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 88\/24 - 4\/6. Let d(x) = 8*x**2 + x**y - 8 - 2*x - 9*x**2 + 11*x - 5*x**2. What is the units digit of d(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 - -112?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7959 + 23875\/3. Is 0.6076 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25576 - 0.75578. Let z = x + 0.5. Round z to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3913*z**2\/2 + z\/2.\nAnswer: -z*(3913*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:13 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2, -1\/8, 2\/9, 11\/5, -3\/8?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 37 = -2*a, 5*p = -4*a + 42833 - 42768 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12)\/(b\/((b**(-15)*b)\/b)))\/(b*b**(1\/5)*b*b**6) assuming b is positive.\nAnswer: b**(-181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359 + 152 + 108 + 93 - 3*x.\nAnswer: -3*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 228?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51610959.\nAnswer: 3, 1911517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o = -3*t - 31 - 36, -126 = 4*t + 5*o - 137 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -17, 8, 51, 118?\n\"Answer: m**3 + 6*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4077822 + -2787822. Round v to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 31 = 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 5*g**2 - 7*g - 5. Calculate p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 2. Let n be a(-1). Suppose n*k = 3168 - 9928. Round k to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**3 - 4*o**2 - 4*o - 4. Let r(d) = 9*d**3 - 5*d**2 - 5*d - 5. Determine -4*r(y) + 5*z(y).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 3*s**5 + 4*s**5 + (0*s**4 + s**4 + s**4)*(0*s + s + s) + s**2 - 80*s**5 + 118*s**5 - 59*s**5.\nAnswer: -18*s**5 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**8\/6720 + b**7\/504 - 7*b**6\/720 + b**5\/40 - 23*b**4\/24 - 33*b**2. Let k(t) be the second derivative of m(t). Factor k(u).\nAnswer: -(u - 3)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 10*f - 105, 38*n - 33*n + 44*f + 381 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 3*f + 3. What is b(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.2 - 28. Let u = b + 7. Which is bigger: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*o + 502*o = -20636. What is the greatest common factor of o and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3368 - 3366 - 40*s - 2*s**2 - 11*s - s**4 in the form y*s**2 + h*s**4 + n + x*s**3 + p*s and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 75. Let a = u - 14. Let l = a + -18.00058. What is l rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3553 is divided by 48.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-24))\/(-6*2\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a century in decades?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w - 35*w + 138*w - 32*w - 23*w.\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 5, i: 14}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2865 = 7243. Let y be (-95000)\/(b\/(-480) + -3). What is y rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530356494 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 - q. Let r be b(0). Suppose -11760 = 33*n - 9*n. Let y be -2 + (-6 - n\/63). Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 11*g - 3*v + 28 = 0, -g + 7 = 2*v. Let y(j) = j - 9. Give y(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*l - 14, -4*k - 2*l + 151 = 137 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2247 divide 130562891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 164 (c) -4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 1. Let k be j(5). Let a be 94\/6 + (-4)\/k. Suppose 38 + a = w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 + t + 1. Let j(y) be the first derivative of -y**5\/5 + 7*y**4\/4 - 4*y**3 + 5*y**2\/2 - y - 13. Let w(o) = c(o) + j(o). Factor w(l).\nAnswer: -l*(l - 3)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 94?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 9*q**2 + 228*q - 175. Is m(45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q - 5*r + 12, -3*q + 6 = 3*r. Suppose -g + 18 = -t, q = -2*g - 0*t + 3*t + 38. What is the remainder when 61 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 73, -4 in decreasing order.\nAnswer: 73, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/540 - j**5\/135 + 7*j**2. Factor f(o).\nAnswer: 2*o**2*(o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 165\/2*-27*(-10)\/75. Let v = x + -233. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 18*i**3 + 10*i**3.\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11563422.\nAnswer: 2, 3, 13, 148249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-16))\/((-12)\/104)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-2)*((-15840)\/168)\/(-33)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/2, -124\/3, 0.3.\nAnswer: -124\/3, 0.3, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12749 by 61.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6108931.\nAnswer: 181, 33751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8219*w**3 - 2*w**2 - w. Let t be g(-1). Suppose -12*f = 2806 - t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -131*a + 135. Let n be s(1). Solve -5*f + 20 = 5*j, -9 = -5*j + n*f + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from jjjzzjjjj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2832\/5 - -567. Sort -0.1, i, 87 in increasing order.\nAnswer: -0.1, i, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oonx when four letters picked without replacement from {n: 1, o: 2, r: 1, i: 1, w: 1, x: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -48147\/739?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 472, 706, 940, 1174?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261 - -255. Calculate the lowest common multiple of 164 and x\/(36\/(-138)) + -5.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/(187\/(-88)*6\/(-51))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 63424617?\nAnswer: -63424626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -6*m**5 - 27*m**4 + 42*m**3 + 123*m**2 - 72*m - 60 = 0.\nAnswer: -5, -2, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 525808125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -8*q + 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 - 21155?\nAnswer: -21341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -443 + 446. Sort n, -3, 9, -5 in descending order.\nAnswer: 9, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 75*p + 874. Let z be s(10). Solve 4*g = -2*a - 2 + 18, 2*g - z = -5*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200)*3)\/(sqrt(88)\/sqrt(2)).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1893877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 - 6*m**4 + 2*m + 3*m**4 - m**2 - 1 to the form o*m**4 + n*m + w*m**3 + a + l*m**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78132172 is divided by 140?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + 1.4. Let w = -0.1 + 3.1. Let q be (-2 + 1)*(-3)\/3. Put w, c, q in ascending order.\nAnswer: q, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**2 - 35*h**2 + 42*h + 3*h + 5*h**3 + 0*h**3 - 20 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 1086. What is the greatest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 42, 101, 198, 339, 530, 777?\n\"Answer: y**3 + 10*y**2 - 10*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o**4\/5 + 44*o**3 + 266*o**2\/5 - 1264*o\/5 + 152 = 0. What is o?\nAnswer: -10, -38\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 20*i + 17 = 0. Solve -3 = -3*b - 3*y - 6, 3*b - y - i = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = v + 7, -2*j - 4*v = 0. Suppose -j*s - 3*n + 26 = 0, 4*s + n - 9 = 21. Calculate the highest common factor of s and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 4*m**7\/315 - 11*m**6\/225 + 3*m**5\/50 - m**4\/90 - m**3\/45 + m - 30. Find o, given that u(o) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 - 2*-2. Suppose k + k - 16 = 4*p, 3*p + w = 3*k. Let i be (1\/18)\/(p\/24). Put -0.5, i, -1\/7 in descending order.\nAnswer: -1\/7, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10111?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 571*u**2 + 789*u**2 - 3*u.\nAnswer: 218*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -152.\nAnswer: 33\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - y**2 - 3*y + 3. Let a(p) = 3*p**3 - 3*p**2 - 7*p + 5. Let v(w) = -3*a(w) + 5*j(w). Let u be v(-4). Let s = u - -93. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let b(w) = 68*w**2 + 9*w - 69075. Give b(l(y)).\nAnswer: 272*y**2 - 18*y - 69075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 546 - 544 - 6*a**2 - 4*a**2 - 3*a in the form s + g*a**2 + t*a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + 7*q - 6. Let i(h) = -3*h**3 + 6*h - 11. Let o(r) = 3*r**3 - 6*r + 9. Let d(g) = 2*i(g) + 3*o(g). What is 7*d(a) + 6*j(a)?\nAnswer: -3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 71\/4. Let o be 80\/(-14) + 42\/(15 - 8). Sort z, o, -3 in decreasing order.\nAnswer: o, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 595, 592, 577, 544, 487?\n\"Answer: -a**3 + 4*a + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 14*m - 4 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2017392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o*(o*o**(-7\/3))\/o))\/o)\/o))\/(o*o**(-30)*o))**(-9\/5) assuming o is positive.\nAnswer: o**(-258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let a = 0.14 + 1.66. Let g = a - p. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 1634?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58190 - 2201?\nAnswer: -60391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 3\/4 (b) -0.06 (c) 3 (d) 176\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2*n - 1. Let z be -1*((-3)\/6 - 1\/2). Give t(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -663 divided by 544773\nAnswer: -221\/181591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 40 = 0, 4*r = v + 24 + 156 - 31 + 282 for r.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/4 - 375*s**3\/4 + 59355*s**2\/2 - 86400*s - 528768 = 0. What is s?\nAnswer: -272, -3, 6, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1564332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 12314143?\nAnswer: -12314110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 375225*q**2 - 11733004329*q + 11732629107.\nAnswer: -3*(q - 62537)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21895.7 - 21896. Which is the fourth smallest value? (a) 0 (b) u (c) 2 (d) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012792 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**2 - 5. Let g(w) = 3*w**2 + 2. Let d(t) = 3*t + 7. Let n be d(-6). Give n*g(j) - 4*s(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 67594 divided by -19\nAnswer: -67594\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y + 2. Let i(r) = -2*r - 1. Let s(d) = -4*d - 2. Let z(t) = -3*i(t) + 3*s(t). Give 3*c(o) + 2*z(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1207 and -1?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -19. Suppose -h*d - 35 = -10*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/5 - 289*s**4 + 522728*s**3\/5 - 521284*s**2\/5 = 0. What is s?\nAnswer: 0, 1, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*v + 76. Suppose 2520000 = -2*k - v*u, k + 5040000 = -3*k - 3*u. Round k to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.4, 8030, -7, -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 3*b)*(0 + 2 + 1)*(b**2 - 4*b**2 - 26*b + 5*b**2) + 2*b**3 + 3*b**3 - 4*b**3 + (-4 - 3 + 5)*(3*b**3 - 2*b + 2*b).\nAnswer: -17*b**3 + 156*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 5*y - 6*y. Let i(p) = -2*p. Calculate k(i(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36197.93 weeks to microseconds.\nAnswer: 21892508064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3463762606 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097425757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2*-1)\/((-36)\/18)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13*t. Let v(k) = -65225*k**2. Determine s(v(z)).\nAnswer: 847925*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (-5 + 9 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19601 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4605, -2553, 0.1 in descending order.\nAnswer: 4605, 3, 0.1, -5, -2553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 9:30 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18606997, 37213844, 55820689, 74427532, 93034373?\n\"Answer: -j**2 + 18606850*j + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 2*h. Let k be g(2). Let v be 6\/4 - (-3)\/2. Solve k = -v*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + 3*l**2 - l**2)*(227 - 255 - 315) as y + d*l**2 + k*l and give d.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/30)\/1)\/((-60)\/40).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7173328 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 7 - 7)*(-v**3 + 0 + 0).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -2 + (-4 - (9 - 10)) - 119?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1) - 3*-26. Suppose 1311*p = 1304*p + 840. Let r = y + p. Calculate the remainder when r is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m**3 + 63581*m**2 - m - 63582*m**2 - m**3. Suppose -4*b - 3 = -b. Calculate v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/((j*j\/(j\/(j*j**(-3\/5)*j)))\/j))\/j)**(-28))**(-31))**(-3\/17))**(-7) assuming j is positive.\nAnswer: j**(-127596\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*m**3 - 11*m**2 - 4*m + 98448.\nAnswer: 129*m**2 - 22*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 39. Is 1\/33 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1192*i**2*w**2*y - 2*i**2*w*y - i**2*y + 57*i**2 + 7*i*w**2*y + 781*i*w**2 - 236*i*y + 248*w wrt w.\nAnswer: -2384*i**2*y + 14*i*y + 1562*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u + 1089 = -1151. Let n = 29 + -96. Which is bigger: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 + 126. Let u = o - -130. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 17 - 43 - 7*o + 8*o - 58 in the form x + f*o**2 + k*o and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 3.8. What is the nearest to -1\/2 in 4\/5, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, o: 3}. Give prob of sequence ooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*i + 30 = z, i + 4 = 0. Let j be 8*(1\/z - 0). Put 2, 1, j in increasing order.\nAnswer: 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71145 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 18 = -4*i - 12, 4*n - 18 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 3*j**2 + 6*j - 2. Suppose 3*k - 104 = -23*k. Calculate a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:39 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 78\/(2 + 1) - 2. Suppose -5*j + 94 = w. Let i = 11 - 6. Calculate the remainder when j is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, f: 2, g: 3, n: 4}. What is prob of sequence nn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -4, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/4 + 2*p**2 - 7*p. Let s(t) = t**2 - 1. Give a(x) + 4*s(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36021 - 36018. Let r(k) = -14*k**2 - 3. Let l(u) = -u**2 - u + 1. Calculate m*l(a) + r(a).\nAnswer: -17*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/6*(-39)\/(-26). Solve a*w - 16 = 4*v, 0*v = -3*v - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {i: 2, y: 3, l: 3, b: 3, z: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -10*n - 0*n. Solve 4*a + 4*g - 8 = -a, -2*a - 5*g + n = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/18)\/(4\/(-30)). Suppose 3*s = 5*f - 4, 0 = 3*s + 2*f + v + 1. Let x(g) = 2*g**2 + 5*g + 4. Is x(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + sqrt(18)\/(sqrt(96) + sqrt(6)) + sqrt(27)\/(6*2*sqrt(9)))*-5.\nAnswer: -20 - 17*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -264444*o - 2115480. Determine i(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b5cb0 - -160?\nAnswer: -1b5b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 20*d - 19.\nAnswer: -(d - 19)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3524*a**2 - 11*a - 1663. Let l(i) = 705*i**2 + 2*i + 337. Let x(z) = 2*b(z) + 11*l(z). Differentiate x(k) with respect to k.\nAnswer: 1414*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -99*i**3 + 4*i**2 + 4*i - 4. Let r(q) = q**2 + q - 1. What is 4*r(a) - z(a)?\nAnswer: 99*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.761 (b) -5 (c) 37 (d) 2\/9 (e) -1\/7 (f) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-24449)\/(-690)*5 + (-2)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 p when four letters picked without replacement from {p: 1, z: 14}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -8, 4, -0.8, 4\/7 in ascending order.\nAnswer: -8, -0.8, -0.5, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277651167 to the power of 1\/2, to the nearest integer?\nAnswer: 16663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/7 in 2, -2\/11, 0.4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/366824 and -53\/8.\nAnswer: 366824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/13*(-3)\/(240\/104)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017068307 to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2224656 (base 8) to base 7.\nAnswer: -5050466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4 + 2*q + 4*q + 1 - 1. Let y be w(4). Suppose 540 = 5*j - 4*g, 524 = 5*j + 4*g - 56. What is the highest common factor of j and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4\/h**(2\/35))**(-39) assuming h is positive.\nAnswer: h**(-5382\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6510, 9, -1, 5 in ascending order.\nAnswer: -6510, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i + 9. Suppose -3 = -5*j + 4*j. Let t be 17\/34*(1 + j). Let z be 5\/(-15) - t\/(-6). What is w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 40 = 10. Let z = -10 + q. Solve 0 = -5*l + 5 - z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + r. Let y be c(1). Suppose 0 = -4*m, 45 = 3*n + y*m - m. Let j = 16 - n. Sort 3, j, 0.\nAnswer: 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -2, 1\/3, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 846 - 166. Let q = 885 + l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -80021, -2, -1, -5, -4 in increasing order.\nAnswer: -80021, -13, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (520\/(-3))\/26*(1 - (-15)\/(-6)). Put -12, s, 4 in increasing order.\nAnswer: -12, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.99. Let j = 74 - 65. Is o > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144680?\nAnswer: 2, 5, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.2 - 18. Let v = -8 - m. Let w = 397 + -398. Sort v, 0.2, w in ascending order.\nAnswer: w, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.9652 - -48. Let y = n + 0.1652. Is 0.165 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 23*a**8\/168 + 23*a**4\/12 - 25*a**2. Find the second derivative of s(h) wrt h.\nAnswer: 920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4112 and 196862.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 504269 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a = 58 + 149 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + u = 2084, 0 = r - 3*u + 2*u - 688. What is the greatest common factor of r and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 26, 43, 66, 95, 130?\n\"Answer: 3*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 7*u - 101, -r + 636*u = 1298*u - 663*u - 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54742?\nAnswer: 2, 101, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2765, 2758, 2751, 2744, 2737?\n\"Answer: -7*v + 2772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 657 + -205. Let c = o - -229. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r + 5. Let u(j) = -4*j + 2. Let c(m) = 6*q(m) - 15*u(m). Let h(p) = -72 + 3*p + 72. What is c(h(f))?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/13 + 64*n**4\/13 - 636*n**3\/13 + 1432*n**2\/13 + 5038*n\/13 + 2904\/13 = 0.\nAnswer: -1, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -747.99.\nAnswer: 2243.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 854214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 38 (b) 4 (c) 15 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.93 - 0.07. What is the smallest value in m, -0.11, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.4, -3.\nAnswer: -3, 0.4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (495\/(-130) - -4)*8\/(-10). Which is the second biggest value? (a) t (b) -5.8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 92\/3. Let z be (2\/7)\/((-2)\/2). Let i = -0.4314 - -0.5314. Which is the closest to i? (a) z (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhhfhhfffnnf. Give prob of sequence fh.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*u**3 + 41*u**2 - 316*u - 1 wrt u.\nAnswer: 96*u + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131332 - -3?\nAnswer: 132001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001235 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a**5 - 28*a**4 + 39*a**3 - 26*a**2 - 5*a + 8. Let o(k) = 4*k**5 - 9*k**4 + 13*k**3 - 9*k**2 - 2*k + 3. Let f(s) = -8*o(s) + 3*t(s). Factor f(n).\nAnswer: n*(n - 1)**2*(2*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-4)\/(-372))\/((20\/(-5))\/12).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 38. Let n be ((-2 - r) + -2)*-1. Suppose -a + g + 6 = 0, -3*a + g - n = 3*g. Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 3*o - 66. Let k = 26 + o. Calculate the highest common divisor of 80 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/4 + 1\/(-1) + 18. Suppose -7230 = -5*q - 2*b, 3*b - 2333 - 570 = -2*q. Let x be q\/z + (-14)\/63. Calculate the highest common divisor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 + 3234345853.\nAnswer: 3234345875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26c - 145?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 53 - 83 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - 2a6b?\nAnswer: -2a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 6, -9, 2 in descending order.\nAnswer: 52, 6, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 12285.54 minutes?\nAnswer: 737132400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/(-105) - 4\/(-7). Suppose w = -0*q - 6*q + 1812. Let d = -136 + q. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5022 divided by 93\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32629 + 36051. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -19*i - 5. Give x(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*(-6)\/38)\/(4\/(-16)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 16*a + 1. Let z be t(-16). Suppose z = 2*o - 9. Let 0 + 0*c**2 + 2\/3*c**4 - 2\/3*c**o + 0*c**3 + 0*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*g**2*z**2 + 5*g**2*z + 6758*g**2 + 2*g*z**2 - 3*g*z + 105*z**2 - 2*z wrt z.\nAnswer: 202*g**2 + 4*g + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.173383 to two decimal places.\nAnswer: -3.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-3)\/9*-3. Suppose 0 = -x + z*x - 4. Suppose x*d = -2*d - 48. What is the common denominator of d and 25\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12\/(k\/(k*k**(-1\/16)*k*k)) assuming k is positive.\nAnswer: k**(223\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(25\/((-11250)\/(-2712)) + -6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*c + 1621 + 87, -3*u = -12. Calculate the greatest common factor of 5904 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 34*v - 51399 = 23522. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-36) - (-27)\/(-162). Does -16\/37 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*c + 21 = 0, -4*c - 22 = 21*n - 20*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:05 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*l - 70 = 0. Suppose 7*i - l*i + 3873 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857715.2ml in litres?\nAnswer: 857.7152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5046 divided by -6?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66552809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -296 + (-2)\/((-2)\/(-1)). Let h be 54\/v + (-92)\/(-22). Suppose -h*c = -17*c + 8450000. What is c rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a18 (base 11) to base 4\nAnswer: -3032120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 140, 204, 252, 278, 276?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -92*t + 38. Suppose 27*x = 18*x - 63. Let a be b(x). Calculate the greatest common factor of 62 and a.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2988*q**4 - 1054 - 12 + 877*q**3 - 877*q**3 - 500 wrt q.\nAnswer: -11952*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 - 205?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65243 + 95988 = -715*f for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0)**(-15)*h\/h**5*h**3)\/((h**(-4)\/h*h\/(h*((h*h\/h**(3\/4)*h)\/h)\/h))\/((h*h**0)\/(h**(2\/7)*h))) assuming h is positive.\nAnswer: h**(-309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.62574 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -996 + 995.9. What is the second smallest value in 4, 0.077, 0.3, d?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:10 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + ((-385 + 380)*(-6)\/9*3 - 9).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 18 = -12*x + 10*x, 5*x = -2*v + 29. Suppose -5*i - 9*j + 4*j = -2925, -j = v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/9 - 8*g**4\/9 + 20*g**2\/9 + 2*g\/9 - 4\/3 = 0 for g.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**2\/9 - 56*x\/9 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000754 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -280 + 283. Let k(z) = 10*z + 3. Give k(b).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and 0.02067?\nAnswer: -0.49608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38b (base 15) in base 4?\nAnswer: -30212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.4 - -7. What is the third biggest value in -6, 0.4, m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/(q\/(q\/(q\/q**(-1\/5)))))\/q)*q*q*q**(1\/2)*q)\/(q*q**(1\/6)\/q*q*q*(q**5\/q)\/q))**(2\/15))**(-9) assuming q is positive.\nAnswer: q**(-16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 7\/(-2))*-2. Solve 3*t + 20 = -4*k, 0 = -z*t + 2*k + 3 + 7 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.2, -2\/41 in decreasing order.\nAnswer: 0.2, 2\/23, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/2*84\/(-15). Let v be 4\/(-6) - p\/(-6). Let l(g) = -4*g**2 - 166*g - 80. Let n be l(-41). Solve v*b - n*r + 2 = 0, -4*b + 4*r - 4 = -0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*-284*9\/288. Solve 0 = -7*g - 36 + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from qxrqmsmxmqmmrxmqaqr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -62*v + 2401. Let q be d(38). Calculate the highest common divisor of q and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.456 - 0.456. What is the third smallest value in -3\/13, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 76\/5 of a hour?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100560 and 125050.\nAnswer: 1257502800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = -1. Let q be 1*1\/(u\/(-4)). Solve -35 = -5*f - 5*y, -q*f + 2*y + 13 = 3*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3004720 and 16560?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(567)*-3 - sqrt(567) - sqrt(567)) + 2)**2.\nAnswer: 108*sqrt(7) + 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1012))\/((-894)\/(-10281)).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2. Let s(g) = 4489*g + 1. Give s(j(p)).\nAnswer: 8978*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427419584?\nAnswer: 2, 6678431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.96132 micrometers to centimeters.\nAnswer: 0.002896132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 6*c + 2. Let x be -6*(1\/(-2) + 2). Let a = x - -5. What is the remainder when b(a) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/60 + 7*f**5\/30 - 5*f**4\/24 + f**3\/6 + 121*f**2 + f - 1. Calculate t(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/2 + -20*(-79)\/(-632).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17458?\nAnswer: 2, 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 817, 1647, 2477?\n\"Answer: 830*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(75) + 0 + 4)*1.\nAnswer: 6 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 62 - 22 = -3*i, -4*w - i = -63. Suppose 1 = -2*u - w. Let q be (-8)\/((-22)\/u + -3). What is the greatest common divisor of q and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 2*g + 5*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/((-78)\/(-54)*3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1\/4, 3\/5, 16.2, -59 in decreasing order.\nAnswer: 16.2, 2\/3, 3\/5, 1\/4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 264129 > 264169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038862393 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 137, 294, 509, 782, 1113, 1502?\n\"Answer: 29*k**2 + 12*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7886 - -2733?\nAnswer: -5153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5)*51\/357?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(240))\/sqrt(12) - sqrt(200)\/(sqrt(10)*-2))*2)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m - 9. Let y(j) = -j + 10. Suppose 4*u - 51 = -0*k - 3*k, 5*k = -4*u + 61. Let z be y(u). Let i(x) = -x + 1. What is z*t(b) + 5*i(b)?\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*u - 81 = 24, 3*j - 39 = -3*u. Let w be 54\/(-4)*(-1 + -3). Calculate the greatest common factor of j and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*5.401.\nAnswer: 32.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 255*r**4\/2 + 1467*r**3 - 16923*r**2\/2 - 189*r + 9612 = 0.\nAnswer: -267\/17, -1, 6\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -942?\nAnswer: -942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-354)\/8850)\/(6*831\/(-30)). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/54009452 and 169\/16044.\nAnswer: 162028356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2214.895 and 2860744.\nAnswer: 2862958.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-3 - 0) + 0) - (16 + (231 - 114))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.056307 from 198.\nAnswer: 197.943693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32417547*v**4 + 8957087.\nAnswer: -129670188*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + w - 320, -3*c + 3*w = c - 320. What is the greatest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9534378 litres?\nAnswer: 953.4378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17*-9225\nAnswer: 156825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203.2 - -199.2. Sort i, -0.2, 21 in descending order.\nAnswer: 21, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -72*t + 2306. Let d be i(32). Solve 2*h = d*u + 18, 5*u + 17*h - 13*h = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 594 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6005? (a) -3 (b) 2 (c) 5 (d) -0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69.5 + 69. Which is the fourth biggest value? (a) y (b) -4 (c) -3 (d) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2387 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350370 is divided by 6737.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12\/13, -4, -0.4, 2, 1377, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (371*33\/154)\/(141\/(-94))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 3. Let b(r) = -4 - 2 + 2*r + 5 - r. Give -3*b(v) + m(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3929802.56 to the nearest 1000.\nAnswer: 3930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7434096 and 97\/9912128.\nAnswer: 29736384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24947\/(-11115) + -2*-3*(-4)\/(-54). What is the closest to -2\/7 in 5, r, 51?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 49*j + 19. Calculate the remainder when w(3) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 8, 2.8, -17?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -0*t - 3*t. Suppose -4*m - t = -5*m. What is the first derivative of -29*g + m*g + 1 + 0 - 2 wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.5, -126582, 0 in decreasing order.\nAnswer: 0.5, 2\/13, 0, -126582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**3 - 1 + 85*g**3 + g**3 - 154*g**2 - 92*g**3 - 5*g to the form a*g**3 + l*g + p*g**2 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/(-5))\/(11\/55) - -10)*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 + 18)\/(-2 + (-1)\/(-1)). Let c(b) = 3*b + 6. Let l be c(t). Sort -6, l, -2, 0.\nAnswer: -6, l, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 9*d**2 + 5*d + 7. Let b(t) = -t**2 - 1. Let w(g) = -5*b(g) - c(g). Factor w(u).\nAnswer: -(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s + 428. Let u be j(43). Suppose i - 5 + 40 = 0. What is the hundreds digit of (-9755)\/i - u\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1287024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i**0*i)*(i**50*i)\/i assuming i is positive.\nAnswer: i**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*f - 3*f. Let o(r) = -f + 3 + 3*r**2. Let m(u) = u + 1. Let k(z) = -10*z - 9. Let l(a) = -2*k(a) - 18*m(a). Give l(o(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -3 + (5 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16059 = 3*h - 3*g, 3*h - 10225 - 5806 = -g. What is the highest common factor of h and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -6, 12, 46, 102, 186, 304?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 15. Let m = 27 + -3. Suppose h - m = -a*h. Calculate the lowest common multiple of h and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271 + -166. Suppose 2*l + 4 = 0, -2*s + 85 + r = 2*l. What are the prime factors of s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*z + 10*z + 3*z + (-4 + 1 + 1)*(0 + 2*z + 0).\nAnswer: -100*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:18 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70376*h**3*r + 3*h**2*r + 447*h*r + 7*h - r - 2 wrt h.\nAnswer: -422256*h*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1806166 is divided by 200581.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 2750?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*t + 1 = -4*c, 5*c + 7 = 2*t. Suppose -4*o + 2*o - 10 = 0. Let m = c - o. Solve m*f = d + 11, 5*d - 5 = 9*f - 4*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*3078\/1197?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -630*w + 3073. What are the prime factors of c(-3)?\nAnswer: 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32070, 27917, 23764?\n\"Answer: -4153*i + 36223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 - 8*w - 6. Let k be u(-5). Let r = k + 19. What is the smallest common multiple of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216887543 is divided by 218?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 112, -0.1, 4, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 + -95. Let w be 1 - (-6 - (j + -4)). Suppose -3*c + 1 = -2. Solve -3*f = w - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1409 - -1600. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 1108036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 13. Suppose f + 2*d = d + 2, -2 = -f + 2*d. Suppose f*k = 3*y, -y = -k + 4*y - 14. Give b(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2597, 5194, 7791, 10388, 12985?\nAnswer: 15582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/((-6)\/(-9)). Let m be 62\/(-1) + g - -2. Find the common denominator of (m\/(-30))\/(3\/(-9)) and 31\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1346 - -6756\/5. Calculate the common denominator of c and (97\/(-4) - -3) + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9649*j**2 - 2 - 8 - 9651*j**2. Let p(m) = m. Calculate p(q(a)).\nAnswer: -2*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-6))\/((-13)\/6 - -2). Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14140231 + 2?\nAnswer: 14140233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = -10*g. Let j(c) be the third derivative of 0 + 1\/30*c**5 - 2\/3*c**3 + g*c**2 + 0*c - 1\/12*c**4. Factor j(o).\nAnswer: 2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924233084 a multiple of 1132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -554 - -587. What is the remainder when a is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 11:24 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -51*x - 518. Let b be p(-12). What is the highest common factor of 1081 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/6 - (-4)\/(-12). Suppose -s*n = -3*n - 22. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569, -715, -935, -1235, -1621, -2099, -2675?\nAnswer: -3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 4. Let q(t) = -t**2 + 1. What is 2*q(k) + w(k)?\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/21*(1*-5 - 8342\/(-970)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20203 + -6?\nAnswer: 20175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 13. Let v be (-88)\/12*(9 - 18). Calculate the highest common factor of v and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 - 5690*q**4 + 34005*q**3 - 50960*q**2 + 22640*q = 0. What is q?\nAnswer: 0, 1, 4, 1132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023504*w - 1023630*w + 4032 = 0 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 2. Suppose -3*m + 0*m + 12 = 0. Let u be k(m). What is the second derivative of -3*z**3 + u*z**3 + 2*z**3 - 3*z**3 + 3*z wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.033116 milliseconds in hours?\nAnswer: 0.00001862031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48172)\/(-16060) - ((-72)\/720 + (-31)\/(-10)). Is p bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -68\/3. Let d = 3.57 - -0.43. What is the biggest value in d, p, 4\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 105112826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 62, -1, -13, 4 in descending order.\nAnswer: 62, 6, 4, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkkb when four letters picked without replacement from gkgkgkbkbkkgbbgrkkgp?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 293444438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1894, 1900, 1910, 1924?\n\"Answer: 2*o**2 + 1892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36751, -147001, -330731, -587923, -918559, -1322621, -1800091?\n\"Answer: 3*w**3 - 36758*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 20.2. Let u be (-2)\/(-8)*(-2)\/(6\/(-9)). Put l, u, -0.08 in decreasing order.\nAnswer: u, -0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 - 4*y + 17. Let m be q(5). Let c = 3 - 4. Sort m, c, 1 in descending order.\nAnswer: 1, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:00 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11608)\/(-18863)*10\/(-8).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 16. Put -3, 5, r in ascending order.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**2 - 226050*z + 1130325 = 0?\nAnswer: -75355, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 12. Suppose 0 = -5*f - 2*u - 1 - 20, 5*f + 15 = -5*u. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(700)*1)**2 + (-1*(sqrt(63) + 1*sqrt(63)))\/sqrt(9).\nAnswer: -2*sqrt(7) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4214202 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -512, -1996, -4456, -7892, -12304, -17692?\n\"Answer: -488*i**2 - 20*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 14*y + 22. Calculate d(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -4\/29, 1\/4?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6260888847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11684352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) -6 (c) -0.2 (d) 11 (e) -7 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Suppose 75 = 5*n - 2*b + 4*b, -60 = -4*n + 2*b. Let t(s) = -s**2 + 11*s + 55. Let c be t(n). Sort 4, y, c in descending order.\nAnswer: y, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -4*h**5\/5 - 471*h**4\/4 - 7*h**3 + 33*h + 1143. Find the third derivative of s(v) wrt v.\nAnswer: -96*v - 2826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16622.9*-13\nAnswer: -216097.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -94. Let j = 145.5 - 64. Let i = j - s. What is i rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 5*w - 10. Suppose 2 = w*z + 4, -5*z + 1 = r. Suppose 0 = -3*i - 5*g + 363, 2*i - r = 2*g + 236. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - (sqrt(7) + 2)*-6) + 3 + 1)*-3)**2.\nAnswer: 2016*sqrt(7) + 5391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, u: 6}. Give prob of sequence ug.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*g - 2*g. Let d = -6 - g. Suppose 10 = 5*q - 4*c - c, -5*q + 34 = d*c. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27723 + 27711.797. Round m to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -2*p - 2*j, -p = 5*j. Let o = 0 + p. Suppose 6*f - 3*f + 354988 = -o*b, -142008 = 2*b - 2*f. Round b to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-2)*(1336\/(-2338))\/(1\/6).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242390 - 242770 = -76*n. Suppose 4*w - 20 = -4. Sort n, 68, w in descending order.\nAnswer: 68, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14910781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from thwhhtjtjj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(6\/5)\/n)*n)*(n\/(n\/((n\/n**(1\/2)*n)\/n)))\/n*((n**0\/n)\/n)**(-43))**11 assuming n is positive.\nAnswer: n**(9317\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*u + 9 + 10, -5 = 2*u - 3*i. Suppose 0 = 5*r + 2*z + 1198, 3*r - z + 241 = u*r. Let g be (-2)\/(-15) + (-358)\/r + -1. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 32*y + 0*y.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**(-4\/11)*s**(-4\/5)\/s**(-10) assuming s is positive.\nAnswer: s**(486\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*l + 21 + 387. Let s(v) be the third derivative of 1\/12*v**5 + v**2 - 1\/6*v**4 + 1\/120*v**l + 0 + 0*v + 5\/6*v**3. What is s(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 36250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-14)*2*1*28. Let f = p - -87. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 246. Let t be 164 - (-16)\/(-4) - 3. Let d = f + t. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 37. Sort 11, 0, w, 4 in increasing order.\nAnswer: w, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqiqqeqqqqq. Give prob of picking 3 q and 1 b.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -6 - 0) + (-58 - -7 - -13) - -4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {p: 1, j: 1, x: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -855*o - 3756. Calculate n(-4).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014117 is divided by 344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16*(1 - ((-30)\/8 - -1)). Let g = -8 - c. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 22*g**2 - 20*g - 27. Let x be v(21). Let y be 2 + 3\/(3 + x) + -44. Let w = y - -31. Is -12 not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let u = -8 + 26. Let o(b) be the first derivative of u + 15 + 2*b**2 - 30. Give f(o(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 7*b**2 - b - 7. Let w be s(-7). Suppose -5*z = -w*z. Suppose -2*g = -0*g + r - 77, z = -3*g - 2*r + 115. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/28576 and 79\/27072.\nAnswer: 514368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 70 - -52 - (-2 + (1 - 44))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - h**3 + 0*h**3)*(h - 3*h - 2*h)*(2 + 3 + 4)*(2 - 3 - 3).\nAnswer: 432*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54688.\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741\/(-261) - (-3 + 2)*19?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 248\/14 + 4\/14. Let r be 8\/(-3)*f\/(-12). Put r, -5, -3 in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-168)*3*12*5\/20?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 - 19*c + 34. Let n(x) = -3*x**2 + 10*x - 17. Let g(r) = 2*a(r) + 5*n(r). What is the remainder when g(6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 4*c + 2. Let h = -8 - -4. Let t be x(h). Is (9\/t)\/((-9)\/(-48)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79485.49 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95.92 - 96.32. Which is the third biggest value? (a) 1 (b) 5 (c) -2\/3 (d) 1.1 (e) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, 22, 86, 150?\n\"Answer: 64*u - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24856, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28336370 - 2?\nAnswer: 28336368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-3)\/243*-2) - 4. Let n = w - 75. Solve -n*h - 6 = -4*m + 4, 5*h - m + 7 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 e when four letters picked without replacement from {e: 3, f: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134256 <= 134256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -2\/5 (c) -1 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.87 + -0.13. Which is smaller: o or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 6. Let n = 6076 - 6080. Let x(t) = 4*t + 5. What is n*u(m) + 5*x(m)?\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 + p - 3. Let i be j(4). Let t(l) = 5*l**2 - l. Let q be t(1). Let a = -2 + q. Put i, -2, a in ascending order.\nAnswer: -2, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i + 15. What is the tens digit of 124\/10 + 6\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4768 and 4579869710?\nAnswer: 4579869710.4768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7329*s - 2*s**4 + 17*s**3 - 7329*s - 2*s**2 + 3 wrt s?\nAnswer: -48*s + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-109)\/(-55) - 2). What is the closest to v in -0.3, 2\/13, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1 - 36\/6. Let r = q - -13. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/183 + -571\/488. Calculate the common denominator of j and 81\/380.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -27 - (68 + -72 - -40).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from dwdvvdv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - 101000010111?\nAnswer: -101000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-1 + (-3 - 4\/2)). Suppose -3*m + 5*o + 1042 = 0, -4*m - g*o + 1382 = -10*o. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270*q**6 + 9*q**2 - 11*q - 4*q - 2 + 13*q - 17*q**2 + 45*q**4 - 44*q**4 wrt q.\nAnswer: 32400*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from ohoo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2990*i - 1330 - 2988*i + 1330.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 15, -v - 179015 = -2*v + 3*j. Round v to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28314319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/9*56\/308.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from uggginmggnnioigniu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(16\/(-10))\/(952\/340)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4, 4*n - 7*d + 2*d + 19 = 0. Let a = -4 - n. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.077 + 2.923. What is the fourth biggest value in p, 1\/5, -75, -0.4?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b**2 + 103*b + 91. What is o(-15)?\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/336 and 55\/903?\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (88 + -87)\/((-2)\/(-126)). Let v(m) = -224*m**2 - 63*m + 63. Let j(o) = -14*o**2 - 4*o + 4. Determine u*j(p) - 4*v(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q = -t + 1, -5*t = q - 17. Suppose 0 = q*c + 34 - 48. Solve -c = 2*b + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9975 and 3130505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 618*w + 132088\/5.\nAnswer: 2*(w - 1501)*(w - 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(245))*-1.\nAnswer: -42*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1409072 by -44.\nAnswer: -352268\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4817828258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -966.993 + 967. Which is the biggest value? (a) 2\/5 (b) -1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 20. Let a be 19288\/6 - (-6)\/90*w. Let j = a + -2154. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(637)*-5*-1 + ((sqrt(637) - -1*sqrt(637))*5 - (2*sqrt(637) + sqrt(637))*3))*4)**2.\nAnswer: 366912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-188)\/(-2538))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 450965 divided by -5\nAnswer: -90193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:44 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0232 - -0.0768. Put s, -1, 3, -0.3 in descending order.\nAnswer: 3, s, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3 + 29*q - 17*q - 14*q + 29. Let k be r(13). Suppose -6*d + 2*d + 196 = k. Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56309, -112611, -168901, -225173, -281421, -337639, -393821, -449961?\nAnswer: -506053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/189 and -149\/987000.\nAnswer: 8883000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = r + 74, -5*r + 59 = 4*s - 6. Let w be -21*(8\/(-6) - -1). Suppose 0 = -2*g + w*g - 435. Calculate the remainder when g is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2. Let u(v) = 425*v + 13. Determine -6*n(o) - u(o).\nAnswer: -425*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1582 (base 10) to base 2\nAnswer: 11000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4656*g**3*l**2 - 13025*g**2*l**3 - 784*l**3 - 59902*l**2 wrt g.\nAnswer: 13968*g**2*l**2 - 26050*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:31 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 14. What is t(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -5*g + 22, y + 2*y + 4*g - 13 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630\/8*(-3904)\/4392?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 14. Let w(o) = o**3 - 4*o**2. Let r be w(4). Let j be (r + -1 - -1)\/y. Is j greater than 1\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190981372 to the power of 1\/3, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 2:45 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. What are the prime factors of 4*((-1 - a) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0117352 rounded to 5 decimal places?\nAnswer: 0.01174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 7*t**2 + t - 3. Let y be i(7). Let w(l) = 2*l**2 + 3*l. Let a be w(y). What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(30\/(19800\/(-22)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75.9 and 0.064.\nAnswer: -4.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3195 + 41895 = 450*f for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmws when four letters picked without replacement from {w: 3, r: 1, m: 4, d: 3, s: 2, p: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*t. Let r = -4 + 7. Let w(x) = t*x + r*x - 3 + 1. Let o(f) = -f**2 - 16*f + 11. Determine 2*o(b) + 11*w(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/27073032 and -143\/966894.\nAnswer: 27073032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - ((-48)\/(-40))\/(2\/(-10)). Find the third derivative of 20*j - 155*j**3 - 3*j + 145*j**2 - o*j - 7*j wrt j.\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 66 = -4*v + 10, 2*t - 42 = -2*v. Calculate the remainder when (-33 + 1)\/((-6)\/9) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2091 is divided by 1044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/25 + 23\/75. Let s = -8\/285 - h. Let x = 1 - 1.13. Which is the third biggest value? (a) s (b) x (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + z + 3 - 12*z**2 as r + n*z**2 + v*z and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -183 - 7?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 1165*j - 114. Let c(r) = -r + 19. Let u(v) = -6*c(v) - f(v). Factor u(l).\nAnswer: -l*(l - 1171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or 37\/62282?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3205078*w + 4717492.\nAnswer: -3205078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g + 9*g + 8*g + 372.\nAnswer: g + 372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.042 + 0.418. Let x = 7 + -6.66. Let a = x - i. What is the third smallest value in -4, -0.3, 3\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6226*q + 161883. Determine u(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 3, -5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 292*u + 19. Let z(j) = -6*j + 71. Calculate h(z(f)).\nAnswer: -1752*f + 20751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 636, 2072, 4874, 9498, 16400?\nAnswer: 26036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 49875 = 51*p + 4*p. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51786, -414283, -1398202, -3314253, -6473146, -11185591, -17762298, -26513977?\n\"Answer: -51785*q**3 - q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1092)\/(-490) - (-6)\/(-14).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7 + 8 - 1 + 2*v**2. Let g(k) = -19*k + 2. Calculate y(g(h)).\nAnswer: 722*h**2 - 152*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1 + h - 2 + 2 + 6. What is p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*q**2 + 87*q**2 - 43*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-10)*(-30)\/(-4). Let g be 4\/w + 5399916\/9. Suppose m - 371538 = -3*j - 11543, -2*m + g = 5*j. What is j rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Suppose 173 + 3 = y*o. Is 37 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -574\/9 (c) 4980\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/3*k - 18\/5*k**4 + 2*k**2 + 8\/5 - 2\/3*k**5 - 14\/3*k**3 = 0 for k.\nAnswer: -3, -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-6) + 11 + -14. Let n = 1 + -1. What is the closest to h in -5, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**7\/42 + v**6\/30 + v**5\/10 - v**4\/6 - v**3\/6 + v**2\/2 + 2*v. Factor t(d).\nAnswer: -(d - 1)**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**3 - 71*r**3 + 329853086 - 329853086.\nAnswer: -54*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 = -5*o - 9*j + 343, o = -4*j - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*y = -4*a - 99*y + 9723, -2*a = -5*y - 4857. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -38202?\nAnswer: -38186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(2\/15))**(-23\/5)\/(p**12)**(-1\/5) assuming p is positive.\nAnswer: p**(-809\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:55 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 3*x**2 + x**3 - 5 + 191 - 184 + 9*x. Determine m(5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 394.2.\nAnswer: 394.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 - 554*u**2\/7.\nAnswer: -2*u**2*(u + 277)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 3*w - 6. Let d be z(-4). Suppose 13 = -q + 2*v, v - d = -3*q - 105. What are the prime factors of 1808\/28 + 12\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1233 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}