diff --git "a/data/dm_maths/full_data_2/10815_11255.jsonl" "b/data/dm_maths/full_data_2/10815_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10815_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 267564953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -0.1, -6\/71, 1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 258992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 145126 (base 7) to base 14\nAnswer: a3bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6963*l**3*t**3 - 2251*l**3 - l**2*t**4 + 3*t wrt t.\nAnswer: -41778*l**3*t - 12*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2 (c) -2\/839 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*u - 4, 4*r = -2*u - 2 - 0. Suppose i = -4*c - 73, -7 = 2*c - i + 34. Let x be 4\/6 - c\/(-15). Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (338\/(-143))\/(144\/(-198)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let w(y) = 3857805*y. Give b(w(q)).\nAnswer: -3857805*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1811, 1810, 1817, 1838, 1879, 1946, 2045?\n\"Answer: s**3 - 2*s**2 - 2*s + 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2784 and 24?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11123*m**5 + 2*m**3*y**3 + m*y**2 + 3*m*y + 1026*m - y**3 wrt m.\nAnswer: 222460*m**3 + 12*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 183. Is 29 a factor of f*(-6 - -10 - (-2 + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -2, -8, 31 in increasing order.\nAnswer: -30, -8, -2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 115 - (-1 + 15) - ((-3 - -7) + 16)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894342 is divided by 947148?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 38.\nAnswer: 17\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 156, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0339 - 442.6139. What is h rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/i)**(5\/2) assuming i is positive.\nAnswer: i**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2 - 8. Suppose 3*c = -2*c - 5*s + 15, -p*s - 7 = -5*c. Suppose -1163 = -3*h - 5*r, 0 = 7*h - c*h + 5*r - 1925. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 98. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2682 is divided by 270?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 5*w, 2*w - 9 = j + 4*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695651 is divided by 20439.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7447019 to the nearest 100000.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 14 = 2*w - 4*t, -t = 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176331939 and 2583.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Let k = -25 - -26. Let g = 1026 + -1026.1. Which is the closest to 0.1? (a) k (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23.31058 meters?\nAnswer: 23310580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/1743 and 50\/228333.\nAnswer: 228333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and -2233.8.\nAnswer: 290.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 - -62.981.\nAnswer: 65.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - -5) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iykyfgkiyim. What is prob of sequence img?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k. What is a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, 0.9, 3\/8, -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - d. Let o = -208 - -209. Let y(l) = 0*l**2 - l**2 + 7*l**2 + 2*l + 2. Let c(i) = o*y(i) + 5*s(i). Determine c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*l - 113*l - 3. Let d be -12 + -8 - l\/2*0. Let o = d + 240. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 32 = 0. Suppose -126 = -k*y + 250. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -3 - (0 + sqrt(76)\/sqrt(4))**2 - (4*sqrt(475) + -3)**2.\nAnswer: -7631 + 122*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z - 915 = 0. What are the prime factors of z?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 19. Let n(q) = -q + 7. Let v be n(j). Let x be (-22)\/v - (-8)\/(-12). Solve -2*h = t + 5, 29 = 3*t + x*h - 8*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-72)*0\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/95013479 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18 - (23 + 8215\/(-186))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-75)\/6 + (-3)\/(1*-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*m - 22, 4*m - 7 = -2*t + 11. What is the smallest common multiple of t and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020412794 to five dps.\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 140616?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32819*f**2 + 1835629 - 1835629.\nAnswer: -32819*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + -3 + (-11 + 11 - 7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z - 8007*z**3 + 2*z + 8006*z**3.\nAnswer: -z**3 + 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366910 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2678 - 3142 + 2580 - 2033)*(s - 2*s - s + (-4*s + 2*s + 0*s)*(5 - 1 - 2)) to z + g*s and give g.\nAnswer: 31638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.813 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2375718.\nAnswer: 2, 3, 395953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from hhqrrkqhhhqrvqr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 256551644 a multiple of 7354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9458630227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 29, -7, -2.\nAnswer: -19, -7, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-276)\/(-30))\/((-2)\/(-1130))?\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*d = -31, 0 = a - 3*d + 12 + 6 - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/(-6))\/((-1)\/(-1)). Let f be 12\/k*(-4)\/3. Suppose 5*z + 43 + 61 = f*x, 5*z - 148 = -4*x. Calculate the highest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6. Let t(m) = -7. Let n(v) = -p(v) + t(v). Let i(c) = -c + 1. What is -i(a) + 2*n(a)?\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 435.2.\nAnswer: -261.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 18*r**3 - r + 5*r**3 - 25*r**3 as b*r**3 + l*r + a*r**2 + m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(20\/(-3))\/(-4). Let h be (-4)\/r*1185\/(-2). Suppose -2*j = -4*b - 0*b + h, -5*b + 594 = -3*j. What is the greatest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -3*b - 8. Let x = -26 - b. Sort x, 5, -5.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 2*h - 235 + 5*h + 4*h - 13*h - 2*h**2 as k + a*h**2 + x*h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10365470)\/(-100) + 1*(-15)\/(-50) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a - 5. Let s(d) = d + 2. Let x be s(-2). Let k(r) = x - r + 1 + 0*r. Let f(p) = -p**2 + 3*p + 5. Let o be f(5). Give o*k(q) - l(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let u be 1\/n*(-3 - -3). Suppose 3 = l - u. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - 23214?\nAnswer: -23334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h - 184500 + 111258 = -786724. Is 77 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -70. Calculate the least common multiple of 10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1394, 4\/3, 4, 0.2, 5 in ascending order.\nAnswer: 0.2, 4\/3, 4, 5, 1394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4265138188 to the power of 1\/2, to the nearest integer?\nAnswer: 65308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by -111.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 18*l**2 + 929*l - 413. What is i(-52)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 11\/15*a**5 + 7 + 7\/4*a**4 + 0*a + 1\/60*a**6 - a**2 + 0*a**3. Suppose p(u) = 0. Calculate u.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 4*o - 5*c, -5*o - 4*c = -9*c - 4605 + 4295 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*60\/168*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 86 times 2335\nAnswer: 200810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -86. Is 21 a factor of 123\/2 + t\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*a**(-5\/6))\/(a*a\/((a*a**9)\/a)*a*a**(-1\/4)\/a) assuming a is positive.\nAnswer: a**(239\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15634105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 16, f: 2}. What is prob of picking 2 a?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 5*i**2 + 19*i**3 - 16*i**2 - 17*i**3 + 28*i**2 to f*i + y + o*i**2 + v*i**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1260 + -584. Let z = 675.9833 - b. What is z rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-4\/17)\/r)\/r)\/(r**(-3)\/r) assuming r is positive.\nAnswer: r**(47\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(-4 + -3*sqrt(8)) - ((4 + -1 + sqrt(2))*-2 - 6*-1*sqrt(200)))**2.\nAnswer: 3948*sqrt(2) + 18113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**6 - p**5 - 466*p**3 + 4592*p**2?\nAnswer: -120*p**3 - 60*p**2 - 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007434695 rounded to six decimal places?\nAnswer: -0.007435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r - 5 = -h, 2*r = 2*h + 10. Let o = -3.88 - -1.88. What is the nearest to o in 1\/6, 4, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/16*(-2)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7780 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5) - (-36)\/45. Suppose -2 = -3*q + 1. Suppose -q = -2*o + 3*o. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or -65994.3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffo when four letters picked without replacement from {j: 2, f: 8, e: 1, o: 4}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1146, -1183, -1250, -1353, -1498, -1691, -1938?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/10 + 17*t**4\/6 - t**3\/6 - 7*t**2 + 26*t. Let r be c(-17). Find x, given that -r*x - 3 - 22 + 2*x**2 + 7*x + 9 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.17117 to 2 decimal places.\nAnswer: -22.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - w - 2*w - 9, 4*w = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 4 (c) -2559 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, 1\/3, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2027*d - 145926. What is b(-72)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-2)\/(-6)*2). Let b be (6 + 0 - y) + 145. Suppose -b = -5*o + o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62.2 - 243.8. Let s = f - -305.9. Is s at least 1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-1\/2)*f**(1\/3)*f*f**(1\/8) assuming f is positive.\nAnswer: f**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108, 116, 124?\n\"Answer: 8*x + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 20*z + 480. Suppose 7*b = 23*b - z. Suppose 20 = b*l + 14. What is the least common multiple of 35 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1431 - -1627. Solve -b = 5*q - 186 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.7 + -15.7. Let t = h - 81.99906. Round t to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91278, 91281, 91286, 91293, 91302, 91313?\nAnswer: 91326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1290041106.8999561 + -1290041006. Let n = f - 100.9. Round n to 6 decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 127 = -3*o, -3*o + 14*s = 18*s - 97. Differentiate 62*z**4 + o + 41 - 88 wrt z.\nAnswer: 248*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - 188. What is the common denominator of 38\/147 and -2 - (4 - j\/(-45))?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:47 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -9. Let x be ((-1)\/(-1))\/((-3)\/366*o). Let v be (-12)\/(-42) + x*(-3)\/(-21). What is the highest common factor of v and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110408*c - 64825?\nAnswer: 110408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1297736051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 3*p - 2*p**5 + (-p - 2 + 2 + 2*p**2)*(-35*p**3 - 3*p**3 - 128*p**3).\nAnswer: -334*p**5 + 166*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 319 = 106. Suppose 0 = -5*m - 26 + r. Suppose -3 + m = 2*b. Solve 12 - 3 = -b*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32520000 to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/51 in -0.5, -4\/7, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2460 + 4280. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 162462*a + 10072651. Give p(-62).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = -3. Suppose t*x = -x. Suppose -2*p - 4 = -3*p. Solve x = -p*u + 12 - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786 divided by 953?\nAnswer: 1786\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(-16*o + 69*o - 311 + 313).\nAnswer: 159*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -w + 25, -19*a + 18*a + 20 = 3*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-3*y + 4*y + y) + 2*y - 2*y + y - 2*y + 1 - 1.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29535 and 1423587.\nAnswer: 7117935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.759975 nanometers to centimeters.\nAnswer: 0.0000000759975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/8)\/5*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30839 (base 12) in base 3?\nAnswer: -10012222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 763 by 7930.\nAnswer: 763\/7930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k = 77*k + 260 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -9 - 0. Let j(d) = d**3 - 43*d**2 - 45*d + 47. Let u be j(44). What is the second derivative of 22*o**3 + 23*o**u - 20*o**b + 23*o wrt o?\nAnswer: 150*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -21*f + 2*m + 112, 2*m = -f + 28. Solve 2*p = 7*d - 3*d - f, -4 = 4*p + 5*d for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4525434871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(175\/6 - (-2)\/6). Let h = -171 - b. Solve h*i - 12 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**2 - 6*d**2)*(0 + 3*d**3 + 0) + 18*d**4 - 19*d**5 - 18*d**4.\nAnswer: -34*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 11*o**2 + 10*o + 13. What is the remainder when 99 is divided by d(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0037*-0.048\nAnswer: 0.0001776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1903\/2 - 951. Let k = -3 + 3.06. Let i = 0.24 + k. Which is the smallest value? (a) -1 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-20)\/75 + 2\/(-3). Let v(r) = -3*r**2 - 4*r - 2. Give v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21822 + 23584. What is the remainder when p is divided by 152?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 11\/59, 0.3, -3?\nAnswer: 11\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 5*f**2 - 3*f - 2. Let u = -37 - -42. Let o(b) = -4*b**3 - 9*b**2 - 5*b - 3. Give u*v(a) - 3*o(a).\nAnswer: 2*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + (15\/(-9) - (-6)\/9). Solve 2*r - 3 = -m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/148720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 6*t**5 + 860*t**4 - 8878*t**3 - 4574916*t**2 - 139429888*t - 134864704 = 0?\nAnswer: -337\/3, -52, -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2517 - j + 1260 + 1257.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -595.2 at least -14727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/4391 - -162523\/61474. Let m(s) = -s - 4. Let r be m(-5). What is the common denominator of (1\/r)\/((-140)\/1582) and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 2*g**4\/3 - 27*g. Let r(x) = 57*x**2. Determine 2*r(a) - 15*s(a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 26*h. Let a(w) = 3*w**2 + 3108*w + 3. Give a(b(l)).\nAnswer: 2028*l**2 + 80808*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 26*t\/5 + 28\/5.\nAnswer: -2*(t - 1)*(t + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3824 and 48688.\nAnswer: 11636432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872, -3488, -7846, -13946, -21788, -31372?\nAnswer: -42698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5749 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, v: 3, p: 4, l: 1, o: 2}. Give prob of sequence xx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3673 + -3674. Let l = -11 + 8. What is the closest to -1\/2 in 9, -2\/11, l, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*n = 114, 52 + 24 = 2*f - n. Suppose 0*b + b - 19 = 0. Calculate the greatest common divisor of b and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-4)\/8*6. Suppose -3*r - 3 = -x. Sort 3, r, -5.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*o - 3*r, o + 2*o + 4*r + 14 = 0. Suppose o*g - 1 = 5. What is the remainder when 4 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 39 = -7*u - 7*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 309537 and 3.\nAnswer: 309537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.2 (c) 74\/11 (d) -66 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + u + 0*u + 14771 = 14788, -6*g + 4*u - 92 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5 (c) -49\/2 (d) 0.284 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 2 - 2 + 3 + 5. Let m be s(3). Let y = 23 + m. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25386*k**4*n + 75*k*n + 15301205*n with respect to k.\nAnswer: -101544*k**3*n + 75*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 8. Let j be g(-4). Let y be j\/(-10) + 642\/(-5). Let h be y\/(-3)*750\/(-4). What is h rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 + 102*z - 367. Does 20 divide t(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369 - 569. Let k = c - -382. Let g = k + 2155\/4. Calculate the common denominator of -95\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 33.61.\nAnswer: 3.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -l - 4*g, 4*l = g - 0*g + 383. Suppose -24*o + l = -0. What is the greatest common factor of o and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 2. Let i(j) = 4*j + 1. Let u(a) = 3*i(a) + s(a). Let m(z) = -2 + 15 - 13 - 2*z. Give m(u(o)).\nAnswer: -14*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 7. Suppose -o - 7 = -4*g. Suppose -10 = -5*l - 0*b + b, 2*l - 3*b - 4 = 0. What is the highest common divisor of g and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1566 and 261.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 22, 44, 100, 202?\n\"Answer: 2*q**3 - q**2 - 11*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000059679 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11207515 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = z + 77, f = -z + 2*z + 17. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-2 - -10) - (-14 - (-4 + (138 - 8)))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30720 and 416640.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793269998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 73264, 2, -2, -3, 0 in decreasing order.\nAnswer: 73264, 4, 2, 0, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -14 (b) 5 (c) -7 (d) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35865344 to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 11*b**3 - 26*b**3 - 8*b**3)*(b - 2*b + 6*b).\nAnswer: -130*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 33902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 36. Suppose 2*n = k - 150. What is the units digit of n\/(-9) - 4\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 4. Let o = 192 + -115. Suppose -n = 4*v - 41 - 16, -4*v - 5*n = -o. Calculate the least common multiple of v and i(-4).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 59*n**2 - 850*n - 1971. What is b(-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32293096*l**2 - 2*l + 153845995 with respect to l.\nAnswer: 64586192*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-57)\/(-6)*2\/10 and -65\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*i - 459. What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 267574294?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374721 is divided by 478.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 672\/(-3)*(-7672)\/17536?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9314.354t in milligrams?\nAnswer: 9314354000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**7\/5040 - n**6\/120 - n**5\/12 + 2*n**2. Let l(v) be the third derivative of f(v). Let d be l(-8). Sort d, -5, -3.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (74 - 1) + 0 + (0 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9321894379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 372096061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*t + 2614*t = 1289*t + 13320 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -20863*h - 521548. Determine n(-25).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2221 and 5774.\nAnswer: 12824054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240468 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i**2 + 206*i - 260 = 0. Calculate i.\nAnswer: -130\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3434\/63385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14657 is divided by 624?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1111 + 0.1111. Which is smaller: -3\/1186 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*f + 25. Let g(p) = -p**3 + 6*p**2 + p - 6. What is g(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 32*a**2 + 19*a - 258. Let w be n(-17). Let d(f) = -3*f - 17. Give d(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/3 + -1 + 544\/(-6). Let a = 110 + c. Calculate the remainder when 63 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.1. Put w, -2, -1\/10 in increasing order.\nAnswer: -2, -1\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Let c(m) = -m + 5. Let w be c(z). Let o be 1 + w - (-6)\/(-3). Is -2 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 = 3. Let y be (64\/28)\/4*g. Suppose -2*v - 4*b = -y, 0 = 5*v - 2*v + 3*b - 3. Solve -5*a = d + 4*d + 15, v = 3*d - a + 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (4 - 2) - 10. Let o = i - -30. Round o to 0 dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 870*y**2 - 31*y - 28. Let c(r) = 290*r**2 - 11*r - 10. What is -17*c(s) + 6*o(s)?\nAnswer: 290*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 17 = 19 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + 21. Suppose -228 - v = -6*c. What is the remainder when c is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-18)*(-7)\/((-84)\/27)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7309028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {r: 1, v: 1, h: 1, o: 8, e: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1004700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1590, 2236, 2868, 3480, 4066?\nAnswer: 4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(595\/(-30)))\/((-10)\/12 - (-22500)\/7560).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6900515 is divided by 1182.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.6. Let s = 0.2 - -0.7. Let g = s + -1. Is q equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 12 + 47. Let n = j - 2. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 + (-4 - (-7 + 3) - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 7. Let q(l) = 10*l - 15. Let n(f) = -6*q(f) + 13*s(f). Let o be n(-1). Let g be -12*(4\/6)\/(4\/o). Which is smaller: g or 14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -302, -83984, 3 in ascending order.\nAnswer: -83984, -302, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 21076*g + g**2 + 21076*g - 6*g**2. Let p be 9\/2 + 2\/(-4). Let a(n) = -p*n - 3*n + 5*n. Give d(a(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0118 times 21\nAnswer: -0.2478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 761628.5 rounded to the nearest 10000?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 22*z**2 + 37*z - 18. What is i(-24)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 - 24235392*b - 36709639087104 = 0.\nAnswer: -3029424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83718, -83701, -83670, -83625, -83566?\nAnswer: -83493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 8047 + 7247 = 0 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 636 + 1364 = 0. Calculate the highest common factor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3442*-0.02\nAnswer: 68.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*d, -2*d + 3 = c + 2*d. List the prime factors of -3 - (-118 - (c + 0)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*t. Suppose t*k - 3 = -3*k. Let d = 231 + k. What is the remainder when d is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011001111 (base 2) in base 11?\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 223 = -2*s - 199, 0 = -y + 5*s - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**7\/42 + l**6\/12 + l**5\/12 - 4*l**2 - 8. Factor w(c).\nAnswer: 5*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-6) - ((-7)\/(-7))\/(-3)*7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -5, 177?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -1.2 (c) -1 (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 13. Let u be b(17). Solve u = -6*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240*h**4 - 6*h**3 - 8*h**2 - 41720 wrt h.\nAnswer: 960*h**3 - 18*h**2 - 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/5 (b) -4 (c) -2\/11 (d) -0.1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. What is the third derivative of p**w + 15*p**6 - 6*p**2 - 9*p**6 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u. Let p(c) be the first derivative of -8*c**5\/15 + c**4\/24 - 26*c**3\/3 + 37. Let z(x) be the third derivative of p(x). Determine z(w(g)).\nAnswer: -384*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = -3*l, l + 3 = 2. Solve 4*t = y + 3, 13 = 3*y - 2*t + a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:37 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -121*-1343\nAnswer: 162503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 1\/7 (c) -0.26 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8) + 0)*18\/27?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + -4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*u - 99*u + 79*u to l + m*u and give m.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 6565073399?\nAnswer: 6565073398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3673, 7329, 10983, 14635?\n\"Answer: -r**2 + 3659*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 1701610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2542180 is divided by 230.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:43 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p - 70. Let d be s(8). Find the second derivative of 23*w + 17*w**3 + 2*w**2 - 7*w**4 - d*w**2 - 11*w**3 wrt w.\nAnswer: -84*w**2 + 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 5*b**2 + 3*b + 9. Suppose 26 = -5*f + d, f - 4*d = -f - 14. Let t be s(f). Let k be (-33)\/(-22) + t\/(-4). Solve -k*j = -0 - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*q - 64, 0 = -2*d + 5*q - q + 40. Let v be 2\/6 + (-4)\/d. Let k = -1817\/15 - -121. Which is the second biggest value? (a) k (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.1 + -5.1. Let y = 34\/3 - 182\/15. Which is the nearest to g? (a) -1\/9 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 6, h: 5}. Give prob of sequence jqjq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19694357 + -0.01?\nAnswer: 19694356.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*f**4*q**3 - 1142*f**2*q**3 - 185899*q**3 wrt f?\nAnswer: -272*f**3*q**3 - 2284*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 60. Let p be 2\/(-9) - (-1264)\/18. Suppose 5*o - q = p, 2*q = 2*o - 0*q - 28. What is the remainder when x is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*o*s**4 - 4*h**2*o*s - 5*h**2*s + 173*h*o**2*s**2 - 10*o**2 wrt s.\nAnswer: -36*h**2*o*s**2 + 346*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(25)\/sqrt(5) + (sqrt(5) - sqrt(25)\/sqrt(5))*-4 + (-5*sqrt(125) - sqrt(125)) + -3.\nAnswer: -29*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfmsffvslflsfvfs. What is prob of sequence ls?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 22 = -162. Let u = -10277 - -10311. What is the remainder when j is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let w(q) = -4*q + 43. Let y(g) = 2*o(g) - w(g). Let c be y(7). Let t(h) = -7*h**2 - h + 1. Calculate t(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563742885 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 206*n + 6351. Calculate r(-31).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.29 rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1173\/1376 - -53\/86. What is the common denominator of m and -91\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.309 (b) -221 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 4*c. Suppose o - c*o = -4. What is the smallest common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + (15 + -8 - 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*m**4 - 176*m**2 - 49*m + 41*m + 174*m**2)*(-3*m + 3*m - m)*(-2 + 3 - 2).\nAnswer: -26*m**5 - 2*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 3*j - 7\/6*j**3 + j**2 + 0. Let v(d) = -5*d + 33. Let i(w) = -12*w + 77. Let n(o) = 3*i(o) - 7*v(o). Determine n(t(p)).\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - 47) + 16 - 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*t*w - 25*d**2*t - 573*d*t + 10*t*w - 5*t + 83676*w**2 - 2 with respect to w.\nAnswer: 3*d**2*t + 10*t + 167352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*30*84\/70\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) -3\/5 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 84 = i. Let t = i + -13. Let q(s) = 7*s**3 + 7*s**2 - 5. Let c(o) = 11*o**3 + 11*o**2 - 8. Let z = 71 + -76. Give t*q(p) + z*c(p).\nAnswer: p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vgvakqy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1808135 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-18))\/((-2)\/(1242\/(-4815))) and 29\/30?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245337 and 208305?\nAnswer: 4629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449657836 is divided by 1918.\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 212*f**4\/3 + 49*f**3 + f**2\/2 - 905*f. Find the second derivative of g(j) wrt j.\nAnswer: 1696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202121 - 21?\nAnswer: 202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 31*f**3 - 12*f**2 + 21*f - 11. Let p be r(6). Suppose 2*s - 957 = p. Suppose 4*y - s = 792. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47887 less than or equal to -47885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.30519 years to centuries.\nAnswer: 0.0730519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 24.4. Let p = -2.2 + 2.7. Which is the smallest value? (a) x (b) 3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**2\/2 + 198*a - 227. Let q be v(-28). Let w be 342\/5 + 2\/(-5). Calculate the highest common factor of q and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 13) + 10 + 18 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*y**2 + 27532*d**3*y - 2*d**2 + 3*d + 742*y**2 - 2 wrt d?\nAnswer: 12*y**2 + 165192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232022543 (base 6) in base 12?\nAnswer: -4991a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from ngjwm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314390181 to the nearest integer?\nAnswer: 17731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-2*z + 3*z - 2*z)*(0 - 2 - 4)*(-2 - 3 + 4).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1109 and 74\/74343?\nAnswer: 82446387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 13*j**2 + 2*j - 122. Let f be p(-11). Solve f*q - 108*q = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 2*f**4 + f**4 + (-3*f**3 + 6*f**3 + 0*f**3)*(47*f - 131 + 131).\nAnswer: 142*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by ((-10)\/(-5))\/(((-16)\/84)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 407 - 6543675?\nAnswer: -6543266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/36)*f)\/f**(-12)*(f*f\/(f\/f**(1\/8))*f)\/f**6 assuming f is positive.\nAnswer: f**(659\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39525 (base 12) to base 6.\nAnswer: 1403245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38822 - 3494119\/90. What is the common denominator of d and 62\/405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/(183\/(-27) + 7). Let y = -18007\/18 - -999. Find the common denominator of y and 27*q\/(2160\/66).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**7\/840 - x**6\/480 + x**5\/80 + 5*x**4\/96 + x**3\/12 + 9*x**2. Find n, given that w(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:24 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111328 and 1988?\nAnswer: 111328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*m - 22 + 56 - 21 - 15 as k*m + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 648*p + 12. Let q be n(6). Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1236 * 3\nAnswer: 0.3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 5793010659.\nAnswer: 5793010663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 133 and -0.1316?\nAnswer: -17.5028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 88233546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 9*w + 6. Calculate g(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20\/9, -170781, 0.4 in increasing order.\nAnswer: -170781, 0.4, 2, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -61.73. Let s = b - -0.06. Let v = s + 0.01. Is -3\/8 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5\/2 + 25*h**4 + 15*h**3\/2 - 80*h**2 + 50*h = 0. What is h?\nAnswer: -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4244231321 (base 5) to base 12\nAnswer: 300b0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkqqr. What is prob of picking 1 k, 1 r, and 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235401 + -235284. Suppose 0 = -k + 3*k - 162. Calculate the greatest common factor of m and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5728 divided by 6\nAnswer: -2864\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 13. Let h(l) = -l**2 - l**2 - 6*l**2 - 7 + k*l**2 - 6*l. List the prime factors of h(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 8. Let o be ((-8)\/v)\/(2\/12). Solve 4*r + o = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170674510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyxrooopypyprpppyppk. What is prob of picking 1 k, 1 p, and 1 x?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r**(4\/3)*r*r)*r*r)\/r*r)*r**(-14))\/(r\/(r*r**(1\/3))*(r\/(r\/(((r\/(r\/((r*r**(-5\/2))\/r)))\/r)\/r)))\/r) assuming r is positive.\nAnswer: r**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 1. Let b(h) = 2. Let f(v) = -b(v) - 2*d(v). Let y(k) = -2. Let s(a) = -a - 11. Let q(g) = 2*s(g) - 11*y(g). Give f(q(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + v**5 + 0*v**3 - 10*v**5 + 80 - 81 - 10*v**5 + (3*v + 4 - 4)*(-v + v - v**4).\nAnswer: -22*v**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 1915938905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109111, -109154, -109197?\nAnswer: -109240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 7*f - 8. Let a be x(-5). Let s be 6\/(a - 5) + 30526\/(-2488). Let u = s - -6\/311. What is the common denominator of -91\/4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/20 + -81 + 70.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*f. Suppose -5*z = 3*o + 293, 6*o - o = f*z + 203. What is z rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-25 - -23)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 378.09 - 378. Which is the second smallest value? (a) 4 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-219)\/292*218\/90 and -109\/624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230789 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/8 + u**3\/2 + 2*u**2. Let r(b) = b + 7. Let t be r(-3). Let i = t + -6. Determine j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:34 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25938 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 52*l - 78*l - 6 + 63*l - 20*l to the form v*l + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r*r\/((r*(r\/(((r\/r**15)\/r)\/r*r*r))\/r*r*r)\/r)*r))*r)\/((r**(4\/13)\/r)\/r))**(1\/5) assuming r is positive.\nAnswer: r**(-121\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1582*g. Let a(x) = -186*x. Let v(u) = -42*a(u) + 5*h(u). Let y(p) = p. Calculate y(v(w)).\nAnswer: -98*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u)**15*(u**(-9)\/u)**(-10\/9) assuming u is positive.\nAnswer: u**(1315\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose s*u - 3 = 2*u. Suppose 12*b - 39 + 15 = 0. Solve g + 2*c - 2 + u = 0, -b*g = 3*c + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31*w**3 + 4*w + 689 wrt w?\nAnswer: -93*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (1 - (-3 + 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(50) + 3 - sqrt(50)) + ((sqrt(50) + sqrt(100)\/sqrt(2) - sqrt(50)) + 1)**2) + (1*sqrt(4)\/sqrt(2) - ((sqrt(8))**2 + -1 + sqrt(2))) + 3.\nAnswer: 60*sqrt(2) + 314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2. Let d(s) = -s**2 - 7*s - 10. Let w(b) = -2*d(b) + 10*g(b). Let y(n) be the second derivative of -n**3\/3 + 477*n. Determine y(w(j)).\nAnswer: -4*j**2 - 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - u = 60*h - 27, 2*h = -4*u + 18. What is the smallest value in 1\/4, -1, -53, h?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9538367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 304, 1, -3, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*o + 16, -18*v + 14*v + o + 18 = 0. Sort 1, -73, -3\/2, -1\/5, v in ascending order.\nAnswer: -73, -3\/2, -1\/5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -71616?\nAnswer: -71621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 14}. What is prob of sequence ttcc?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 12*p - 54, 2 = -165*p + 163*p + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -56, 5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) -31 (c) -0.26 (d) 0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*k - 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.3 (c) -17\/10 (d) -1143\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o + 87. Suppose 0 = -7*b + 391 + o. Suppose 261 - b = 3*q. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + g + 1 + 18 = 0, -18 = 2*s + 3*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 6. Suppose -84 = -5*d + 3*g, b*g + 65 + 21 = 5*d. Suppose 66 = 4*o + d. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.145, 2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-12)*8\/3*1. Suppose x*s = t + 401, 2*s + 5*t = 115 + 280. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let z = 3.087 - y. What is z rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*i + 14, -208*i - 12 = -211*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 8:04 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2344186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c + 5825*c**3 - 11645*c**3 + 5818*c**3.\nAnswer: -2*c**3 - 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 5*y**2 + 4*y + 4. Give w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/21 + ((-1372)\/112)\/7.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 0*q**2 + 5*q**2. Let b(o) = -4*o + 6*o - 2*o + o**2. Give m(b(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((0 - 1) + -3). Suppose 5 = 4*d - u*g - 15, -4*g - 16 = 2*d. Let n(k) = -k**2 - k + 5. Let l be n(0). Solve -5 = -l*o - d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 4:24 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -530, -2160, -4890, -8726, -13674, -19740?\n\"Answer: -n**3 - 544*n**2 + 9*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 22 = -3*b, 5*i - 7*b - 28 = -4*b. Let j(s) = 2*s**3 - 7*s**2 + s + 4. What is the units digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/sqrt(396) - -6*(sqrt(11) + sqrt(704)))**2*5.\nAnswer: 5809375\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 2*p**2 - 2*p - 2. Let t(d) = -d - 9. Let v be t(-7). Calculate the smallest common multiple of (66\/(-18) - -4)*3 and z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-1\/8)\/b))\/b*b**(-6\/7))\/(b**(-2)*b\/b**0))\/((b**(-2\/7)\/b)\/b**(-3\/8))**(-7\/13) assuming b is positive.\nAnswer: b**(283\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331002211 (base 4) in base 8?\nAnswer: 750245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4*4581\/(-30)*(-375)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747 greater than -46204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((7 - 10) + 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - -5*sqrt(1224) - sqrt(306)\/(sqrt(1296) - sqrt(9)))\/(-5*-4*sqrt(50)*-4).\nAnswer: -17*sqrt(17)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4 - -2858557818.\nAnswer: 2858557822.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*s + 9, 2*s - 3*j - j + 12 = 0. Let g be 5\/60*-4*(s + -42). Suppose -6 + g = 2*b. Calculate the greatest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*g**5 + 96*g - 96*g + (1 + 5*g**3 - 1)*(-2*g**2 + g**2 + 4*g**2).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1398*h - 2564 + 131031 = 14986 for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g - 130 = 118 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3967461 to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50.48403l?\nAnswer: 50484.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -r + 8, 2*d + 2*r - 4*r + 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -1, -232, 1, 0, -5.\nAnswer: -232, -5, -1, 0, 1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/30*170\/51.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -413 - -431. Suppose 6*l - l = 15. Let r be 4\/v*l + (-133)\/(-57). Put r, 4, 2 in descending order.\nAnswer: 4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 302? (a) -0.1 (b) -0.3 (c) -9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034 less than -52345444144?\nAnswer: -52345444143.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190 + 190. Sort -5, -1, s, -4.\nAnswer: -5, -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(n + 2 - 2 + 2*n - 14*n + 0*n + (-2*n - 1 + 1)*(9 + 1 - 5) + n - n - 2*n).\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/59 (b) -23.3 (c) 1\/2 (d) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((9 - -7) + -4) - (3 - 6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/2*(12\/3)\/12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.2594 kilometers to nanometers.\nAnswer: 652259400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28701642 divided by 2393?\nAnswer: -11994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83250719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -88*k**2 - 44*k. Let y(h) = -h**2 - h. Calculate g(d) - 44*y(d).\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(1\/(-2)))\/((-40)\/(-80)). Suppose 3*n + 19 = t*u, -u - 5*n + 25 = 3. Calculate the greatest common factor of 42 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-14 - -70)*14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*-0.23.\nAnswer: -0.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 - x**2)*(-4 + 4*x**2 + 4).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 28\/12 + 17\/3. Suppose -g*z = -2*z - 32. Suppose 2*f + 4*t = 103 + 101, 4*t + z = 0. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60846601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 2, e: 1, o: 1, u: 5, i: 1}. What is prob of sequence ev?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgg when three letters picked without replacement from qlqqggqqllqlqqqq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 4) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110027, -110026, -110025, -110024, -110023, -110022?\n\"Answer: m - 110028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(75) + 3*sqrt(3)*-3 + 1)**2.\nAnswer: -68*sqrt(3) + 3469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3701570, -3701567, -3701564?\nAnswer: -3701561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 11:05 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16.7*163\nAnswer: -2722.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 361829 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from cyqag?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 465120 and 672.\nAnswer: 3255840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 - 1\/2*w**2 + 15\/4*w - 1\/4*w**3.\nAnswer: -(w - 4)*(w + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1113922558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479673.\nAnswer: 3, 223, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52700*a - 105393*a + 52696*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2589590.\nAnswer: 2, 5, 258959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 59971*24.2\nAnswer: 1451298.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - 207 - 8*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3\/112 (c) 0.33 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 407*h - 229. Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116305957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 1, s: 1, v: 5}. What is prob of picking 1 v, 1 d, and 1 s?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100032 is divided by 33100?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.277036 weeks?\nAnswer: 167551372800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74111 plus -2059?\nAnswer: 72052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 503*u + 3. Let f be 128\/12 + 1\/3. Suppose -4*b + f = -y, -7*b = -4*y - 3*b + 16. What is the remainder when y is divided by s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 - 72*w**2 + 248*w - 45. Let n be k(-21). Solve -6 = -2*v + 2*l + 6, -4*v = 5*l + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.6, -0.01, -0.7, 1\/19, -2, -4\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 93. Let i be 14\/35 - x\/(-10). Let l(f) = -44999*f**2 + 4*f. Let v be l(i). Round v to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 211076795?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-16)\/4) + -47. Let y = 43 + l. Solve y = v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.811 + -0.811. Is -2370 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -1 - 8 - (167 + -144)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1255*c**2*q**2 - 24*c*q - q**2 wrt c?\nAnswer: 2510*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t + 1. Let c(h) = 7. Let r(l) = -46 + 19 + 14 + 25. Let d(p) = 7*c(p) - 4*r(p). Calculate -d(u) + w(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 2, e: 4, x: 5}. Give prob of sequence xk.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 954121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/327978 and -95\/129054.\nAnswer: 51492546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -11. Let q = -12 - z. Solve -3*g - 15 = -6*g + q*p, p + 5 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 3*u + 9. Find the second derivative of m + 7*m + m**u + 2*m - 5*m wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 124*c - 818*c - 90.\nAnswer: -942*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/((-240)\/(-432)*(-144)\/(-56))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141608, -141561, -141488, -141377, -141216, -140993?\nAnswer: -140696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19172038601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*o - 24. Let v(g) = -g**3 + 3*g**2 + 11*g - 6. Let a be v(o). Let k be 1 - ((-48)\/10)\/(-3). Is k >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -5.9. Let h = -3 + f. Let n = -119 - -116. Put 1, n, h in decreasing order.\nAnswer: h, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 28*m**2 + 3*m - 1. Let q(v) = 24*v**2 + 2*v - 2. Let o(f) = 6*q(f) - 5*t(f). Suppose -3*r + k = 13, 4*r + 4*k = 3*r + 13. Does 19 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2522*b + 1373*b + 3 - 3 in the form p + w*b and give w.\nAnswer: 3895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 3569*k**2\/4 - 800110*k + 7128900.\nAnswer: -(k - 1780)**2*(k - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 91\/4*y**3 + 23\/2*y**2 + 0 + 11*y**4 - 1\/4*y**5 = 0.\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -48. Sort p, 1, 3\/4, -5 in decreasing order.\nAnswer: 1, 3\/4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51\/2 + -27. Which is the nearest to t? (a) 1\/7 (b) -4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**21*z*z**(1\/11) assuming z is positive.\nAnswer: z**(243\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - 4*r**2 + 5 - r**2)*(-2*r**2 - r**2 + 2*r**2) to the form a*r**2 + q + f*r**3 + b*r + g*r**4 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236471878?\nAnswer: 2, 3, 372745313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/688, -2, 0.578?\nAnswer: -1\/688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/60 - y**4\/24 - 684*y**2. Let i(z) = 2*z**2 - 2*z - 4*z + 7 + 2*z. Let o(k) = i(k) + 3*s(k). Give o(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 277. Calculate the smallest common multiple of 14 and r(-51).\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1950)\/(-8))\/(9\/480). Round z to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**10\/7560 + v**6\/720 - v**4\/4 - v**2. Let u(t) be the second derivative of c(t). Find the second derivative of u(l) wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2187*g - 572984. What is t(262)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(17\/(-170)*-20)\/(18\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 17*h**2 - 601*h - 10232. Determine l(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/328 and 117\/40?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 99391197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 11*k - 15. Let n be h(10). Let j be ((-28)\/10)\/(1\/n). Is 1*j*(-3)\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 43.7\nAnswer: 21.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u**(3\/5))\/(u**1*u**(-1\/2)) assuming u is positive.\nAnswer: u**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -158260400 to the nearest 100000.\nAnswer: -158300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 105, 241, 431, 675, 973?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 6518*f**2 - 4*f + f + 6550*f**2. Let q(v) = -3. Let y(u) = -u - 1. Let b(r) = -q(r) + 3*y(r). Calculate t(b(c)).\nAnswer: 288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 93, -1, 4\/5, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 2\/13, 71, -2\/7, -4, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 148002 - 5\/(10\/(-4)). Round j to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 15*z**2 + 8*z**2 - 2*z**2 + z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-117951)\/(-12760) + (-4)\/(-10). Let p = 6\/319 - t. Let w = 3809\/6 - 633. Calculate the common denominator of w and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {p: 9, u: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 20*d**2 - 20*d**2 - 8*d + 2*d**2 + 5 + 3. Determine g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - -1.6. Let w = -0.7 - 0.3. Let q = 6 + w. Which is the second biggest value? (a) q (b) h (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3219)\/(-111) + 16\/(-2). Solve 2*f + 19 = p - 3*f, -5*p - c = 4*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17412 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/240 + h**4\/6 + 5*h**2. Let d(k) be the second derivative of a(k). Let x(f) = 2*f**2. What is x(d(s))?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7491?\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182*c - 424*c**2 - 182*c)*(0*c - c + 0*c)*(5 - 2 - 1).\nAnswer: 848*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d - 238. Determine t(35).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/8 and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 4974\/113?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-495)*6\/2. What is the smallest value in y, -29, -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -489 + 497. Let u = 1.98 - 2. Let g = u - -1.02. Which is the nearest to 0? (a) g (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833\/(-261) + (93 - (-93002)\/(-1078)) + (-3)\/(-11)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3022 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03493394 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*l + 2*u, -63*u + 68*u + 15 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 31*g + 510. Is r(34) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*s = -1416 + 1387, -4*f + 5*s = 33 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(29*h + 4 + 41*h - 62*h).\nAnswer: 16*h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1270089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:52 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391558.\nAnswer: 2, 29, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*14\/(-364)*-18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Let d(b) = -7*b + 3. Determine -d(l) - 6*s(l).\nAnswer: l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) + 1*sqrt(588) + sqrt(192)*1)*3)\/((-5*sqrt(120)\/sqrt(3))\/(sqrt(360)*-1)).\nAnswer: 324*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2*k + 1. Let u(w) = -209*w**3 + 5*w**2 + 10*w + 4. Give 10*h(p) - 2*u(p).\nAnswer: 418*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)\/r)\/((r**(1\/6)\/r)\/r)*r**0\/(r\/(r*r\/(((r**(-1\/9)*r)\/r)\/r))) assuming r is positive.\nAnswer: r**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 426794 to the power of 1\/2, to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -2*(-155)\/(-20)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -540009 and 67753.\nAnswer: -472256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 11*j + 6. Let s be p(11). Suppose 14 = -5*k - s. Sort k, -7, -5 in increasing order.\nAnswer: -7, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9103769*-0.5.\nAnswer: 0.95518845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/104 and 67\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207\/4 + 51. Let l = 20.2852 - -0.0148. Let h = l + -20. Which is the third smallest value? (a) h (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -21 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*z - 1 + 5 = 0, 2*z + 6 = 3*a. Let x(m) = 7*m**2 + 3*m. What is the remainder when x(a) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + j = 3, 0*j + 3*j = -9. Let b(o) = -o**h + 3*o**2 - 4*o**2. Let z(g) be the second derivative of -g**3 - 703*g. What is z(b(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 30. Suppose -5*v + 5*n + 465 = 0, -g*v + 369 = -4*n - 91. What is the remainder when v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 35. Solve w - y = 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5069997 - 15\/(1 - -4). What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/60 - y**4\/8 + y**3\/2 - 6*y**2. What is the units digit of a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 times -0.06?\nAnswer: -0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/63 and -1*3272\/360 + 7.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 4*i = 8, -4*i = 3*z + 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4) + sqrt(8)\/sqrt(2))*-5)\/(-5*sqrt(14)\/sqrt(7) - sqrt(2))*2)**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2 - 13. Suppose 80*w - 141 = 99. Suppose 0 = -5*g - 2*n + 21, -w*g - n - 7 = -4*g. Solve -l - g = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j**4 - j - 1\/105*j**7 + 0 + 0*j**3 + 1\/4*j**5 - 1\/24*j**6 - 13*j**2. What is the third derivative of m(s) wrt s?\nAnswer: -48*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + l + l + 52, -5*a = -2*l + 83. What are the prime factors of 1\/3 + (-85)\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -366*x**3 - 999 - 5*x**2 + 1986 - 986 to r + z*x**2 + i*x + b*x**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2067, 11159, 27275, 50415, 80579?\n\"Answer: 3512*l**2 - 1444*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -2\/24601 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:36 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -5205?\nAnswer: -5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.011 from -9.072.\nAnswer: -9.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13067 (base 13) to base 2.\nAnswer: -1000100110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 1, -4, 2 in increasing order.\nAnswer: -7, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2\/(-8))\/((-42)\/112). Let a(u) = -10 - 2 + 2*u - s*u - u**2. Determine a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4146 - 4141. What is the nearest to 1 in v, 3, 2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29368*m**3 + 14632*m**3 + 14738*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -17. Suppose 15 = 143*f - 142*f. Let o = b + f. What is the lowest common multiple of 1 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4, -4\/3, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*u - 9249*u**2 - 1480*u**2 + 30*u - 72*u to the form o*u**2 + r*u + t and give o.\nAnswer: -10729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-4)\/412*-311. Let h = -2674787\/3499940 - 44\/8495. Let k = h - p. Which is the second biggest value? (a) -1\/2 (b) -14\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43198 + 43198.000048933. Round m to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.004558 and 0.03.\nAnswer: 0.00013674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9966588.\nAnswer: 2, 3, 830549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 3. Let w(l) = -55 + 166 - 58 - 54. Let y(v) = v + 4. Let h(r) = 2*w(r) + y(r). Determine -5*h(a) - 3*k(a).\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1404 divided by -18\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85369479 divided by 3.\nAnswer: -28456493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.32388569795+-5\nAnswer: -2.67611430205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*c + 182, c - 3*c + 80 = k. Suppose -2*u = 10 + c. Let i be (u\/9 + 2)*-165. What is the greatest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 450 = -65*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4723 is divided by 2242.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19518 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 2*s + 2. Let t be r(-2). Let n be (-13)\/(-21) - t\/(-7). Let i be 14\/(-10) - 2\/(-5). Is n smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/4)\/((-18)\/72))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417871?\nAnswer: 103, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -60. Suppose -8 = 4*t - g*t. Suppose -t*l - 4*o + 16 = 0, 4*o - 10 = -2. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 7 (c) -1\/9 (d) -0.73 (e) 0.045 (f) 0.9 (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85797276 is divided by 2199930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23668 + 996*q + 3257*q - 2*q**2 - 23668 to the form r*q**2 + w + l*q and give l.\nAnswer: 4253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 + -481. Let q = 328 + y. Put 3\/7, q, 2\/39 in decreasing order.\nAnswer: 3\/7, 2\/39, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2. Let b(h) be the first derivative of -16 + 0*h**2 + 7\/3*h**3 + 0*h. Determine v(b(o)).\nAnswer: -147*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -452684 divided by -113171\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16 + 11*n**2 + 3 - 2 + n**3 - 11*n. Let h be p(-12). What is the second derivative of 2*c**5 + 5 + 7*c - h wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6889318 to the nearest integer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(-3\/7))\/h)*h)\/(h*h*h**(-1\/5)))**(2\/61)\/(((h**5*h)\/h*h**(-2\/5))\/(((h*h**(-1\/5))\/h)\/h**(3\/2))) assuming h is positive.\nAnswer: h**(-26933\/4270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -64900 rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 66470877601.269.\nAnswer: 66470877600.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 2410 - 2476. Suppose -2*k = -4*h - 27 + 337, 5*h = -k + 370. What is the remainder when h is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/2 - 7*u**4 - 4*u**3 + 31*u**2 - 39*u\/2 = 0. Calculate u.\nAnswer: -13, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233320 + -3111023?\nAnswer: -10011003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6.6 (b) 1\/3 (c) 5 (d) -1\/3 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 16779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-3 - -7) - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/8)*z**(2\/13))**27 assuming z is positive.\nAnswer: z**(81\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weewwewwwwww. What is prob of picking 2 w and 1 e?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - a + 4*a = 8, 0 = 2*x - 4*a + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26999428?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.073 (b) -3 (c) 2 (d) -0.28 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 21*g + 9. Let z = -2675 - -2654. Calculate d(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 8. Let p(q) = q**3 - 4*q**2 - 3*q + 6. Let d be p(4). Let u be r(d). Solve 5*i - 5 = 7*s - u*s, -2*s - 16 = 5*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 - 12*m**4 - m - 3*m wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.0531\nAnswer: -0.01593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8*v - 82 = -6*v, -5*v - 25 = 0. What is the highest common factor of p and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61 or 1034?\nAnswer: 1034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 511 = -4*r. Let f = -68 + r. Suppose c = 4, 4*t = f*c - 2*c + 300. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10115509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -33 + 47 - 14 + 6*o**2. Let m(a) be the third derivative of a**5\/30 + a**2. Determine w(m(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/2, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(4\/24). Suppose 4*u + 5*o - 74 = 0, z*u = 8*u + 2*o - 84. Let c be (-12)\/(-7) + u\/56. Solve -3*g - c*f - 3*f - 6 = 0, 2*f = 3*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = 1444*q - 1443*q - 26, 3*w - 33*q = 72 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let k(c) be the second derivative of c**3 - 2*c**2 - 7*c. Let i(w) = 5*w - 3. Let q(r) = 4*i(r) - 3*k(r). Give q(p(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**2 + 4*q + 1. Let m be x(-1). What is the highest common divisor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 302093716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/16, -28, 0.5, -270 in increasing order.\nAnswer: -270, -28, 3\/16, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78, 26, 130, 234, 338, 442?\n\"Answer: 104*z - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/60 + g**4\/12 - 32*g**3\/3 + 13*g**2. Is l(-13) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-117)*264\/(-616).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 1715, -5, 5, -3, -10, 1 in descending order.\nAnswer: 1715, 5, 1, -3, -5, -10, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (4 - -10) - -14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/619, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 357 + -352. Suppose 2*n + 27 = 3*t - f, 0 = -5*t - 3*n + 47. Solve p + p + t = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1 = -4*n, 2*n = -5*i + 807 - 794 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365*19.\nAnswer: -6935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.03866 * 0.03\nAnswer: 0.0011598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1606 and 14102.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -389081 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4103 and 22?\nAnswer: 8206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*f + 8 + 5 = 0, -5*j - 166 = 3*f - 169 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*k - 2 - 31*k - 36*k)*(-5 + 3 + 1).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 30 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 686704*h**2*l - 71712*h**2 + 2*h with respect to l.\nAnswer: 686704*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*o - 311*o - 161*o.\nAnswer: -183*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4*-2 + (-700)\/(-140). Factor 0*h + 5\/4 - 5\/4*h**p.\nAnswer: -5*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502795616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 67*s + 4489\/2.\nAnswer: (s + 67)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3838\/275528*-11*12\/(-38)\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 7 (c) -266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 48 = 6*s. Suppose -18*y = -s*y - 144. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/8 - 73*g\/4 - 269247\/8 = 0. What is g?\nAnswer: -451, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 123 + -3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)\/(2\/4). Let q be (-1 + 2)\/(-1 + o). Suppose -28 = -4*j - 4*r, -3*r = -2*j - 2*r - q. Calculate the least common multiple of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/5 + 172*p**4\/15 - 214*p**3\/3 + 584*p**2\/15 + 64*p\/3 = 0?\nAnswer: -1\/3, 0, 1, 8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-19 - (-35 + 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + h - 3*h)*(-4 + 4 - 2) + (-8*h + 2*h - 7*h)*(-2 + 4 + 8) in the form q*h + r and give q.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 16*r + 161. Let v be x(-23). Let t = -0.3 + 0.5. Let d = t - 0.1. Which is the nearest to v? (a) -0.3 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + (14 - 29))\/(210\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1043 + -1563. Let l = s + 521.743. Round l to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 - -175. Suppose x - 17 = -c - 7, 0 = -d*x - 5*c + 24. Calculate the highest common divisor of 299 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181340614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 - 11) - (10 + -4 - 15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -274*k - 13121. Give i(-50).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186542 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14)*(-330)\/(-165)*(-28)\/(-808).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3014 (base 6) to base 4.\nAnswer: 22102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-18)*i)\/(i**(2\/9)*i))**38)**(6\/7) assuming i is positive.\nAnswer: i**(-12464\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357629 is divided by 393?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*u + 17, 0*u - u = 4*t - 2. Let b(w) = -2*w + 4. Let o(v) = -1. What is u*o(a) + b(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 20*k**2 + 75*k**3 + 19*k**3. Let y(z) = 93*z**3 - 18*z**2. Let q(m) = -3*x(m) + 4*y(m). Find the third derivative of q(h) wrt h.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -45\/2*d**2 - 1\/6*d**3 + 9 - 2*d. Differentiate v(x) with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**28)**6*(i**(12\/7)*i*i*i)\/i**0 assuming i is positive.\nAnswer: i**(1209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g**5 + 13*g**2 - 5*g - 5. Let h(n) = 12*n**5 - 20*n**2 + 7*n + 7. Let a(p) = 5*h(p) + 7*w(p). Find the third derivative of a(q) wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206 + 38. Suppose 2*k - 241 = 7*v - 8*v, 2*k = -2*v + s. Let c(l) = -l**3 - 4*l**2 + 5*l - 2. Calculate the remainder when k is divided by c(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Let p(v) = -4 - n + 3*v + 6 + v. What are the prime factors of p(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 - 0.09. Let x = m - -4.84. Which is the closest to 2? (a) 0.2 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -717 - -722. Solve 4*d + k - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojgd when four letters picked without replacement from gjdjogjjggefjjjjgj?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x - 2*x = 190 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8cb970 (base 14) to base 12.\nAnswer: -17332ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 134*j**6\/3 - j**3\/3 + 5*j**2 + 254. Find the third derivative of v(s) wrt s.\nAnswer: 16080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 - d**2 + 32*d + 9. Give y(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzpzffvvfffvvff. Give prob of picking 1 h and 2 f.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1616104998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let j be s + (2 - 1) - 1. Suppose 4*q = -j*w + 29, -12 - 2 = -2*q - 2*w. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*d + 23*d - 144. Suppose 0 = -2*n + 4 + 4. Suppose -12 = -n*r + 36. Calculate the highest common factor of d and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 0.08 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 45*o**2 - 2*o + 1. Give t(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1*sqrt(17) + sqrt(17))*3 + sqrt(153)\/sqrt(9) + 3 + 3) + -1)**2.\nAnswer: 52*sqrt(17) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1059765 + 1059765.2. Let x = 0.1 + 0.4. What is the closest to n in -4, 3, 46, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 836\/(-6)*(-4863)\/30799.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 4*i**2 + 9*i - 2. Give f(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -33 + 0 - (-1)\/1. Let m be (t\/10)\/(1\/(-5)). Suppose -10 - 23 = -3*o - 3*k, 4*k - 20 = -o. What is the greatest common divisor of o and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 13*l**3 + 7*l**3 + 7*l**3 - l**2 + 284. What is the units digit of w(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1492564889 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)\/(sqrt(6) - (sqrt(6) + sqrt(486))) + (sqrt(48)*-4)**2*3)*6 + 5.\nAnswer: -4*sqrt(3)\/3 + 13829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (1 - -8) - 44) + 10 + -4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*z**3 + 48*z**3 - 26*z**3)*(-2*z**2 + 3*z**2 - 2*z**2).\nAnswer: -153*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -24*n + 1. Let p(a) = -4*a**2. Give p(q(s)).\nAnswer: -2304*s**2 + 192*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 97.53693 weeks?\nAnswer: 58990335264000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -212645.820004 - -212597.82. Let a = -2490 - -2538. Let c = b + a. Round c to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75055 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/12 + 5*k**3\/6 - k**2 - 7*k. Let s be m(2). Suppose -5*p - 2*a = a - 100, s*p - 2*a - 80 = 0. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1022, -1024, -1026, -1028, -1030, -1032?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 88. Suppose 42*s = 38*s + 5*v + 3, -5 = -2*s - v. Solve s*z = -4*k + o, 14 = -z + 6*k - 3*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -508, -745?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106794 divided by 6.\nAnswer: 17799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 20) + (0 + 4 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -5, -0.5, -2, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 30870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 0*s - 5*s - 12 = 0, -3*s = -2*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-897)\/(-91) + -13)*-329\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18236059 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222497952 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-8) - 17\/(-68). Find the third derivative of -8*l**q + 3*l**4 + 2*l**2 - 10*l**4 wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x**5 + 355*x**4 - 32*x**3 - 924*x**2 = 0.\nAnswer: -77\/54, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**5\/2 + 45*q**4\/16 - 5*q**3 + 5*q**2\/2 - 34. Find p such that d(p) = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnp when three letters picked without replacement from {n: 2, p: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - -13.94. Let n = -13.9867 + g. What is n rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 697306015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a + 21. Let r(v) = 876 - 8*v - 299 - 291 - 293. Let w(o) = -4*o - 4. Let g(m) = a*w(m) + 4*r(m). Let d(l) = -10*l**2. Calculate d(g(y)).\nAnswer: -160*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*176\/(-11). Let y(w) = -w**2 - 8*w + 6. Give y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 3 = 0. Suppose -7 = -4*k - 5*x, 2*k - 2 = -2*x + 2. Put -2, h, k in decreasing order.\nAnswer: h, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/(-235)*(128 + 16*10\/(-20)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*d**2 - 148*d**2 + 259*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0.012 (c) 1\/14 (d) -1429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.631 and -11.\nAnswer: 6.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 9*r - r**2 - 2*r + 0*r - 3. Is 7 a factor of a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-5))\/((-14)\/(1540\/198)))\/((-30)\/(-2070))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a - 21 + 0*a**3 + 9*a**2 - 94\/5*a**5 + 0*a**4. Find the second derivative of r(o) wrt o.\nAnswer: -1128*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -115. Solve -3*f + 5*p + y = 2*p, 3*p + 8 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 3*y - 3. Let x be (4\/(-5))\/(4\/(-100)). Let w = x + -12. Suppose -2*j = -3*b - 2, w = -2*b + 4*j - j. Give i(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 56. Put j, -3, 5, -13 in decreasing order.\nAnswer: 5, j, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**7\/1680 + q**6\/360 - 52*q**3\/3 + 30*q. Let b(k) be the second derivative of o(k). Determine h so that b(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 - 167072*u**2 + 25717230*u - 2969883532\/3.\nAnswer: 2*(u - 250454)*(u - 77)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 82.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 472*t + 178840\/11.\nAnswer: -2*(t - 34)*(t + 2630)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -445812 divided by 582?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*d**2 + 107305*d*h**3 - 267931*h**3 + h - 6 wrt d.\nAnswer: 82*d + 107305*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*i = 3*s + 3*i - 6*i - 3, 232*i + 15 = -4*s + 231*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/76590 and -151\/828?\nAnswer: 153180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**8\/10080 + h**7\/2520 - h**6\/180 - h**5\/10 + 5*h**2. Let g(b) be the third derivative of c(b). Factor g(r).\nAnswer: 2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*i**2 + 0*i**3 + 29*i**2 + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**3 - 4 - 11*o**3 - 5*o**4 - 38223*o + 38221*o - 2*o**2 in the form v + d*o + c*o**3 + m*o**4 + j*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 48 = -4*d, -3*v - v = -5*d - 21. Suppose 4*h = v + 47. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 20357?\nAnswer: 4\/20357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2\/7, -2\/9, -3\/68, -20\/3, -1.1?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 - 1019\/5. Let t = 111 - 108. Suppose -t + 8 = -o - r, -r = 4. Does o = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0 + (1 - 4 + 2)*(3 + 1 + 2) + 1 - 1 - 1)*(-u - 2*u + 4*u) in the form z*u + h and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51411.\nAnswer: 3, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*q = -43*q - 4136. What is the highest common divisor of 1269 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6135368772 and -1?\nAnswer: 6135368771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 24 = 2*r + u, -3*r + 4*u + 192 = 0. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5847 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 30 + 11 = -3*b, -4*s - 2*b = 62. Let u = -16 - s. Let i be (18\/(-4))\/3*u. Let f(p) = p**3 - 5*p**2 + 4*p. What is f(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 - -3000?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o. Let c(q) = -5*q + 3. Let w(s) = 4*s - 2. Suppose -3*r = -5*h - 23, 2*r - h = r + 7. Let n(j) = r*w(j) + 4*c(j). Determine p(n(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-4)\/(-6)*-1. Let u be 1\/(3\/225 - 0). Suppose -p + u = a*p. Solve -2*o + 5*x = -4*o - p, -x - 23 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65485.66 litres in millilitres?\nAnswer: 65485660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 236\/(-10) - 2\/5. Let l = 87 - 52. Let p = i + l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*y - 3*i - 15, 4*y - 5*i - 25 = 0. Suppose 4*n - 1 = 79. What is the smallest common multiple of 14 and y + -1 + n + -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3210, -3216, -3226, -3240, -3258, -3280?\n\"Answer: -2*c**2 - 3208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**19)**(-50)*(b\/b**4*b*(((b**(3\/2)\/b)\/b)\/b)\/b)\/((b*b*(b**0\/b*b*b)\/b)\/b)**3 assuming b is positive.\nAnswer: b**(-1945\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, -13, -68, -179, -364, -641, -1028, -1543?\n\"Answer: -3*q**3 - q**2 + 7*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(243)*2 - sqrt(243))*6 - sqrt(243)) + 2 - (-1 + 0 + sqrt(243) - (5 + 0 + sqrt(243)))) + -1)**2.\nAnswer: 810*sqrt(3) + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9223 divide 2434780080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 2, w: 2}. What is prob of picking 2 n and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p + 2119 - 2449 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**0)\/d*d)**(-9)*d*d\/((d\/d**(-2\/15))\/d)*d\/d**(1\/4) assuming d is positive.\nAnswer: d**(-383\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 123. Let v be q(-19). Is 2\/12 + (-8872)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -31*w - 112. Let t be s(-4). What are the prime factors of -2*(-2)\/t - 5968\/(-24)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(272))**2.\nAnswer: -32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 125, 144, 179, 236?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15508763959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -51. Suppose -2*n + h + 3 = 0, 2*n - 3*h - v*h = -17. Solve b + 8 = 4*j, n*j - 3*j + 9 = 3*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324\/161 + -595855\/483. Does -1237 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*10 - (31 + -32).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**3 - 2*k**2 + 5*k - 7. Let q be (-33)\/(-7) + 34\/119. Suppose 2*u + 2 = -2, 0 = -p + q*u + 7. What are the prime factors of z(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8119456590 rounded to the nearest 100000?\nAnswer: -8119500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 - 4*t + 2. Let m be o(4). What is the first derivative of -2*g + 0*g + m*g**2 + 4 + 2*g wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*z - 19. Suppose -2*t - z*t + 30 = 0. Solve b - t*l = -14, -2*b - 2*l + 7*l = 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 13. Let b be p(-5). Suppose -6*x = -b*x + 30. Solve d = 5*n + 13, x*d + 3 = 2*n + 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 4*s**2 + 33*s - 48. Calculate u(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -193, -301, -409, -517?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-2 - (-192)\/90)*-5. Solve 0 = i*f + 1 + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.058 (b) 2 (c) 5 (d) -6\/65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*j**2 - 11899 + 23800 - 11901.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 972 - 274 - 300*t**3 - 431.\nAnswer: -300*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 600, -2, -1, -33 in decreasing order.\nAnswer: 600, -1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/6*138\/46. What is the tens digit of 6\/10 + (-96)\/l + 605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsd when three letters picked without replacement from ddlstdwlwldtlwsawdd.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079727 to six decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u - 6*u)*(1 - 3*u - 19*u - 4*u) to n*u + o + x*u**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t*x**2 + 3665*t + 2408*x**2 - x wrt t.\nAnswer: 2*x**2 + 3665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 107818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/10)\/((-2)\/(-30)). Factor 2*a**4 + a**2 - 8 - n*a**2 + 10*a**3 - 22*a**3 - 24*a - 4*a**4.\nAnswer: -2*(a + 1)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 78, 55, 14, -51, -146, -277, -450?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Suppose 6*z - 30 = -u*z. Solve h + 4*h = z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6.08, 3, 896\/15 in increasing order.\nAnswer: 2, 3, 6.08, 896\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12583, -17\/4, 0.4 in ascending order.\nAnswer: -17\/4, 0.4, 12583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtg. What is prob of picking 1 g and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3837*n**2 + 49*n - 10254848 with respect to n.\nAnswer: 7674*n + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 31*w + 6 = 0. Suppose 64 = w*u + u. Let c = u + -11. Solve -v - 3*q + 1 = -c, 5*q - 17 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6392 - -6406. What is the remainder when 22313 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, 548, -1, -2 in decreasing order.\nAnswer: 548, -0.2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5104130393.\nAnswer: 47, 3719, 29201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by 48\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*i + 20, -5*g + 4*i - 90 + 22 = 0. Let k be (4\/g)\/((-1)\/6). Suppose 73 = k*v - 35. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**4 + 2*u**4 - 12*u**4 + u**4 - 2 + 2 + (-1 + 3*u + 1)*(0*u**3 + u**3 - 3*u**3).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, k: 10}. What is prob of picking 2 e and 2 k?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/24 + -4 + (-889)\/210*-1. Let j = -2 - -3. Is m smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266657*j*k**2 - 25268*j*k + 25*k**2 + 17*k wrt k.\nAnswer: -533314*j + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21431 (base 8) in base 15?\nAnswer: 29e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49873887 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffu when three letters picked without replacement from ttuuttutuffuttt?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**3 + 0*s**3 - s**3)*(2*s**2 + 0 + 0 + (4 - 4 + 2)*(0*s**2 + 0*s**2 + s**2) - s**2 - 3 + 3 + 3*s - 4*s + 1827 - 153*s**2 - 1830).\nAnswer: -900*s**5 - 6*s**4 - 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 7*j - 22. Let z be m(9). Let h be (-6)\/z*30\/15 + 6299997. What is h rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 35*w - 11. Let f(n) = 105*n - 33. Let i(k) = 2*f(k) - 7*l(k). Suppose 4*x + 8 = 3*x. Is i(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041483 to five decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 40*n**2 - 40*n + 61. Let a be x(-41). Let c be 4*(7 + a\/(-8)). Solve 3*z = 6, 5*s - c = -4*z - 0*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 416*f - 20919. What is k(42)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -429.331 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*v, -10*v + 26 = -x - 15*v. Which is smaller: x or -8\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffjtljftjjjfjtf. Give prob of picking 1 j and 1 l.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from xxuzx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1562*m + 11497*m + 3514*m - 2.\nAnswer: 13449*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a + 141. What is the hundreds digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4877 times -0.03\nAnswer: 146.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 6*c + 0*c. Let r(x) = x**2. What is v(r(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -127)\/10 + (14 - 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooj. What is prob of picking 1 j and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 - 2901 - 12180 - 12589 = -374*p for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1280)\/(-8320))\/(9\/(-13)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 4*h. Let s be (2\/(-3))\/((-6)\/(-18)). Let o be b(s). Solve -o*i - i + 40 = 5*g, 3*g - i - 4 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/8 + m**3\/6 + 2*m**2. Let x = -499 - -549. Suppose x*y = 17*y - 33. Determine j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 4003, 5 in descending order.\nAnswer: 4003, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2929, 0.3, 0.1, -1\/5, 0, -3\/5 in decreasing order.\nAnswer: 0.3, 0.1, 0, -1\/5, -3\/5, -2929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*a**3 + 75*a**2 + 20*a - 12.\nAnswer: -(5*a - 3)*(5*a - 2)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + (32 + -62 - -19) + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2)*-2 + sqrt(2) + (sqrt(10)\/(sqrt(50)\/sqrt(10)) - sqrt(2)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -5. Suppose -5*f = 3*j - 3, -5*j - 7 = 5*f - 2. Let u = 375 - 374. What is the nearest to u in 1\/4, j, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118091348?\nAnswer: 2, 809, 36493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 65. Factor -8*o**3 + 2*o**4 + 2*o**4 - 2*o + v*o**3 + 4 - 6*o**2 - 2*o**4.\nAnswer: 2*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -11, 137, 455, 991, 1793?\nAnswer: 2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9120 and 17460.\nAnswer: 2653920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005637432 to four dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(-330) + 1\/((-22)\/(-62)). Suppose 351*w = 335*w + 80. Solve -i - j*d = -15, 0 = -w*i + 3*d - d + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 67617981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 395 = -99. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*z**3 - 712*z**3 - 4102 + 4102 - 641*z**3.\nAnswer: -1058*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -55613 times 0.34\nAnswer: -18908.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {r: 5, x: 3, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-3) - (4 - 7). Suppose -11 = -d*q + q. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27e (base 16) in base 14?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/((-2156)\/(-42)))\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133\/1884 + -2\/157. Let s = -0.181 - 0.019. Let r = -1.386 + 1.186. What is the closest to r in -3, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*s - 4 = 0, -5*s + 2*s + 13 = 4*z. Sort z, 3, 7, 5 in ascending order.\nAnswer: 3, z, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.916 + -3.8401. Round z to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.2\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323 - 123301?\nAnswer: -122312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 10. Let i(r) = 3*r + 8. Let w(m) = 5*i(m) - 4*u(m). Let a(v) = -79*v**2 + 3. Determine a(w(p)).\nAnswer: -79*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -1.1. Let a = 1 + s. Let m = a - -4.4. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 54 - 80 - 71*y - 124. List the prime factors of z(-19).\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25465 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35081821829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + m**2 + 2*m**2 + 5 - 2*m**2. Let b be k(7). Suppose -2*d - 8 = -0*d, -3*u = 3*d + 3. Solve -u*n - n - b = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 18*g**2 + 35*g - 3. Let t be k(6). Does 19 divide (33008\/56 - t\/(-21))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*j**2 + 21*j**2 + 24*j**2 in the form r + g*j + v*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/8*(1 - -2) + 509. Which is bigger: u or -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -26, -34, -42, -50, -58?\n\"Answer: -8*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 15 - 2 - 5*b**2 - 2*b - b**2. What is the units digit of v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let d be y(-4). Let a be (3\/6)\/((-4)\/d). Let j(u) = u**2 - u + 1. Let l(q) = -14*q**2 + 12*q - 12. Give a*l(w) + 12*j(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -3, 11, 0.1, 7 in decreasing order.\nAnswer: 11, 7, 1\/8, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033323886.\nAnswer: 2, 11, 43, 2149391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 41, 80, 131, 194, 269?\n\"Answer: 6*a**2 + 9*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95479 (base 16) to base 6.\nAnswer: 21034441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 489?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 w, and 1 r when four letters picked without replacement from rnnrrnwiwwwkmww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)*1 + sqrt(110))\/(sqrt(10) - sqrt(160)*3).\nAnswer: -3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9753, -1\/39, 76, -4?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 7)*-1*3. Let q = y + -1. What is the second derivative of -8*f - 5*f**3 - q*f**3 + 3*f - f**3 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 621060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 = -4*a + 14, -8 = -2*r. Let h be ((-2)\/a)\/((-5)\/75). Let o be 8\/h*117\/52. Solve 0 = -0*j + o*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**3 - 64*u**2 - 8*u - 4. Calculate n(8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (570\/(-3515))\/(30\/(-3330)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2baee (base 15) in base 9?\nAnswer: 234178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -1.298.\nAnswer: 0.0649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-12)*9*(-5116)\/6. Suppose 6*f - 2211 - z = 0. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 488, 1008, 1560, 2162, 2832, 3588, 4448?\n\"Answer: 3*l**3 - 2*l**2 + 505*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/3 - 1058*i**2 - 419232*i + 1260872\/3 = 0.\nAnswer: -794, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3241 - 2236. Let u = -508 + q. List the prime factors of u.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.445 + -0.688. Let i = p + 0.386. Round i to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7991, 7975, 7959, 7943, 7927, 7911?\nAnswer: 7895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c33 - -3?\nAnswer: 2c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*z**4 - 9*z**2 - 1083*z wrt z?\nAnswer: -228*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 minus -0.5612?\nAnswer: -2.9388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778456087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 - j**4 - 2*j**4 + (-1 + 313234*j**2 + 0 - 313515*j**2)*(0*j + j**2 + 0*j) as v + y*j**2 + g*j**3 + b*j + t*j**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 8. Let x(y) = -y + 15. Let c = -15493 - -15504. Suppose 3*r = 27 - 9. What is c*m(v) + r*x(v)?\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2) - 2)\/(11\/5214). Let j = -110 - g. What are the prime factors of j?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736.894 times 0.2?\nAnswer: 347.3788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1675136833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/360 - y**5\/40 - y**4\/8 - 76*y**3\/3 - 41*y**2. Let x(k) be the first derivative of u(k). Calculate x(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339 - -343. Suppose -2*q + 0*q = -k - 3, 2*q + k - 1 = 0. Put q, m, -2 in ascending order.\nAnswer: -2, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2*y**5\/5 + 5*y**4\/2 + 14*y**3\/3 + 3*y**2 - 4. Solve m(h) = 0 for h.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62, -2, -1\/4?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let i be (-2)\/2 - 1\/v. Suppose i = 2*b + 10, 7*x = 4*x - 5*b - 7. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/340*(-75)\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 1109 = 1200 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13)**(1\/15)*(a**0\/a)**(-35) assuming a is positive.\nAnswer: a**(538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*d + 3)*(197*d - 15*d - 38*d)*(-d**3 + d**2 - d**2).\nAnswer: 288*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -3*v + 213, -1715239 = 2*d + 3*v - 1715117 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1068852, -2137703, -3206554?\n\"Answer: -1068851*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) -1\/2 (c) 4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/17 + 468412*d**3\/17 - 75917736*d**2\/17 + 4100187600*d\/17 - 73809045504\/17 = 0. Calculate d.\nAnswer: -234368, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1755613 and -6.\nAnswer: 1755607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/275 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 16 + 10 + 28*h.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 57 = 4*n - 3*l, -n = 2*l - 16. Let w(r) = n*r - 24*r + 1 - 1. Let x(f) = -2*f**2. What is w(x(k))?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -7. Let f(k) = 20*k + 90. What is the lowest common multiple of f(-4) and (48\/q - -4)*10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from eibjebeyjj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 4*p**3\/3 - 4. Let k(l) = -l + 3. Let i(t) = -t + 4. Let q(h) = -3*i(h) + 4*k(h). Determine q(z(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -17. Let q = -4 + -34. Let b be t\/9 - q\/30. What is the second biggest value in -1\/2, b, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2186884620187 and -0.064.\nAnswer: 2186884620186.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d + 8425 = -279*d + 30*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 431261 and 5070457?\nAnswer: 4187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 10*g**2 - 2*g - 13. Let s = 13 - 23. Let u be h(s). Let c(d) = -5*d + 4*d + u*d. Let p(l) = -l**2. What is p(c(v))?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/105 - (-158)\/(-10). Let t be 8\/y + 71\/2. Suppose -4*f + t + 41 = 5*a, 4*f + 4*a = 72. Calculate the least common multiple of 24 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 27*g - 790. Let u(z) = -4*z**2 + 66*z - 1579. Determine -5*s(i) + 2*u(i).\nAnswer: 2*i**2 - 3*i + 792","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 281 - 143. What is the smallest common multiple of 12 and o?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4097 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9375*g**3\/2 - 7800*g**2 + 3990*g - 648.\nAnswer: 3*(5*g - 2)**2*(125*g - 108)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5821 - 981 = 11*c. Suppose c = -21*d + 26*d. Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6580)\/80)\/(-47))\/((-2)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 10*v + 126525. Is (4\/4)\/(5*(-5)\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 21*s + 153. Let k be x(-7). Let f = k - 203. Is 48 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/7, -3, -1167569?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Suppose -2*n + t*y + 0*y = 4, 10 = 4*n - y. What is the lowest common multiple of 5 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(1 + (sqrt(108))**2)*2*2 + -3.\nAnswer: -8723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2 + 21*m + 4 - 3. Calculate the least common multiple of 18 and l(1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 277, 635, 1167, 1891, 2825, 3987?\nAnswer: 5395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -61, -1.\nAnswer: -61, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8797 - -8796.9. Let x = 2 + -1.95. What is the closest to -3 in x, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37596 divided by -6?\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0272482 + -64.0722368. Let f = a - -64.1. Round f to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Let a = -2 + k. What is the units digit of 5 - (a + 1 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s*x**3 + 22*s*x - 121*s + 2*x**2 + 9 wrt x?\nAnswer: 3*s*x**2 + 22*s + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003972842166 to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 16 = 0. Let b(h) = -h**2 + 9*h - 4. Calculate the smallest common multiple of 14 and b(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 21\/8 (c) -2\/5 (d) -84 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*u**3 + 75*u**2 + 15*u + 1.\nAnswer: (5*u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 496d264?\nAnswer: 496d265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.02, 4, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - n - 1. Let s(m) = -m**2 - 4*m + 1. Let u(f) = -s(f) + t(f). Does 6 divide u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from 0.46689178.\nAnswer: 7.46689178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 6*o**2 - o - 1. Let l be a(6). Let w be 0 - 1 - -915 - 0. Is w\/14 + 2\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 144 = -0*q. Let w = 854472 + -854256. What is the lowest common multiple of w and q?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8271 - -9090. What is the remainder when q is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9\/18 + 86\/4 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/7))\/(r\/r**(-1\/4))*(r\/((r\/(r*(r*r**(-1))\/r))\/r))**(1\/4))\/((r\/(r*r**(1\/2)*r*r))\/(r\/((r*r**(-1\/9)\/r)\/r)))**(2\/63) assuming r is positive.\nAnswer: r**(-160\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5.2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 11, f: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 14*l**2)*(47 + 12 - 3).\nAnswer: -784*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 871354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3276 + 3278. Factor 44\/7*q**x + 4\/7 + 30\/7*q.\nAnswer: 2*(2*q + 1)*(11*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**4 + 2*i**4 - i**4 + (-8*i**2 - 7*i**2 + 6*i**2)*(-4*i**2 + 4*i**2 - i**2) to j*i**3 + u*i**2 + n*i**4 + m + v*i and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-5 - 0) + -4 + 31 + -6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2538, 2, 0 in ascending order.\nAnswer: -4, 0, 2, 2538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 1. Let g = j - 9.1. Let x = -23567 + 212099\/9. Which is the third biggest value? (a) -0.31 (b) x (c) g (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k - 74. What is i(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 202 - 204. Suppose o - 10 = -3*p, -15 = p - r*o - 23. Solve -2*t = -p*j - 14, j - 2*t - 3*t + 26 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 32, 57, 88?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 3*c**5\/20 - c**2\/2 - 17. Let k(u) be the second derivative of w(u). Let a(l) = l**2. What is k(a(z))?\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + c**2 + 5*c + 4. Suppose -36*l = 9*l - 5175. Suppose -30 = 125*v - l*v. Determine m(v).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4560695, -4560701, -4560707?\n\"Answer: -6*r - 4560689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, -5, 1.\nAnswer: -217, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -7*w + 36. Let g(u) = 23*u**2 - 3*u + 2. Let t be g(w). Suppose -2*j = 2*j - t. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -3, 0, 7, 18?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 25*a + 30. List the prime factors of j(28).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 3*v, -5*a + 14 + 6 = v. Sort -3, v, 5, -2.\nAnswer: -3, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14251.\nAnswer: 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1622969\/69 - -23522. What is the common denominator of 7\/81 and u?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-16)\/(-60)*-6\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -2\/5, 1, 2\/17, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -t - 17, -3*v + 53 = 2*t + 48 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.083*27162\nAnswer: 2254.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -90398*q**3 - 3*q**2 + 2*q - 9. Let x be g(-4). Let j = x + -2985407. Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*z = 4 - 45, 0 = -u + 3*z + 51. Let x = 72 - u. Let t(m) = -m**3 + 7*m**2 + 10*m - 13. What is the tens digit of t(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 11. Let z(v) = 2031*v**3 + 5*v + 4. Let u be z(b). Round u to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6*p + 2*p = 5*p, 5*p = 3*j. Solve 2\/11*d + 6\/11*d**4 - 4\/11*d**5 + j + 2\/11*d**3 - 6\/11*d**2 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1\/7 (b) 1 (c) -2\/3 (d) 11\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*y, 0*y + 2*y = -3*g - 40. Let f be g\/45 + (-94)\/(-18). Let r = -12 - -20. Solve -4*k + f*p - r = 0, -p = -6*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-75)\/(-10) + -9)\/(3\/(-4)). Let w be (2\/((v\/3)\/1))\/1. Let f(s) = 9*s - 4. What is f(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5942 in decreasing order.\nAnswer: 3, -2, -5942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amqaquaaqjab. What is prob of picking 2 a?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21300*i**3 + 10676*i**3 + 10620*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 671.782 + 0.218. Let n = 677.54 - b. Round n to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 69*g - 131. Let q be v(2). Solve n + q = 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 1. Let f be 5 - 1 - (-1 - -3). Let w be l(f). Let n = w - 14. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1536 = 2*c + 4*h, 2897 = 4*c + h - 168. Suppose -2*w + 3*x + c = 3*w, -778 = -5*w - x. Let v = w - 6. Does 38 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 6*o + 4. Let c be x(-4). Let w(n) = n**3 + 5*n**2 + 4*n. Let y be w(c). Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 649047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221\/42 - 31\/7. Let j(d) = 10*d + 7 - 4*d**3 + 5*d**3 + 10*d**2 + 0*d**3. Let y be j(-9). What is the second biggest value in l, 2, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 1 + 1 + 2 - 6 + (0 - 2 + 3)*(-2 + 1 + 0))*(3*j + 3*j + 5*j)*(-2 - 2 + 5)*(1 - 3 - 5) to the form w*j + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.93 + -38.93. Suppose 5384*r + 4*s = 5385*r + 5, -r = 2*s - 1. What is the closest to 2 in r, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5421*y**2. Let z(n) = 323*n**2. Determine z(k(v)).\nAnswer: 9492078843*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 28 = -48*z + 49*z, 0 = z - l - 10 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 128.06. Let c = 1.861 + v. What is c rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2*u - 17 - 6.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-32834617.\nAnswer: 9850385.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 32807*y - 623688. What is c(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-2)\/(-4) - (-664)\/(-16)). Calculate the highest common divisor of m and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 32*g + 37 + 40*g + 39*g - 105*g. Give m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p - 7. Let r be q(-5). Find the second derivative of -2*a**4 + 3*a**2 + r*a - 3*a**2 wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 985788110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79885708 to the power of 1\/2, to the nearest integer?\nAnswer: 8938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9331069, 18662137, 27993205, 37324273, 46655341?\nAnswer: 55986409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661316149?\nAnswer: 13, 31, 227, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -2. Suppose -d + 2*d + 4*x + 5 = 0, x = d - l. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**2 + 2*s**2 + 3*s**2. Let m(q) be the second derivative of 0 + 1\/6*q**3 + 0*q**2 + 4*q. What is m(z(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 - (3 - 0) - (-20 + 25))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 676440396 a multiple of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10)*(-20)\/(-4). Let v(h) = -h**2 + 1. Let l be v(-1). Suppose k*r + r - 54 = l. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -13, 5\/3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*t**2*v + 1253*t**2 - 811*t*v - t + v + 46 wrt v.\nAnswer: 99*t**2 - 811*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*r = -3, -3*d = -d - 4*r + 4. Suppose d = 3*c + 2*c + 10. What is the smallest common multiple of c\/(1 - -1)*(-30)\/6 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h + 3. Let a(n) = 3*n + 2. Let x(b) = -b**3 - 5*b**2 + b - 3. Let p be x(-5). Let l(g) = g - 12. Let c be l(17). What is c*w(j) + p*a(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50244445 + 5?\nAnswer: 50244454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1628\nAnswer: -1\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 125022215 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, r: 2}. Give prob of sequence vv.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020514468 to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31867449 to the power of 1\/2, to the nearest integer?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26\/87 (b) -7\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-334)\/(-6) - (3 - (-7)\/(-3)). Suppose h - 4*z = 15, 28 = 3*h + 3*z + 2*z. What is the greatest common divisor of h and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4495*l**5 - 55*l**3 - 105*l**2 + 93578713*l.\nAnswer: -89900*l**3 - 330*l - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 9*r - 2. Let z be d(-8). What is the highest common factor of 66 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1657?\nAnswer: -165c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 92*z = 888 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 755996440 to the power of 1\/3, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.4+0.1398481076517\nAnswer: 2.5398481076517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l + 3*l. Let n(r) = 16*r**3 + 4*r**2 + 17*r + 21. Is n(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.081 + 3.081006315. What is i rounded to seven dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 + 14cae?\nAnswer: 14ce1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 7:16 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 2. What is the lowest common multiple of (2*4)\/(1\/1) and (-3)\/m*22\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**(-36)\/(h**4\/((h*h\/h**(-3)*h*h)\/h)) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*g**2 + 195*g**2 - 508*g**2 + 197*g**2 + 2 - 2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 89 = w, 3*j - 187 = 7*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -439 + 442. Solve -q - g = y*q - 9, q = 2*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1\/2, -1\/15 in ascending order.\nAnswer: -4, -2, -1\/2, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002365 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12482 and 1?\nAnswer: -12482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z**2 - 11*z. Suppose -2*u - 4 - 18 = 0. Let s(n) = -7*n**2 - 6*n. Let k(q) = u*s(q) + 6*y(q). Factor k(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v = -46*v - 22. Suppose 0 = 5*d + t - 192, 3*t = 5*d + t - 201. Put d, v, 2 in descending order.\nAnswer: d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*g - 22 = 0, 3*j + 3*g = -0*j - 18. Let f = 11 + j. Factor -8*b**2 - 4*b - 1 - 3 + 14*b + 2*b**f.\nAnswer: 2*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s**2 + 24*s - 10. Suppose -3*u - 5 = 2*c, -18*u - 2*c = -17*u - 1. Let w(a) = -2*a**2 - 5*a + 2. Give u*y(b) - 14*w(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(7\/(-28)). Suppose 1 + 5 = z*n. Suppose n*b - 560 = d, 780 = 4*b + 2*d + 30. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 65.67 and 56451661.2?\nAnswer: 56451595.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27838070 and 65.\nAnswer: 27838070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1957610*b + 3915217*b - 1957607*b + 385*b**3.\nAnswer: 385*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((4 - 4) + 3\/(-27))*-6. Sort 0, 0.2, s, -3 in descending order.\nAnswer: s, 0.2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 27*q + 106. Let c be l(-21). Let m = -6766\/347 + -1\/694. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488889 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9\/20)\/((-30)\/(-50))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k**2 - 1. What is the least common multiple of 1 and c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, -4 in decreasing order.\nAnswer: -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -391*f + 25. Let z(g) = 194*g - 11. Calculate 3*t(x) + 7*z(x).\nAnswer: 185*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 211\/2 + (-10 - 46\/(-4))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27032.18116 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36746533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5784 and 636963?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134311 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.1 - 64.1. Do 0.2 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**4)\/(i\/i**(-1\/21)))\/(i**(-20)*i)**20 assuming i is positive.\nAnswer: i**(8063\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/140)\/((-97)\/(-12) - 8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:47 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - (3*sqrt(228)*-3 + sqrt(228)))) + sqrt(228) - -1*-1*sqrt(228))\/(-1*4*-2*sqrt(12)*2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12162*f + 6082*f + 6078*f - 4.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -182703 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18111 + -18078. What is the remainder when 1285 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/147*25\/30*(-21)\/(-20)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 15*f - 10*f - 6 to o*f + n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 1. Let b be (-24)\/(6\/2)*-1. Suppose b = -3*k - 1. What is u(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x. Let o(u) = 0*u - 3*u + 2*u. Give o(g(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:25 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (265\/(-159))\/((-180)\/(-81)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09316756899 rounded to five dps?\nAnswer: -0.09317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-6)*(-2068)\/(-5544)*56\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21135843?\nAnswer: 3, 37, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -78. Let x = o - 22. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131086760 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 190338 divided by 6?\nAnswer: 31723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 1.45. Is s at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78108, -75064, -72020, -68976, -65932?\nAnswer: -62888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5425881469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13755 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/6 - 419*r\/6 + 208 = 0.\nAnswer: 3, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362406 and 56202?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:08 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 15. Let q(z) = -2*z + 4 + 3*z + 3*z. What is the remainder when q(6) is divided by v(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4582 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 486 + -3378\/7. Factor z*u + 10\/7*u**2 + 8\/7.\nAnswer: 2*(u + 2)*(5*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 + 35*p**2 + 24*p - 3. Let g(b) = 3*b**3 + 23*b**2 + 15*b - 2. Let y(u) = 8*g(u) - 5*x(u). Give y(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (30 + -11 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**5\/9 - 1482*s**4 + 26698*s**3\/9 + 31126*s**2\/3 - 106760*s\/9 - 53368\/3 = 0.\nAnswer: -6671, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 3 - 6)*(-3*j + 2*j + 0*j + (-4 + 6 + 0)*(-j + 6*j - 3*j))*(-4 - 2 + 4) as n*j + v and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cycy when four letters picked without replacement from cayyyacayaycyc.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/467 + -4173\/934. What is the nearest to q in 2, -3, -0.01, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3722944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from kokkn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1047, -6024, -11001, -15978?\n\"Answer: -4977*l + 3930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (32\/40)\/(2\/5) - -248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9889 (base 12) in base 10?\nAnswer: 16809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 777694441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -192, 0.9, 1, -0.2, -3, 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/51766 and 21\/91192868.\nAnswer: 1003121548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -448*h**5\/5 - 5*h**2\/2 - 7*h - 224. What is the second derivative of d(g) wrt g?\nAnswer: -5376*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((5 - (4 - (6 - 7))) + 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54, -100, -132, -144, -130, -84?\n\"Answer: s**3 + s**2 - 56*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 5*g + 5*g + 2*g - 5*g + g + (4*g - g - 2*g)*(-5 + 2 + 1) - 4 + 4 - 2*g + 80*g - 91*g - 36*g - 149*g to the form r*g + s and give r.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -142\/231 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 841073016 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 450 - 450.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 4*k + 8. Let x be d(6). Calculate the greatest common factor of x and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {e: 7, x: 4, y: 2, v: 2, t: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-248))\/((-369)\/492))\/1?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3*z + 0*z)*(-47*z + 39*z + 29*z).\nAnswer: 63*z**2 + 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by 22?\nAnswer: 205\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let o(f) = -f - 4. Let p be o(-4). Suppose 0 = 5*v - 5*m - 10, 2*v = -p*v - 2*m. Let t(s) = -1 + 2 + 2*s**2 - v. Calculate n(t(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 304352356?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 14. Suppose 0*g - 55 = 3*g - q, -y*g + 5*q = 75. Suppose 18*m - 17*m = 8*m + 140. Do g and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 = 4*n, -21*n = -22*n - 3. Let g = 2 - -2. Suppose -g*z - z + 25 = -2*o, -16 = -3*z + o. Solve z*t = w*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from {s: 1, r: 2, t: 1, a: 1, x: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2. Let b(o) = 1435*o. Determine f(b(u)).\nAnswer: 10296125*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*x + 3225 - 3256 = 0, 0 = -h - 23*x - 73 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/6)\/a**(-1\/2)*(a\/(a\/(a*a\/(a\/a**(-5)))))\/(a*a**(-6))*(a**(2\/7)*a*a)**(-6\/17)\/(a**(-1\/3)\/(a*a**(-2\/21))) assuming a is positive.\nAnswer: a**(107\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h**2 - 40*h + 46. Let p(j) = 16*j**2 + 40*j - 44. Let x(b) = 3*p(b) + 2*q(b). Let r be x(1). Solve -5*u - r + 5 = 4*w, -4*w + 26 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/7 - 20*c**3\/7 - 4*c**2 - 12*c\/7.\nAnswer: -4*c*(c + 1)**2*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3441.165 + 3448.565205. Let h = -7.4 + d. Round h to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 12. What is m(13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*z - 13011 = 1018, 0 = -2*t - 3*z + 9353. Suppose 43*r + t = 68*r. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 870 (base 13) to base 8\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmc when three letters picked without replacement from {c: 2, k: 1, f: 2, m: 4, l: 1, e: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 25. Suppose -h + 25 = -6*h. Let p = h + -1. Which is the third biggest value? (a) k (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0080653606 rounded to 5 dps?\nAnswer: -0.00807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l**2 - 2*l + 1. Let h = 16 - 72. Let m be (4\/(-7))\/((-16)\/h). List the prime factors of t(m).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4102 + -241.\nAnswer: -4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 15. Let s = l + 84. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*6 - sqrt(110)\/(sqrt(10) - sqrt(1210))) + 1)**2.\nAnswer: 301*sqrt(11)\/5 + 996711\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n - 5. What is the units digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10244303 (base 5) to base 3\nAnswer: -11102222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 888\/66 - 6\/(-11). Let c be s + -8 + 8\/(-2). Factor -5\/2*r**c + 0*r + 0 + 5\/2*r**3.\nAnswer: 5*r**2*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) -7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 5*r - 23, -2*r - r + 15 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*o**3 + 0*o - 282*o**3 + 0*o - 824*o**3.\nAnswer: -1867*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1191857*y - y**4 - 1267*y**2 - 1191857*y + 4777 wrt y.\nAnswer: -4*y**3 - 2534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003001222 (base 4) to base 5.\nAnswer: 114133212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 52. Let r = b + -9. Calculate the smallest common multiple of ((-6)\/15)\/((-2)\/20) and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 8*c - 7. Let l = 29 - 21. Let f = l - 15. What is t(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-12))\/(116\/40 - 3). Suppose 3*a + 141 = l*s + 6*a, 45 = s - 5*a. Is (s\/24)\/((-1)\/(-652)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 225940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29541 is divided by 600?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 67. What is the closest to -0.2 in 2\/11, a, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let p be -2 - ((-129)\/18 + 5). Let h(q) be the second derivative of 0 + 0*q**2 - p*q**3 - q. Calculate b(h(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.061 + 71.061. Let k = 68 - p. Which is the nearest to -0.1? (a) -2\/9 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119422166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019842 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a - 8. Let o(h) = 13*h - 7. Let k(j) = 3*o(j) - 2*r(j). Let u(z) = -17*z + 11. Let d(f) = 9*k(f) + 4*u(f). Give d(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11191*t - 16580*t + 5389*t - 14*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didiqdedqjeidedeqd. What is prob of sequence qiq?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 86558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqgq when four letters picked without replacement from {g: 2, o: 5, q: 6}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1548204*o + 6192828*o - 1548192*o - 1548197*o - 1548201*o.\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12686211*j**2*k**2*m - 2*j**2*k*m - 2*j*k*m + 2*j*k + j*m - 2*j + 36356*k*m + 2*k wrt k?\nAnswer: -25372422*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:44 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 16465*u - 32950.\nAnswer: 5*(u - 2)*(u + 3295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let a = 3 - i. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/6 + 4*b. Let u(r) = -23*r. Let x(j) = -1218*j. Let g(o) = 319*u(o) - 6*x(o). What is g(q(p))?\nAnswer: 58*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*v**4 - 4*v**3 + 146*v**2 - 4*v wrt v.\nAnswer: 1272*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**7\/252 - n**6\/15 - 2*n**5\/15 + 7*n**4\/12 + 17*n**3\/36 - 5*n**2\/2 - 23*n - 39. Find i such that g(i) = 0.\nAnswer: -10, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 14*b - 4. Let y be g(14). Let v(l) = -l - 1. Let u be v(y). Solve 7 - u = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 + 264 = -153*s - 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 + 2*y + 3. Let v be u(4). What are the prime factors of (v\/2)\/((-6)\/8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174744 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6403*f - 12542*f + 5134*f)*(f + f - f).\nAnswer: -1005*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n**2 - n**2 + n**2)*(3 - 2*n - 3) + 4*n**2 - 2*n**3 - 4*n**2)*(4*n - 6 + 6)*(2 + 2 - 1).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x\/(x**(8\/9)\/x))*x)**(-32\/3))**(-3\/20))**(-3\/25) assuming x is positive.\nAnswer: x**(-64\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 44*a**2 + 2*a + 2. Is 39 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369 + -381. Which is the nearest to v? (a) 0 (b) -4\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673813 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(490))\/(sqrt(2) - sqrt(14)\/(sqrt(7) + sqrt(28) - sqrt(7)) - sqrt(2) - (sqrt(2) + -2*sqrt(128))).\nAnswer: -84*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**(1\/14)*(b**0)**(-1\/19) assuming b is positive.\nAnswer: b**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653557?\nAnswer: 43, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -238*t**3 - t**2 - 31*t - 47. What is the remainder when u(-2) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2552159, -2552157, -2552155?\nAnswer: -2552153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 154.\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -5, 2 in increasing order.\nAnswer: -62, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-377 - -398 - (1 + 5)) + -22 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(5\/4)*k)\/(k\/(k\/k**(-3))))**10\/((((k\/k**(-6\/5))\/k)\/(k*k**(-6)))\/((k**1\/k)\/(k\/k**(-2\/7)))) assuming k is positive.\nAnswer: k**(4551\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 2159.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 66\/(-55)*280\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*(d\/d**26)\/d*d*d)*d)\/d**2*(d**(-13\/5)\/d)\/(d*d*d**25*d))**(-42) assuming d is positive.\nAnswer: d**(1596\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16220 + 4?\nAnswer: 16224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 8*t**2 - 9*t + 16. Let q be j(7). Suppose -k + 21 = q*u + u, 0 = -3*u - 3*k + 27. Solve -u = 3*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -371, -826, -1281, -1736?\n\"Answer: -455*z + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*108\/216*15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225209\/324 - -2785\/4. Is x less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 1)*(3 + f - 3) + (2*f + 2*f - 2*f)*(35 - 302 - 159 + 95).\nAnswer: -661*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 2*w**2 - 2*w + 55. Let r be d(-8). Is 710 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 23*g - 22. Determine z(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/15 + i**5\/30 + i**4\/24 + i**3 - 10*i**2 + 1. What is the second derivative of p(g) wrt g?\nAnswer: 48*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(320\/(-78)))\/((-18)\/50))\/(55\/330)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = 3*h + 2, -2*h = 2*k - 8. Suppose 6*q = h*q + 42. What is the greatest common divisor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 6592117.482919\nAnswer: -6592122.482919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 20 = -5*r. Let n(u) = -1. Let f(d) = -3*d**2 - 4. What is r*n(o) - f(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 19 = -4*b, -4*b + 6*v - 11 = 3*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 523 + -411. Suppose 10*a - s = -4*a. Solve -2*y + 3*f + 6 = -0*f, 4*f + a = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215 - -1?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30.7342 times 0.2\nAnswer: 6.14684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s - 4*s - 2*s**2 - 5 - 29*s. Let t = -11 - -53. What is the remainder when t is divided by y(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4634 - -4631. What is the nearest to 2 in y, 0.193, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5828, 23618, 53292, 94850, 148292, 213618, 290828?\n\"Answer: 5942*h**2 - 36*h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-2))\/(81\/(-114)) + -5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**4 - 24*o**3 + 15*o**2 + 66*o - 49. Let j(x) = -86*x**2 - 1 - x + 86*x**2 + 0 - x**3. Let u(k) = i(k) + j(k). Factor u(l).\nAnswer: -5*(l - 1)**2*(l + 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -329476 - 330050*y - 2297\/4*y**2 - 1\/4*y**3.\nAnswer: -(y + 1)*(y + 1148)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.234245*0.082.\nAnswer: -0.01920809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -101. Suppose -o = 4*o - 105. Calculate the remainder when b is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from jvuddab?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 12*r + 27. Let p(x) = -x**2 - 6*x + 13. Let v(m) = -9*p(m) + 4*s(m). Let f be v(-8). Let w(c) = -3 + 8*c - f*c + 3*c. Give w(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348169483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*c = 320*c + 671*c - 34450 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(70)\/((sqrt(100)*-2)\/sqrt(10) - sqrt(10))*1 - (-5*sqrt(560))\/(3*sqrt(15)\/sqrt(3)))).\nAnswer: -38*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-945)\/(-180))\/(3\/16))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(2*n**5 - 12 + 12 + (-11*n**3 + 3 - 3)*(11*n**2 - 26*n**2 - 21*n**2)).\nAnswer: 1194*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 + 8*m**4 - 48*m**3 - 152*m**2 - 148*m - 48.\nAnswer: 4*(m - 4)*(m + 1)**3*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 14*v + 0 + 0*v**2 - 1\/3*v**3. Let h(l) be the third derivative of 7*l**4\/24 - l**2. Determine h(a(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*r - m + 33, -4*r + 5*m - 17 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/3 - -3. Let s = 4 - 4.3. Sort d, 5, s in decreasing order.\nAnswer: 5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0 + 1\/6*w**4 - 1\/60*w**5 - 1\/3*w**3 + 4*w**2 + 0*w. Give o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398684532.\nAnswer: 2, 3, 61, 544651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4\/7 + 316*f**3\/7 - 155292*f**2\/7 - 939852*f\/7 - 201960 = 0. Calculate f.\nAnswer: -238, -3, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*n - 30, 0 = -4*p + 7 + 13. Let h(o) = -o + 1. Let f be h(-1). What is the second derivative of 5*z - z**n + f*z**5 - 3*z wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 4895*g**2 + 14698*g + 19592.\nAnswer: -(g - 4)*(g + 1)*(g + 4898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12*3\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 11667045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0, -586, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.068 - -50.068. Let a = 92886.957 - 92837. Let i = z - a. Round i to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867081266 to the power of 1\/3, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/16)\/((20\/(-5))\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/296 and 95\/574792.\nAnswer: 21267304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 29*i + 93*i - 1441. Calculate the remainder when 7553 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8*-12*(-20)\/(-60). Solve 8*x + d*z - 7*z - 18 = 0, 5*z = -4*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2460 + -163360?\nAnswer: -166150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169167.926 - 169427. Let p = y - -259. Round p to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 6*n**2 + 5*n - 11. Let o be b(4). Is -23 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 25. Suppose -b + v = -43. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(-7)*c)*c*c))\/(c*c**(-1\/4)*c))**(-3\/25) assuming c is positive.\nAnswer: c**(117\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9503*a + 78*a**3 - 4*a**4 + 9501*a + 9*a**4 + 1 + a**2 to the form i*a + t*a**2 + n + c*a**3 + k*a**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 2*t**2 - 13*t - 30. Determine h(5).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 0*u + 2*u)*(0 - 1 + 2) + (3 - 1 - 1)*(3*u - 3*u + 3*u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/81 and 63\/9755?\nAnswer: 790155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78728186 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000685801?\nAnswer: 2819, 354979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.4 (c) -40 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 29 = 4*l - 53, -l + 1 = 0. Put -120, 10, 2, j in increasing order.\nAnswer: -120, 2, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4396546298 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 85 = -5*h, -5*d - 5*h = -8*d - 43. Let n be 88\/14 - (-6)\/d. Suppose 7 = 5*y - 3. Solve -n = -4*r - y, -2*g - 11 = -r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.911 + -13. Let y = -2.911 + u. Suppose 2*q - 6 = -16. Which is the third smallest value? (a) y (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2937003 + 4525312. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5413, -10604, -15799, -20998, -26201, -31408, -36619?\nAnswer: -41834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*n - 393*n - 8904 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-15)\/(-900)*42)\/((-13)\/(-10)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13254929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:16 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -11 - (2 + 1 - -4) - (-67 + 3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500556.\nAnswer: 2, 233, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004799 rounded to 6 dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 2\/3, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31040 (base 12) to base 6.\nAnswer: -1212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -4*i - 30, 35*i - 33*i - 4*j + 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - (-4)\/(-8)*10. Suppose -39 - 9 = -w*y. Suppose 6 = -2*q - 5*b, -5*q + 3*b = -1 - 15. Solve -s = j - 2, -q*j + 4*s - y = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:29 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 26*r - 21. Let s be v(14). Which is the closest to 1\/2? (a) 4 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -3.02?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-101 - -38 - -108).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**3 - 9*c + 10. Calculate x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = -0. Let r be s + 1*(-10)\/(-2). Is (0 - -6)\/(r\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 + 4 = 0. Suppose -j*k - 6 = 2*n + 9, 18 = -4*k - 2*n. Let v(b) = b**2 + b - 2. Calculate v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-27) - 278\/18. Let v be 2 + ((-10)\/g)\/(8\/(-27)). What is the second biggest value in v, -3\/7, -0.4, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**7\/336 + 25*r**6\/24 + 15873*r**5\/160 + 3875*r**4\/12 + 961*r**3\/3 - 356*r. Factor z(o).\nAnswer: o*(o + 1)**2*(o + 124)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/6 + 1\/6. Let m(o) be the first derivative of 1\/8*o**4 - 1\/12*o**3 + 1\/4*o - 1\/4*o**u + 3. Let m(p) = 0. Calculate p.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187168589 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5780663861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88329 + 510441 = 30*u. Find p, given that 486*p**3 + 19905*p**4 + 0*p**5 - u*p**4 - 2*p**5 - 1458*p**2 + 4*p**5 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2101 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**1*k**(1\/6)*k**5*k**(-3) assuming k is positive.\nAnswer: k**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2*11*21. Let t = -1288 - -1321. What is the greatest common divisor of k and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.9 - -7. Let v = j + -0.1. Let g = 0.2 + v. Which is the second smallest value? (a) g (b) -1 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 71*o**2 - 458*o - 34. Give r(-29).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goggiimmgggggggttgqg. Give prob of sequence qo.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 4. Determine d(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3, 5*x - 5*s + 10 = 0. Sort x, 2, 2\/19 in increasing order.\nAnswer: 2\/19, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.2, -2\/11, -193, 1.\nAnswer: -193, -2\/11, 0.09, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1092406\/(-39564) - (-1 + (-25)\/(-27))\/(50\/75).\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(((-385)\/21 - -23) + -4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and (-1 - 3\/(-5))*(-19 - 26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35696122381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*b + 5*i, b + 76*i = 75*i - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1653432099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from gqqxungnj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42341733, -169366935, -381075605, -677467743, -1058543349?\nAnswer: -1524302423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 50?\nAnswer: -11\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45050372*b**2 + 40*b + 18562 wrt b?\nAnswer: -90100744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 74 = 5*u - 67, -133 = -32*u + 35*u - 4*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 11 - 1 = -4*q, 51 = 3*s + 3*q. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 + 111732506*i - 111732506*i.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86706078.\nAnswer: 2, 3, 523, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(-60)\/(-48)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 6*y\/7.\nAnswer: -2*y*(y - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7429819403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 - 34 = 5*o, -3*o - 15 = 0. Let j be 17\/20 + 2\/5. Is j < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 17535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 + 5*w - 20. Let g be ((-506)\/115)\/(-1*2\/(-5)). Let u(n) = 3*n**2 + 2*n - 7. Give g*u(y) + 4*q(y).\nAnswer: 3*y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -23.7\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41454, 41460, 41468, 41478, 41490?\n\"Answer: m**2 + 3*m + 41450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -0*u - 4*u. Suppose -2*y - 2*y + 144 = 0. Let d = y - u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 2*q - 2. Let f be p(-3). Let z be 7\/2 - f\/10. Let j(k) = k**3 + k**2. Let o(u) = u**2 + 0*u - 3*u**3 - 5*u**2 - 2*u. What is z*j(h) + o(h)?\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k + k - 2*k + 3*k - 3*k - k + 3*k - 4*k - k + (2*k - 2 + 2)*(2 - 4 + 1) + 0*k + 0*k - k + 5*k - k - 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12*200\/90)\/(6\/783)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/6*1*2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147570 by -3.\nAnswer: -49190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72.2 and 348.\nAnswer: -25125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18473970, -18473995, -18474020, -18474045?\nAnswer: -18474070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36254073*b**3 + 12*b - 531520 wrt b.\nAnswer: 217524438*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -973*w + 370795. Give g(381).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 - 2*p - 4. Does 19 divide g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 118, 265, 472?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 3. Let r be 0\/(-2) + -8 + -3. Let i = -7 - r. Suppose -5*k = -5*t - 40, -3*t - 2*k = -k + i. Determine z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 25135 + 137914 = 0. Which is smaller: b or -4181?\nAnswer: -4181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/1 - (-130 - -134).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71676 (base 8) to base 15.\nAnswer: 8ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22.789, -4\/11, 3, 1?\nAnswer: -22.789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1587 > -95149\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 131446 - 132695.63. Let f = v + 1229. Let j = 21 + f. What is j rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4088508 (base 9) to base 5.\nAnswer: 1024400442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 20 = -3*d, 4*t + 7 = -9. Suppose 0 = d*o + 8*n - 4*n + 560, -3 = -n. Let v = o + 255. Calculate the greatest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvshssslvvhpsh. What is prob of sequence lp?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(1\/(-114))\/(61\/549).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n**2 - 658*n + 62. What is x(-47)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -4) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1752)\/880 + 2)*(19 + -24).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 2223051302?\nAnswer: -2223051305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)*p)**(-8\/15)*(p\/(p*p**(-8)))\/(p*p\/(p**(-2\/31)*p)) assuming p is positive.\nAnswer: p**(1811\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53.9 + 277.1. Let j = v - 319. Which is the smallest value? (a) -0.3 (b) j (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/2 (c) 469 (d) -1 (e) -4.5 (f) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 35, 29, 5, -43, -121, -235, -391?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = -6. Let m be f\/((-5)\/21) + -1. Solve 5*g - g = m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36044654 and -1.7.\nAnswer: -36044655.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*l**2*q**3 - 287368*l**2 + 2218*l*q**3 wrt q.\nAnswer: 45*l**2*q**2 + 6654*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8921133241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 26*h - 79 = -0*r + 4*r, -r + 5*h - 26 = 0 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a5 (base 12) in base 15?\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -121327?\nAnswer: -2305213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 4*d**2 - 4*d. Suppose -20 + 5 = -3*k. Let p(j) = -2*j - 1 - 4 + k. Calculate p(s(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 5 - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (990\/105)\/22*6\/(-72).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x, -2*x + 98 + 20 = 5*r. Calculate the smallest common multiple of 3 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - 9510\/(-12). What is the highest common divisor of 26 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*x + 11685, -a = -0*x + 2*x + 3880. Let q = 3810 - a. Round q to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 119. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -975, -974, -973, -972?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 9. Calculate the remainder when (2 - 3)\/(1\/(-15)) is divided by a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (1 - (-25 + -43)) + (16 - (-1 + 3))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + u + 13. Let i(a) = -19*a**2 - 8*a - 104. Let m(c) = -3*i(c) - 24*t(c). Let s(v) = v - 21. Calculate m(s(r)).\nAnswer: 9*r**2 - 378*r + 3969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -122243 + 244493 + 51*i**2 - 122251 + 94*i as u*i + x + p*i**2 and give u.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 5. Let c be g(-4). Suppose -5*r = 2*i + c*i - 45, 2*i - 24 = -3*r. Suppose 3*j - 46 = 4*u, 2*j = 3*u - r + 38. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8 + 1)\/((-1)\/((-14)\/132)) and 50\/(-18) - (-2 + (1 - -1)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 4340 - 4346 + 8679 + 42*t**2.\nAnswer: 42*t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 3*d - 7. Let k be j(-8). Let a = k + -31. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*30\/(-140)*83266\/(-1581)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 81. Let i(r) = -r**3 - r**2 + 2*r + 1. Let l be i(-2). Suppose -w + 3 = 2*v - l, -3*w - 5*v + 10 = 0. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**3 + 14*g**3 - 14*g**3 + (g**3 + 0*g**3 + 0*g**3)*(-1 + 0 + 3))*(-g**2 + 2 - 2).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 3, y: 6, i: 2}. What is prob of sequence iiyy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 2*w. Sort -4, 5, w in decreasing order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0482 in 0.1, 1\/3, -7\/6, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) -1 (c) 0.2 (d) 0.0115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 2.8. Let i = 2.1 + s. Let h = 1513 + -1515. Which is the closest to -2\/7? (a) i (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.41183 seconds to minutes.\nAnswer: 0.5235305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.6, 0.1, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.489729 litres in millilitres?\nAnswer: 489.729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/54 - (-79)\/9. Suppose -4*f - 25 = -r*f. Let t(o) = -o**2 + 7*o - 2. List the prime factors of t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -5.24705?\nAnswer: 0.524705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*t + 4950 + 6347 + 1028 = -274*t for t.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: bfa (base 16) to base 5\nAnswer: 44231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 7*b**6\/25 + 327*b**5\/100 - 38*b**4\/5 + 11*b**3\/10 + 27*b**2\/5 + 137*b - 1. Let o(y) = 0. Calculate y.\nAnswer: -9, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**2 + 58*p**2 - 13*p**2 - 23*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77381\/823134 + 5\/4498. Find the common denominator of -52\/33 and s.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0989577 + 1.099. What is j rounded to six decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.4 + -12.4. Which is greater: 8 or m?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100020110020 (base 3) to base 15.\nAnswer: -38d36","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:39 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1058*f**5 - f - 68 wrt f?\nAnswer: 21160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2 - (-4 + 0). Let y be g - 34\/((-4)\/(-2)). What is the remainder when (-3)\/y + (-867)\/(-15) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3 + 3. Let i be y*(2 - -1)\/(-3). Suppose 0 = -2*j - j. Which is smaller: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 494894748 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 8 = 7*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 67. Let k(o) be the first derivative of -7*o**3 + 3095. What is k(j(i))?\nAnswer: -21*i**2 + 2814*i - 94269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 7291240421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -15 - 13. Let r(d) = 3*d**3 + 126*d**2 - d - 15. Let l be r(-42). Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/9 + 17428*g**2\/9 - 37966898*g\/9 = 0. What is g?\nAnswer: 0, 4357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 5*y**4\/12 + 10*y**3\/3 + 3*y - 2. Let s(f) = 0. What is f?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1 - 17*l + 9*l + 47*l. Let f be a(1). Suppose -f = y - 93. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 17*p**2 - 9*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 9*d**2 - 4*d - 20. What are the prime factors of u(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 13*n**2 - 7*n - 9. Let i(p) = p**3 - 13*p**2 + 7*p + 8. Let k(s) = 4*i(s) + 5*o(s). Is k(12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071092 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtym. Give prob of picking 1 t and 2 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775352?\nAnswer: 2, 19, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((0 - 8984) + -2 + 18 + -15)\/(-1).\nAnswer: 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 2. Let u = -28 + 19. Let l = -3 - u. Is b(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17850 and 2210.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -40. Let w(d) be the third derivative of 0 + 4\/9*d**3 - 1\/30*d**5 - 1\/45*d**6 + 0*d + 2*d**2 - 1\/315*d**i + 1\/9*d**4. Suppose w(t) = 0. What is t?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 + 1\/(-10). What is the second biggest value in -0.4, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469290159 divided by 5499?\nAnswer: 85341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57909223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 64. Let b(u) be the first derivative of -5\/3*u**3 - 5 - 2*u**2 + d*u. What is the second derivative of b(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 24 = 2*k. Let v = 8 - k. Suppose v = -s + 2*s - 3. Solve s*q - 5*f + 2 = -3*f, -10 = 5*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 2*j**6\/5 + 3*j**5\/20 - 3*j**4 + 5*j**3\/2 + 3*j**2 + 12*j - 6. Suppose g(q) = 0. What is q?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 325246 - 0?\nAnswer: 325246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*h = 43959, 5*n = -92*h + 97*h + 109845. Does 158 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/350)\/(((-210)\/441)\/(2\/3))*55\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c = -5. Is c >= 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -6.1. Let t = 8 + g. What is the smallest value in -1\/7, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 4543 = -1677. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 28047 + 6*a + 28046 - 84119 - 2*a + 28042.\nAnswer: 13*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - (-255)\/30. Suppose -30 = -b*x + 2. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132872891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 0. Suppose 0 = 4*j + j. Let p = j + a. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4740 (b) -19 (c) 131 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 7*y**2 - 5*y + 1. Let l(r) = -4*r**3 + 2*r**2 + r. Let o be l(-1). Let u(x) = -x**2 + 4*x - 1. Let w be u(o). Calculate q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -180, -49 in ascending order.\nAnswer: -180, -49, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*x - 0 - 26, 35 = 5*k + 5*x. Sort -3\/5, -3, k.\nAnswer: -3, -3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 641550320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 55540 = 6*z + a, -33324 = -3*z - 2*a. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110613?\nAnswer: 3, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + q)*(-3*q + 2542 + 14*q**3 - 2542).\nAnswer: 14*q**4 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 5*a - 1. Let h(r) = -5*r + 12*r - 9*r + 22. Let n be h(9). What is the hundreds digit of o(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u + 4. Let q(l) = -9*l**2. What is q(t(w))?\nAnswer: -144*w**2 - 288*w - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -31. Suppose -f*t + 2*t - 15876 = 0. Let z = t + 22621\/10. Calculate the common denominator of 101\/8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*5\/(-45)*9. Suppose 7 = m*p + 5*u - 1, u + 5 = 0. Calculate the remainder when 30 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 830*o + 15782. Give a(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(170) + -2*sqrt(170))\/sqrt(10))**2 + (sqrt(17)*2 + -3)**2) - (2 + ((sqrt(119)*2 - sqrt(119))\/sqrt(7) - (sqrt(51)\/sqrt(3) + 5))).\nAnswer: -36*sqrt(17) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61 (b) -0.1 (c) -3\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 - 8*n**2 - 11. Let o(l) = -5*l**2 - 3*l - 1. Let r be o(-1). Let i(h) = -2*h**3 + 3*h**2 + 4. Let m = -21931 + 21923. Give m*i(t) + r*v(t).\nAnswer: -2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 133*c. Let b(i) be the third derivative of -5*i**4\/24 - 15239*i**2. Calculate b(f(v)).\nAnswer: -5*v**2 + 665*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(5103))**2 + (4 + sqrt(1575))*1.\nAnswer: -81644 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -661*n**2*v**2 + 2283*n**2*v - n*v**2 + 3243654*v**2 + 8*v wrt n?\nAnswer: -1322*n*v**2 + 4566*n*v - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.622 + -0.53. Let q = t - -2.608. Let a = -3 + q. Sort a, 0, 2 in increasing order.\nAnswer: a, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1637.\nAnswer: -654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66, -124, -182, -240?\n\"Answer: -58*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 7805126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236885258.\nAnswer: 2, 118442629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 - 310*s**4 + 45*s**3 + 2770*s**2 - 1300*s - 3720 = 0 for s.\nAnswer: -62, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + o**5 + 3*o**5 + (0*o - 2*o - o)*(-o**4 - 4*o**4 + 3*o**4) + 2*o**5 - 4*o**5 + 0*o**5 + (-o**2 - 1 + 1)*(-4*o**3 + 2*o**3 + o**3).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4681)\/(-868) - 4288\/469?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15644*v - 15634*v + 31278*v + 333*v**2.\nAnswer: 333*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15)*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -834*r. Let y(h) = 277*h - 127*h - 52*h. Let k(p) = 42*y(p) + 5*z(p). Let g(t) = t**2. What is k(g(c))?\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 14, -0.0557 in increasing order.\nAnswer: -3\/4, -0.0557, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhh. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -635 and -628 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 0*j + 2*j)*(-3 + 3 - j) + j**2 + 3 - 3 + (2 + 1 - 2)*(18836 + 18840 - 503*j**2 - 37677) as o*j**2 + y*j + w and give o.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3797479?\nAnswer: 7, 542497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j. Let s(x) = -3*x**2 - 5. Let g(y) = -2*y**2 - 3. Suppose -w + 24 = -5*w. Let l(b) = w*s(b) + 10*g(b). Give l(o(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/120 - 5*w**4\/24 - 25*w**3\/12 - 10*w**2. Determine f so that q(f) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54400 or 54395?\nAnswer: 54395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:04 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i - 110 = -2*m + 49*i, -3*i - 126 = -4*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - 5. Let g be k(3). Let j = g + 8. Suppose j*h - 15 = 5*w + 33, -5*h + w + 58 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 - 10*w + 12. What is the units digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 16) to base 12.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -514 and -0.5?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/347 and 30\/163.\nAnswer: 56561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -504 (base 6) to base 8.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -7. Suppose -107 = 4*v + 621. Let f = v - -1276\/7. What is the biggest value in b, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*j + 77*j - a = 1100, 4*j + 2*a - 4406 = 0. Is 83 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 730 (b) -0.1 (c) 1011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7202*q - 36420 = -7809*q for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60940 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9042 + -9050. Sort -2, -3, -38, f in increasing order.\nAnswer: -38, f, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - n - 6 = 0, -y + 7 = 5*n + 19. Let m be y + 5 + (-10)\/3. Put 0.3, -0.1, m in descending order.\nAnswer: 0.3, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 5. Suppose 25 = s + 4*i, s - 2*i - 1 + 0 = 0. Calculate the remainder when n(6) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1329450 + 1972750. What is a rounded to the nearest ten thousand?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5.6. Let x = -2.6 - h. Let d = x + 2.99999916. What is d rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2021*c + 1633*c - 15280*c + 6114*c as l*c + i and give l.\nAnswer: -5512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*g**2\/3 - 2272*g\/3.\nAnswer: 2*g*(7*g - 1136)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose t*z = -4*z + 3*m + 1, -m = 4*z - 21. Suppose 197 = z*s + 5. Calculate the remainder when s is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/3 + 86*w**4\/3 + 68*w**3\/3 - 47396*w**2\/3 - 815558*w\/3 - 4176050\/3 = 0. What is w?\nAnswer: -17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.135 times -18419.52\nAnswer: -2486.6352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/216 and -55\/27769641.\nAnswer: 1999414152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2614 + 1777. Let l = d + 973.7. Round l to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = -2*n - 44, -2*n = -2*i + 46. Calculate the common denominator of -89\/28 and 1\/2 - (-87)\/n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**5\/95 - u**4\/19 - 2*u**3\/19 + 8. Factor i(k).\nAnswer: 2*k**2*(k - 3)*(k + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53.69 - -51.69. Sort -13, 5, 2, -1\/7, y in ascending order.\nAnswer: -13, y, -1\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-12)*(1 + -4). Suppose t = 6*i - 11. Suppose -3*c - 438 = -5*j - 2*c, -i*j - 4*c = -184. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1) - 23\/(-1). Suppose -b = 2*a + 13. Is (-4)\/a + (-260)\/(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-7))\/(-1) - 1. Let w(m) = 5*m + 3. Let z be w(-1). What is the closest to 1 in 2\/13, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 + 2*g**2 - 3*g**2)*(6 - 2 - 3)*(-83*g + 2*g - 54*g) to the form h*g**2 + b + z*g + k*g**3 and give k.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -16. What is the closest to -2\/3 in 0.7, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 7*j + 3. Let p be w(7). Let s = p + -3. Is s not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49\/4 of a millimeter?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*p + 405*p = -272 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiw when three letters picked without replacement from {y: 1, w: 4, v: 1, i: 4, l: 1, u: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 71373360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13243 (base 7) to base 14.\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.1 - -140.1. Let a = -21 + p. Let j = 102.99959 - a. What is j rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k + 5. Let i be p(5). Let d = i - -100. Suppose 4*l = -l + d. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:47 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264212 - -25112. Round g to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2261\/4389 - 4\/22?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.295 + -13.695. Let y = -188 + 296. Put y, x, 5 in decreasing order.\nAnswer: y, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and -63\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18337, -18321, -18295, -18259, -18213?\nAnswer: -18157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(605) + -1 + -4 - sqrt(605)))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.78? (a) -1\/4 (b) -3\/64 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 55*a - 57*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 + 1774*r**4\/5 + 22018*r**3\/5 + 6754*r**2\/5 - 22028*r\/5 - 8528\/5 = 0. Calculate r.\nAnswer: -164, -13, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*h = -44*h + 31030. What is the remainder when 822 is divided by h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*a*i**2*o**3 - 2*i**2 - 2*i*o**3 with respect to a.\nAnswer: -93*i**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14671 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 0*f**4 + f**4)*(-16*f + 23 + 9*f + 8*f).\nAnswer: 3*f**5 + 69*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15427 - 14*q**3 - 4800*q - 53*q**2 + 9*q**3 + 10819 + 3*q**3 - 141*q**2.\nAnswer: -2*(q + 1)*(q + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pupupppbpppppyybpbpp. What is prob of sequence bbpp?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 - -1656\/11. Let o = a - -4\/33. Are o and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 7216?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -bdb95?\nAnswer: bdb9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587404092?\nAnswer: 2, 3, 11, 4450031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18512.8km in micrometers?\nAnswer: 18512800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.43 (b) 0.2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 5*g + 2*o - 46, 31 = -4*g + 5*o. Is g less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 129929.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45245, 48429, 51613, 54797?\n\"Answer: 3184*a + 42061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-10 + 20 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.73059, -0.03, 2, 2\/137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -43, -103, -197, -331, -511, -743?\n\"Answer: -g**3 - 8*g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005217312 rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - -33) + 22 - (-1 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*b - 125 = -1315 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6))\/(y*y**(-2\/23)*y))\/((y*(y**(-2\/5)\/y)\/y*y)\/y)**(1\/34)*(y**(-2\/7))**(2\/101)*(y*y**(-1))**45 assuming y is positive.\nAnswer: y**(-19012023\/2764370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 30*d + 40. Calculate the lowest common multiple of x(6) and 74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 9 = -5*f, -246*b = -247*b - 2*f + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6541?\nAnswer: 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 31. Which is the closest to -5? (a) -0.2 (b) l (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-715)\/(-270)))\/(15*(-146)\/(-14235)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389627593, -779255187, -1168882781, -1558510375?\nAnswer: -1948137969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight thirds of a decade in months?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 + 3)\/(1\/((-7)\/(-2))). Calculate the highest common factor of b and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2459 - 886. Is 121 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39534*q - 11 = -3*y - 39536*q, -36 = -23*y + 7*y - 5*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-6))\/((-1)\/135)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -658 - -655. Which is bigger: 8 or o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2869*j - 3366 = 31062 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14574.59 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/249120 and 23\/288.\nAnswer: 249120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433 - 860 - 4*g + 427.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1119068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 37*u**2 + 34*u. Let x(o) = 39*o**2 + 34*o. Let z(r) = 4*v(r) - 5*x(r). What is the second derivative of z(n) wrt n?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2888 + 0.0773. Round q to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*m = 40612, -5*d - 27660 = 3*m - 68251. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qojqojooojooqoqoboj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-4))\/(-5)*3\/(-6). Let r be (1\/(-12))\/(81\/216). What is the nearest to r in c, -4, -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*r + 14*t, 3*r - 47*t = -46*t + 4. Let w be (23\/(-3))\/(2\/750). Let j = w - -330623\/115. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2406603 - 4*v**3 + 2408222 - 4*v**3 - v to the form u*v**2 + l*v + a*v**3 + o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qddvddvvdmdjvmdd. What is prob of sequence dqmd?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1450 - -11b?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0418333 to four dps.\nAnswer: -0.0418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102449 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3747*u - 8254*u = -696058 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 193 (b) 4\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 26, 25, -12, -97, -242, -459, -760?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.979873 millennia?\nAnswer: 59758.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -12, 38*u - 2*r - 4 = 39*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4875935.86 to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/3153 and 121\/114?\nAnswer: 119814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1388899448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232543.\nAnswer: 13, 94811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 0, 2*c = -2*f - 4 + 10. Suppose -483 + 1519 = c*d. Suppose 398 = 3*z - d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -362*w - 7. Let u(x) = -6*x**2 + 3. Calculate c(u(z)).\nAnswer: 2172*z**2 - 1093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 4*c - 2. Let b(g) = -g**2 - 9*g + 7. Let p be b(-10). Let a be 57\/(-9) + p\/(-9). Is h(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102357698 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1649*a + 10708. Let h be z(-14). What is the greatest common factor of h and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 80*g - 315.\nAnswer: -5*(g + 7)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t + 9 = -3*v, 19 = t - 4*v. Solve y - 2*w = -t, 2*w = 5*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-2448)\/(-20))\/(-1))\/(42\/(-105)) is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*x + 2. Suppose x*q = -6 + 24. What is the remainder when 21 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136836*h**3 + 2087001*h**2.\nAnswer: -821016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1265305344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 213 = -3*o - 2*g, -5*o + 2*g - 344 = 0. Let d = o - -73. Suppose 98 = d*v - 361. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11588.\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**31*i**(-3)*i*i**(-3\/5))\/(((i\/(i\/(i\/(i**(-1\/9)\/i*i)))*i)\/(i*i**(-1\/5)*i))\/(i**(-1\/6)*i**(-5))) assuming i is positive.\nAnswer: i**(-6307\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (112\/(-224))\/(17\/8*1)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Suppose -2 - 1 = 3*r, 3*r = 4*k + 9. Let z be ((-87)\/(-15) - 3) + k. Which is the closest to 2\/3? (a) -2\/7 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 89\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {k: 3, z: 2, r: 1, w: 8, l: 3, s: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 - 18*u**2 - 19*u + 8. Let w(b) be the second derivative of -b**5\/10 + b**4\/2 + b**3 - 3*b**2\/2 - b. Let v(a) = -3*g(a) - 8*w(a). Factor v(s).\nAnswer: s*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 269*f - 267*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*v + (-2 + 3 - 2)*(2*v - v - 4*v) - 1 + 1 + 2*v)*(17*v**4 - 16*v**4 + 22*v**4).\nAnswer: 46*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168691851 or -168691852?\nAnswer: -168691852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/13 - (-1264)\/312*114. What is the highest common factor of 42 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x + 12*x + 82 - 613 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 8*b + 6. Suppose 0*v - 2*v + 108 = 4*l, 104 = 4*l + 4*v. Let c be (-2 - 1)\/((-12)\/l). Determine d(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -808, -1572, -2320, -3046, -3744, -4408?\nAnswer: -5032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 3*y**4\/4 - 4*y**3\/3 + 2*y**2 - 117. Let j(d) = d**3 - d**2 + d. Calculate -c(m) + 4*j(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2696 and 107.98?\nAnswer: 2588.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9499913*h**5 - h**4 - 23814380*h wrt h.\nAnswer: -189998260*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 + -681. Let r(v) = -3*v**2 + v - 238. Let m be r(0). Let w = m - o. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027651 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/198 and 163\/60.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbkk when four letters picked without replacement from {b: 2, k: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**18*p*p\/p**(-2\/13) assuming p is positive.\nAnswer: p**(262\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13492, 13487, 13482?\nAnswer: 13477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.159?\nAnswer: -0.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*o**2 - 198*o + 1.\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 11. Let i(y) = -y - 12. Let g(w) = -5*d(w) - 4*i(w). Differentiate g(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117 (base 15) in base 10?\nAnswer: 3622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134588709?\nAnswer: 3307, 343087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50461 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooow when four letters picked without replacement from kwkoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 7*b - 10*b + 21*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2530, 9953, 22328, 39655?\nAnswer: 61934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*t = -500*t - 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-55)\/(-20) - 5) + 1\/4. Let z be (9\/18)\/(n\/(-12)). Suppose -3*m + 0*s - 3*s = -z, -2*m - 5*s - 4 = 0. Solve 5*p - m*o + 5 = -0*o, 2*p + 1 = o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17331468 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 29*z**2 + 153*z - 148. Calculate the remainder when h(-34) is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 53 - 18 = 5*c, 4*c = -4*v + 40. Suppose -i = 2 - v. Let f(g) = g**3 - 5*g**2 + g - 3. Calculate f(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7171.2874 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2. Let q(b) = -3*b**2 + 4*b**2 + 4*b**2 + 2*b**2. What is q(a(c))?\nAnswer: 175*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 28*n**3 - 33*n**2 + 19*n + 177. Is p(31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10904028 divided by 5.\nAnswer: 10904028\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 4398*q + 17 + 6 + 16.\nAnswer: -4398*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879780 take away 1046.09831?\nAnswer: 2878733.90169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 - 278. Find the third derivative of 60*t**2 + 39*t**3 - 119*t**i - 130*t**2 wrt t.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92 - 89) + 1 + (-20 - -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 190947070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 588 and 575799?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m + 35. Determine r(10).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21651929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - q = 30, 0*l + 3*l - 35 = 4*q. Sort -3, -2, l.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53\/190 - 3\/38. Let g = -32.4 - -27.4. Put g, -2\/9, v in increasing order.\nAnswer: g, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -90, -132, -182?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - 2*(sqrt(91) - (-2*sqrt(91) + sqrt(91)))) + sqrt(91))\/sqrt(7))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 10*u + 4. Let r be q(6). Suppose -6*h + 2039 - 2004 = -h. Calculate the highest common factor of r and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/3)\/(6 - (-129696)\/(-21618))?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35527824 divided by -1973768?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 10 + 4*g**4 - 5*g**4)*(-3 - 4 + 5).\nAnswer: 2*g**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 - 13*x**2 + 15*x**2 to c*x**2 + i*x + n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -77. Let f(b) = 4*b - 36. Let w be f(h). What is the units digit of 2 + w\/42 - (-863)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3472306 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. Suppose 8 = -x + s*x. Suppose -12 = -x*j + 2*h, 3 + 7 = 2*j - 4*h. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*h - 6 + 76 = 0, 50 = 5*m + 2*h. Suppose -v + 4*z = m, -v = v + 5*z - 41. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -1455 (b) 19 (c) -4\/3 (d) 2 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 11*l + 8. Let i be j(9). Let q = -42 - -43. Suppose -v = -c + i, 15 - q = c + 2*v. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 92757104 and -27134.\nAnswer: 92729970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1028.28 and -0.2.\nAnswer: -1028.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6)*(-15*y + 15*y - 13*y**5).\nAnswer: -39*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3) + (-347)\/(1249200\/9936)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -5, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -210202 (base 3) to base 7\nAnswer: -1466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from mxmaxxexya?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from mmmmmmxjjwgmwmmwmmm?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 2*n. Let x be q(2). Let s(t) = -t**2 - 5*t - 2. Let h be s(x). Suppose -h*p = 2*p - 356. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 3. Let c be x(3). Is 5 a factor of 9*((-4)\/3 + c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382703 to the power of 1\/2, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16468, 33191, 49924, 66667?\nAnswer: 83420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30827 - 30827 + 26*s**2 - 34*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9513 - -9780. What is the remainder when b is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - x**2 + x + 0*x**2 - x**2 to the form j*x**2 + i*x + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45524 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1188 by -108.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076208629.\nAnswer: 13, 236631433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3884 = -5*p + 2*n - 1154, 4*p = 5*n + 2184. What is the lowest common multiple of 117 and p?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/4)\/(((-70)\/(-175))\/(72\/(-945)))\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let c = 101 - 101. Suppose c = 6*o + 7 - 19. Let q(h) = -221*h**o + 13 - 37 + 223*h**2. Give q(t(u)).\nAnswer: 2*u**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, b: 7, x: 7}. Give prob of sequence xab.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*r + 343 = 307*r. Let s(m) = 22*m + 1 + 3 + 32*m - r*m. What is s(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -z, -s + 2 = s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 22220*v - 6910421. What is m(311)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 + -3.7. Let y = 27\/2 - 139\/10. What is the nearest to 0.1 in y, -2\/13, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -o + 534 + 539, 10 = 2*o. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125456.4 micrograms to kilograms.\nAnswer: 0.0001254564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13147551829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 1149*z\/4 + 6501\/2.\nAnswer: -3*(z - 11)*(z + 394)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7070291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 14) to base 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -338 at least -308370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 20*p**2 - 16*p - 77. Let z be w(-20). What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*n = -35, -3*n - 27 = 45*l - 50*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - -21. Suppose 0 = -0*i - i + l. Suppose 5*x = -g + 110 + 67, -4*x - 2*g + i = 0. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 13.69. Let z = s - 0.01. Let q = 15.5 + -15. What is the closest to q in -2, -1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 119*o**2 + 602*o + 3715. Calculate m(-114).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100\/345 - 9\/((-207)\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9706, 9692, 9652, 9574, 9446?\n\"Answer: -2*o**3 - o**2 + 3*o + 9706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 8*s = -4*n + 4037, s - 4035 = -4*n. What are the prime factors of n?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k**3 - 4*k**3 - 22*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 12. Let o be 19*(1 + 0)*l. Let m = -1548 - -1966. Calculate the highest common divisor of m and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d*d*d\/d**(-2\/11)*(d*d**(-3\/5))\/(d\/(d*d\/d**(-7\/6))))**(-34) assuming d is positive.\nAnswer: d**(-71519\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((6 - (-84)\/(-14))\/6)\/(-1). Let q(o) be the third derivative of -1\/28*o**4 + 1\/210*o**5 + 2\/21*o**3 + o + c - 17*o**2. Factor q(t).\nAnswer: 2*(t - 2)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1532 divide 286066915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -0.5, 0.2, 1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846 (base 14) in base 4?\nAnswer: 3233312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 48 = 3*g - 5*n, 4*n = -5*g + 19. Which is the nearest to g? (a) 1 (b) -9 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -3. Let c(t) = -2*t**2. Let r(p) = 13 - p - 13. Let s(x) = f*r(x) - c(x). Find the second derivative of s(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.18 + -1.5. Let m = 14 + -15. What is the fourth smallest value in s, -2, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277436755 and 32444.\nAnswer: 8111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 3. Suppose 15 = 4*p - w, -3*p + h + 2 = -2*w. What is the highest common factor of p and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 912 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5327 * -32.06\nAnswer: 170783.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*l - 6. Solve 3*x = -5*c - 6 - l, 0 = -4*c - 3*x - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*p + 224 + 368. Solve h = p*h - 60 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.4 (b) -9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202 + -950. Let q = n - -753. Solve -5*r = -4*t - 4, q*r - r + 2 = -2*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -6.3. Let t = -0.031 - -3.031. Let g = p - t. Sort g, -1, 8 in increasing order.\nAnswer: -1, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 585990580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 18*s**2 + 4*s + 13. Is w(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228161.9*17.7\nAnswer: -4038465.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1322022333 (base 4) to base 14\nAnswer: d051d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41321111 - -41321108.17000144. Let n = f + 2.83. Round n to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/7 + (-18)\/(-63). Let v = a - -27. What is the greatest common divisor of 38 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60190000 to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.96 to 0 dps.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4513 + 7344. Calculate the greatest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2832*b**4 + 113*b**3 + 3*b - 1545660 wrt b.\nAnswer: 33984*b**2 + 678*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15 and -50779.\nAnswer: -50764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/555795 and 127\/552?\nAnswer: 4446360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 3*r**2 + 4. Let x be z(3). Suppose 0 = -x*h - y + 29 + 16, 5*h - 60 = -2*y. Suppose 0 = 2*k - 4 - h. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 641421900 and 5508?\nAnswer: 5772797100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 24. Suppose 46*b - v = 42*b. Solve 4*z - b = -9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -71. Let s be (-7)\/4 - 24\/d. Factor -s + 3\/4*m + m**2.\nAnswer: (m + 1)*(4*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -877 - -876.5. Which is the closest to -2? (a) 0.2 (b) 57 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7912 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -5 (b) 3 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12 = 6*j. Suppose 0 = l - 5*l + 16, -36 = -4*o + j*l. Let s(u) = u**3 - 8*u**2 + 30*u - 73. Let y be s(5). Solve y*m = -m - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 7 + 0*r + 6*r + r + 4*r**2. Let j be t(5). Factor 2*g - 11*g**j - 8*g**4 - 4*g**2 - g**3 - 2*g**3.\nAnswer: -2*g*(g + 1)**2*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 - 4*g. Let z be u(4). Determine t so that 98*t**4 + 9*t + 43*t**3 + z*t**2 - t + 99*t**3 + 12*t**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 1. Let r(j) be the third derivative of j**4\/3 - 5*j**3\/3 + 4*j**2. Let i(n) = 10*g(n) + r(n). Let t(a) = -a + a + 2*a. What is t(i(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004406 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210627, 421217, 631807, 842397, 1052987, 1263577?\nAnswer: 1474167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w. Suppose 420 = 3*f - w*f. Suppose 3*q - 15 = 0, f = 5*a + q + 4*q. Solve -g - 6*r + r = a, 1 = -3*g + 2*r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/9 (c) -4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -18 + -6 + -1 - 11\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594281639 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -7*h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576685 is divided by 1064?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w - 60 = 0. Let x(d) = d + 6. Let r be x(-5). Let v = w + r. Solve z + v = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 2*l**2 + 3*l - 2. Suppose -5*y = -0*y - 25. Suppose 0 = -5*x - y*d - 5, -2*x - 5*d = 11. What is the tens digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let a(s) = 301653499*s. Give v(a(z)).\nAnswer: -181989666917886002*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84*(-233)\/(-6990)*(-5)\/(-34).\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q - 1\/100*q**6 - 1\/60*q**4 - 1\/525*q**7 + 3*q**2 - 1\/50*q**5 + 0*q**3 - 2. Factor i(c).\nAnswer: -2*c*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15610 and 25?\nAnswer: 78050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + y - 2*y + 1 - 1 + (-2 - 2 + 3)*(-2*y + 7*y - 3*y))*(2 - 2 + 3).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/32 + (3*(-2053)\/1380 - 16\/184)\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 26 = -80. Suppose -47 = -3*t + 5*o, t - k = -3*t - 2*o. What is the remainder when 95 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + -16. Round g to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 2:53 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12719 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 38516606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -172340 to the nearest one thousand.\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31990229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 11*c + 7. Let w be t(-6). Let q = -12 + w. Suppose -7*o + q = -2*o. Solve 0 = -3*j - z - 1, -o*z = -3*j + 4*j + 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5039.054ml?\nAnswer: 5.039054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171796.\nAnswer: 2, 73, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-100) + 189\/175)*(-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -34, -63, -94, -127, -162, -199?\n\"Answer: -o**2 - 24*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 2, v: 2}. Give prob of picking 1 y and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -42.38. Let j = v + -0.02. What is the nearest to -1\/2 in -2\/9, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/9)*k)\/(k*k*k*k\/((k*k**(2\/5))\/k)))**5 assuming k is positive.\nAnswer: k**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 800 and 3030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i*i\/(i\/(i**(2\/15)\/i)))**(1\/9)\/((i\/(i*i\/(i**(-2\/3)*i)))**30*(i**8\/i)\/((i\/i**3)\/i)) assuming i is positive.\nAnswer: i**(1352\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 94*o + 2. Let x(v) be the third derivative of -v**4\/24 + 966*v**2. Calculate n(x(s)).\nAnswer: -94*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 290229856 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-27)*1*21\/14\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vlvvvvvvvvvvlvl.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 41. Let d be x(6). Let o be (40\/(-100))\/(d\/(-5)). Let t be 4 - (-3 + -15 + o + 1). Calculate the highest common divisor of 161 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c - 27. Let u = c + 82. 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 y(t) = t**3 - 9*t**2 + 3*t + 4. What is the tens digit of y(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, 78, -63.3, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 1. Let w = -1 + 0. Let x be p(w). Let s(z) = -z**3 - 4*z**2 - 4*z - 3. Calculate s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10844 and 121995?\nAnswer: 487980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -89 + 305. Suppose -4*u = -171 + 51. What is the lowest common multiple of u and n?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 75 = -1313. Let a = q + -144. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1367 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 29730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306287.\nAnswer: 53, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 919*w\/3 + 614.\nAnswer: -(w - 921)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -316.14 and -0.4401.\nAnswer: -316.5801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11113*b - 671*b + 2698*b.\nAnswer: 13140*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2407438620 to the nearest integer?\nAnswer: 49066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18764 is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5046627*u**3\/4 + 87372405*u**2\/2 - 26979309*u + 4203318 = 0. What is u?\nAnswer: 406\/1297, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13 = 5*g, -g - 15 = -5*b - 2. Let x be (-5 - (0 - g))\/(-2). Solve x*h = -5*v + 2*v + 7, v - 3*h = 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 746 - 744. Let m = 6 + -2. Suppose m*i - 20 = -8. Solve -i*u - 5 = -o*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -5 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 2. Calculate the smallest common multiple of 12 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902620738 to the power of 1\/3, to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11635 and -9.\nAnswer: 104715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 11. Let f be c(-7). Suppose 137 = -f*p + 581. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 - 5 = 0. Let n be 5382\/a - (-7 + 4 + 3). Suppose n = 5*q + 4*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c + 71 = -3*h + 30*c, -3*c = -2*h - 59. Let j = 73 - h. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 + 2. Let r be z(7). Solve -4*o + 10 = -r*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503261679.3 rounded to the nearest 10000?\nAnswer: 503260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 2 = -5*t, 0 = -3*t + 2*l - 14. Let y(q) = 24*q + 49. Calculate the least common multiple of 10 and y(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -35 (b) 2\/33 (c) -0.1 (d) -0.417 (e) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*a + 40. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 4. Let s be x(-2). Let v be (-3)\/6 + s + 0. Which is the nearest to v? (a) 2\/5 (b) 4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 + 0*c**2 - 2*c**3 + 16*c**2 - 16*c**2.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-69)\/2 + 1\/2. Let c(b) = -4*b**2 + 19*b + 8. Let j be c(5). Let n = j - p. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 464400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 51887 = 3*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159\/(-21) - (6 + (-102)\/21)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273.8565802 - -273.85. What is y rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -59*i + 290. List the prime factors of h(-5).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1712 and 2461.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o - 7. What is g(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 553883657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 3*k - 144622*k**2 - k + 144626*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + (-2)\/(-2). Suppose -4*q + j + 11 = 2*j, 4*q = -5*j - 9. Does x = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 2*z**3 + 11*z**3 - 10*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1258 - 1198. Solve 9*w = 19*w - o for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 + 3*t**2 - 2*t - 2. Suppose -z + 2 = 0, -3*v + 2*z - 2 + 1 = 0. Suppose v + 3 = 2*l. What are the prime factors of w(l)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 1\/5*b**5 - b**4 + 2*b**3 - 2*b**2 + b + 47. Suppose j(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -34*x - 47. Let y(d) = 56*d + 90. Let l(o) = -7*k(o) - 4*y(o). Let p(n) = -n. Calculate l(p(m)).\nAnswer: -14*m - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*j**3 + 0 + 0*j + 1332\/7*j**2 = 0.\nAnswer: -333, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) - (1*sqrt(153) - sqrt(153))))*-6 - sqrt(153))*5)\/(sqrt(99)\/(3*sqrt(1100)))*6.\nAnswer: -900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 0*f - f + 3*f**3 + 5*f - 4*f**3 - 5*f + (-2*f**2 - f**2 + 2*f**2)*(2 - 2 - f) + 3*f**3 + f**3 - 3*f**3 as g*f + m + o*f**3 + p*f**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -12250363?\nAnswer: -12250353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4501 and -544.\nAnswer: -2448544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 77*s - 2. Let f be h(1). Let r = -4 + 29. Calculate the highest common divisor of r and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x + 20. Let k be 5\/x + (-75)\/(-12). Let l be (6 - k)\/(-2 - -3). Solve -5*j + l*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 2\/11 (b) -1\/6567 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -94*g + 374. Let c be h(4). What is the third biggest value in c, -0.26, -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**4 - 2*s**4 + 3*s**4 - 3*s - s wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 2*w**6\/45 - 2*w**5\/15 + 4*w**3\/9 - 2*w**2\/3 - 3*w. Determine m, given that z(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 - 2*i - 9. Suppose 3*p + 17 - 5 = 0. Let s(j) = 2*j**3 - j - 4. Let u(v) = p*x(v) + 9*s(v). Find the second derivative of u(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2253, -4580, -6949, -9360, -11813, -14308, -16845?\n\"Answer: -21*y**2 - 2264*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from {b: 4, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9543 + -0.0643. Let o = d + 0.11. Let j = -1.3 + 1. Sort j, -2\/3, o in ascending order.\nAnswer: -2\/3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 - 3*m**2 + 2*m + 6. Let h(n) = n**3 - n**2 + n + 1. Give -4*h(v) + y(v).\nAnswer: 2*v**3 + v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1633, -2936, -4191, -5392, -6533, -7608, -8611, -9536?\n\"Answer: x**3 + 18*x**2 - 1364*x - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012636 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 3080.\nAnswer: 3117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -441.443.\nAnswer: 441.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.4 (b) -21340901 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31560 and 17969475.\nAnswer: 3945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29295857 or 146479289\/5?\nAnswer: 29295857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 2. Suppose 2*o = 4 - 0. Let i(a) = -a**2 + 4*a - 4. Let n be i(o). Sort n, s, -4 in ascending order.\nAnswer: -4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 8*r + 35. Suppose 5*q + 3 = -5*j + 48, -5*q + 48 = 4*j. Let t = r + q. Solve 0 = t*o - 0 - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 7 + -43 - ((2 - 19) + (0 - -3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 38. Determine h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 2734 = -1150. What is the greatest common factor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-34.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182\/9, 2, -5, -542, -3\/7, 0 in increasing order.\nAnswer: -542, -5, -3\/7, 0, 2, 182\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*x + 356 = -9*h, 3*x + 213 = -3*h. Calculate the remainder when -5*(6 - h\/(-5)) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 - 78*q**3 - 172*q**2 + 312*q + 656 = 0.\nAnswer: -2, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -628, -557, -522, -535?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 - 46908*z - 982877. What is g(-21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -0*o. Let m = 48 + o. What is the remainder when m is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3461793, 6923519, 10385243, 13846965, 17308685, 20770403, 24232119?\n\"Answer: -c**2 + 3461729*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b*b*b**11)**(2\/27)*(b**(-1)*b)**50\/(b\/b**(2\/3))**(-29) assuming b is positive.\nAnswer: b**(299\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -645 (b) 3\/10 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3358 = 2*o, 4*w + 72*o = 71*o + 2689. Let f be ((-10)\/15)\/(1\/(-21)). What is the highest common divisor of f and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) -1.8 (c) 2 (d) 3 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 2*n)*(13 - 9 + 4) + (2 + 2 - 5)*(2*n - 3 + 3) + 0*n + 60*n + 58*n.\nAnswer: 100*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-y - 23*y + 9*y) + (-6 + 3 + 4)*(-1 - 2*y + 1) + 3 - 3 - 2*y + 3 + 2*y - 3.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/5)*a*a*a)\/a)**(12\/11))**(3\/20) assuming a is positive.\nAnswer: a**(108\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5032, -1 in decreasing order.\nAnswer: 5032, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58528.75 rounded to the nearest 100?\nAnswer: 58500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-4126)\/8 + 0)\/((-796)\/(-160) - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22073500?\nAnswer: 2, 5, 131, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15950302*o*s**5 + 2*o*s**3 - 15*o*s + 89*o + s - 755 wrt s.\nAnswer: -319006040*o*s**3 + 12*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2. Let a be u(-2). Suppose -40 = 3*j + a*f - f, -2*j - 3*f = 27. Let s = -33 - j. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67530, 66618, 65706, 64794, 63882?\n\"Answer: -912*t + 68442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 226.3*-3405\nAnswer: -770551.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -921 (c) 2\/3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 25.957654?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 13*r = 0. What is the units digit of 31 - (1 + r + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 9 + -20 + -3 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 118, 8, 2, -4, 0 in ascending order.\nAnswer: -4, 0, 2, 3, 8, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (142397\/(-2 - -1))\/((-9)\/((-72)\/(-8))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 6 (c) 3 (d) 4.04 (e) 4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14305 (base 6) to base 2\nAnswer: 100011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.116 - 0.07.\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 25 - 5 = 4*n, 4*n + 4*p = -4. Solve n*m - 4 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o - 3. Let k be (-17)\/(-3) + 10\/(-15). Suppose -5*x - 25 = k*g, 3*g = -4*x + 2*g - 14. Give c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 78, 121, 166, 213, 262, 313?\n\"Answer: a**2 + 38*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10*g**3 + 47*g**2 - 69*g + 422. Let a be n(5). Let l(r) = -3*r - 2 - 2*r + 3*r. Let s be l(-3). Solve 2*c + a + s = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1803 + 1802. Which is the third smallest value? (a) 25 (b) 2\/11 (c) 4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*t = -8353, 2*c - t + 41765 = 7*c. Is 14\/105 - c\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 11*k - 8. Let p be l(-13). Suppose 0 = -c - z + 6, 5*z - p = -5*c + 3*z. What is the smallest value in 0.3, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5624\/(-2109))\/(((-8)\/18)\/((16\/15)\/8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -13*v**3 - 28*v**2 - 27*v + 1. Give f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 16) in base 6?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 1\/16*h**4 + 1\/40*h**5 + 0*h**3 - 49 - 1\/80*h**6 + 2*h**2 + 0*h - 1\/140*h**7. Factor s(t).\nAnswer: -3*t*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/45*1179\/2. Suppose -h - 1290 = -5*r, 5*r - 3*h = 2*r + w. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117352147 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.12, 3, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -0.4 (b) 0.8 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1756 + -1444. Calculate the greatest common factor of p and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 1 - s**4 + 2*s**4 - s**2 + 5*s - 5*s to o*s**3 + x*s**2 + m*s + t*s**4 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 68*r - 66. Let p = 118 + -83. Let f = 15 - 13. What is the remainder when k(p) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:26 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 334 = -49. Let w = a + 252. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3840728403 + -3840728367.99999374. Let d = -35 + j. What is d rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 20 = 29*k. Suppose -4*t - 3231604 = -104031600. Suppose -4*o = -d - t, -3*o + k*o + 4*d = -6299996. Round o to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781422?\nAnswer: 2, 7, 198673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.062053 and 188.\nAnswer: -11.665964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 19.47 (c) -0.5 (d) 0.1 (e) 0 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176) + sqrt(24))\/sqrt(3).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**4 + o**3 - o + 1. Let d(c) = 21*c**4 + 53*c**3 + 220*c**2 + 382*c + 238. Let x(a) = -d(a) - 2*m(a). Factor x(u).\nAnswer: -5*(u + 2)**2*(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j + 12*j + 8*j**3 + 77 - 5*j**3 - 22*j as h + w*j**3 + c*j + k*j**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzypg. Give prob of picking 1 g, 1 y, 1 p, and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 742*l + 4 - 3. Let p be 7\/3 - 2\/(-3). Put -4, p, l, -2 in decreasing order.\nAnswer: p, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 26684605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521617 to the power of 1\/2, to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77521, 77620, 77791, 78040, 78373, 78796, 79315, 79936?\n\"Answer: w**3 + 30*w**2 + 2*w + 77488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 6. Let n be t(-5). Let d = -13289 - -4358791\/328. Is n != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 204 - 548 = 0. What are the prime factors of h?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3, -5, -2, -162 in decreasing order.\nAnswer: 3, -2\/9, -2, -5, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = o + 19 - 0, 4*g = -16. What is the fourth biggest value in -0.3, o, -2\/3, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 0*n = 0. Suppose c + 2 - 12 = n. Solve -2*d - c = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/3, -116, 2\/11?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -2. Suppose -i + 4*i - 15 = 0. What is the remainder when i is divided by (-24)\/6*u\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -25*r + 33. What is x(7)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/162)\/((-222)\/(-333))*(-9)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -4. Let w be x\/(-14) + 4\/(-14). Let t(v) = w*v + 5*v - 5*v + 2*v**2. Let r(p) = -3*p. Calculate r(t(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 568332478 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.42 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-3)\/18)\/((-8)\/(-24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d455 (base 15) in base 7?\nAnswer: 545240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 14\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 18, t: 2}. Give prob of sequence zzzt.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24752969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 952 or -0.1?\nAnswer: 952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14583871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13404855 rounded to the nearest one hundred thousand?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, -1\/14060, -0.32, 2 in descending order.\nAnswer: 2, -1\/14060, -0.32, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 - 99*b**2 + 0*b + 43*b**3 - b - b + 100*b**2 to p*b**3 + z*b + q*b**4 + s*b**2 + c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**(-4\/7)*o\/(o**2\/o)*o\/(o*o**1)*(o**(-2))**(-13\/4)*o\/o**9*o**(2\/5) assuming o is positive.\nAnswer: o**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622894349?\nAnswer: 3, 41, 47, 280729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -282423061 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = -3. Let n = z + -2. Let r = 21 - n. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 1764, 3968, 7054, 11022?\nAnswer: 15872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (2\/(-10))\/(4\/(-4540)) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 greater than or equal to 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.596 + -16.915. What is l rounded to 1 dp?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**2 + 1 + 3*z + 1\/3*z**3 + 1\/4*z**4. Suppose -5*o = -3*h + 40, -2*h + 7*h + 2*o = -16. Determine b(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4990, 4936, 4882, 4828, 4774?\n\"Answer: -54*d + 5044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8665709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*-5*-38*13\/(-26)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2316 times 1\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 6*b - 2*b + 3)*(2 - 2 - 4*b - 5*b + 0*b + 4*b + (-2*b + b + 3*b)*(1 + 0 - 2) + 167*b - 140*b - 628*b).\nAnswer: -608*b**2 - 1824*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 447951 + 220815. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/2)\/n)**(-8\/11)\/(((n\/((n**(2\/15)*n)\/n)*n)\/n)\/(n\/(n*(n\/n**(-2))\/n*n)*n)) assuming n is positive.\nAnswer: n**(-533\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079160822 - -0.0494?\nAnswer: 1079160822.0494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31\/58 + 1\/29. Let u = 16\/19 - 1411\/1653. Let t = u - -10\/29. Which is bigger: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (707\/1)\/((-4)\/(-2)). Let l = 340 - k. Find the common denominator of 24\/7 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 8. Let d = 33 - 32.7. What is the biggest value in -4, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 63 - 255 - 415*p + 0*p**3 + 27*p - 200*p**2.\nAnswer: -4*(p + 1)**2*(p + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 82\/3019 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (9 + -16 - -1)) + 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000446952681 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1615 + -1616.12. Round k to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4522252213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 168 = 4*a. Suppose 2*x - 4*r = 238, -244 = -3*x + x + r. Suppose a = -3*z + x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4858408855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2857*j + 838. What is the tens digit of d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z**4\/12 - 51015*z**3\/4 - 3521552*z**2 - 8433361*z\/3 - 561816 = 0. Calculate z.\nAnswer: -5832, -289, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.2 (c) 32\/3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*w - 297, -45 - 102 = -2*q - 3*w. Suppose -3*x + q = -0*x. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 265 in decreasing order.\nAnswer: 265, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*x = -x - 13, 4*n + 2*x = -28. Let r = 74\/65 + -20\/13. Let z = -86 + 86. What is the closest to 1\/4 in z, r, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b**5 + b - b + (b**2 + 2*b - 2*b)*(2*b**3 + 2*b**3 - 2*b**3) + b**5 + 4*b**4 - 4*b**4.\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.34505*-0.4.\nAnswer: -1.33802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -4 (c) -4\/13 (d) 3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 6}. What is prob of picking 2 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 12*p - 3. Let o be y(6). Let b = o - -31. Let r(h) = -23*h - 9 + 1 + 21*h. Give r(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33142, 66373, 99712, 133159?\n\"Answer: 54*f**2 + 33069*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**3 + 25705*a**2 + 515725*a + 1935375 = 0?\nAnswer: -15, -5, 5161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -57815434.3959 + 11?\nAnswer: -57815423.3959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 0 + (0 + sqrt(171))**2 + 2 + (sqrt(114) - (sqrt(114) - 1*sqrt(114)))\/sqrt(6).\nAnswer: 6*sqrt(19) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Suppose l - 7 = 4*k, -l + 5*k = -13 + 5. What is the third derivative of u**6 - 153*u**3 - u**2 + p*u + 151*u**3 + l*u wrt u?\nAnswer: 120*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/55)\/((-4)\/10). Determine t so that c*t**2 + 1\/4 - 3\/4*t = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7246941 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.1, 5\/2, 0.1, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -853*z - 9. Let n(s) = -10*s - 1. Give -f(i) + 6*n(i).\nAnswer: 793*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151 - -373. Let s = b + -200. Calculate the remainder when 86 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 1584.72732711.\nAnswer: 1585.22732711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 2*p**2 + 5*p - 2. Calculate g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/673 - 46435\/1346. Let d = -20\/21 + 271\/42. What is the common denominator of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 4 + 4 + 0*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1967\/478586 + 2\/883. Sort 1\/6, g, -4 in increasing order.\nAnswer: -4, g, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 27. Let o be k(-8). Suppose -o*s + 18 = -5*s. Suppose 4*c + 5*t = 256, t - 2*t - 192 = -s*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (42\/3 - 15)\/(2\/14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264932075 to the power of 1\/2, to the nearest integer?\nAnswer: 16277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13407 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/2)\/(103*(-322)\/(-3316600)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(0*s - 8*s + 2*s) - 5*s - 3 + 3 + (-1 - 1 + 1)*(3*s + s - 3*s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + g = 32, -2*w + 94*g - 27 = 99*g for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 14.8. Let m = d - 0. What is the nearest to m in 0.1, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/21 - (-2)\/7) + -134. Let y = u - -138. Which is the closest to 0.1? (a) y (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 + 449*y + 20. Let p be z(-56). Is p less than or equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) -3 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let n(d) = -29*d - 273. Let h be n(-10). Let q(m) = 17*m + 12. Let j(b) = -49*b - 34. Let y(l) = h*q(l) + 6*j(l). Calculate o(y(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16005.\nAnswer: 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -474\/13 - -1409\/39. Which is the nearest to g? (a) -0.046 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.819 - 0.819373. What is y rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 1. Let r(l) = 16*l**2 + 45*l - 8. Let f(w) = 13*w**2 + 39*w - 7. Let k(t) = -7*f(t) + 6*r(t). What is k(s) + v(s)?\nAnswer: 4*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5 in decreasing order.\nAnswer: 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*h**2 + 17 - 12744*h**5 - 682*h**6 + 3*h - 17 + 12744*h**5 wrt h?\nAnswer: -81840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8884*s - 13980. What is the hundreds digit of g(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 3*n - 47, -4*n + 77 = -3*b + 27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/252*(25515\/(-18))\/63?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7752 + 11*x - 26*x**2 + 7752 as t*x + u*x**2 + a and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 5*x**2 - x + 3*x**2)*(-36*x + 3*x - 6*x)*(-1 + 2 + 0).\nAnswer: 78*x**3 + 39*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 13*i**2 - 5*i - 10. Give p(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56.1 in -82, -677, 0.2?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-7 + 80)) + 0 + -11 - (20 - 7)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-14)\/(-60))*9. Suppose 5*q + n = 5*i, 5*q - 11 = -i + 61. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/16)\/((30\/(-8))\/15). Which is the closest to 1? (a) -0.3 (b) q (c) 3 (d) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/6 - (33825\/396)\/(-41) - 14\/(-744)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 159?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.471 and -66635?\nAnswer: 66634.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {c: 1, l: 8, n: 3, a: 1, f: 3, z: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95253.\nAnswer: 3, 31751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545701?\nAnswer: 13, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 14}. What is prob of sequence oy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*-1)\/(-5*(sqrt(11)*1 + sqrt(11))) + (sqrt(50) - (5 + sqrt(50) + -1))**2 + sqrt(98) + -1 + 1*sqrt(98).\nAnswer: 15 + 73*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(2\/3)\/h*h*h**(-9))\/((h\/h**(2\/3))\/(h*h**(1\/2)*h)) assuming h is positive.\nAnswer: h**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + (-15)\/(-6). Suppose -n = -u*n - 1. Let b be 0 - n*1\/1. Is b less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Let y(w) = w - 2. Let n be y(f). What is the derivative of -3 + o**4 + 4 + n wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyftyy. Give prob of sequence tf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6988 = 970*t + 771 + 1 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 11:53 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 3. Let c(f) = -4*f - 7. What is 5*a(n) - 2*c(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14040 is divided by 3109?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11320 - -11320.44628. What is t rounded to 2 decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 2*j**2 + 5*j - 3. Let b be v(3). Let i = 2 + b. Let f = i + 25. Solve 6*u = f*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 20 = 3*g, 51520*l - 2*g + 4*g = 51523*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 6 + 48 + 14 + 6 to the form w + f*y and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 0*w**2 - 9 + 2*w**2 + 2*w**2. Let n(p) = -p**2 + p**2 + 2 - p**2. Suppose -5*g + 11 + 2 = -c, -3*c - 7 = g. What is g*y(l) + 9*n(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1863000000 = -19*n. What is n rounded to the nearest one million?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyllzrm. Give prob of picking 1 y and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10518657 and 1207059.\nAnswer: 73630599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -11 + (4 + -14 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51535607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/1080 - 13*l**5\/180 + 49*l**4\/108 + 20*l**3\/3 - l**2 + 64*l - 8. What is x in t(x) = 0?\nAnswer: -2, 5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-9))\/((-209)\/(4062960\/(-480))).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k**(1\/5))\/(k**(-1))**(-2\/65))\/(k**(1\/10)\/(k*k**4*k)*k\/k**(-2)*k*(k*k**1)\/k) assuming k is positive.\nAnswer: k**(-641\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.41 - -2.56266. Round k to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5, -3\/4, -2, -12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 12, 29, 62, 117, 200?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*n - 313*n = -1034*n + 338*n + 2112 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2745 is divided by 139?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122272864*i + 244545728*i - 122272863*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-178)\/(-3471))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43 - 41 - (0 - -1). What is the units digit of m*139*6\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040421 - 73551110?\nAnswer: -73551110.040421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1, 2\/11, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 106, 118, 132, 148?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8145943 is divided by 452.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -0.3 (c) -433 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 9. Suppose -8*b = -u*b + 4*a + 28, -8 = 4*a. Let s be ((-2)\/b)\/(2\/(-3 + 171)). Is s smaller than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/19245 and 26\/262269?\nAnswer: 1682455635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 - 125*k + 95)*(3*k**3 + 4*k**3 + k**3) - k**4 + k**4 + 2*k**4 + (-5*k + k**3 + 5*k)*(-13 + 13 - 6*k).\nAnswer: -1004*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672412 is divided by 641.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + c - 5, -9*d + 8*d - 3*c - 7 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 21 + 3. Suppose -2*d - a = 1. What is the tens digit of (2 - (1 + d)) + (-24)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -158, -185, -240, -329, -458, -633?\n\"Answer: -f**3 - 8*f**2 + 4*f - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11914 and 2087022.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6922 is divided by 1250.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25768316.\nAnswer: 2, 7, 31, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 69\/(-276)*(-25)\/45*-6*(-18)\/10\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*n + 16, 4*c + 2 = 3*c - n. Suppose 5*y - 105 = c*t, -2*t - 20 = -3*y + 39. Solve -2*f = -3*f + q + 3, 5*q + y = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 143. Is g(14) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000507446504 to seven decimal places.\nAnswer: -0.0005074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 7 = -2*q + 15 - 6 + 9, 7*u = 5*q - 43 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2. Let b(k) = -22331*k. Determine b(j(f)).\nAnswer: -66993*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o. Suppose i - 5*i = o. Let k = i - -4. What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127080 and 27887?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 - 263. Suppose -506 = -j*f - f. What is the remainder when 91 is divided by f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2987 - 2984. Let s = -2 - -6. Suppose -o + 8 = -2*z - 0*o, -5*z = 4*o - 6. What is the second smallest value in k, z, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4485 - -4484.999995249. What is w rounded to seven decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4\/2 + 147*f**3 - 303*f**2\/2 - 297*f = 0.\nAnswer: -99, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*a = 4732 + 992 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72785597 is divided by 346?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m**2 - m - 185*m**2 + 19*m**2 + 14*m**2.\nAnswer: -83*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(4\/12). Let t = -37\/6 + 179\/30. What is the closest to -2 in a, 2\/15, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -88*n + 99*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1079*f**4*o - 10*f**3*o**3 + 2*f*o**3 + 13232*f wrt f?\nAnswer: -12948*f**2*o - 60*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 6*b**3 + 10*b**3 + (-9 - 4*b**2 + 9)*(b + 0*b + 0*b) + 5*b**3 + 0*b**3 - 4*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 182*w**2 - 4*w - 9. Let i be y(-4). Suppose 7035 = 5*g - 4*j, -i = -5*g + 3*j + 4111. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69058060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 5. Let m(r) = 102*r + 2541. Let n be m(-25). What is a(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3788204*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004575 to five dps.\nAnswer: 0.00458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -559.\nAnswer: 106.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142\/((-77248)\/(-19992))*6\/63*3.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -534*v**2 - 2*v**3 + 8*v + 37974 - 37974 + (-3*v**3 - 2*v**3 + 3*v**3)*(0 - 1 - 1).\nAnswer: 2*v**3 - 534*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 20 = -4*r, -4*z = r - 16. Find the third derivative of -15*s**2 - 19*s**2 + 17*s**2 + 13*s**4 - s**z wrt s.\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3572*q - 3560*q - 4428. Let u(o) = -o**2 - o - 205. Let d be u(0). Let b = d + q. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -64\/3*y**3 - 16\/3*y**4 + 114\/5*y**5 - 296\/105*y**7 + 173\/30*y**6 + 1\/4*y**8 - 332*y**2 + 0*y + 0. Let p(k) = 0. What is k?\nAnswer: -1, -2\/7, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - 1012?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 7, b: 6, e: 3}. Give prob of picking 1 b, 2 e, and 1 q.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2052 divided by 228.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11555 (base 6) to base 16.\nAnswer: -6bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47.4? (a) 4 (b) 1\/5592 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) 2739 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**4 - 6*q**3 + 4*q**2 + 4. Let y(a) be the first derivative of -a**5 + 3*a**4\/2 - 4*a**3\/3 - 3*a - 5. Let d(v) = 3*t(v) + 4*y(v). Factor d(l).\nAnswer: -2*l**2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98.6 - -1.6474541.\nAnswer: -96.9525459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 23*x + 2. Let h be (x + -4)\/((-30)\/20). Suppose u + 0*u - 5*r = -6, 10 = h*u + r. Solve -3*k + u*k - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 8*k**2 - k + 3. Let d be f(8). Is -2 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 13759\/319?\nAnswer: 13759\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49955131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j**3 + 7*j**3 - 19*j**3)*(122*j + 32*j + 4*j).\nAnswer: -4108*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p - 1. Let x = -158 - -72. Let b = 89 + x. Let j be z(b). Is -34 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 2*y - 9*j + 347412, -3*y + 4*j = 521116. Round y to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 556927 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -51 times 2\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -365690 rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 10. Let y = c + 1. Suppose -5*a + 3 = -12, -3*a + 4 = -5*m. What is the least common multiple of y and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-140)\/(-44) - 3). Let u(d) = -d**2 + 10*d + 3. Let k be u(10). Solve -a + 11 = 2*i, k*i - 3*a - g = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -41. Solve -4*m - x = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -9*d + 14409. What is d rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25100 (base 7) to base 13.\nAnswer: -2cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -31*k + 27*k, -46 = -4*n + 2*k. Calculate the remainder when 796 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2539286, 5078566, 7617844, 10157120?\nAnswer: 12696394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*(6 + -3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*a - 18 = 0, 32 = 4*c - 79*a + 82*a. What is the least common multiple of 1018 and c?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 337*d**4\/4 - 2*d - 1506. Let g(p) = -5*p. Give g(v(z)).\nAnswer: -5055*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258803.5 centimeters to meters.\nAnswer: 2588.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {t: 2, m: 4, l: 5, a: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.3. Let f = -0.4 - t. Let o = f - -0.5. What is the closest to 1 in 4, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47330850*3\nAnswer: -141992550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 0.1, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3477 is divided by 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m + 1. Let i(v) = 5*v. Let b(z) = -7*i(z) + 4*x(z). List the prime factors of b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169162132849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4 (c) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o. Calculate the lowest common multiple of 8 and m(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(-6*sqrt(44)*-2 + sqrt(44))\/((sqrt(72)\/sqrt(3) + sqrt(24))\/sqrt(6)))**2.\nAnswer: 139425\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -2*i + 50. Suppose 1 = -l, -2*j = -i*j - 3*l. Is (-3)\/(-7) - 5702\/(-7)*j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.107 - -0.607. Let w = -0.1 + -3.9. Which is the nearest to 1? (a) y (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijk when three letters picked without replacement from mmjkiijii.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - s - 7*s**2 - 13 + 8*s**2. Let u(k) = k**2 - 3. Calculate -9*u(c) + 2*z(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 3*v - 3. Let l be u(3). What is the smallest value in 2\/9, l, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhnn when four letters picked without replacement from nhnnhccncnhnnnnh.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 2. Let f(o) = 2*o + 1. Suppose 0 = -p + k - 2 + 5, 2*k + 2 = p. What is p*f(w) - 3*j(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -3151*i**6\/120 + 253*i**5\/60 + 253*i**4\/24 + 2601*i**2. Let c(o) = -25*o**3 + 2*o**2 + 2*o. Give -253*c(d) + 2*k(d).\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-5)\/(-60))\/(((-615)\/(-270))\/(-41))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3351832477 to the nearest integer?\nAnswer: 57895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130066?\nAnswer: 2, 65033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(51)\/(sqrt(9)\/sqrt(3)) - (sqrt(187)\/sqrt(44) + 3 + (sqrt(17)*-2 - sqrt(17)))**2.\nAnswer: -445\/4 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15334835 and 1110.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 199, 309, 429, 559?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, x: 1, b: 3, k: 1, z: 1, p: 5}. What is prob of picking 1 p, 1 x, 1 b, and 1 z?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1258\/204 - (0 + (-105)\/(-45))?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 26609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 5.6498709\nAnswer: 26.6498709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 1054?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 77. Let v = 16 + m. Calculate the common denominator of -139\/18 and (-249)\/v*(-1)\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 814, -1, 3, -12, 4 in decreasing order.\nAnswer: 814, 4, 3, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 237 = -l, 4*l - 492 = -3*v - v. Suppose -v = -u - m, 2*u - 3*m = -0*u + 265. Suppose 5*q - u = -5. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 8*w + 4*w. Let o(c) = -769*c. Let v(r) = 15253*r. Let m(i) = -119*o(i) - 6*v(i). What is m(k(g))?\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 25*x**2 + 26*x + 7. Calculate the remainder when 159 is divided by m(24).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from inaii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 + 50.7. Let u = 48.999961 - o. Round u to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658917192 to the power of 1\/2, to the nearest integer?\nAnswer: 60489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23.5*-0.5\nAnswer: 11.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*p**2 - 31*p**2 - 22*p**2 - 26*p**2 - 630.\nAnswer: 2*p**2 - 630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69610?\nAnswer: 2, 5, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1517 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 16. Let x(m) be the first derivative of -2 + 4\/5*m**g + 0*m**2 + 0*m + m**4 + 0*m**3. Determine r so that x(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44536 divided by 11134.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 11*n + 41. Let s be u(3). Let h be (-6)\/18 + s\/((-6)\/44). Solve 8*l = h*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 21*d - 51. Let y = 23 + -8. Let m be b(y). Calculate the highest common divisor of m and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 27*g + 74. Let p be v(24). What are the prime factors of (5 - 3 - -24*1)*p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/4 + 2885*v**4\/4 - 25839*v**3\/2 + 103147*v**2\/2 + 373535*v\/4 - 2365275\/4 = 0 for v.\nAnswer: -3, 5, 11, 2867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 2*h = -4, -g - h - 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1072235 - -1854738. Let w = 782539.9951 - k. Let z = -37 + w. Round z to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*85\/(-70) - 4)\/(((-747)\/(-504))\/(-83))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4140 + -4138. Let b be (90\/33)\/3 - 1. What is the second biggest value in 2\/9, c, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.54, 2 in decreasing order.\nAnswer: 2, 1.54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -3\/28 (c) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b. Suppose -3 = -3*r + 3. Let m(a) = 7 - r*a - 7. What is m(i(d))?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9430*f - 8965*f - 18600 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 + 4*a - 6. Let p be ((-6)\/5)\/((-19)\/5 + 4). Let o be l(p). Solve 0*d - t = 3*d - o, d + 4*t = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330\/17*o**2 - 254\/17*o**3 - 2\/17*o**5 + 0*o - 74\/17*o**4 + 0 = 0.\nAnswer: -33, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozozoo. Give prob of sequence zooo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -319, -303, -287?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 4*k - 18*k)*(2*k - 216 - 8*k + 245) as u + d*k**2 + w*k and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 4*b + 4*b**3)*(-4*b + 6*b + 0*b + (-5 + 2 + 2)*(-2*b + 9*b - 2*b)) in the form y*b**2 + j + d*b**4 + z*b**3 + m*b and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1589*a - 6169 = 16077 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 153*k**4 - 543*k**3 - 1017*k**2 + 1410*k = 0 for k.\nAnswer: -2, 0, 1, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1 + 783*c.\nAnswer: 783*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52263 or 574906\/11?\nAnswer: 574906\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 + 51*a**3 + 9*a**2 - 2739*a + 5082 = 0.\nAnswer: -7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**4 - 2022*s**2 - 639*s + 3118832.\nAnswer: 8*s**3 - 4044*s - 639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28483 (base 9) to base 14\nAnswer: -70a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1944*i - 63. Let x(f) = -123*f - 4. Let d(t) = -4*w(t) + 63*x(t). Let o(r) = r**2 - 27. Give o(d(g)).\nAnswer: 729*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673426624?\nAnswer: 2, 31, 843461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38874685*n**5 - 30*n**2 + 425185*n wrt n?\nAnswer: 2332481100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/60 - z**4\/12 + 14*z**2. Factor f(w).\nAnswer: w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2151081*r + 271. Let g be z(9). What is g rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r + 20. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**6\/2 - 12*p**5\/5 - 3*p**4 + 5. Let l(t) = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - -9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:59 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**3 - 4*s**2 + 4*s + 4. Let c(g) = -5*g**3 - 3*g**2 + 3*g + 3. Determine 4*c(t) - 3*h(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*t - 3*o - 27, -35466*t = -35471*t + 5*o + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.12 + -11.12. What is the nearest to 2\/3 in -2\/7, -0.5, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5441, 9516, 13591, 17666, 21741?\nAnswer: 25816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29267 + 29266.5. Suppose 2*r + 3*y + 17 = r, r = y + 3. What is the biggest value in r, -34, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 6. Let a be l(-10). Let y(f) = -3*f + 9. Let j(g) = -5*g + 19. Let t(v) = a*j(v) - 7*y(v). Let w be t(-13). Sort 0.3, 2\/9, w in ascending order.\nAnswer: w, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, -6, -37, -102, -213, -382?\n\"Answer: -2*c**3 + c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32812\/(-2524))\/((2 - 2) + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 - 2*p - 13*p**3 + 3*p**2 + 20*p**3 - 3*p**3 - 5*p**2 in the form u*p**2 + z*p + q + w*p**3 and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**2 + 24*u - 25. Let c(r) = 7*r**2 + 23*r - 24. Let d(q) = -7*c(q) + 6*l(q). List the prime factors of d(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:04 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19390 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.08430194 to 1 decimal place.\nAnswer: 287.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 1. Find the first derivative of 3*o**2 - 1 - 1 + i wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t + 1 - 2*t + 5*t**2 - t + t**3. Suppose 0 = -4*m - 8 - 8. List the prime factors of j(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*s - 40, 110 = -3*z + s + 117. Let u(b) be the first derivative of 2 + 4\/9*b**3 + 0*b**2 + 1\/12*b**z + 0*b. Solve u(n) = 0 for n.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107588*c**5 - 325971*c**2 - 1 wrt c.\nAnswer: 6455280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/75 at least as big as -157.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080082854 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 25*r + 149. Determine j(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 5. List the prime factors of f(-17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w + 129 = 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1127 - 399. Is (o\/42)\/(4\/6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/11)))\/(k*k**(1\/3)*k))\/(k**(-1\/5))**(2\/3)*(k**(-2))**(-19)\/(k**(2\/7)\/k**(-1\/5)) assuming k is positive.\nAnswer: k**(13526\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -1, -3, -5, -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/6 and -69\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -20843678 in decreasing order.\nAnswer: 0, -6, -20843678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -772, -3090, -6956, -12370, -19332, -27842, -37900?\n\"Answer: -774*n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in months?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51145231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435283777 to the power of 1\/2, to the nearest integer?\nAnswer: 58611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n - 14*n - 17*n + (0 + n + 0)*(2 + 3 - 6))*(3 - 5 + 3).\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11) + -4)**2 + -3.\nAnswer: -4*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13108, -13109, -13110?\n\"Answer: -t - 13107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472432?\nAnswer: 2, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135356\/157899 + 2\/22557. Which is the third biggest value? (a) -1\/8 (b) -1\/3 (c) m (d) 2\/31 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - (-4 + (-2 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**4\/7 - 954594*n**3\/7 - 954588*n**2\/7 + 954594*n\/7 + 954591\/7 = 0?\nAnswer: -318197, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {d: 4, m: 1, n: 6, l: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 20*z**3 - 4*z**2 + 11*z. Let d(v) = -21*v**3 + 3*v**2 - 9*v. Determine 4*d(g) + 3*k(g).\nAnswer: -24*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -2, -5, -4, 0, 10 in descending order.\nAnswer: 10, 0, -2, -4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 - -2?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70792270.\nAnswer: 2, 5, 107, 66161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssrstrsrrsrrrsrrsrr.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -5. Let v = t + 4.3. Let q = 66 - 65. Which is the smallest value? (a) v (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(2\/3)))**1)**(2\/11)\/((((g*g\/g**1)\/g)\/((g\/g**(4\/9)*g)\/g))\/(g*g**(1\/4)*g)**(-2\/15)) assuming g is positive.\nAnswer: g**(133\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*(p\/p**(-1\/7))\/p)**(2\/15)*((p**1)**10)**(-2\/5) assuming p is positive.\nAnswer: p**(-281\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 + h**2)*(-2*h - 2 + 2)*(2*h - h + h)*(-2474*h - 7014*h - 846*h - 1714*h).\nAnswer: -48192*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6793673 centuries?\nAnswer: 0.06793673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/52 and -46\/143.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**(-10)*((o\/o**1*o)\/o)\/o**15)**(2\/83) assuming o is positive.\nAnswer: o**(-250\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -11. Suppose 0*i + q = -k*i + 33, 2*q = 3*i - 22. List the prime factors of (4\/(i\/(-26)))\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1293 divided by 3.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 322 - 160 - 162 + 115*r**2 in the form y + u*r**2 + t*r and give u.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*r + 31*r + 4*r**3 - 20*r + 4*r to the form m*r**2 + o + v*r**3 + i*r and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2689 - -2?\nAnswer: -2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5072\/15 at least as big as 337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5523\/4 + 2\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778 a factor of 103411050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.626 rounded to one dp?\nAnswer: -157.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200951 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 28. Let j = q + -7. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13 + 0*j**3 + 3*j**2 + 4*j**2 + j**3. Let q be g(-6). Find the second derivative of -6*v**2 - 23*v + q - 23 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 - 76*s**2 + s - 16. Let j be u(19). What is the third derivative of 111*h**3 + 115*h**3 + 155*h**2 + 114*h**j - 5*h**4 - 347*h**3 wrt h?\nAnswer: -120*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22\/7 + -81\/28. Let r = 17\/20 - v. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*j + 31 = 0, 3*n = 2*n - 3*j + 7. Let y be n\/3 - (-2)\/(-6). Let v be (-2)\/y*(2 - 2). Solve -3*t + 0 + 3 = v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-6*(sqrt(66) + ((sqrt(66) - 3*sqrt(66)*-6) + sqrt(66) - sqrt(66))))\/(3*sqrt(384)*-1*1))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10.1 (b) -1\/3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b - 9. Let j = -91 + 55. Let w(t) = t + 1. What is j*w(x) - 4*g(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - 3) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 41*m**2 + 317*m - 72. Let o be s(6). Let b be 10398\/(-135) + 4\/18. Is o greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {l: 5, o: 3, q: 1, a: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -106\/9 (b) 5 (c) 3 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(216\/6) + (-564)\/(-27) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 109. Let k = -107 + 101.3. Let x = k - q. Which is the second biggest value? (a) x (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122080+2\nAnswer: -1122078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -59, -83, -105, -125, -143?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 12.08.\nAnswer: 12.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -486 - -484. Suppose 2*p - p = 5. Let v = p + b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27315 (base 8) in base 9?\nAnswer: -17382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17092 to the nearest 100.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.041 + -0.559. Let d = j + 4.6. What is the closest to 1 in 0.2, d, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2*x - 30 + 7 + 6 to the form h + n*x and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297360 is divided by 32859.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167896093 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24528\/(-1116) + 124\/(-5766)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 2*u - 4. Let w be x(-2). Suppose 0 = -b - l - 4*l - 44, -3*l = -w*b - 153. Let r = 76 + b. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y + 0*y**4 - y**4 - 4*y + (2*y**3 - 2*y**3 + 2*y**3)*(-4*y + 3*y + 3*y) + (-2*y + 2*y - 2*y**3)*(24 - 24 + 2*y).\nAnswer: -y**4 + 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6571 = -5*t - 3013, t + 4801 = b. List the prime factors of b.\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 546 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z, 4*r + 12 = -z - 16. Let k = r - 3. Let c be (-26)\/k + 18\/(-30). Sort 3, c, 4.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*r + 9, 234*r - 18 = 2*g + 235*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 49*u + 147, -2*u + 3*u + 44 = -j + 41 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 times -13?\nAnswer: 2899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18974 is divided by 18972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2 - 15. Let w(n) = 3*n - 13 + s. Let p(h) = 2*h**2. Give p(w(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 8*g + 24. What is h(15)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t - 41. Let o be k(4). Solve -o*v + 5*v = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27685 + -2025. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238.9 + 239. Let x be (3 + 0)*(1 - -2). Suppose -3*d - 18 + x = 0. Sort u, d, 1\/13 in descending order.\nAnswer: u, 1\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*k**2 - 24*c**3*k*m + 5*c**3*m + 200*c**2*k**2*m - m wrt k.\nAnswer: 4*c**3 + 400*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-9 - -12 - (2 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*(101 - 11*a - 101) - 2*a**2 - 10*a + 10*a.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -1325\nAnswer: -12\/1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 326321701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -969, -2, 8, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:41 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {c: 2, f: 1, x: 3, a: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {a: 18, i: 2}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 1976. Let h be z(0). Suppose -9*y = -4414 - h. What are the prime factors of y?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 336\/35*((-30)\/9 + 0). Let n(f) = -2*f**2 - 64*f + 1. Let m be n(s). Which is greater: m or -4\/41?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(2\/5)\/w))*w**(2\/9))\/(w**0)**(-3\/10) assuming w is positive.\nAnswer: w**(-17\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -6148.\nAnswer: -614.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45276 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-7\/4)\/r*r)*r\/r**(-11)*r*r*r**(-2)\/(r\/(r*r**13\/r*r*r)) assuming r is positive.\nAnswer: r**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*p - 1397 - 1470 = 2593 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -279, -287, -295, -303, -311?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-2))\/(0 - 3))\/(552\/414).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(6\/(-2))*9. Suppose 0 = -5*h - s*b - 9, b + 4*b = -15. Solve h = -4*a + 9*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284985 - 426078 = -392*f + 23*f. What is the highest common factor of 94 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 5*z**3 - z**3)*(-1 + z + 1) - z**4 + 2*z**4 - 7*z**4.\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -354, -302, -244, -186, -134, -94?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -5*u - 133, 819*u = -2*f + 821*u + 54 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*c + 11542 = -33932 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1129, -1131, -1133, -1135, -1137, -1139?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1526 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2486 divided by 596.\nAnswer: 1243\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*a - 2385 = 0, g - a - 477 = 2*a. Solve 5*f - g + 472 = 5*j, -5*j - 25 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.007 and -22.\nAnswer: 44.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 1045*b.\nAnswer: -5*b*(b - 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 23, 7, -4, -233, -2 in descending order.\nAnswer: 23, 7, 5, 4, -2, -4, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (35 - (-10 - -26))) + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 4. Let y be k(2). Suppose 4*l - y - 8 = 0, 0 = -5*o + 4*l - 2. Suppose h + 0 = -o. Put 3, -5, h in decreasing order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 2\/3 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209)*6 - sqrt(209)))\/sqrt(2156).\nAnswer: -10*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30898349?\nAnswer: 1051, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*c = 7*k + 8, -k + 8 = -4*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i + 11. Let v be t(-4). Let g = 36 + v. Is 12 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-4) + -1 + 0. Suppose t*x + 3 = -3. Let v = x + 31. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/207765194 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 11*d + 26. Let p be i(6). Let x be (-3694)\/((-22)\/p - 1). Let j = -822 - x. What is the second smallest value in j, 5\/4, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/(-2) + 9\/(-6). Let f = -16 - u. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 333922453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*p - 12, -4*t = p - 2*t - 3. Suppose i + 8 = -p*i. Let j be (0\/i)\/(-2) + 20. Solve 24 = -4*n + 4*h, -5*n - h - 4*h = -j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 9. Let q be c(-5). Let l = 24 - q. Calculate the highest common factor of 40 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**3\/7 + 1403966*b**2 - 32759124*b\/7 - 26207312\/7 = 0. What is b?\nAnswer: -2\/3, 4, 1637957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.039 - -15.56. What is the fourth smallest value in p, 5, -1\/5, 3\/8, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166578.84 times 0.2?\nAnswer: 33315.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**6\/360 - 2*o**3\/3 + 3*o**2 + 21. Let t(b) be the third derivative of v(b). Let q(c) = -20*c**2. What is t(q(i))?\nAnswer: -400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26086 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 5273*k**5\/60 - 9*k**4\/8 - 21*k**3\/2 + 42*k**2 - 67. Find the second derivative of p(i) wrt i.\nAnswer: 10546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 2*b + 123. Let f be w(0). Let h(r) = -122*r**3 + 7*r**2 - 3*r + 0 + f*r**3 + 1 - 5. Calculate h(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 1. Let o(v) = 13*v - 7. Let h(l) = o(l) - 3*y(l). Let a(q) = -q - 4. Let x(s) = a(s) - h(s). Let j(b) = 8*b**2 - 2. Give j(x(d)).\nAnswer: 32*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from {z: 3, q: 13}.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20598 and 1326.\nAnswer: 4552158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = 4*d, -6 - 6 = k - 4*d. Suppose r + r = k. What is the common denominator of 59\/7 and (r + -1)\/(18\/(-75))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Suppose 9*k - 18 = 3*k. Let w(s) = -k - 2*s - 2*s + 3. Give i(w(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*b**2 + 2*b**3 - 46*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13446.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j**3 + 0*j**3 + 3*j**3)*(10 - 28 - 22 - 6) to the form h + s*j**2 + t*j + b*j**3 and give b.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-29)\/n*n*n**(2\/49) assuming n is positive.\nAnswer: n**(-1370\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 6 + 15 + 2*n**2 + 12)*(-6*n + 2*n + 0*n + (-2*n - n - n)*(-3 - 2 + 0)) as r*n + v + j*n**3 + u*n**2 and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/4 - 27*c**2\/4 - 15*c - 9 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o. Suppose 3*r + 4 = -5*t - o*t, 0 = 2*t + 4. Let k be ((10\/(-8))\/1)\/((-204)\/816). Solve -20 = 5*n - k*s, n + 2 - 7 = -r*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*i + 10 + 3*i**2 + 241*i - 10.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 5278*k**3\/3 + 5333*k**2 - 2*k - 4472. What is the derivative of l(j) wrt j?\nAnswer: 10556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 d when three letters picked without replacement from hxdxxxjjyhdhjdg?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -21*(-388527)\/801 + -7. Let b = u + -10179. Calculate the common denominator of b and -33\/10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*8\/64*12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 93243.9856 rounded to the nearest ten?\nAnswer: 93240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/2 of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 160*b + 13753. Calculate l(65).\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 - 4*m**2 - 9*m + 40. Calculate u(-5).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 40*y**2 + 177*y - 66. Let r be t(35). Which is the fourth smallest value? (a) 0.2 (b) r (c) 0.333 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-28*(-50)\/700).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 7*w**5\/60 + w**4\/4 + 2*w**3\/3 + 2*w**2. Let g be a(-4). Let x = g - 43. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7173367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*t = -112*t + 3680 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*o + 3*o. Let k(l) = 2 - 3*l**2 + 4*l**3 + 11202*l - 11208*l - 3*l**3. Give k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1709092 (base 10) in base 15?\nAnswer: -23b5e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116185081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 9*s + 12. Let c be u(9). Let w be 4*9\/c + -3. Factor -1\/5*p + w + 0*p**2 + 1\/5*p**3.\nAnswer: p*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 20. Let o = d - -38. Suppose 3*n = -5*v + 28, v = 5*n - v - 26. Calculate the smallest common multiple of o and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39223035 to the nearest integer?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -150*((-9)\/(-14) + 0). Let y = 96 + k. Which is the third smallest value? (a) 5 (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1690\/(-3380))\/(6\/28)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2369 is divided by 250?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 - (-1000)\/70. Let c be x*(-2)\/(8\/(-4)). Suppose 0 = 4*i, -5*i - 152 + 12 = -2*d. Calculate the greatest common divisor of c and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141493981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -5*f**2 - 1\/80*f**6 + 0*f + 0*f**3 + 1\/420*f**7 + 1\/40*f**5 - 1\/48*f**4 + 0. Let x(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80028 and 1989.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unagnmuhaughga. Give prob of picking 1 a, 1 u, and 2 g.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 141349902\nAnswer: -424049706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 - -2. Let v = o - 3.9. What is the closest to -0.1 in -3, v, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 2052?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 17)*(2*l**3 + l**3 - 7*l**3).\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.34076 micrograms in grams?\nAnswer: 0.00009634076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/392119 and -9\/648713?\nAnswer: 140770721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 87 = -3*b + c, 0 = -5*b + 2*c + 426. Let p = -39 + b. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11771 and 1.5?\nAnswer: -17656.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q**(1\/4)))\/q)\/q)**(-31))**(-2\/73) assuming q is positive.\nAnswer: q**(-279\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -258904 divided by -64726?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*i = -80*i - 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-5))\/((-4)\/(-110)). Suppose 18*b = 9*b - 180. Let d = b - t. Solve 3*x + 2*u + 1 = -2, -2*x - d*u - 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c + 4*t - 30, -2*c + 10 = 2*t. Suppose 0 = 2*f - c, -r - f = r - 13. Let p = 34 + -19. Solve r*i = i + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 1. Let h(w) = -42*w + 6. Let x(v) = h(v) - 6*s(v). Does 19 divide x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s + 20 = -4*d, 0 = -3*d. Suppose -2 = -s*l + 3. Calculate the smallest common multiple of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 627475 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 48 = 3*j, -144 = -18*r + 4*j + 72 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k - 27 + 2*k + 17*k - 17*k in the form v*k + d and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15962977 to four decimal places.\nAnswer: 0.1596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189910702, 189910706, 189910712, 189910720, 189910730, 189910742, 189910756?\nAnswer: 189910772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13005948 divided by 4\nAnswer: -3251487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = 1108 - 1042 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u - 11070 + 102270 = 0. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9983, -9990, -10007, -10040, -10095, -10178, -10295?\nAnswer: -10452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/30 + r**4\/24 - 3*r**3\/2 - 3*r**2. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + -109. Suppose 0 = 4*n - r - 100. Suppose -176 = -5*w - 4*c, -56 - n = -2*w - 5*c. Calculate the least common multiple of w and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a89 - ab0d?\nAnswer: -b697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.09, -3\/2, -1\/2, 5\/6, 1, -0.236?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -56, -92, -130, -170?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (32 + -20) - 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48385801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**44*((c*c\/c**7*c)\/c)\/(((c*c\/c**(-40))\/c)\/c) assuming c is positive.\nAnswer: c**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2761897042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/11 and 19\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.89 + -25.2. Let a = 43 - 12. Let b = a - q. What is b rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 605690880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000429 to 6 decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from {r: 7, h: 2, y: 5}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 45 + 48. Let m be (-13)\/39 + a\/(-3). Let r(d) = d + 3. Let v be r(0). Solve -u = 5*j + 2 + m, 4*j + 3*u = -v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 22*s + 3*g - 2883533, 2*g = -s + 180219. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 574557072 - 574557174.9999878. Let z = -74 - 29. Let p = z - g. What is p rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 5*t - 12*t - 3*t + 20 to y*t + v and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.4, 2\/11, -1, 1, 87 in increasing order.\nAnswer: -1, -0.4, -1\/3, 2\/11, 1, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = -3*j - w, j + 5*w - 1 + 113 = 0. Let y = j - -143. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2113 = 2109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**7\/b)\/b*b\/b**(2\/3)*b)\/(b**(-2))**(-11)*b**(-3\/4)\/(b\/((b*b\/(b\/((b*b**(-6))\/b)))\/b))*b**(2\/21)*b*b\/b**4*b*b assuming b is positive.\nAnswer: b**(-625\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 265*i**2 + 7196*i + 920. Determine w(-23).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5890)\/21204*36\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*(-7)\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100120002 + 11121?\nAnswer: -100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -92.1283\nAnswer: 36.85132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5302789 - -0.4.\nAnswer: -0.1302789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 372\/5 - 74. Which is the third smallest value? (a) 3 (b) v (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -0.06 (b) -3 (c) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 108.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20959 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 + 26*h**2 - 40*h + 27. Let v be r(6). Solve s + 5*l + 28 = 0, -72*l = 5*s - v*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r - 1. Let h(k) = 4*k**3 - 3*k + 5. Let y(a) = -h(a) - 3*x(a). Determine y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -25 - (124 - 135) - -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 - 4*c + 7. Determine n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:56 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 1 + -4)**2 - sqrt(1088) - (0 + sqrt(1088) + sqrt(1088))*5)*-3 + 0.\nAnswer: -3291 + 408*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 5\/2*q**2 - 1\/3*q**3 - 3*q - 1\/4*q**4 - 2. Give c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/7 - 142*s**4\/7 + 1518*s**3\/7 + 1834*s**2 + 25696*s\/7 + 14520\/7 = 0. What is s?\nAnswer: -3, -2, -1, 22, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = -8. Let w be 1\/(k + (-9)\/(-6)). Let b(r) = -r**3 - r**2 + r + 1. Let x(q) = -q**2 - q. Let t(l) = -b(l) + x(l). Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05893148087 to four decimal places.\nAnswer: -0.0589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/5660 and -95\/23176.\nAnswer: 32794040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1344*z**3 - 2535*z**3 + 1173*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 times 0.03?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3778789 or -3778788?\nAnswer: -3778789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 6*u**2 + 4*u + 6. Let n be p(6). Suppose 0 = 8*o - 2*o - n. Find the second derivative of -3*s + 4*s**5 + 2*s - o*s**5 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 30. Calculate the remainder when i is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2 of a tonne in kilograms?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = y - 7, 0*k + 4*k - 16 = -4*y. Let s be ((-1)\/3)\/(k\/3). Let d = 2 + s. Sort 3, d, -4 in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 20 = -2*q. Suppose 0 = -4*w - q*p + 1719980, 2*w - 859975 = -0*w - 5*p. Round w to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 - 0.01. Let g = q - -0.4. Suppose p - 4 = 1. Which is the second smallest value? (a) -3\/2 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/33 and 47\/222.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 23 + 10 + 30 - 28 + 21 - 3*b. Determine c(23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 - 21) + 1*6 + -2. Solve 3*m - x + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**5 + 4*p**5 + 0*p**5 + (2 - 2*p**3 - 2)*(69 + 17*p**2 - 69).\nAnswer: -36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 955083285 divided by 24489315\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 6, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 266.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -188, -165, -122, -53, 48?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/35 - (-54)\/21. Which is smaller: 22\/9 or t?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7441053 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 3*o**2 + 2 - 10*o + 1\/3*o**3. What is the units digit of s(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + v + 8 = 0, -i + v + 15 = -3*v. What is the closest to -2\/3 in -2\/17, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose 3*q - 129 = -0*i + v*i, 2*q - 3*i - 81 = 0. Let g = 28 - q. Round g to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115141630.\nAnswer: 2, 5, 107, 107609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-20)\/(-8)) - -1. Suppose 38 = c*y - 2*t, -y - y + 42 = 2*t. Suppose 3*h - 34 - 56 = 0. Calculate the remainder when h is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/7 - 12*v**3\/7.\nAnswer: v**3*(v - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1430 and -22808.162.\nAnswer: -21378.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156.298 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -5, -429, 5 in decreasing order.\nAnswer: 5, -5, -29, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 + 156. Let m be (9\/(s\/80))\/((-1)\/97). What is m rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150520446*g**3 - 34092813*g?\nAnswer: 903122676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**3 + 30*c**2 - 52*c**2 + 28*c**2 - 6*c**2.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29828839?\nAnswer: 1951, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (-12 - (-42 + 10))) + 11 + -1 + 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -41*j**2 + 2*j - 1. Let s be r(1). Suppose -3*o - 2*b + 49 = 140, -3*o - 81 = -3*b. Let z = o - s. Solve -20 = 5*t + 4*k - 5*k, 2*t = k - z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4362 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 423986072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 64. Is 418\/57*6\/j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*u - 2 - 3 = 0, 3*z - 2*u = 15. Solve v + 3*v + 5 = 3*d, -5*v + 4*d = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 9. Let i be f(9). Suppose -6 + i = -3*a. Let m = -5 - -1. What is the closest to 2\/9 in m, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - l**2 + 2*l**3 - 8*l**4 + 11*l**4 to the form v*l**4 + j*l**2 + a*l + s*l**3 + y and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11429\/9 + 1269. Sort -3, 0.5, 2\/3, f in ascending order.\nAnswer: -3, f, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 17.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - 8*w - 5. Let k be q(-4). Which is the biggest value? (a) 0.3 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39828113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/((r\/(r*r**(9\/10)))\/r*r))*r**26 assuming r is positive.\nAnswer: r**(251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 675261926 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 9*h - 6. Let i = -10 - -18. Let w be z(i). Let b(q) = -q**3 + 2*q**2 - 2*q + 3. Let c be b(w). What is c rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/7 + 42*p**2 - 446*p + 2826\/7 = 0. What is p?\nAnswer: -157, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2254, -2246, -2240, -2242, -2258, -2294, -2356, -2450?\nAnswer: -2582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 33*y**3 - 14*y**2 + 9*y. Let z(c) = 16*c**3 - 8*c**2 + 5*c. Determine -4*h(r) + 7*z(r).\nAnswer: -20*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 6*w + 6. Let o = 15 - 9. What is the least common multiple of 2 and a(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526110251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 9:56 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303.5646827 take away 0.4?\nAnswer: 1303.1646827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 25.11\nAnswer: -0.5022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 491837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011011000100000 + 101?\nAnswer: 111011011000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 7692 - 7692. Suppose -i + 2*i + 1 = -2*m, 2*i + 2 = -3*m. What is u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m**2 + 6*m - 4. Let j(x) = -x + 1. Give -4*j(y) - z(y).\nAnswer: 18*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-4*b**4 + 3*b**4 + 3*b**4) - 58*b**4 - 17*b**4 - 46*b**4.\nAnswer: -117*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 225, 450, 677, 906, 1137, 1370?\n\"Answer: z**2 + 222*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-10)*((m*m*m\/m**(-3\/13)*m)\/m)\/m assuming m is positive.\nAnswer: m**(-101\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 5307 = -33*q. Solve 69 = 6*d + q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4863 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1216.4 and -3218502?\nAnswer: 3219718.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 9*k**2 - 18*k - 4. Let z be j(-6). Let a be -19 - -20 - (z + 0 + 2). List the prime factors of a\/24*4*1*222.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/(2\/12). Let f(s) = -5*s + 7 - u + s + 3*s. Let v be f(2). Solve 3*w - 3 = -2*k, -k + v*w = -5*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 25. Suppose -p*i + 456 = -2*i. Let n = i - 63. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b**2 - 4*b - 94. Let m(v) = -19*v**2 + 9*v + 187. Let l(x) = 7*i(x) + 4*m(x). Differentiate l(p) wrt p.\nAnswer: -12*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107061127 is divided by 35687038?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 2*x - 2. Let a(o) = 15*o**2 - 18*o + 19. Determine 4*a(g) + 36*l(g).\nAnswer: 24*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720\/(-3913)*784\/560?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.521637 milliseconds to nanoseconds.\nAnswer: 5521637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {z: 2, l: 1, q: 2, r: 1, b: 1, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 71?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 15*v**2 + 46*v + 227. Let c be a(-17). Let h(x) = -17*x + 1. Let i be h(-4). Calculate the highest common divisor of i and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27389565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.056 + -24.244. Let y = -22.3 - p. Let o = 9 + -11. What is the closest to -0.1 in o, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216353*v**2 - 4*v + 3416 - 3416.\nAnswer: 216353*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 72*g**2 - 60*g + 60. Let w(b) be the third derivative of b**5\/60 - b**4\/24 + b**3\/6 - 13*b**2 - 1. Determine p(i) - 60*w(i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1233030 (base 7) to base 14\nAnswer: 421c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Product of -147 and 136.3.\nAnswer: -20036.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 5*a - 7230 = -7281, -2*s - a - 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 8, g: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and -137\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 50?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14068.7 - 14069. What is the closest to -2\/3 in -1\/3, n, -8, -16\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13369, -26242, -38991, -51610, -64093, -76434, -88627, -100666?\nAnswer: -112545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 37*y**2 + 36975*y - 25000 = 0.\nAnswer: -1000, 25\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546189518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971982*l - 15 + 8 + 7.\nAnswer: 971982*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/124000 and -43\/504.\nAnswer: 7812000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 22*t - 312 = 0. Let d = t + 64. Let n = -99 + d. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 565*i**3\/6 - i**2 - 1757*i + 2. Let r(a) = 3*a**2. Give u(r(k)).\nAnswer: 1695*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-171)\/(-32)) - (-44 - 25978\/(-589))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1951.9208 - -1951. Let r = d + 0.833. Round r to 3 decimal places.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 8*h + 54. Let w be ((-3)\/4)\/((-3)\/(-12)). Let d(v) = v - 1. Let g(i) = i**3 - 4*i**2 + 8. Let l(r) = w*d(r) - g(r). Give l(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*244\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 20 = -8*g. What is the third derivative of -3*q**4 + q**2 - 6*q**4 + g*q**2 + 0*q**4 wrt q?\nAnswer: -216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - 6*k - k + (-2*k + 0*k + k)*(0 - 2 + 1))*((-4*k + 3*k + 4*k)*(2*k - 2*k**2 - 2*k) + k**3 - 4*k**3 + k**3 + (2*k**2 - 1 + 1)*(-k + k + 2*k)).\nAnswer: 52*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2 - 2)*(-438*l + 20710*l**2 - 20702*l**2 + 164*l).\nAnswer: -8*l**4 + 274*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4299653 is divided by 1724.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (483*p + 513*p**3 - 483*p)*(5*p - 5*p + 2*p**2).\nAnswer: 1026*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/102*(-18000)\/14000.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -109 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -207.\nAnswer: -1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -532*a**4 - 189*a**4 - 216*a**4 + (0*a + a + a)*(-2*a**3 + 2 - 2).\nAnswer: -941*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {h: 5, w: 7, r: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 13425 + 13651 = 0. List the prime factors of c.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1373 + 1372.4. Which is the second biggest value? (a) 0.13 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 490, 983, 1476, 1969?\n\"Answer: 493*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 976*g - 86. What are the prime factors of b(8)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or 5686?\nAnswer: 5686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llqldddhdlhqqdhll. What is prob of picking 2 q and 2 d?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -3. Let i = z + 7. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 285, 1277, 2929, 5241?\n\"Answer: 330*i**2 + 2*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**3 + 9*l**3 + 11*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -21. Let u = v + 2. Let k = -4 + u. What is the greatest common factor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.0987 or -79\/234?\nAnswer: -79\/234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 37*w + 10. Let d = 128 - 151. List the prime factors of b(d).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16579 + 7210. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6, 0.5, 62, -2 in decreasing order.\nAnswer: 62, 0.5, 0.2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75953\/77 - -9281\/7. Is v <= 338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -60. Suppose -4 = -2*w - c*j + 2, -4*j = 0. Find the common denominator of ((-424)\/(-12) - w)\/4 - -4 and 63\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 14*f**2 - 31*f - 8. Give o(13).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -420*t**5 - 516*t**4 - 321*t**3\/5 + 30*t**2 - 9*t\/5 = 0.\nAnswer: -1, -3\/7, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 156307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 37*j**2 + 5*j + 196. Give y(-37).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1, 2\/13, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*u + 136*u = -4. Let b(a) = 4*a**2 - 5*a - 8. Let k(s) = -2*s**2 + 2*s + 4. Calculate u*b(w) + 5*k(w).\nAnswer: -2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/4 (b) 0.5 (c) 5 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.302081 to three dps.\nAnswer: -2.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ululltllltlttlulllll. Give prob of picking 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3342 (base 7) to base 3.\nAnswer: 1122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -3.4.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -652 - -3274\/5. What is the third smallest value in y, 0, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**5\/12 + 2*v**2. Let z(d) = -d + d - d**2. Give g(z(f)).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 80, -3\/5, -1\/2205?\nAnswer: -1\/2205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 29 = -4*a, -170*n - 5*a + 39 = 168*n - 520*n + 183*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(6\/((-108)\/(-42)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27720 - 24581. Calculate the remainder when p is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/56926104 and 79\/54451056.\nAnswer: 1252374288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997262527 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 44157 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 12. Let a be d(11). Let i(b) = 0 + 8 + b - a + 0. Give i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2150 and 40.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/26 and -38\/403?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*a**2 - 13*a**3 - 12*a**3 + 1257*a**2 + 50*a**3 - 16*a**3.\nAnswer: 9*a**3 + 2092*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6066.1 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, 1 t, and 1 j when four letters picked without replacement from {r: 1, j: 1, c: 1, t: 1, y: 1, g: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -10*h**2 + 10*h + 7. Let f(n) = -9*n**2 + 7*n + 2. What is -2*c(u) + 3*f(u)?\nAnswer: -7*u**2 + u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -1055.\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 2.5. Let i = 8 + -15. Let x = t + i. What is the closest to 1 in -1, 4, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*f, -28 + 154 = -5*h - 2*f - 184 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 1752*x + 368016.\nAnswer: -3*(x - 164)*(x + 748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**2 - 3*g + 5. Let t(w) = -5*w**2 - 2*w + 4. Give 2*b(i) - 3*t(i).\nAnswer: 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28910472011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4320 and 1440?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)*l*l*l**(-3\/2)*(l**(-2\/11)\/l*l)**(-43) assuming l is positive.\nAnswer: l**(3155\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**3 - 81216*u**2 - 194844*u - 64944 = 0. Calculate u.\nAnswer: -5412, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 8. Let x(n) be the second derivative of -2*n**3 + n**2\/2 - 3993*n. What is x(v)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - 0.25. Suppose 10*z + 21 = 3*z. Let r be (-4)\/20 - (z - -3). What is the third biggest value in 1\/2, k, -2\/7, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 7, 7.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986262269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7862 divided by -1\nAnswer: -7862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 9:56 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8519.03797 - 8519. Round u to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40.72 + 220.38. What is h rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g + 7*g + 4*g + (0 + 3 - 1)*(0*g - g + 3*g).\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 11:22 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {y: 12, p: 5, q: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (689 + 122 - 9)*(-2 + h**2 + 2)*(-h + 3*h - 4*h)*(-2 + h + 2) to x + q*h + m*h**2 + b*h**4 + f*h**3 and give b.\nAnswer: -1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 13*n - 6. Let x be h(-12). Suppose 18 = 2*r + x. Solve -p - 8 = -5*d, 0 = d + 2*p - 6*p + r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtw when three letters picked without replacement from {o: 1, k: 3, d: 1, p: 2, w: 2, t: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ggkggggkggkkgg.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 479112*b**2 + 5*b - 14. Let k(g) = g. What is k(p(z))?\nAnswer: 479112*z**2 + 5*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 25 = 1. Solve -4*k = -g*c, 0*k + 12 = -3*c - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.061.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 8:25 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, w: 5}. Give prob of picking 3 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -27. What is the biggest value in 1\/4, -4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -17*s**2 - 2*s - 2. Let n(t) = 651*t**2 + 77*t + 77. Let l(d) = 154*c(d) + 4*n(d). Let w(g) = 44*g. Give l(w(v)).\nAnswer: -27104*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n + 11*n + 1596 = 11*n. Solve -4*h = -3*r + n, 155 - 139 = h + 5*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -88*f - 2. Let x(b) = -176*b - 5. Determine -5*g(s) + 2*x(s).\nAnswer: 88*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.365 - 10.573. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -44657?\nAnswer: -44640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + w**2 + 0)*(-6*w + 4*w - 4*w) - 43*w**2 + 23*w**2 - w**3 + 21*w**2 to h + n*w**2 + q*w + b*w**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6097 + 6097.1. Which is the second smallest value? (a) d (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 103 = 695. Suppose -8*t + 106*t - 1536 = -94*t. Calculate the highest common factor of o and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 63 + 47. Let a be (-4)\/(-22) - 84\/c. Suppose 0 = a*g - 5*g + 3. Calculate the greatest common factor of g and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 2*u + 0*u + u in the form k + l*u and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 446327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d. Let a be (-119)\/21 + (-2)\/(-3). Let q = d - a. Let m(g) = g**2 - 6*g + 2. Calculate m(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/60 and -71\/2547?\nAnswer: 50940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104466?\nAnswer: 2, 3, 23, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13)\/t)\/t*t**36*((t*t\/(t\/(t*t**43)))\/t)**(-2\/85) assuming t is positive.\nAnswer: t**(1697\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 2*h - 1. Let i be d(-2). Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:42 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 251, 33, -1, -2 in decreasing order.\nAnswer: 251, 33, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2)*(-1 + 2). Let q = 244 + -241. Let r be (-28)\/(-7)*(-3)\/q. Which is the third smallest value? (a) 5 (b) 0 (c) r (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 5951*j + 216813. Give r(36).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -h. Suppose 0 = -h*w + 2 + 1, 2*p - 4*w - 4 = 0. Suppose -p*o = 2*o - 24. Solve o*s = -16 + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12)**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1158\nAnswer: 5\/1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -1\/3*h**3 + 94*h + 0*h**2 - 177\/4*h**4 + 81. Find the third derivative of s(g) wrt g.\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.786 + -6.186. What is the closest to -0.5 in 0.05, 1.1, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2098481*d**6 - 4*d**3*f**3*m**2 - 3*d**2*f**3 - d**2*m - 2851*d*f**3 - 86*d*f + f**3*m**2 - 3*f**3*m - 2*f wrt d.\nAnswer: -251817720*d**3 - 24*f**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 2. Let v = 10 - 13. Let m be t(v). Let i be -15*(15\/(-9))\/m. Solve -22 = 5*a - 2*x - x, -i*a + x - 24 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1726*a**3 + 3504*a**2 wrt a.\nAnswer: -10356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 - (-16 - (-28 - -44)) - (0 - 10).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20746032 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 6*g**2 + 2*g**2)*(2*g - 2*g - g**2) + 2*g**4 + 3*g**4 - 3*g**4 - 7 + 7*g**4 + 7.\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/1)\/1 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -0.5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = s - 0*s + 33*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133b1 (base 15) to base 9.\nAnswer: 103434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.14 + 1.3. What is g rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 4. Let c be b(14). Suppose -1 = -3*q - c. Sort -2, q, -5 in decreasing order.\nAnswer: -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-65))\/(39 + 105259\/(-2695))\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1 + sqrt(2736)*-2 + sqrt(2736))*2 + (sqrt(2736) + sqrt(2736) + -2*sqrt(2736))*2 + 1*sqrt(2736)*1 + 2))**2.\nAnswer: -384*sqrt(19) + 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Let x(w) = -w**2 - 11*w - 27. Let y be x(-12). Let c be (-34)\/(-10) - y\/65. Solve o - q*o = -c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - 6*h)*(1 - 1 - 2*h) - 3*h**2 - 2*h + 2*h + 2*h**2 - h + h + (2*h - 3*h - 2*h)*(-h + 0 + 0) + 2*h**2 - 2 - 11*h + 2.\nAnswer: 16*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 9 = 0, 0 = 3*t + 468*i - 513*i + 123 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 1076?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6276*f**3 + 6275*f**3 + 0*f**2 - 12553*f**3 + 0*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -18*s**2 - 14*s - 24. Determine d(6).\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1883206 and -0.256224.\nAnswer: -1883206.256224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/((-15)\/40). Let x = a + -2. Solve 2 = -3*j + x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c - 2*c - c. Let p(y) = 3*y. Give m(p(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39 + -266?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmpfpmmmymqqg. Give prob of sequence pqfm.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*t + 31834, -17*t - k - 31786 = -19*t. What are the prime factors of t?\nAnswer: 3, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 times 0.08?\nAnswer: 29.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36773539*u**5 + 32*u**2 + 6753*u - 40 wrt u?\nAnswer: -2206412340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 39. Solve w*n = -2 + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*v + 362*v + 3630 = 0. Is v a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:59 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -7\/6262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + 4*w**3)*(-41*w - 10*w - 2 + 107*w).\nAnswer: 224*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412435349 by 1.\nAnswer: -412435349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-8)*232\/87. Suppose -12 = 4*j, -5*s = -t*s + 5*j - 135. Suppose -3*h + 0*h = -57. What is the remainder when s is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 98*a**6\/15 + 46*a**3 - 217*a. What is the second derivative of d(p) wrt p?\nAnswer: 2352*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -4*d**2 + 0*d**3 + 0 + 0*d**4 + 0*d - 1\/60*d**5. Let q(w) = -15*w - 12*w + 27*w + w**2. Determine f(q(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178305.\nAnswer: 3, 5, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70850033 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z**3 - 3*z**2 + 0 + 1\/30*z**5 + 0*z**4 + 0*z. Let a(i) be the first derivative of -5*i**3\/3 + 2. Determine w(a(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 2*l + 5*l + 18 = 69, -787*l + 785*l = -5*z - 32 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-45)*32\/(-832)*(-80)\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4 = -3*u - 4*x, -17 = -5*u + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -3*h - 21. Let f = h + -45. Sort 3, f, -3, 0 in decreasing order.\nAnswer: 3, 0, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 2*n**2 + n. Let h be r(-1). Suppose 26*g - 22*g - 80 = h. What is the highest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1088 + -1083. What is the fourth biggest value in 3\/2, n, 0.1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -s - 4*p + 20, 3*s - p - 16 = 0. Let h be (s - 640\/92)\/(-3 - 0). Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.0048701 rounded to one decimal place?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -135483 + 2?\nAnswer: -135481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 34*i**2 - 83*i - 28. What is the units digit of s(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6486225*f - 3243146*f - 3243097*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7190328 and 262.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63a4 + -1?\nAnswer: -63a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 25 = 5*y, 5*y = -18*u + 16*u + 25. Suppose -46*j + 48*j - 902 = u. What is the highest common factor of 41 and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -1\/840*u**5 + 1\/84*u**4 - 1\/420*u**6 + 0 - 2*u + 0*u**2 - 5\/6*u**3. Let h(x) be the second derivative of l(x). Factor h(o).\nAnswer: -(2*o - 1)*(3*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 5*d**2\/2 + d - 10. Let b(z) = 6*z + 2. Calculate 3*b(a) - 4*p(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 15, 59 in descending order.\nAnswer: 59, 15, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.2801.\nAnswer: -0.014005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2997327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12372 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 849555 and 18270?\nAnswer: 1699110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259848458 and 37378.\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - h + (-4*h + 3*h - h)*(-3 + 5 - 1) - 1 + 1 - h - h + 0*h + 0*h)*(-29388 - 32063 + 65783).\nAnswer: -21660*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2. Let s(w) be the second derivative of w**7\/360 + 233*w**4\/12 + 233*w - 2. Let k(i) be the third derivative of s(i). Determine c(k(z)).\nAnswer: 196*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 19. Let l be o(-14). Let s be (-3 - 16\/(-6))*-1. Which is the third smallest value? (a) -3 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2\/(-8))\/((-245)\/420).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*12\/(-210)*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 + 42*c**3 - 563663*c**2 + 57292392*c.\nAnswer: -12*c**2 + 252*c - 1127326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -680450566*0.5\nAnswer: -340225283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751925?\nAnswer: 5, 19, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-6))\/((-2)\/3). Suppose -n + 0 - 8 = -4*f, -3*f = 5*n - 6. Suppose 8 = -f*r + u*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19949920 rounded to the nearest ten thousand?\nAnswer: -19950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 2 (c) -2\/5 (d) -935 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**7\/280 + x**5\/40 + x**3\/2 - x. Let q(z) be the second derivative of i(z). Find the second derivative of q(l) wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - -0.1. Let c = -0.8 + d. Let t = 1835\/207 - 79\/9. What is the closest to 1\/2 in c, t, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -8*t - 7. Let s be 2\/(-3) - (-34)\/(-3). Let n = t - s. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/51 - -107\/255. Let z = 16816\/1475 - 1\/1475. Let x = -11 + z. What is the nearest to b in x, -2\/3, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -3\/8, 5, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17932112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -40, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192486 - 1192486 - 3*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3131200807 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -14 + 1 + 36 + -45 + 125.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186133636 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: Factor 3*v**3 - 118548*v**2 + 1422177*v - 1303632.\nAnswer: 3*(v - 39504)*(v - 11)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 41, 3440.\nAnswer: -35, 41, 3440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.09168, 2\/23, 9, 0.4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.905 + -29. Let a = 0.935 - m. Let x = 1 - a. Is 1\/2 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 26 = -2*p + 2*c, -38*c + 16 = -5*p + 81 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -114, -386, -842, -1488, -2330, -3374, -4626?\n\"Answer: -b**3 - 86*b**2 - 7*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 91\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 105630 (base 8) to base 12\nAnswer: 18820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -6. Let t = 10876 - 10875. Which is the closest to t? (a) f (b) 0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 11\/1088520?\nAnswer: 11\/1088520","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31014 (base 5) to base 15\nAnswer: 8de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 7 + 14 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (6 + -2) - (22 + -18)) + -3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 195*u. Let x(c) = 61529*c. What is x(z(s))?\nAnswer: 11998155*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**4 - 5*i - 3. Let z(q) = -2*q**4 - 6*q - 3. Suppose -k + 8 = 3. Let l(d) = k*z(d) - 6*f(d). Find the first derivative of l(b) wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + 67. Let w = -212707178.000047 - -212707083. Let a = w + f. What is a rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7277 is divided by 81?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2187753 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 510\/103247 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 51320, -19 in descending order.\nAnswer: 51320, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 61 = -3*b. Let w = b - -20. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7902, 1.9, 3\/7 in ascending order.\nAnswer: -7902, 3\/7, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 13*t**2 + 12*t. Let d be g(12). Suppose d*o - 2*o = 40. Let x = 31 + o. Solve -4*z + x = -9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206227?\nAnswer: 7, 17, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 8. Let q be t(9). Suppose 0 = -5*f - r + 451, f - 221*r - 66 = -219*r. What is the greatest common factor of f and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*d = -111*d - 62 - 23. Put d, -4, -8, 13 in descending order.\nAnswer: 13, d, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 9, 37858*m + 2*c = 37856*m + 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06730359 + 0.16730381. Let g = 2.1 - 2. Let h = p - g. Round h to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1864*s - 208 = -1760*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-2) + 6\/(-4). Solve 0*l - t*l = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24\/13 (b) 0.5 (c) 1.03 (d) -10.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/66792*33*(-3)\/((-9)\/(-6))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3992\/4 + 2*1. Suppose 8*g = -7*g + 8*g. Suppose g = -2*c + 3780 + p. Round c to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:31 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1d1947 (base 14) to base 10\nAnswer: 1041803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30692333 a multiple of 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + n + 3*n)*(4 - 4 - 3*n) - 2*n + 2*n - 4*n**2 + 17*n - 17*n + 6*n**2 + n**2 - 7*n**2 + 3*n**2)*(4*n**3 - 3*n**3 - 2*n**3).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/16 + 17\/240. Let g(h) be the second derivative of -1\/3*h**3 - 3*h - t*h**5 - 1\/12*h**4 + 0 - 2\/3*h**2. Let g(s) = 0. What is s?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 172 = 5*m, 0 = -5*i + 20*m - 73 + 243. Solve -44 - i = -22*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1891 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646 - 662 = -8*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926914?\nAnswer: 2, 463457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -24879.17?\nAnswer: -24879.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17787 and 2024.\nAnswer: 19811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 65.000062. Round k to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-2\/19)*h))**(1\/11)\/(((h*h\/(((h\/(h\/h**(-1\/5)))\/h)\/h))\/h*h*h)\/h*h*(h*h**(-2)\/h)\/h) assuming h is positive.\nAnswer: h**(-2404\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 42 = 5*g. What is the remainder when 26 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 124 = -181. Let b = -35 - i. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynyhynyynnyycn. Give prob of picking 1 y, 1 h, and 2 n.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 364.6\nAnswer: 145.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*j + 22 + 8 + 88 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 606 + -414. Suppose -280 = -8*w + r. Does 12 divide 1 - 4\/((-4)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12203 divided by 5\nAnswer: 12203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4562266.\nAnswer: 2, 107, 21319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*k + 40, -4*k - 161 = -5*v - 33. Solve 0 = -8*a + 2*a + v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001880552 to seven decimal places.\nAnswer: -0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12321 + 135415?\nAnswer: 152140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/(r**(-3\/8)\/r)*r*r)\/r)\/r)\/((r*r**(-3\/5))\/r*r*r)*((r\/r**(1\/2)*r)\/r*r)**(-34))**4 assuming r is positive.\nAnswer: r**(-1961\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -54, -78, -110, -150?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099662092?\nAnswer: 2, 3041, 90403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(10)\/sqrt(2) - sqrt(5) - sqrt(5)) + -5)**2*2 + 5 + (-1*3*sqrt(50))\/(sqrt(1000)\/sqrt(4)).\nAnswer: 397*sqrt(5)\/5 + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 + -84. Let n = -77 + t. Let h = 174 - n. What are the prime factors of h?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8)**(2\/5)\/(y\/(y\/y**11))**(2\/111) assuming y is positive.\nAnswer: y**(1666\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - -76. Let b be 15\/(-2)*(g\/(-6))\/(-4). Solve b*r + 2 = -13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -64 (c) 1 (d) -2\/595 (e) -2\/11 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from nwrqk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/c*c*c)**(-2\/83))**(-13)*((c*c**1*c)**19)**(-29) assuming c is positive.\nAnswer: c**(-137225\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 2, g: 2, k: 3, u: 3, c: 2}. Give prob of picking 1 k and 1 b.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mcccccm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 + u + 0 + u**2. Let v(n) = 2*n**2 + 5*n. Let m(i) = -v(i) + z(i). Is m(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 2. Let o(a) = -a + 2. Let u be o(2). Let x be y(u). Suppose 2*w = 4*v + 8, 3*v + 3*w - x = 10. Solve 5*t + 0*t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 56*i**2 - 126*i**2 + 1 + 59*i**2 as y*i**2 + f + r*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29, 270, 0.5, -1271, 0.03 in descending order.\nAnswer: 270, 29, 1, 0.5, 0.03, -1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67649\/28 or 2416?\nAnswer: 2416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 753109*a + 29 - 10 - 753121*a + 6825*a**2 wrt a.\nAnswer: 13650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66011 - -461092\/7. Let g = o + 141. Which is the closest to 2? (a) 1\/4 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132004?\nAnswer: 2, 61, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.488411 litres in millilitres?\nAnswer: 7488.411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33017, 33018, 33019, 33020?\n\"Answer: a + 33016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.3 (b) -160\/9 (c) 1.1606 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -257. Let i be (-12)\/10 + t\/75. Which is the nearest to -1? (a) -2\/11 (b) i (c) -1\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t + 87. Give a(6).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-16))\/((-3)\/12). Let k be ((-16)\/(-12))\/(4\/(-6)). Sort 1, k, v in descending order.\nAnswer: 1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3519.3 - -3519.9. Which is the nearest to w? (a) 3 (b) -2 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567386231?\nAnswer: 37, 15334763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (170\/136)\/((-1)\/4). Let d be (-142)\/4*(s + (-3 - -2)). Suppose -2*h + 2*j + 418 = 0, 4*h + d = 5*h + 3*j. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**4\/6 - y**3\/3 - 3*y**2 - 8896*y. Calculate z(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -50*w**3 - 124*w**2 - 739*w - 16. List the prime factors of q(-6).\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**7\/60 + 23*y**6\/180 + y**5\/3 + y**4\/3 + 5*y**3\/3 - 6. Let u(h) be the third derivative of a(h). Find j such that u(j) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2849\/(-154))\/(8\/(-16))*-1?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*g - 955 + 2319 = -1201 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/22))\/b)**43 assuming b is positive.\nAnswer: b**(-43\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:26 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 0.1011.\nAnswer: 0, 0.1011, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + f)*(-3 - 1 + 5) + (30 - 14 - 4*f - 13)*(-3 + 2 + 0).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 5. Let g(d) = 9*d + 11. Suppose 335*x + 533 = 294*x. Give x*t(i) + 6*g(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22 and 14\/(-12) - (33 - 22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18147 and 52.\nAnswer: -943644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - q - 2. Let y be k(2). Let x be (-4)\/(-6) + y\/(-6). Let p be (3*(-5)\/150)\/(-1). Which is the biggest value? (a) x (b) p (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 2*s - 266. Let t = 2099\/9 - s. Which is bigger: t or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1236297 >= -1236297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180882?\nAnswer: 2, 3, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*i - 5315 = 477*i - 283*i + 185 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2045 * -13\nAnswer: -26585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83653415 by -23.\nAnswer: -3637105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50513, -100567, -150615, -200657, -250693, -300723?\n\"Answer: 3*w**2 - 50063*w - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -7*n + 34. Let m = n - 3. What is the highest common divisor of m and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 140 = 5*s, -2*s - 16 = o - 54. Is 6\/o + (-236)\/(-20) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 838*f**2 + 3988*f + 2538. What is w(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 27 = 6*l. Suppose k + l = 1. Which is the fourth biggest value? (a) 0.05 (b) 2\/5 (c) -0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (-2)\/2 + -2. Let x = -12664 - -12684. Solve -y*l + x = 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 167000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14681633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n - 2*n. What is the second derivative of -2*d**2 - 3*d**2 - 3*d + n*d**2 + 0*d**2 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(6 - (-2)\/(-1)). Let b(f) be the third derivative of -2*f**2 - 1\/24*f**4 + p*f**3 + 0*f + 0. Let x(y) = 3*y**2. What is b(x(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-12 - -12) + (-6 - 0 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -2 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-194)\/8*(2 + -7 + (-111690)\/(-22355)) and 11\/20?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10655454 - 1?\nAnswer: 10655453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 22 = -3*m. Let y = -25 - -11. Let h = y + m. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/30*(-3)\/4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 58*u**2\/7 - 110*u\/7 + 54\/7.\nAnswer: -2*(u - 27)*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:58 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 732621251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**5 + 12*r**4 + 14*r**3 - 8*r**2 - 18*r - 10. Let b(x) = -x**5 - x**3 + x + 1. Let l(p) = -6*b(p) - c(p). What is o in l(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + 64. Let f = -8 + 12. Suppose 5*r = 5*v - 145, 2*v - 3*v = -f*r - 14. Calculate the remainder when n is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + -0.3. Let f = -264.7 + 264.7. Which is the nearest to f? (a) h (b) -2\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936, -938, -940, -942, -944, -946?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 + 408673*m**4 + 1313421*m**2?\nAnswer: 60*m**2 + 9808152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 - 2.29. Let d = 0.1 + y. What is the second smallest value in 2, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**14*l*l**9*l*l*l*l assuming l is positive.\nAnswer: l**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*k - 324 + 324 - 57*k as f*k + v and give f.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193\/3 - 64. Let t = 0.4 + 0.1. Let j = -5.01 + 0.01. Which is the nearest to x? (a) j (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.92 - 0.08. Let m = l + 13.3. Let u be (-80)\/(-280) - 16\/154. Which is the closest to -0.1? (a) -1\/4 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x - 36 + 36)*(-3*x**2 - 6*x**2 + 2*x**2) - 30 + 30 - 6*x**3.\nAnswer: 50*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by (152\/(-10))\/(10\/(-25)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8748488 to the nearest integer?\nAnswer: 2958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 16, -4*m + 38 - 2 = 5*s. Suppose 0 = -4*j - 2*f + 128, 91 + 31 = s*j + 5*f. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 7:09 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = -16. Factor -12*y**4 + 23*y**4 + 3*y**2 + 2*y - 12*y**b.\nAnswer: -y*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340747986 divided by -3\nAnswer: 113582662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 852.99 to the nearest 10.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5*t**2 + 6*t - 11. Let a be s(-1). What is the greatest common factor of 128 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135764564 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 6*d**2 + 8*d - 1. Give m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v - 315. What is a(-13)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - 106 - (-2 + 0\/1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4785582868 + -4785221861.7981. Let f = 360991.10190161 - d. Let m = f + 15.1. Round m to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13065 + 13438. Solve 0 = 11*j - 274 + w for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 593 = 81. Calculate the remainder when r is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-9\/2)\/h**(-4\/3)*h**(-2\/13)\/(h*h**(-10\/9)) assuming h is positive.\nAnswer: h**(-751\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*c**3*q**4 + 120*c**3*q + c**2*q**4 + 2*c**2*q wrt q.\nAnswer: -2916*c**3*q**2 + 12*c**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 508335943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6*r - 3. Let f be u(2). Let d = -6.09 - 0.31. Let s = d - -6. Which is the third smallest value? (a) f (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2377\/5 - -476. Let z = -5 + 9. What is the closest to 3 in z, -0.5, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - t**2 - 2*t + 1. Let y = 16 + -11. Suppose -2*u + 5*x + 91 = 0, -x + 192 = 5*u + y. Let o = u + -36. Give z(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0301206 and -0.1.\nAnswer: 0.00301206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -2\/5, 1, -1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1.1474.\nAnswer: 0.5737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779111.1cm to kilometers.\nAnswer: 7.791111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14781, 59114, 133003, 236448?\n\"Answer: 14778*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0655 and 0.052.\nAnswer: -0.003406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 749605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfrjjjprprqprpc. Give prob of sequence qp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, -5 in ascending order.\nAnswer: -5, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/15*(48\/(-40))\/(32\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20356 + 32400*o**2 + 20356 - 32396*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - -3) - (2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58617027 a multiple of 2359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 5*a - u, -5*a + 4*u = -261 + 16. Let k be (-1)\/4 - (-533)\/4. Find the common denominator of a and 4\/10 - k\/45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/7, 0.4, 1\/4 in descending order.\nAnswer: 0.4, 1\/4, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(931)*2 + 0 + sqrt(931))**2 + -5*(-2 + (sqrt(931)*-2)**2 - sqrt(931)).\nAnswer: -10229 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x + 3*x + 3*x - x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, h: 2, k: 1}. Give prob of sequence hh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/((-4896)\/108)*(-2)\/(-116)*(-32)\/(-12).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*(7 + -13))\/(-2) + 9)*(-6)\/(-81)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -7*f**4\/24 + 3*f**3\/2 - 158*f**2. Suppose 4*t - 14 = -50. Does 18 divide d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, -383\/3, -923?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -519*p + 118 wrt p.\nAnswer: -519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**6\/15 + i**4\/6 - 189*i**2\/2 - 25*i + 2. Differentiate m(u) with respect to u.\nAnswer: 8*u**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - i - 0*i - 94, 2*j = -i + 56. Calculate the remainder when 448 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -40.8. Which is smaller: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:18 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000801 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208548 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {g: 1, i: 3, t: 2, f: 1, d: 3, m: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2912 - 3?\nAnswer: 290b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 2 - 5*k + 2*k + 2*k**4 - 6*k**3 + 3*k as i*k**2 + j + q*k + t*k**4 + z*k**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*z - 393, -c + 0 + 7 = 0. What is the greatest common divisor of 575 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 3:23 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31412 + -11?\nAnswer: -31423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o + 832. Suppose 5*g - o = 12. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -4, 39.\nAnswer: -4, -3, 2, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -30*w + 47. Let o(p) = 87*p - 236 + 5*p + 57*p. Let d(n) = -11*a(n) - 2*o(n). Differentiate d(m) with respect to m.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Suppose -3 = 2*f - i. Let a be -3*(1 - 6\/8). Is a < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, 0.3, 4\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from lkl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/11)*g))\/g*g)\/g*(g*g\/(g\/((((g*g\/(g*g\/(g*g\/g**17)*g*g))\/g*g)\/g)\/g*g))*g*g)\/g*g*(g\/g**(-7))**(-38) assuming g is positive.\nAnswer: g**(-3522\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/21 and (-7648)\/(-5040) + (-2)\/10.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) 909 (c) 2\/5 (d) -11\/3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*n - 205*n - 235*n + 108607 = 741*n for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 19 = -6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*m. Let l be 3*((-2)\/3)\/m. What is the units digit of 4*l\/(-2)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1157, -2308, -3461, -4622, -5797?\n\"Answer: -d**3 + 5*d**2 - 1159*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 41*y**2 + 39*y + 125. Calculate the remainder when a(40) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z. Let y(c) = 4*c + 11 - 6 - 5. Calculate y(v(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 0, 16, 50, 108, 196, 320?\n\"Answer: p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/387126 and 40\/279.\nAnswer: 12000906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8 - 19 + 8 + 16*u**2 - 15*u**2 - 5*u + 17*u. Suppose 0 = -f + 6 - 17. Give p(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(0 + sqrt(847))**2 + sqrt(847)) + -2 + (sqrt(448) + 1*sqrt(448))**2 + 2.\nAnswer: -19383 - 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-3)\/(-18) - (-6)\/(-36)). Solve x = -9*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from pzpipziiizzzizzpz.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101438153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 12:02 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 636131 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 29. Calculate the greatest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:14 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 735 and 575155?\nAnswer: 12078255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10) - (-4*sqrt(1440) - sqrt(1440))) + 5 + sqrt(612) + (sqrt(612) + sqrt(612)*-1 - sqrt(612))**2)*6 + -4.\nAnswer: 2202*sqrt(17)\/61 + 3698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*w - 2531 - 629. Calculate the greatest common factor of w and 1180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3221990 and 9145.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 11}. What is prob of sequence co?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q - 4927 + 1687 = 140*q for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -9*q**2\/2 - 4*q + 3. Is 15 a factor of r(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10942400 and 15632000?\nAnswer: 109424000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - sqrt(209)*2)*-6 + sqrt(209) + -1*-1*sqrt(209))\/(sqrt(66)\/(2*sqrt(6)*6)))**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -33. Let l be 6\/5*r\/9. Differentiate -l*q**4 + 2*q**4 + 0*q**4 - 1 with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 3*r**2 + 10*r**2 - 1835*r**3 - 33*r**3.\nAnswer: -1868*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1629014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c - 29 = 0. Let w = 3 - 0. Suppose -c = w*d - 140. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1828*p**2 - 12*p. Let w(l) = -2*l. Calculate w(j(i)).\nAnswer: 3656*i**2 + 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147108 + 1176873\/8. Determine t so that 69\/8*t + 9\/4 + 6*t**2 + g*t**3 = 0.\nAnswer: -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = -d, -d - 8*l + 2 = -9*l. Let b(g) = 20707 + 4*g**d - 20707. Let o(n) = 36*n**2. Give b(o(s)).\nAnswer: 5184*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30163793 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1339*h + 705*h + 636*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 197708.7 years in centuries?\nAnswer: 1977.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40536.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/3 - 4*h**3\/3 + 16*h**2 - 522*h. Factor j(y).\nAnswer: -4*(y - 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Let t(b) = -b**3 + 4*b**2 - b - 4. Let z be t(v). Solve 3*n**2 + z*n**2 + n - 6*n**2 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79, 49, -29, -179, -425, -791?\n\"Answer: -4*c**3 - 2*c + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12950733 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26844 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let g be 2\/(-8) + u\/8. Suppose -2*v - p + 4 = 0, 5*v - p - 10 + 0 = g. Solve -l + 5*l = 5*y - 24, v*y + l - 7 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1487 - 1482. Solve 0 = -f*q - 4*t - 20 + 8, 6 = q + 5*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -23\/120*o**6 - 41\/6*o**3 - 43*o**2 + 0*o + 0 + 0*o**4 + 0*o**5. Differentiate j(r) with respect to r.\nAnswer: -69*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-168)\/(-27) + 6\/(-27). Calculate the remainder when g\/(-4)*1496\/(-51) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279160, -558329, -837498, -1116667?\nAnswer: -1395836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51612, 51613, 51614, 51615, 51616, 51617?\nAnswer: 51618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 18 - 2 + 3957*w - 1)*(6*w**2 - 3*w**2 + 2*w**2).\nAnswer: 19785*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12553 - 19891. Let r be (-12 + w)\/((-6)\/40). What is r rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 16*u = -7*u - 7*u, -4*d - 5*u + 88 = 20 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108734*l**4 + 9351*l**2 wrt l.\nAnswer: -2609616*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in -5\/3, -22, -211?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 + 3*p**2 + 2*p + 1. Let z = -4 + 11. Suppose 5*k = -5*n - 5, 5*k = 5*n - 8 - z. Give m(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2015986 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*n**4 + 998846*n**3 - 10845534939*n**2 + 22629983416*n - 1885817476 = 0. Calculate n.\nAnswer: 2\/23, 2, 21713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + m + 0 + (789 - 391 - 794)*(4*m - 3*m + 0*m) - 3 + 3 + 5*m.\nAnswer: -390*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1484, 0, 2.\nAnswer: -1484, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-10) + (-102)\/(-84)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkmkmkmkkmkkmjiklkm. What is prob of picking 4 m?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5367*l - 2684*l + 3386 - 2684*l to the form z*l + v and give v.\nAnswer: 3386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/14 + (-3)\/7. Suppose -4*p + 16 = 0, 3*p = j*w + 2 - 5. Suppose 4*z = -16, 5 + 4 = 5*b + 4*z. Solve n - b = 2*k, 4 = -4*k + w*k + n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**26*y*y**(-16)*y)\/(((y*y**(3\/47))\/y)\/(y\/y**39)))**(-13) assuming y is positive.\nAnswer: y**(15925\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1100000000111?\nAnswer: -1100000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -a + 7, 6*a - 42 = -t - 0*t. Sort a, -7, -5, 3, -1 in decreasing order.\nAnswer: a, 3, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, s: 1, w: 2, h: 6, q: 2, m: 6}. What is prob of picking 1 q and 2 g?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 24 - (-110 + 97)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iddd when four letters picked without replacement from ididiiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 113012330?\nAnswer: -113013101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 38. Determine c(16).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + 4. Let o = 3 + l. Suppose 3*p - 39 = -2*w, -5*w = -w + o*p - 81. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/9))**(13\/5)\/(w**(-1\/3)*w)**(15\/2) assuming w is positive.\nAnswer: w**(-17\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11296*-2.\nAnswer: -0.22592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5))**15*d**(-22)\/(d*d**6*d))**(-44) assuming d is positive.\nAnswer: d**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14111 (base 6) to base 15\nAnswer: -9bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 plus -0.208?\nAnswer: -26.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 6*g + 18. Let m be f(7). Put m, 4, 13, -5 in descending order.\nAnswer: 13, m, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.3. Let g be (-1)\/(-3) - 21\/(-45). Let m be (-3)\/2*((-56)\/(-21) + -2). What is the second biggest value in m, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 49*x + 9 = 0. Suppose -3*z + 45 = 3*j, 4*j - 39 = -z + 21. What is the units digit of x - (-240)\/(j\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 22137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/55 and -6\/695?\nAnswer: 7645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 27 = 5*u + 2*m, -6 = 3*u - 5*m. Solve -u*r + r + 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-18 - -3 - (-61 - (17 + -8)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259471817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = -11 + 45. Let y = -213 + 219. Suppose -2*k - 5 = -5*b, -4*k + 2*b = -5*k + 11. Solve v = g*s - y, -3*v - k*s = -v - 33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - (-8 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17800\/90 - 2\/(-9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -8\/21 (b) -0.06 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1839545*z**2 + 136*z + 289903994 wrt z?\nAnswer: -3679090*z + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/9 + 2)*10231\/(-26). Let y = a + -262. Let w(x) = -x**2 - 7*x - 6. Let s be w(-6). Is y != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 - (-36)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 821500423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**2 + 167*w**2 - 15*w**2.\nAnswer: 115*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6063 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/715 in 5, 3, -0.079, -0.4, -15?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:34 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + 2*x - 7. Let f(s) be the second derivative of -3\/2*s**2 + 1\/6*s**3 + 0 + 1\/3*s**4 + 16*s. What is 2*c(g) - 5*f(g)?\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0. Let z = -0.14 + 1.14. Sort b, z, -1\/3 in ascending order.\nAnswer: -1\/3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 6. Let j be u(6). Suppose j = -2*q + q + w, -5*w + 18 = 4*q. Suppose -5*x - p - 2*p = -5, -q*x - 12 = 4*p. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-1\/4)\/v)\/v)*v)**(-35)*(v*v**(-3\/5))\/v**(1\/3)*v**(-1\/4)\/((v*v**0\/v)\/v*v*v)*v**(-1\/2)*v\/(v\/(v*(v**2\/v*v)\/v*v)) assuming v is positive.\nAnswer: v**(-4423\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 11 - (-10)\/(2 + 5 + -6). Which is the biggest value? (a) -1 (b) l (c) 18 (d) 1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 11. Let u(r) be the third derivative of -r**4\/12 + r**3 - 4*r**2. Give -4*t(j) + 7*u(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500\/7 greater than 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293617413?\nAnswer: 11, 19, 29, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let d(k) = -12*k - 20. Let q(a) = a + 2. Let z be q(3). Let m(t) = z*x(t) - d(t). Find the first derivative of m(f) wrt f.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -33 + 3*j**3 - 5*j**3 + 50 - 21*j - 21 + j**3 + 13*j**2. Calculate w(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*z + 272*z - 1 - 3*z**4 + 2 + 2*z**4 in the form w*z**4 + r*z**2 + n + o*z + i*z**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 601174291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - (-16)\/7. Suppose -5*s - 9 = -14. What is the derivative of -c**h - c**2 + s + 0 wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.522909 nanograms to grams.\nAnswer: 0.000000006522909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 283. Let b = 98.6 + y. Let h be (-4)\/3*(-3)\/(-1). What is the closest to 1 in 3, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850446.\nAnswer: 2, 13, 71171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (69*4)\/(-4). Let o = -12 - r. What is the units digit of 5 + -3 + o + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14449 - 14006. What is the remainder when f is divided by 255?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.057239 centimeters to nanometers.\nAnswer: 40572390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7437502*x + 6677419?\nAnswer: -7437502","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 2031221 (base 4) in base 15?\nAnswer: 2a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2 - 6. Let w(i) = -64724 + 64724 + 2*i. Determine w(d(v)).\nAnswer: 18*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9165225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, 11, 4, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*j - 22, -2*j = -4*n - 62 + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 169*u**3 + u**2 - 4*u + 2. List the prime factors of n(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1591248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/((-60)\/(-5)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 17. Let d be j(-5). Let n be d\/(1\/4*4). Let m be (-48)\/(-56)*n\/(-9). What is the highest common factor of 36 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d. Let u(n) be the third derivative of 0 + 0*n**3 + 0*n + 17*n**2 - 37\/24*n**4. Determine a(u(t)).\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + y - 0*y - 5, 1 = -4*t - 3*y. Let m(g) = g. Let f(u) = -u + 2. Let b(i) = f(i) + 6*m(i). What are the prime factors of b(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 3*p**2\/2 - 2*p - 1755. Let d = 18 + -13. Let y = 3 - d. Give s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12547 is divided by 127.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12265, -11283, -10301?\nAnswer: -9319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 9*u**2 - 8*u - 17. Let c be w(10). Solve -2*o + o - c = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12553666.25 rounded to the nearest one hundred?\nAnswer: -12553700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 + -278. Which is the closest to 1\/4? (a) x (b) 1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3062.54 * 0.2.\nAnswer: 612.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.09, -2, -468, 2\/7, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -0.948\nAnswer: -0.1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h - 1. Let x(l) = 4*l**2 - 7*l + 7. Let a(o) = o**3 + 5*o**2 + 4*o + 2. Let w be a(-4). Give w*x(n) + 14*z(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:11 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3\/2*c**3 + 5\/6*c**4 - 5 - 1\/2*c**2 + 7*c. Find k, given that d(k) = 0.\nAnswer: -1, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - ((3 - 2) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 7*d + 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((-1*sqrt(85) - sqrt(85))*3 - sqrt(85)))\/(sqrt(405) + sqrt(405)*2*4 + sqrt(405)))**2.\nAnswer: 833\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 3)*(2*a**3 + 14 - 14) - 7*a**3 + 11*a**3 - 3*a**3 + (-3*a + 2*a**2 + 3*a)*(2*a - 3 + 3) to the form p*a**2 + b + m*a**3 + v*a and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 118736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*x - 33*x + 15*x**2 + 78*x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34 + 50 + 5*s**4 - 15*s**2 + 172*s - 104 + 10*s**3 - 396*s + 184*s.\nAnswer: 5*(s - 2)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**2*u**2 + d**2*u - 675973*d**2 - 228*d*u**2 + 5*u with respect to u.\nAnswer: 8*d**2*u + d**2 - 456*d*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 188700.521.\nAnswer: -188696.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56549, -114310, -172071?\n\"Answer: -57761*x + 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 2\/15 (c) -27740 (d) 5 (e) 3 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 4*d. Let q be 2\/d*6\/8. Which is the third biggest value? (a) 1\/6 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/7735 and -37\/275?\nAnswer: 425425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*c = 182, -2*r + 101 = -r - 5*c. Suppose 5*n - 4*t = -1, 0 = -4*n + 5*t - 2*t. Calculate the remainder when (r\/1)\/n + 2 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 7) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 1784\/9 (c) -0.3 (d) 5 (e) 3 (f) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68573\/19 + (-304)\/2888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -531221*y**5 + 2*y**2 - 345237*y?\nAnswer: -31873260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j + 3*s + 30, -j = -2*s - 12. Suppose 3*c + c = j. Let m = c + 0. Solve -a + 3 = -m*a - 2*f, 4*a + f - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11285.3 + -5318.5. Round l to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5812 and 7208?\nAnswer: 10473224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10836 is divided by 363?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -585 and -1.3?\nAnswer: 583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 a factor of 109013677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1980+-0.17\nAnswer: -1980.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) 80 (c) 1\/19 (d) -6.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*q**6*r**2 - 3*q**3*r - 10*q**2*r - 66*r**2 wrt q.\nAnswer: -13440*q**3*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*16*13\/(-4992)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1)*(-1 - 0). Find the common denominator of b + 4\/(12\/31) and 4\/(-14) + 790\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.573 + -0.127. Let r = -90.7 - h. Let z = r + 81.0027. What is z rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 2. Let q be t(-8). Suppose -3*c - c - 25 = -3*u, -11 = -u + 2*c. Solve 3 = u*v - q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 594.5 - 758. Let b = j - -391. Let r = -179 + b. What is r rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 532 - 1162. Let t = l + 885. What are the prime factors of t?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n**3 - 132*n**2 - 62*n + 731. Calculate z(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -22. Suppose -i - 1 = -z. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o + 0*o)*(-33 - 13 + 19) + (0 - 1 + 2)*(-1 + 1 + o).\nAnswer: -80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 592 - 589. Solve -y*f - 9 = -x + 1, -4*f = x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 4, a: 4, w: 2}. Give prob of picking 2 a and 2 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9 + (-29)\/(-15) + -2. Let z be (-1)\/(-6) - (-159)\/18. Sort z, 4, d in ascending order.\nAnswer: d, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(1 - (-40)\/(-25))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q**3 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o - 13*o - 12*o)*(-1 + o + o + 0*o) to q*o**2 + d + a*o and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8999.49l to millilitres.\nAnswer: 8999490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((336\/(-476))\/(51\/(-34)))\/6?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 0, b + 3*p - p = 2. Suppose 4*d = -b*v + 18, -3*v - 2*d + 10 = -v. Is -1\/16 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 112*o**2 - 13436*o + 13320.\nAnswer: 4*(o - 45)*(o - 1)*(o + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 3*i - 3*i = 0. Calculate the lowest common multiple of 30 and (18\/7 - i)*21 + -3.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 660 + 1615468790\nAnswer: 1615469450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {d: 2, x: 2, k: 8, s: 4, j: 3}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3398098 and 15?\nAnswer: 50971470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-170)\/51)\/(8\/2).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**3*x**3 - 8*s**3*x**2 - 3*s**3*x + 35*s**3 + 184512*s**2*x**3 - 2*s*x**3 wrt s?\nAnswer: 48*x**3 - 48*x**2 - 18*x + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-20)\/8)*-6. Suppose -26 - 28 = -f - s*d, -15 = -5*d. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - 23*g**2 + g + 12. Let i(a) = 5*a**3 - 26*a**2 + a + 13. Let t(v) = -6*d(v) + 5*i(v). Calculate t(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14355?\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -6\/119?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 2*h - 1, 2*h - 4 = 2*o. Suppose -r - 16 = -4*s, -2*r - 12 = -5*s + h*s. Solve r = -5*n - 4 - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9212141.7 rounded to the nearest 10000?\nAnswer: 9210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2014 and 809628?\nAnswer: 809628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:12 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7409 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/6)\/4 - 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 46*r + 325. Let z(y) = 114*y + 650. Calculate -5*t(g) + 2*z(g).\nAnswer: -2*g - 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 6:35 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6*(-90)\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 133 and 4.057.\nAnswer: 539.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 383 - 146. What are the prime factors of a?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3 - 1) + 6)\/(1\/16). Suppose -2 = -2*n - j + 12, 5*n - o = -j. Solve -n = r - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2cbe2 + 13?\nAnswer: -2cbce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(324)*-4)\/sqrt(3) - -1*((sqrt(3)*-1 - sqrt(3)) + 2 + -1)**2.\nAnswer: -148*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17688, 32540, 47402, 62280, 77180, 92108?\nAnswer: 107070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5432 to two decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1005603 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(0 + sqrt(325)*-4 + 5*sqrt(325)*2))**2.\nAnswer: -120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n - 7*n - 14*n + (-1 + 3 + 0)*(-5*n - 7*n + 27*n) to h*n + j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w + 3*p, 0*w = 4*w - 5*p - 6. Calculate the common denominator of -115\/54 and w - -1 - 441\/154.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158 - 26. Suppose 13*s - 17*s + d = 0. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527 divided by 16412.\nAnswer: -527\/16412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - (5\/(-5) + 0)) + 19. Let o be (-285)\/(-105) + ((-24)\/n - -2). Solve 0 = -0*j - o*j - 3*p, -2*p = -3*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t - 3. List the prime factors of c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110\/175 + 256\/448\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(-341))\/(5\/(-2))*100\/120?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*g - 2*m + 9, 4*m - 28 = -4*g. Let k = g - 6. Suppose k*h = 4*h - 16. Calculate the highest common factor of h and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 6) to base 13\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 657, 1316, 1977, 2640, 3305, 3972?\n\"Answer: i**2 + 656*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v - 1. Let x be h(-2). Let r be (-12)\/5 - (-1 - x). Let a = -12.9 + 12.6. What is the smallest value in a, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29160 divided by 729\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 1. Let b be c(-1). Let o(x) = 5*x**3 + 3*x**2 + 3*x - 2. Let f(d) = 3*d**2 + 0*d + 1 - 5*d**2 - 4*d**3 - 2*d. Calculate b*o(r) + 3*f(r).\nAnswer: -2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v**4\/11 + 1030*v**3\/11 - 42930*v**2\/11 + 281900*v\/11 - 67808\/11 = 0 for v.\nAnswer: -163, 1\/4, 8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132)*2 + sqrt(132) + sqrt(132)) - (sqrt(132) - 4*2*sqrt(132)))\/(2*1*(sqrt(192)*2 + sqrt(192))).\nAnswer: -17*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135566*z + 135663*z - 271229*z + 6*z**2 - 2*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {l: 6, z: 1, t: 10}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*j = -170*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o. Let l(x) be the third derivative of -3*x**5\/20 - 2*x**2. Give l(w(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + sqrt(168)*1)*3)\/(2*sqrt(6)*4) + (5*2*sqrt(252))\/((-2*sqrt(27))\/sqrt(3)).\nAnswer: -17*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/10 + 3\/(-15). Let g(p) = -2*p + 2. Let f be g(t). Sort 3, -5, f.\nAnswer: f, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2657\/36 in 9, -5, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351\/196 - -100\/49. Factor -q*t**2 + 0 + 1\/4*t**3 - 1\/2*t.\nAnswer: t*(t - 2)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obo. What is prob of sequence boo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5890660 and -0.2.\nAnswer: 1178132","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Round 2225.929 to the nearest 10.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-1321)\/(-8) - 14\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3314307 or 3314308?\nAnswer: 3314308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750244732 to the nearest integer?\nAnswer: 27391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 137, 141, 145?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.164 - -0.464. Sort n, 3, 0.262, -5, 0.\nAnswer: -5, 0, 0.262, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2709546, 5419070, 8128566, 10838028, 13547450?\n\"Answer: -y**3 - 8*y**2 + 2709555*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**3 + 20*d**2 - 1357*d wrt d?\nAnswer: -36*d + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 - 0.05. Let k be 0 - (1 + 333)\/2. Let b = k - -1501\/9. Put 1\/7, b, r in descending order.\nAnswer: 1\/7, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22)*(-77)\/(-42)*(-27)\/9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y + 4. Let l(a) be the third derivative of a**4\/8 - a**3\/6 + a**2. Suppose -2*k - k = 66. Let j = k - -31. Calculate j*l(b) + 2*z(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*x + 176*x + 3*x**2 + 88*x - x**2 - 449*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-3)\/(15\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 53 = 2*g - 2*a, -4*g = a - 32. Let k be (6\/(-8))\/(g\/(-48)). Solve -6*j**3 + 3*j**3 + 3*j + 3*j**k - 2*j**2 - j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69436.7074277708 - -0.0996722292. Let a = n + -69459.80710072. Let g = a + 23. Round g to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from itiqqieiptit.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 385029 and 20149851?\nAnswer: 60449553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(-2*s**2 + 4*s**2 - s**2) + 2*s**2 - 3*s**2 + 7*s**2)*(2 - s - 2).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 62. Solve -3*p = -y*u + 19, 0 = -2*u - u + 3*p + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07300419 to three dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 297907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 120 = 3*t + 8*u + 16, 72 = -4*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678370 to the power of 1\/2, to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 6053684*c**2 - 2290058665920*c - 290935098634608.\nAnswer: -4*(c - 756774)**2*(c + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjpjphj. What is prob of picking 2 j and 1 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 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: Calculate -2925 divided by -975.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 8. Let o(q) be the second derivative of -q**3\/2 - 5*q**2\/2 - 2*q. Let r(i) = 5*h(i) + 8*o(i). Let k(u) = 8*u**2. Calculate r(k(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4 + (-1 - -8)\/14. Suppose 0 + 6 = -2*r, -5*y - p*r = -39. What is the remainder when 88 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2306*f**2 - 1742*f**2 - 567*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87.354*1.\nAnswer: 87.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.19864 litres to millilitres.\nAnswer: 60198.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.217 take away 5979?\nAnswer: -6133.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + b - 2176*b**2 + 2182*b**2 - 3*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*u = 786*u + 10. Let o(p) = 5 - 4 - 2*p**u - 2 + 1. Let j(z) = 7*z + 49. Let d(w) = 1. Let r(m) = -294*d(m) + 6*j(m). What is r(o(a))?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**2\/7 + 100*l - 5976\/7 = 0.\nAnswer: 9, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6393773, -6393772, -6393771, -6393770?\n\"Answer: i - 6393774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447012?\nAnswer: 2, 611753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-99)\/(-44)*(-480)\/360.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/4380 and -23\/17680.\nAnswer: 3871920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -152, -220, -284, -344, -400?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, -3, -2, -714, 0.5 in increasing order.\nAnswer: -714, -3, -2.6, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-8)*2)\/(-1). Suppose 0 = -o*y + 24 + 66. Suppose 3*a - y = 21. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355 + 13?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-45) - 1938\/(-190).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2571.69*-0.06.\nAnswer: 154.3014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63452517 less than 63452520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66539 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 4*j + 6. Let n(t) = -2*t**2 + 6*t + 8. Let c(o) = 2*n(o) - 3*r(o). Calculate c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-14))\/((-6)\/(-84)*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 661321765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sosooooooo. What is prob of picking 1 s and 2 o?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - 18*y**4 + 10*y**4 + 6*y**4 + 1 in the form c*y + j*y**2 + z + x*y**3 + l*y**4 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 16. What is the remainder when (-2)\/(-3) + (-8)\/(-6) is divided by (-5)\/(-10)*1*b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q - 3. Let u(m) be the second derivative of -m**3\/2 + 3*m**2\/2 - 2*m. What are the prime factors of u(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 877664?\nAnswer: -3\/877664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 69*d + 454. Suppose -41 = 5*v + 2*q, 473*v + 2*q + 34 = 469*v. Give r(v).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azkrbib. Give prob of sequence rab.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 35*m**3 + 1565*m**2 + 1090*m - 440 = 0.\nAnswer: -44, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 6. Let j(i) = -9*i**3 + i**2 + 2*i + 1. Let k be j(-1). Let p be o(k). Let w be p\/24 - 1\/(-4). What is the nearest to 1 in 4, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.317 - 0.257. Let x = m + -0.06. Which is the closest to 1\/2? (a) x (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/457 - 454\/1371. Which is the nearest to s? (a) -2\/101 (b) 0.4 (c) -2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35)\/(((-32)\/(-248))\/(-4)).\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 21 + 24 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 11273295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (58 + 16)*(-6)\/(-4). Suppose w = 20*l - 89. Let n(c) = c + 5. Calculate the remainder when l is divided by n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -79*c + 6196. Let p be i(78). Solve -p*w = 10*w + 220 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, 1 v, and 1 u when four letters picked without replacement from uddukdadllavlddll.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295 - -298. Suppose r - 3*j - 5 = 0, 48*r - 46*r - 3*j = 1. Which is the third smallest value? (a) -2\/9 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1)**2 + 3 - (2*sqrt(147) + 0)) + ((-2*sqrt(147) + -3)*4)**2.\nAnswer: 1344*sqrt(3) + 9703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.094 + 2.7. Let b = -0.394000924 - r. What is b rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.77511 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494412 (base 11) to base 7.\nAnswer: 6434166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m*m**(-2\/5))\/(m\/(m*m**(-1\/4)*m*m))**18*(((m\/((m*m*m*m*m*m\/m**(-3\/2))\/m))\/m)\/m*m**1\/m)\/(m\/((m*m**(-3\/8))\/m)*m**(-4)\/m*m) assuming m is positive.\nAnswer: m**(1049\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:15 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 5 - 11*p + 3*p**2 + 11*p. Let u(j) = j**2. Give i(u(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 268 + 124 = -16*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -21. Suppose -u*y - 566975 = q + 3*y, -5*q = -4*y + 2835020. What is q rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111101010 (base 2) in base 8?\nAnswer: -15752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -277. Is 43 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in -2\/7, -2, 1\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 5*y**2 + 2*y + 3. Let n be 62 - (4 + (-10 - 2)). Let g(a) = -a**3 - 6*a**2 - 4*a - 3. Let s be g(-7). Let f = n - s. Determine l(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/((-121)\/(-60) + -2). Put -4\/3, b, 3, 5 in decreasing order.\nAnswer: b, 5, 3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**4 + 1112*n**3 - 139478*n**2\/3 + 181544*n\/3 - 20008 = 0.\nAnswer: 2\/3, 61, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v - 9*v + 1 - v**2 + 1 + 2*v**2 as r*v + t*v**2 + p and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -106, -29, 62, 155?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086318116 to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54962426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -29*k - 681. Determine q(-21).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -379, -568, -757?\n\"Answer: -189*z - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -42*u + 27 - 52 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 215\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -27*u + 81. Calculate q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 0 - 1876\/42. Let r = b + 46. What is the third smallest value in -1, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 139*o - 11433. Give n(-58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -481794 (b) -0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 + 9 = 5*m, 2 = -m + 5*n. Put m, 5, 4 in descending order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 17 = 5*f - 6*f, -f + 2*o + 12 = 0. Let m be (42\/8)\/(165\/88). What is d in 4\/5 + m*d**f - 18\/5*d = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 6*l + 1. Let n be j(6). Let h be n + -1 + 4 + -7. Let m be (-22)\/(2 + -1 + h). Solve -2*r = v + m, -r - 18 = 5*v - 2*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -5*p**6\/3 - 685*p**5 - 72670*p**4 + 443755*p**3\/3 - 860*p**2 - 147920*p + 77. What is a in v(a) = 0?\nAnswer: -172, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 9*x - 3. Let o be l(8). Let h be 2 - (3\/(-1) + o). Factor 0 + 1\/3*j + h*j**4 + 1\/3*j**5 - 2\/3*j**3 + 0*j**2.\nAnswer: j*(j - 1)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/4 - (-4 - 0). What is the second derivative of -5*o**l + 101*o**3 - 101*o**3 - 5*o wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23724 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 297*z**2 - 4*z - 8. Let f be -2 + 0\/(8\/4). Let k be a(f). List the prime factors of 4\/(-20) + (k\/(-5))\/(-3).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38907 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + (-2*sqrt(114) - sqrt(114)))\/sqrt(6)*1)**2 - ((sqrt(209) - 1*sqrt(209)*-2) + sqrt(209) + sqrt(209))\/sqrt(11))*2.\nAnswer: -10*sqrt(19) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4257 divide 151664139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*g = -5, -2*c - 7*g - 178 = -180 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282923 is divided by 349?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b + 5*b + 8*b + 12*b**2 + 10*b + 5*b + 3*b.\nAnswer: 12*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (17 - -11) - -10) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/11, 259.2, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6799831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 - 135 + 297)*((-r + 3*r - 3*r)*(0*r**2 + 4*r**2 + 3*r**2) + 2*r**3 + 3*r**3 - 6*r**3 + r**3 - 3*r + 3*r).\nAnswer: -385*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 less than -24?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -90*d + 17*d**2 - 87*d + 177*d. Let q(x) = -5*x**2. Give q(z(v)).\nAnswer: -1445*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(-6\/7)\/((n**3*n)\/(n\/(n*(n*n*n**(-3)*n*n)\/n*n))))\/((n**(-1\/3)\/n)**9\/(n**(-1\/2))**(2\/69)) assuming n is positive.\nAnswer: n**(6541\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 4. Let k be w(5). Let q = -8 - -4. Put k, q, -1 in increasing order.\nAnswer: q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - -3.8. Let w = -1 + 1.5. Let g = 0 - 4. Put g, w, n in decreasing order.\nAnswer: n, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -346*h**3 - 2*h**2 - 2*h + 3. Let l be c(2). Let j = l - -5577. Round j to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -36. Let d = -33707 - -33755. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689317?\nAnswer: 7, 373, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8*n - 6*n - 10 = 0, -15 = 5*n. Let k = y + 631. What are the prime factors of k?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -140.84, -4, -5, 2\/31?\nAnswer: -140.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 13*p**5\/60 + 564*p**2. Let u(z) = 17*z**2. Calculate m(u(g)).\nAnswer: 3757*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 8, 4\/9, 97, 1.2 in ascending order.\nAnswer: -0.4, 0, 4\/9, 1.2, 8, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 73*a**2 - 212*a - 146. What is q(-70)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d + 12820. Let z(v) = v. What is z(b(p))?\nAnswer: -5*p + 12820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -2691?\nAnswer: -2690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i + 6. Let u(k) = 7*k**2 - k. Let v be u(1). Let s(f) = -f**2 - f + 1. What is v*s(q) - t(q)?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-30))\/((-819)\/(-140) + -6). What is the nearest to 3\/4 in h, 0.05, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) + 2128\/190. Let t be ((-7)\/((-7)\/10))\/1. Suppose 0 = -d + c - t. Solve -6 = s - d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 432645.1?\nAnswer: 432645.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i = 4 - 47 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m**2 + 3*m. Calculate a(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 3*n - n)*(-4 + 9 - 3) - 4*n + 3*n + 2*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1661 + -9?\nAnswer: -166a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242 - -108. Let x = m - -144. Solve -4*a + 5*r = x, -3*r + 10 - 4 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -42359570?\nAnswer: -1\/8471914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/120 + u**5\/12 - u**4\/24 + 7*u**3\/6 + 13*u**2. Calculate g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016745155 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jjtljjit?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -5, -3, 57 in decreasing order.\nAnswer: 57, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20007, -40015, -60025, -80037, -100051, -120067, -140085?\nAnswer: -160105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 608351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 4*h = -6*t - 2, 0 = 3*t - h + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 975264*k. Let f(w) = 2*w. Calculate f(u(a)).\nAnswer: 1950528*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubzzqqbuzbzzbbbqzrb. Give prob of picking 1 q, 2 z, and 1 b.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19258.565+-404\nAnswer: 18854.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -5, 1, 27 in increasing order.\nAnswer: -5, -4, 1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.2136, -28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + a - 2 - a**2 to y + t*a + k*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 4. Let r = -21 + 10. What is the remainder when 12 is divided by b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:55 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -56*r**2 + 4*r. Let c(g) = -56*g**2 + 3*g. Determine 3*c(y) - 2*i(y).\nAnswer: -56*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 845235.1 micrometers?\nAnswer: 0.8452351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12768034, 12768032, 12768030?\n\"Answer: -2*g + 12768036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 15*q**2 + 279680*q + 559260.\nAnswer: -5*(q - 239)*(q + 2)*(q + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1087 - -5. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -5. Let k be (606\/q + 2)*1250. Round k to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezj when three letters picked without replacement from {j: 1, e: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:15 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x - 50. Let t be w(-6). Let q = 3428\/7371 + -2\/567. Which is the third smallest value? (a) t (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338 - 182. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**14)\/c)\/(c*c**(-2\/3)))**(-11\/6) assuming c is positive.\nAnswer: c**(473\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 314*v - 30124. What is f(96)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 - (1 - 3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.08, 1\/137, -3\/5, -1?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -1\/95 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2798928 and 14136.\nAnswer: 2798928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3654, -7127, -10600, -14073, -17546?\nAnswer: -21019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430\/132 + 3*(-3)\/(-54)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - k + 34 - 5*k**3 - 2*k**3.\nAnswer: -7*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 1 + 4 + 5.\nAnswer: sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9941 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-2772)\/297.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-35)\/7)\/40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 9 + 8)*(0*v + v + 0*v) + (v + 4*v - 3*v)*(-4 + 8 - 5) in the form q + m*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11827*f = -1114*f - 1028448 for f.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194801372*r**3 + 132071270*r**2 wrt r.\nAnswer: 1168808232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*w + 7110 = -274*w - 338*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 1222 (c) 309 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 9*r - 984. Suppose 0*v + 15 = 5*v. Suppose -3*o = j + 172, 0*j - j + r = -v*o. What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426201 is divided by 71015.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woiwjco. What is prob of picking 1 j and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18312*h = -18284*h + 813 - 57 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1363, -2687, -4011, -5335?\n\"Answer: -1324*n - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1355 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Let y = -878.0379 + 878. Let g = y - 0.2621. Sort 1, g, -2, a.\nAnswer: -2, g, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -49, 2\/3?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a factor of 300508997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 172 + 140 = 0. Suppose 0 = y*f - 179 - 909. Calculate the highest common divisor of f and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and -10.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32760 = 5*a - 41*a. What is the second derivative of 910 - 204*q - a + 28*q + 67*q**2 - 2*q**3 wrt q?\nAnswer: -12*q + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306213*i - 113*i**2 - 306213*i - 435*i**3 + 113*i**2.\nAnswer: -435*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72041 is divided by 8086?\nAnswer: 7353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*l - l**5 - l**5 + 6*l**5 + 2*l**5 wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -172, 0.02741 in descending order.\nAnswer: 4, 3, 0.02741, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424016 is divided by 764?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/25, -3, -13560.\nAnswer: -13560, -3, -2\/25, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (3 + 8 - (15 - (-8 + 1)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 0 - ((-5 - 9) + 7 + 17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37754*c*g**3 - 3284*c*g**2 + 3*c*g wrt g?\nAnswer: 226524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - (2 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 5*c - 6*c)*(0 - 3 + 2) - 2 + 3 + 0 + 3*c.\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21712576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (10 - (5 - -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/12 + 3*p**3\/2 + 25*p**2\/2 + 11*p - 1. Let m be c(11). What is the closest to -2 in m, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, 4 in ascending order.\nAnswer: -38, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 13*o + 34*o - 99*o.\nAnswer: -55*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/15*24\/10 - (-198)\/33?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-12 - -2) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541192381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10.2. Let t = 2.9363 - -0.0637. Put 1, z, t, -2 in ascending order.\nAnswer: -2, z, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 4*x**2 + 2*x - 3. Let p be y(2). Let q = 9 + p. Is (-7)\/(-35) + q\/10 + 175 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(2*l**3 - 4*l**3 + l**3) - 2*l**3 + 0*l**3 - l**3 in the form p*l + n*l**2 + u*l**3 + g and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/14 - (-2)\/8*26. Suppose -k + g*k = 94585. Suppose -3*l = -5*q + k, -7*l = q - 2*l - 3761. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**4\/12 + f**2. Let y(m) = m**2 + 5*m. Let v(c) = c - 4. Let t be v(6). Suppose -1 = -t*g - 5. What is g*y(d) - 5*x(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -0. Sort -5, 2, g.\nAnswer: -5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/3 + 17*w**2\/2 + 21*w. Let k be g(-8). Solve -4 = -5*b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -155150.4.\nAnswer: 2172105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -29 - (-2)\/(-1). Let c = x - -63. Suppose 0 = 2*j - 5*y - c - 20, -2*y = 2*j - 40. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*k**6 + 4*k**2 + 20 wrt k.\nAnswer: 3120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 606\/19 - -1053\/76. Suppose 92 = -2*l + y, 3*y = -0*l + 4*l + 184. Let k = g + l. Which is the biggest value? (a) k (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -95, -4, -216, 2 in decreasing order.\nAnswer: 2, 1, -3, -4, -95, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 + 0.21. Which is the nearest to 0? (a) t (b) 4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + g - 16 = -42, y - 14 = -5*g. Let w be y*1\/(-1 + 2). Let x be (-6)\/4*(-12)\/w. Which is smaller: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*(sqrt(5) + 1) - sqrt(5)))**2 + sqrt(125) + 0 + 1.\nAnswer: 75*sqrt(5) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 844, 845, 846, 847, 848, 849?\n\"Answer: h + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2491, 10057, 22699, 40423, 63235?\nAnswer: 91141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/12)\/(8\/2). Let o = 224 - 249.7. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/3 - 5262299*m**3\/3 - 5262301*m**2 - 15786905*m\/3 - 5262302\/3 = 0 for m.\nAnswer: -1, 5262302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Which is the third smallest value? (a) -1 (b) r (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/185 and -81\/641654.\nAnswer: 3208270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(((s*s**6*s)\/s)\/s*s)*s\/(s**(-18)*s) assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -733*a - 76664 + 28286 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 11:59 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -64841 and -10?\nAnswer: 64831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1 - 1) - (-9936)\/(-8694).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 473*i**5 + i**2 + 1151*i wrt i?\nAnswer: 28380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4229*l**2 - 1364*l**2 - 450*l**2.\nAnswer: 2415*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3) + (-6 - (3 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*l**2 - 114*l**2 - 143*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*c = 100*c - 6600. Let i(j) = j**3 + j - 2. Let o be i(0). Let s = o - -27. Calculate the highest common divisor of s and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 54. Which is the third biggest value? (a) 0.11 (b) -5 (c) z (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099338797 to the power of 1\/2, to the nearest integer?\nAnswer: 33156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9083\/7 - 1298. Let a = 1.8 - 9.8. Let g = a + 13. Sort 0.3, w, g, 2.2.\nAnswer: w, 0.3, 2.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14934\/2795 or -4?\nAnswer: -14934\/2795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 113*r + 705. What is the remainder when 1259 is divided by x(6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(52))*-4 - sqrt(52))*3)**2.\nAnswer: -720*sqrt(13) + 11844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6800171 + c**2 - 6800171. Let y(t) = 7*t**2. Give 4*b(s) - y(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbbbbbmbmbmbbbbbb. Give prob of picking 1 m and 2 b.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 2*u - 4. Let s be h(3). Let a = -12 + s. Solve -9 = -a*g + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(168\/9))\/(9\/12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/3 + x**2\/2 - x + 1. Let d be q(2). Let v(g) = 0*g - 4*g + d*g. Let i(j) = -4*j**2. Determine v(i(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185189 divided by 1?\nAnswer: 185189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 2 - z + 5 + 5*z - z**3 + 4*z**2. Let h be a(4). Solve -5*n - 3 = h*x - x, -x = -2*n + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -0.91.\nAnswer: -13.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebu when three letters picked without replacement from bwlwbleuwwl.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*j - 297. Let t = j + 130. Let i = -35 - -50. Calculate the remainder when t is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7377259.\nAnswer: 7377259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 3:28 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*4\/16 + (-700)\/80. Let x(g) = -2*g**3 - 19*g**2 - 7*g + 22. Calculate the least common multiple of x(k) and 31.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(-1*sqrt(77) + sqrt(77)))\/(sqrt(1100)*-2 - sqrt(1100)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018*11.19.\nAnswer: 0.20142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 6:51 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 12*t - 1. Let m(n) = -64*n**2 - 60*n - 3. Let a(b) = -5*i(b) + m(b). Give a(1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 15 = -19*l. Suppose 2*s - 185 = -l*s - 4*z, -4*z = -4*s + 184. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 522 + -521.314. Round q to 2 decimal places.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -30. Let v(k) = 17*k + 36. Let g be v(l). Does 10 divide ((-1 - -4) + -4)\/((-1)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*j + 3*j - 12 = 0, 0 = 4*s - j - 17. Let m(r) be the first derivative of r**3\/3 - 5*r**2\/2 + 3*r + 2. What is the units digit of m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6180*l**3 - 2*l - l + 6198*l**3.\nAnswer: 18*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1029*j - 131. Suppose -2*o - c = -27, -42 = -3*o + 3*c + 21. Is d(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m + 15\/4*m**4 - 5\/3*m**3 - 5\/6*m**6 + m**5 + 34 - 5*m**2. Determine z so that p(z) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7866 divided by -3.\nAnswer: -2622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*y - 4*a, -13*y + 5*a = -11*y - 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 - o - 2. Let q be p(-1). Which is greater: -1\/72 or q?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c7a + 5?\nAnswer: -9c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y**2 + 11688*y + 8538084 + 16*y**2 + 9*y**2 - 14*y**2 = 0. What is y?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 = 2*u - 29, -6*q = -30. Let l be (-4 - 0)*15\/10. What is the remainder when 40\/3 - (-2)\/l is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - w + 11 = 0, w = -3*w + 12. Suppose 10 = 2*h - 6*h + 2*a, -3*h - 20 = -4*a. Sort h, u, -1.\nAnswer: -1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 - (1 + 5). Suppose -12 = 5*n + 8, -310 = -2*m - 4*n. Let z = -653\/4 + m. Do z and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 4, f: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 16*q + 97. Let z be n(-21). Let u be 387\/344 + 10\/z. Which is the biggest value? (a) u (b) 0.7 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4450.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 90?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-10 + -3 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168678076 or -168678079?\nAnswer: -168678076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1246949399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0 + 8, 5*z + 2*b = 146. Suppose -3*a - 2*p + 17 + 23 = 0, 0 = 5*a - 4*p - z. Solve 3*y = y - a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8907 is divided by 63.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*x + 4604*x - 203148 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 238336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/24 - 7*k**4\/24 - 4*k**3\/3 + 4*k. Let f(v) be the second derivative of l(v). Let y(r) = r**2. Determine y(f(u)).\nAnswer: 25*u**2 + 70*u + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let z be c(-4). Let i = z + -6. Let y(t) = -t**2 + 4*t. Let j be y(5). Put j, 1, i in descending order.\nAnswer: 1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3953 - 3952.9999990362. What is b rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -385.72 to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230775 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2346800 by -400.\nAnswer: -5867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/4)\/((-2)\/160). Let t(m) = m**2 + m - 4. Let f be t(7). Let o = v + f. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111192855551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000073126095 rounded to 7 dps?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210103 (base 4) to base 8.\nAnswer: 14423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -33*n**2. Let f be o(-1). Let s be (-6)\/f + 9\/11. Suppose -2*b - b - 5*l + 11 = 0, -b - s = -3*l. Solve 4*x = -u - 5, b*x + 0 = 5*u + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + h = -28. Let v be (-2)\/h + 184\/16 + -8. Solve 5*t - 17 = l, -4*t + 3 = -v*l - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 253704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2 - 5*a + 0*a**2 + 1 - 6*a**2 + 6. Suppose -76*j + 77*j - 3*y + 24 = 0, -5*j - 4*y + 13 = 0. Let o(h) = 3*h**2 + 3*h - 3. What is j*t(s) - 5*o(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (37 - 41) - 57.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8221 + 0.85456. Round o to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5. Let g(c) = c**2 + 13*c - 44. Let v(n) = -g(n) + 5*z(n). Calculate v(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2053 - -2107. Solve 60*w = o*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/984 and 107\/7331784.\nAnswer: 7331784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**7\/7 - g**5\/60 + 35*g**4\/24 - g**3\/3 + 31*g**2 + 2*g. What is the second derivative of i(r) wrt r?\nAnswer: 360*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 9*k + 10*k - 120*k**2 + 9*k**2.\nAnswer: -111*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*f - 6 = 0, -19*l - 5*f + 1 = -15*l. Is 1\/16 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2977, -11251, -24815, -43669?\nAnswer: -67813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1362984 and 59584?\nAnswer: 10903872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*d + 34*d = 3751. Suppose 3*t = 5*t - 2*r - 292, -5*r = 3*t - 478. Calculate the remainder when t is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2764*g - 925*g + g**2 - 930*g - 909*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 + 2*k**3 - 10 + 32.\nAnswer: 2*k**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 124, 34, -102, -278, -488, -726?\n\"Answer: z**3 - 29*z**2 - 10*z + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 22841112704192.\nAnswer: 22841112704191.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-6)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 17*i + 16. Let f(r) = -6*r - 5. Let z(j) = 11*f(j) + 4*p(j). Let t be z(8). Let v = t + 33. Is 29 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 14*o - 4. Let z be p(7). What is the second smallest value in z, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i**3 - 5*i**2 - 1. Let z(p) = 40*p**3 + 25*p**2 + p + 6. Let s(n) = -11*q(n) - 2*z(n). What is the tens digit of s(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35125 (base 9) to base 16.\nAnswer: 5b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113132121021 (base 4) to base 2.\nAnswer: -10111011110011001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/4)\/q)\/((q*q\/((q*(q**(1\/6)*q)\/q)\/q))\/q))\/(q**(-5)\/(q\/q**5)))\/((q**2\/q**5)\/(q**0\/q**(-7))) assuming q is positive.\nAnswer: q**(113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 46.\nAnswer: 27\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -12 - (1 + 0 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Let j be ((-8)\/6)\/(12\/(-18))*-5. Let d = j + 14. Determine q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - r + r)*(25048*r**3 - 48*r**2 + 57*r**2 - 9*r**2 - 104305*r**3 + 3*r**3 - 3*r**3 + 2*r**3 + (-2*r**3 + 4*r**3 - 4*r**3)*(-3 + 2 + 3)).\nAnswer: 158518*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*v + 36 = 797*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 95\/2, 4, -1\/4, 7\/5, -1, -1\/2 in ascending order.\nAnswer: -1, -1\/2, -1\/4, 7\/5, 4, 95\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m - 2*c + 84, 4*c = -8. Calculate the highest common factor of m and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (7 - (11 + (-11 - -14))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + 9*s - 2. Suppose 0 = 2*m - 6, 3*d + 3*m - 5 + 8 = 0. Let l(u) = -7*u**2 + 10*u - 3. Let x(p) = d*h(p) + 3*l(p). What is x(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5, -5*d + 0*j + j = -11. Let b = 2 + d. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9456251 or 0?\nAnswer: -2\/9456251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 5 + sqrt(847) + 1)**2.\nAnswer: 264*sqrt(7) + 3424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 2, 2\/3, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5 + 4.466. Let l = -0.0339815 - u. What is l rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x = -73*x + 189, 3*x - 3264 = -3*c. Calculate the remainder when c is divided by 156.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1133, 2252, 3369, 4484?\n\"Answer: -s**2 + 1122*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/297 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16128 - -20835. What is the least common multiple of d and 5753?\nAnswer: 51777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054 divided by 2?\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 7*g**2 + 3*g - 6. Let r be 38\/9 + 18\/(-81). Suppose r*t + t = 110. Calculate the remainder when t is divided by j(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j - 30*j + 59*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 459130204 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 - 155. Let c(q) = 43*q + 79. Is c(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/19 - 8120\/(-6612).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*k**3 + 146641*k**2 + 21725755 wrt k.\nAnswer: 111*k**2 + 293282*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1229 - 11084\/9. Let w be (22\/(-28))\/(99\/286). Let y = w - a. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 2. Let a be f(7). Suppose -42 + 12 = -3*t. Suppose -v + 3 = -a*r, t*r = 5*v + 5*r - 15. Let l(m) = m**2 - 3*m - 1. Calculate l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 2*x**3\/3 + 251*x + 4. Let m(l) = 264*l. Give n(m(t)).\nAnswer: 1056*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 + f**3 - 248327680*f**2 + 920795674 wrt f.\nAnswer: 8*f**3 + 3*f**2 - 496655360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 11:09 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 577817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**4 + 15*b**3 - 11*b**2 - 3*b. Let l(c) = -12*c**4 + 44*c**3 - 32*c**2 - 8*c. Let r(d) = -3*l(d) + 8*v(d). Factor r(x).\nAnswer: 4*x**2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1230)\/55)\/(5164\/28402).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 3*t - 10. What is k(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6644160 and 4429440.\nAnswer: 13288320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1089, 1222, 1723, 2778, 4573?\nAnswer: 7294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 130 + 43 = -150 - 7 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 + 6*u - 8. Let t be r(-7). Let j be (7\/2 + -4)*16\/t. What is the lowest common multiple of (4\/j + 1)\/((-6)\/(-16)) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 - -5?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/1 - (-5 + -15). What is the highest common divisor of j and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59\/4 of a kilogram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 31282*k\/5 + 31284\/5.\nAnswer: -2*(k - 15642)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1355.03 to the nearest 10.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from tmximvvvmcvc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264402 + 224212959\/848. Find the common denominator of -59\/848 and n.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 554*u**5 - 155*u.\nAnswer: 11080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 - 33 = 110*i - 466. Let c(v) be the first derivative of -i*v**2 - 23 + 0*v + 2*v**4 + 2\/5*v**5 + 2\/3*v**3. Find b such that c(b) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 152536.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (656\/(-492))\/(2\/(-1))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2287 divide 81279980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) 0.04 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from eexffxxfefxx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 - 3*o - 10. Let l be a(-4). Let j be (l\/1002)\/((-31)\/186). Suppose z + g - 1 = 0, 0 = g - 3*g. Is z greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - -0.432\nAnswer: -0.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 7*c - 8 - 2.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 20804*c + 1 - 21324*c as h + n*c and give n.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (2 + sqrt(114)\/sqrt(6) + sqrt(19))**2 - (sqrt(19) - (sqrt(133)\/(sqrt(35)\/sqrt(5)) + sqrt(19)))**2.\nAnswer: 9*sqrt(19) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*n - 26*n**2 - 107*n + 55*n.\nAnswer: -26*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 320947?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q\/(q\/(q*q**(-1\/3)))*q))**36*(q\/(q*q**2))\/(q*q\/q**(2\/19)*q))**(-14) assuming q is positive.\nAnswer: q**(26838\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 8184?\nAnswer: 40920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34\/5 of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000 (base 2) in base 15?\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 762 (b) -5 (c) -0.08 (d) -1\/2 (e) 2.4 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 797*h + 145320.\nAnswer: (h - 1384)*(h - 210)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:14 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58455.05km in nanometers?\nAnswer: 58455050000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, y: 13}. Give prob of sequence ayya.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 10:08 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33924.42 years in millennia?\nAnswer: 33.92442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1782 and 2106.\nAnswer: 23166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o**(2\/5))**(-17\/2)*o**(3\/5)\/o*o**(5\/6)*(o*o**(2\/25)*o)\/(o\/o**(-5\/4)*o) assuming o is positive.\nAnswer: o**(-26741\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (8357*l**2 - 17128*l**2 + 8538*l**2 - 2)*((l + l + 0*l)*(-2 + 1 - 1) + 0*l + l - 2*l) in the form z + j*l**3 + y*l + n*l**2 and give j.\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -25*l. Let q(d) = 451*d. Calculate -55*c(m) - 3*q(m).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*u - 4379 + 4075 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 85*c**2 - 49*c**2 - 53*c**2 + 11*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 35*o + 152. Give d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 8*h**2 - 115 - 84*h + 4\/3*h**3. Let r(m) = 0. Calculate m.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -643*c**2 + 3214*c + 4. Give m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (521*v + 40*v + 180*v)*(-2*v**3 + 1 - 1).\nAnswer: -1482*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let b(s) = 3527*s + 110. Let j(f) = -1763*f - 66. Let v(a) = -3*b(a) - 5*j(a). Calculate i(v(x)).\nAnswer: -1766*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2945 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54, -108, -164, -222?\n\"Answer: -d**2 - 51*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*v - 11, 0 = 2*v - 0*v - 2. Let k = 4547\/5085 - 3\/565. Solve -2\/9*q**i + k*q - 8\/9 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 4*d + 2. Suppose 0 = -3*f + 2*y + 2, 0 = f - 5*y - 148 + 156. Calculate z(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 583401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:33 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 36. Let k be h(-7). Let m(r) = 8*r - 1. Give m(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113331.2 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 881542765 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: Let z(p) = 4*p + 6. Let v(a) = -16*a - 28. Let q(h) = -3*v(h) - 14*z(h). Calculate q(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927848?\nAnswer: 2, 115981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l**2 - 22*l + 6. Let r = -460 + 455. Let c(w) = 8*w**2 + 15*w - 4. Let x(q) = r*m(q) - 8*c(q). Calculate x(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 2*y**2 + 8*y - 39. Let l be x(7). Let u = l - 122. List the prime factors of u.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1\/(3 - (-2)\/(-42)*62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40624 - 162848 + 40975 + 40621 + 40628 + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-286)\/4)\/11)\/(2\/(-4)). Suppose j*b = 22*b - 261. What is the highest common divisor of 261 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 1. Suppose -65 = 4*d - 53. Let b(i) = -3*i - 5. Let j(u) = d*f(u) - 3*b(u). Differentiate j(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 + 26)*(-99456)\/(-333)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*v + 4835 = 1881 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 3. Let d(n) = 3*n + 2. Let l(s) = -2*s - 2. Let x(p) = -5*d(p) - 6*l(p). Let j(k) = 8*x(k) - 5*z(k). Determine j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95 plus -95.6178?\nAnswer: -94.6678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 1.6549579\nAnswer: 9.9297474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 68. Let w = u - -18. Let i(v) = v**2 - 3*v - 7. Let j be i(5). Put w, -15, j in descending order.\nAnswer: j, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 5*a**2 - a + 1. Let j(n) = 6*n**2 - 1 - n**2 + 3 + 2*n + n**3 - 3. Let o(h) = -3*j(h) - 2*x(h). Determine o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15119, -2, -7, -12.\nAnswer: -12, -7, -2, 15119","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -73\/201 + 2\/67. Which is the second smallest value? (a) n (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 67*q**3 + 120*q**3.\nAnswer: 173*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1465?\nAnswer: -1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0 - 1) + -1. Suppose 25*o + 71*o = -37*o + 266. Put o, p, 5, -2 in ascending order.\nAnswer: -2, p, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 2216157524307*z - 2216157524307*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 623264282 to the nearest one hundred thousand.\nAnswer: 623300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 9*h**2 - h + 10. Let w be r(9). Let q be (75\/(-4))\/(w\/(-4)). Suppose 6*v - q = v. Calculate the greatest common factor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/6 + 5 - (-3 - (-119)\/21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*k + 325573 - 1300189. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -67. Suppose u = -4*x - 3*v + 37, 4*v + 15 = 11. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + -0.18. Let v = -0.05 + -0.35. Let m = 3406 - 3405.7. What is the second biggest value in m, -5, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382378877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1099 at least as big as -1101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215445821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1320)\/900 + 5\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/(p\/(p*p**(-20))*p*p)*p)*p*p\/(p\/(((p**0\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.98249138 to three decimal places.\nAnswer: 54.982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*g**4 - 553232*g**3 + 1179468*g**2 - 764664*g + 156604 = 0.\nAnswer: 1\/2, 17\/15, 2303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 58. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3572 (base 12) to base 14\nAnswer: 227c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 112120101111110?\nAnswer: -112120101111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8411, -16802, -25193, -33584, -41975, -50366?\nAnswer: -58757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-168) - ((-56)\/(-64))\/7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3 + 8*b + b**2 - 18*b + 6 + 0. Let y be t(9). Solve x = -y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12399, 23160, 33921, 44682, 55443?\nAnswer: 66204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 0*d**3 + 4 + d**2 - d**3 - 8*d - d**3 + 5*d. Let v(q) = q**2 + 3 + 11*q - q**3 + 17*q + 0 + 12*q - 42*q. What is -3*r(s) + 4*v(s)?\nAnswer: 2*s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 1:52 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 2512?\nAnswer: 67824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1076330685 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/11 + -45\/22. Which is the closest to -1? (a) 0 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94833*f*q**3 + 2*f + 100300 wrt q.\nAnswer: 284499*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -14 (c) 3\/5 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17011 minus 16?\nAnswer: 16995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -457784.\nAnswer: -915568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22100100102120 (base 3) to base 7.\nAnswer: 52462425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - -48 - (-8 + 24 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(44)\/sqrt(4) + -5 + (sqrt(11) - (sqrt(110)\/sqrt(10) + 3))*5)**2.\nAnswer: 160*sqrt(11) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-481)\/(-3) - (-12)\/(-36). Let v be (-25)\/(-10)*c\/25. What is the highest common divisor of v and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = 2*b. Suppose 3*t = j + 87, 2*t + 5*j - 48 = 27. Suppose a = -4*a - x + t, 4*x = 0. Solve -b*v + 17 = -a*v - m, 3*m = v + 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 11) + -12 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.947+726.81\nAnswer: 728.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11)*(p*p**(-2\/11))\/p*p**(1\/6)\/(p*p\/(p\/p**6)))**(-21) assuming p is positive.\nAnswer: p**(3325\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*l - 3. Suppose 0 = -3*p - 15, p = 3*t + t - l. Let y be (-7)\/7 + 2\/3. Is t at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41287 + -14?\nAnswer: -41301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -8 - (-12 - 43)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 17*v = 8. Suppose -3*m = v*u - 7, -5*u + 18 = 5*m - 7. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 29. Calculate o(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) 0.07 (c) -6\/11 (d) -1 (e) 87\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(-24)\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-i + 0*i + 7*i)*(0*i + 1 + 0 + i).\nAnswer: -6*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 3. Let t be -2*6*w\/(-4). Let j = -10 - t. What is the greatest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(-3\/29)\/(g**(-1))**(-14\/3)*(g**(1\/3))**(-2\/81)\/(g**3*g*g**(-1\/16)\/g) assuming g is positive.\nAnswer: g**(-855397\/112752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19539\/45591)\/(15\/259)?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g)**(-15\/7)\/(g**3*g**4) assuming g is positive.\nAnswer: g**(-143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -460085 from -45509735.\nAnswer: -45049650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 13.8. Let m = n - 1. Put -3, m, -1\/4 in decreasing order.\nAnswer: m, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*a + 3312*a + 2355*a - 120477 = 467*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.00385 - -62. What is a rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141176571 to the nearest integer?\nAnswer: 11882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22756587.\nAnswer: 3, 7, 181, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a*d**3 + 1163*a*d**2 + d**3 + d**2 - 1085 wrt a?\nAnswer: 8*d**3 + 1163*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:56 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v + 0*f = -3*f - 113, 2*v - 2*f - 15*f = -18*f - 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.08050048 - 24.08048008. Let a = -23 - v. What is a rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(448) + -5 + sqrt(448) + 1*sqrt(448)*2))**2.\nAnswer: -3600*sqrt(7) + 101025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/5 - 6676*c**3\/5 - 20046*c**2\/5 = 0?\nAnswer: -3, 0, 3341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259893 divided by -67.\nAnswer: -3879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdo when three letters picked without replacement from odsoodooodooddooo?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -323, -626, -925, -1220?\n\"Answer: 2*j**2 - 313*j + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 8. Let o be m(-6). Suppose 21 = 5*s - 9. Let d be 546\/22 - s\/(-33). Solve -o*r - y = -0*r + 20, -d = 5*r - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15209554 by -6.\nAnswer: -7604777\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taa when three letters picked without replacement from {t: 6, a: 5, e: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:57 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0448619 years to months.\nAnswer: 0.5383428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let k = -0.409 + 0.009. What is the closest to c in k, -5, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 7. Let r = -9 - -15. Does 11 divide h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((sqrt(60)*1)\/sqrt(12)) + 0.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2*k + 3)*(2 + 233 + 0) + (-2 + 1 + 0)*(2*k - k + 0*k).\nAnswer: -471*k + 235","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536747271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44034400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/8*(-85 + 121) is divided by 60?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 3*z**2 + 2. Let y be (-2 + 2)*13\/26. Let h be i(y). What are the prime factors of (-220 + -8)*h\/(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 435899608 - 435899608.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*o = -492, -t - 3*o + 0*o + 88 = 0. Suppose d = 28 + t. Let k = -181 + d. Round k to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -28 + (1 - 4) + (-1272 - -1265)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229 - 83. Suppose v + 79 = 2*q, -34 = 3*q + 5*v - c. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085 + 353 + 429 = 64*a - 1717 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -20. Which is the closest to 0.1? (a) v (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 r when four letters picked without replacement from glrrgrgeglrrrglrgr.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -137, -4 in descending order.\nAnswer: 0, -1, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*y - 4*t - 10, 3*y = -4*t + 4. Suppose 5*b = 2*l + 5320, y*l - 3192 = -3*b + l. Does 76 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*1848\/(-836)*110\/(-60)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcs when four letters picked without replacement from vsvbcscxcvvvvcic.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1501\/110 + -72\/11. Let w = 252344245\/357 + -1413681\/2. Let c = 5\/119 + w. Find the common denominator of x and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 17085870 in decreasing order.\nAnswer: 17085870, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9874485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25204 - 12047575\/478. Calculate the common denominator of -15\/26 and x.\nAnswer: 6214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -x - 21, -26*x - 5*t = -22*x. Suppose 0*q - q - 3*r = -34, -2*r = -2*q + 68. Which is the closest to x? (a) q (b) -1\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - -38) + -15 + 22\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 12*b**2 - 5*b - 10. Let g(n) = -6*n**2 + 2*n + 5. Let i(j) = -5*g(j) - 2*l(j). Let o(p) = 2*p**3 + 5*p**2 - 4. What is 3*i(s) - 4*o(s)?\nAnswer: -2*s**3 - 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(10\/(-15)*-3). Let c be (9\/2 - 5)*(n - -32). Is c smaller than -150\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 133\/(-7) - (-3 - -6 - -6). Which is the biggest value? (a) -2\/13 (b) -5 (c) k (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {m: 8, i: 6, k: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1488 = -4*q, -2*q - 24*w + 25*w = -732. Calculate the highest common factor of 6348 and q.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**5\/80 + 7*l**4\/6 - 635*l**3\/24 + 825*l**2\/4 + l + 1567. Let n(o) = 0. Calculate o.\nAnswer: -66, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*h - 40*d**3 - 10*d*h - 38847*h wrt d.\nAnswer: 6*d**2*h - 120*d**2 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2642, -2506, -2280, -1964, -1558, -1062, -476?\n\"Answer: 45*z**2 + z - 2688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 3*d. Let u(y) = -2*y**3 + 8*y**2 + 3*y - 8. Let c be u(4). Differentiate 1 - c - 3*i**2 - 2*i**2 + 3*i**d with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -1.1. Put -3\/7, 0, i in descending order.\nAnswer: 0, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 85845.2g?\nAnswer: 85845200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1620163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -288.39251\nAnswer: -14.4196255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3805 + 825. Let t = z + -839. Let r = 1060 - t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 24.7.\nAnswer: 24.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.5 (b) 0.1 (c) -1 (d) 1\/175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111225 (base 6) in base 13?\nAnswer: -4364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.47 + -0.57. Sort -4, u, 0.02, -0.2.\nAnswer: -4, -0.2, u, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169223 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9645 - 9621. Let n be 274 + 2 + 28\/7. What is the highest common factor of w and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*t = -21. What is the remainder when 19 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979025 is divided by 195504?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00111176836 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (1 - -5) - (-606)\/202. Solve 17*a + 56 = -y*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(162) + 5 + sqrt(162))**2.\nAnswer: 180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 17*d + 20. Suppose -5*f - 10 = -5*l - 0, -d*l = 5*f + 1. Calculate the highest common factor of 8 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -468 - -472. Suppose -5*m = 3*y - 3, -4*m + 9*m - a = -4*y. Solve y - 7 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t**3 + 0*t**4 + 0*t + 0 - 19\/60*t**5 + t**2. Let o(w) = -2*w. Give a(o(u)).\nAnswer: -76*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqtqfftffq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w + 5*m - 9 - 13 = -62*w, -w + m - 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:48 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217010 divided by 2217010?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = k - 2, -k = -2*q - 5. Suppose 5*a + 8 = 33. Suppose -2*j = 3*l - 22, 3 = a*j - 3*l - 10. Solve -j*w + 0 + k = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40.8, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c**4 + 4*c**3 - 20730*c**2 + 20730*c**2 - 1 + 17*c**4 + 11*c**4 to k*c**2 + s*c + i*c**3 + q + b*c**4 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 977034*o - 4. Let f(r) = -4*r**2. Calculate s(f(y)).\nAnswer: -3908136*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16133840 and -47\/160?\nAnswer: 32267680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o*z**3 - 3*o*z + 21951*o - 23*z**3 wrt z.\nAnswer: -12*o*z**2 - 3*o - 69*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 633952839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 - 2*m**2 - 3*m - 2. Let b be o(-1). Find the third derivative of -11*d**2 + 8*d**5 - 5*d**5 - 14*d**b wrt d.\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 2 e when four letters picked without replacement from {y: 6, x: 1, m: 4, h: 3, e: 2}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + 42 + -43 + 4 + -7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18204730601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k**2 + 3. Let u be j(-3). Let q be -4 + ((-39)\/2)\/((-6)\/12). Suppose -4*i + u = -q. Calculate the greatest common factor of 46 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.428 - -14.25. Let s = 1.4 + -4.2. Let h = w + s. Round h to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-24)\/36)\/(2\/309). What is the tens digit of 13\/(x\/(-16))*147\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 + 0*a**2 + 2*a + 7*a**2 - 14 - 5*a. Let k be r(6). Suppose -5*g = -2*g - 6. Sort 5, k, g in decreasing order.\nAnswer: 5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 12) to base 8.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6017177, 6017179, 6017183, 6017189, 6017197, 6017207, 6017219?\n\"Answer: r**2 - r + 6017177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k - 40 = k + 29. Put -4, -2, 641, k in ascending order.\nAnswer: -4, k, -2, 641","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k - 1. Let o = 55 + -39. Let y = o + -6. Calculate the remainder when f(3) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -6*(sqrt(7) + 1)**2)*-2.\nAnswer: 22*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 13. Let q = 24 - 6. Let p be 1\/(-2*1\/q). Let z be i(p). Solve j - 15 = -5*x - 5, -z*j = x - 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 14 + 52 + -22 + -3?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5670000*o**3 - o**2 + 2*o - 1. Let z be u(1). Suppose 84 = 104*c - 92*c. Suppose 0 = 2*d + c*d + z. Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 124812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/2, -5, 2452, 0.2.\nAnswer: -5, -3\/2, 0.2, 3, 2452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -595 + 599. Suppose -g - g = -6. Let p = 1 - 2. What is the nearest to p in x, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50338194.2 - -656497?\nAnswer: -49681697.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/20 - d**4\/2 - 5*d**3\/6 + 3*d**2 + 6*d. Let q = -7 - -2. Does 6 divide u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -13, -1, 3.\nAnswer: -21, -13, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -30 = -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 81641623?\nAnswer: 2\/11663089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, f: 1, q: 2, b: 1}. What is prob of picking 1 f and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -144294?\nAnswer: 1\/72147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2\/93 (b) -0.5 (c) -1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18366827 is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-5)*(-3 + 1). Solve 3*r + w = -11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64.0096 - -7511.3804. Let w = g - 7518.38976. Let i = -57 + w. What is i rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70292, 70363, 70478, 70649, 70888?\nAnswer: 71207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1584))*-2 - sqrt(1584)) + 5 + (sqrt(1584) - ((1 + sqrt(1584))*-3 - sqrt(1584))) + 4 + (sqrt(1584) - (-1 + sqrt(1584))) + 1)**2*5.\nAnswer: 2880*sqrt(11) + 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 17*x**2 + 6*x - 14. Suppose 0 = -5*z - 4*i + 244, -3*i = z + 2*z - 144. What is the smallest common multiple of j(-8) and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291845.\nAnswer: 5, 58369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 540 = -6*i. Suppose 7*o = 2*o + i. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -13738.3 (c) -2 (d) 1\/12 (e) -4 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 75.7, 2\/13, 4, 1526 in increasing order.\nAnswer: -1\/4, 2\/13, 4, 75.7, 1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3963 by 1321.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -239 (base 10) to base 16\nAnswer: -ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246362, -982718, -2209978, -3928142, -6137210, -8837182, -12028058?\nAnswer: -15709838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v**2 + v)*(4*v - 7*v - 5*v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0310683km in centimeters?\nAnswer: 3106.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 26661.6298365.\nAnswer: 26665.6298365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -8. Suppose 3*z = 15, -5*h = -z - 327 + 342. Sort 2, h, b in ascending order.\nAnswer: h, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32385401?\nAnswer: 32385401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 136657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 0.4 (b) -0.19 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6887 + 11300?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 144*z + 42. Let x be l(12). Let o be 1\/(-4) + x\/40. Let d = 41 - o. Which is bigger: d or -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 + 566. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 100*d + 235. Let k be (-5)\/((-490)\/91 - -5). Is g(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(15)\/sqrt(3) - sqrt(5)) + 2 + 0 - (1 + sqrt(35)\/(sqrt(21)\/(2*sqrt(3)))))**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 931 and 627.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 3*x, 0 = 2*x - 5*j + 16 - 4. Solve x*a = 3*l - 18, 0*l = -5*l + 3*a + 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2947, -3683, -4419, -5155?\nAnswer: -5891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1772\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/174 and 9\/797413?\nAnswer: 4784478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 2\/3, -3\/8, -2\/3, -4\/4069?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 16332385?\nAnswer: -81661925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 108001*y**2 + 4*y - 5. Let g be h(-5). Round g to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-18)*(80136\/(-1120))\/159?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49059942817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-37 + 44 + -46 + -19)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 20668032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12507317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5.98. Let v = w - 0.02. What is the nearest to v in -3\/7, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + a**2 + 1. Let j(p) = -4*p**3 + 5*p**2 + 2*p + 1. Determine g(k) - j(k).\nAnswer: 3*k**3 - 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 68, 2\/13, -0.2, -4\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6856 - -11634. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 + 750. Let l = 745 - i. What is the greatest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 134*((-28)\/8 + 3). Let l = -12 - i. Let w = l - 24. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4849 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**7\/231 + 4*y**6\/165 - 3*y**5\/110 - 3*y**4\/11 + 141*y. Let h(f) = 0. What is f?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7518271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-17\/2)*q)\/((((q**(-1)*q*q)\/q)\/q)\/q))\/(q*q**15*(q**7*q)\/q) assuming q is positive.\nAnswer: q**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 276, 292, 308, 318, 316, 296, 252?\n\"Answer: -f**3 + 6*f**2 + 5*f + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.013986\nAnswer: -0.0013986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:26 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*h, -5*w = -5*h - 5 + 15. Which is the nearest to -2\/7? (a) w (b) -0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/49)\/(7\/(-2)*1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/169 and -42?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnlllellleelllll. What is prob of sequence een?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158519?\nAnswer: 3, 386173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**15\/q)**(-2\/7)\/(q\/(q\/(q*q\/q**(-5)))*q)**(-3\/5) assuming q is positive.\nAnswer: q**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-923)\/(-13) - -4*1. Suppose 4*s + 138 = 3*z, 0 = -2*z - 5*s + 2*s + r. What is the remainder when z is divided by 10*-2*(-7)\/((-175)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 16 = 23*s, -3*p = -4*s - 2171931 + 2171943 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/3 (b) 63 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.337 + -89175717.09.\nAnswer: -89175717.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) -1 (d) 0.13 (e) -0.0758 (f) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + -7d12e?\nAnswer: -7d11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)**(-2\/145)\/(s**(-8)\/s**9) assuming s is positive.\nAnswer: s**(2467\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let d be (11*(-156)\/429)\/(-2 - (-10)\/3). Sort d, -2, -5, y.\nAnswer: -5, d, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7, -1, 677?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + -4 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34\/515 (b) 4 (c) 3 (d) 2 (e) -1 (f) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2325332 millennia in years?\nAnswer: 232.5332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 711\/(-6)*(-1 + (-1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 16}. Give prob of picking 3 o.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -24101280 less than -24101281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 79 = -89. Let r be 1 + -1 - (-16)\/i. What is the closest to 1 in 5, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14 (b) -2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -28\/5, -5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**5\/10 - v**4\/2 - 2*v**3\/3 + v - 1. Let o(t) be the first derivative of s(t). Suppose o(l) = 0. What is l?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and -57?\nAnswer: 56.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93.5 and -0.43?\nAnswer: 40.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 336962?\nAnswer: 5\/336962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*o - 361, o - 8*h - 119 = -6*h. What is the remainder when o is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 14*h - 1. What is t(-16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -14554?\nAnswer: 15035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, l: 1, f: 3}. Give prob of picking 2 n and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4427, -17723, -39869, -70859, -110687, -159347, -216833?\nAnswer: -283139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 142\/31 (b) 20 (c) -1\/3 (d) 0.5 (e) 6 (f) -0.1 (g) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Suppose 5*u - 6 = -2*c, -4*c + 5*u - o + 13 = 0. Let g(x) = -3 + x**2 + c. Let j(n) = 2*n**2. What is g(j(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a5 (base 15) to base 4.\nAnswer: 123002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 2*j - 7)*(21*j + 14*j - 44*j)*((-2*j + 3*j - 2*j)*(-6 + 3 + 5) - j - j + 0*j)*(-5 + 3 + 0) to the form b*j**2 + o*j**3 + l + r*j and give o.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 7*j - 1. Let s be a(-6). Let b = s + -24. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**4 + 10*t**3 + 20*t**2 - 10*t - 15 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 minutes after 12:04 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -953 + 314. Does 25 divide -2 + -1 - k*(0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3 (c) 0.2 (d) 0.4 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 945 = -z - 879, 24*z + 33 = -5*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7133 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 4179\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13230 + 52923\/4. Let w = 394 - 2369\/6. Which is the closest to 2? (a) x (b) w (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44439 = 524*t + 59111 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**4 + y**3 + y**2 + y. Let v(q) = 27*q**5 - 11*q**4 + q**3 + 3*q**2 + 145*q. Let h(z) = -l(z) + v(z). Find the third derivative of h(m) wrt m.\nAnswer: 1620*m**2 - 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2997901?\nAnswer: 2997901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. Suppose 0 = -2*w + h + t, -4*w + h - 4 + 14 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 218, 701, 1638, 3179?\n\"Answer: 25*b**3 + 2*b**2 - 2*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -7, -35, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (-2*(sqrt(11) - (sqrt(11) + 0)**2) - (sqrt(66) - 1*sqrt(66))\/sqrt(6)) + (-2 + sqrt(891))**2 + -5 + -3.\nAnswer: -38*sqrt(11) + 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 1. Let t be q(-1). Suppose -12 = -2*a - t*a. What is the remainder when 13 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-20252)\/(-6) + (-4)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 2:07 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -3. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -28. Let f(l) = -6*l**3 + 3*l**2 - 2*l - 1. What is the common denominator of -37 and f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -489 + 498. Solve m + 6 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**4\/8 - 5*q**3\/6 + 9*q**2. Let f be j(2). Calculate the remainder when 55 is divided by 1\/((-2)\/(-58*f)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 1621*f**2\/2 - 5*f - 2. Suppose 3*j + 15 = 6*j. Let m be c(j). What is m rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63584146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 2*b + 20, 9*y - 5*b - 3*b + 3*b + 46 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 20*w + 57. Suppose 0 = x + 5*g - 15, -3*x - 4*g = -6*g - 11. Suppose -53 + x = 2*b. What is the tens digit of c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 2 (b) 0.5 (c) -3\/4 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 4*f + (0*f + f - 2*f)*(0 - 4 + 2) to the form t*f + a and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 - 1)*(-5*o + 4*o + 2*o) - 2*o + o + 3*o)*(-2*o - 4*o + 13*o + (-6 + 38 + 2)*(1 - 1 + 2*o)) as h*o + z + t*o**2 and give t.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 169, 0, 123814 in decreasing order.\nAnswer: 123814, 169, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let j(t) = -20*t - 25. Let y(l) = j(l) + 6*o(l). What is the units digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 5*x - 2. Let c(r) = -r**2 + r. Suppose 2*q - 5*q + 4*j + 231 = 0, -2*j + 411 = 5*q. Let b = q + -78. Calculate b*c(l) + y(l).\nAnswer: 2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 = -11*a + 2*x, 1243*a - 1241*a + 3*x = -81 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 6. Let m(t) = t - 7. Let i(g) = 7*a(g) + 6*m(g). Let l(o) = o**2 + 3*o - 4. Let d be l(-4). Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4612.82081 rounded to 1 dp?\nAnswer: -4612.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 + 11*o**5 - 142*o**4 + 32*o**2 + 28 wrt o?\nAnswer: -120*o**3 + 660*o**2 - 3408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/332724 and 67\/595?\nAnswer: 1663620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -94*m. Let q(p) = -627*p + 1892*p - 628*p - 635*p. Determine d(q(f)).\nAnswer: -188*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1306 = -4*z + 2026. What are the prime factors of z?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-8) + (-120124)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237\/5 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:07 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r. Let a(y) = -21798*y. Give a(b(t)).\nAnswer: 43596*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 19*h + 27. Calculate g(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 (base 10) in base 9?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.82 + 6764.82. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5322646 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + 5966a73?\nAnswer: 5966a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578\/14155 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 34*y - 115. Let l be z(29). Let x be 12\/((-1)\/((-3)\/l)) + -2. Let f = -0.42 - -0.02. Put x, -16, f in descending order.\nAnswer: f, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.105 (c) 3 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1548*k + 1415*k + 48924 = 1151*k for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33793.68ml in litres?\nAnswer: 33.79368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, a: 4, h: 1, d: 4, e: 3, r: 5}. What is prob of picking 1 a, 2 d, and 1 c?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r**2 + 2. Let t(y) = 25*y + 24*y + 40*y - 67*y. Calculate t(m(h)).\nAnswer: 418*h**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*1*sqrt(275) - sqrt(275))*3 + -6*4*(2*sqrt(275) + sqrt(275)))*3 + 0)**2 + -2.\nAnswer: 18733273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -184111, -184219, -184327, -184435, -184543, -184651?\n\"Answer: -108*w - 184003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + r = -22, -4*u - 3*r = -2*u - 33. What is the remainder when (-6)\/12*10*-5 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167011\/246 - -4075\/6. Let z = a + 3\/41. Let q(o) = -o**3 - 6*o**2 + 7*o - 1. Let l be q(-7). Is z not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.78 - 5.08. Let f = 80 - 60. Which is the closest to 1? (a) -1\/6 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350.2*2.76.\nAnswer: 966.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -451 * -0.0449\nAnswer: 20.2499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -18. List the prime factors of (-4)\/n + (-41)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*z + 0*z = -45, -z + 11 = -4*u. Calculate the common denominator of -95\/8 and 41\/(4 - (98 - u)).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 272901.84 months?\nAnswer: 227.4182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-20)*(-37 + 2). Solve 3*l + 14 = -5*p, -3*p - q + 12 = 2*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 961.709 + -964.3. Round i to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 7 (c) -3\/2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-36)\/z**(4\/5))**(1\/38) assuming z is positive.\nAnswer: z**(-92\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2982*u**2*v**2 - 4*u**2*v + 2*u**2 + 72*u*v**2 + 2*u - 22*v**2 - 2 wrt u.\nAnswer: -5964*v**2 - 8*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*f - 535 = 174 - 485 + 846 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 35*k**3 + 15*k**3 + 18*k**3 - 7*k**3 + 17*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/188939 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 8:57 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 12:00 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -37*m**2 + 33*m - 1. Give b(2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-9)\/(-798)*4)\/((-61)\/((-6710)\/165))?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2321333 (base 4) to base 11.\nAnswer: 8a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 28*b + 27. Let l be u(-7). Let h = -3 - l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 - 6. Let h = 184 + -181. What is the second biggest value in h, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 - 1101001010111?\nAnswer: -1101010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34208729 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-30)\/(-6) - 4). Suppose -5*f + 22 = 4*i, -13 = -f - f - p*i. Solve 5*k + 5*l - f = -32, 5*k - 3*l + 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 10*q. Let h(c) = 188*c - 1450. Determine h(y(n)).\nAnswer: -188*n**2 + 1880*n - 1450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j + 83*j = 5*l - 4831, 5*j - 3*l + 8041 = 0. Let b = -857 - j. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 17*s**2 + 4*s + 9. Let t be r(17). Let g = -67 + t. Let n(v) = -30*v + g*v + 21*v. Let p(b) = 25*b**2. Determine n(p(j)).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -167*o - 3698 + 105 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.72646ms to nanoseconds.\nAnswer: 53726460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46690570637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**3 + 9 - 4 + 4*n**3)*(-329 - 300 - 16)*(0 - 2 + 1) to the form a*n**3 + i + v*n**2 + w*n and give i.\nAnswer: 3225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(-1 + sqrt(448) + sqrt(448) + (sqrt(448) - -5*sqrt(448)))*-4)**2*2.\nAnswer: -102400*sqrt(7) + 22938400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1463 < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -190.\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -352797*m**2 + 6*m. Let j(c) = 26*c. What is j(u(p))?\nAnswer: -9172722*p**2 + 156*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:32 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13214 + 2.86786. Put -1515, r, -5, 0.3 in decreasing order.\nAnswer: r, 0.3, -5, -1515","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71414 is divided by 1115.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/9? (a) 35 (b) -6 (c) -0.4 (d) -3\/4 (e) 0.1 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29126 - -16386. Let z = 45511.000025 - b. Let v = -1 - z. What is v rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from znnnpfnnzfnnn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078851273 rounded to five dps?\nAnswer: 0.00789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 - i - 1. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*y**4 - 386*y**3 - 4936*y**2 - 9418*y - 2052 = 0. Calculate y.\nAnswer: -27, -19, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -140827*(-6 + (-6 - -1)) - (-10 - -7). What is k rounded to the nearest ten thousand?\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9711 divided by -3237?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 + 2*m. Suppose 0*k - 14 = -f + 4*k, -f + 3*k + 11 = 0. Suppose q - 8 = -f*v, -5*v - q = -0*v - 14. What is p(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -39*o. Let t(l) = 21127*l. Determine t(s(y)).\nAnswer: -823953*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + (-2)\/(-7). Let i(f) = 3*f + f + 2*f**2 + 127 - f**2. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**6\/600 - 7*m**5\/200 - 5*m**3 - 3*m**2\/2 + m - 22. Let h(q) be the second derivative of b(q). Factor h(a).\nAnswer: -3*a*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 0.5\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5)*14\/(-7)*10. Suppose x*d - 393 = 411. List the prime factors of d.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*h - 966*h = 1104*h + 3519*h - 373105 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126606975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 3*c**2 + 7*c**2 + c - 2*c**3 + c**3 - 11. Let v be j(9). Is v at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 104386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (250*p + 682*p**4 + 246*p + 715*p**4 - 502*p)*(-7 + 2 + 3) to u*p**4 + m*p**3 + a*p + g + d*p**2 and give u.\nAnswer: -2794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 32 = 2*h. Let r be (-2 - -44)\/(h - 92\/24). Let y be 2\/(-17) - r\/(-119). Solve -a + 0 - y = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9412.126 nanograms in micrograms?\nAnswer: 9.412126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -696*s + 1 - 2*s**3 + 221*s**2 - 690*s - 2*s**4 + 2086*s - 699*s as h*s + g*s**3 + z + i*s**2 + k*s**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6*-1)\/((11100\/(-975))\/(6\/(-13)))?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.86 + 20.9. Let o = d + -0.04. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/k**(-2\/5))**(1\/6) assuming k is positive.\nAnswer: k**(13\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0306 * 125.9.\nAnswer: 3.85254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - (-3 + 0 - -17)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/216632 and -50\/2379.\nAnswer: 39643656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 - d - 2. Let s be m(-2). Let b be (-2)\/s - (-304)\/(-672). What is the smallest value in 5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-12))\/(8188\/(-712))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2119975 and 130460.\nAnswer: 8479900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718619.\nAnswer: 3, 7, 81839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 18. Let q = 6.12 - s. Let y = 0.18 + q. Which is bigger: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37405, 74798, 112187, 149572, 186953?\n\"Answer: -2*n**2 + 37399*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from ggsxgtetyxtysy?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from zdzazdjzaadyaazd.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5966541 is divided by 127.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*x**2 - 3*x + 6*x + 116*x**2 as w + j*x**2 + k*x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25056 and 576?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(264\/(-84))*-5*(6\/(-3))\/(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268644310 to the nearest integer?\nAnswer: 16390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23270 (base 8) to base 11\nAnswer: 74a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 890.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 856940*-3\nAnswer: -2570820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2100552 (base 6) to base 15\nAnswer: 20035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 456410*2037\nAnswer: 929707170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3))**(16\/5))**(1\/12))**(4\/23) assuming s is positive.\nAnswer: s**(-16\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 3. Let w be k(-8). Let b = -5 + w. Suppose -t + b*m = 2*m - 37, 5*t + 5*m = 160. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3641 is divided by 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1023\/248)\/((-2640)\/192)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o + 39. Let w be s(-6). Suppose w*k - 86 = 85. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2727, -2671, -2603, -2517, -2407, -2267?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a + 4*l = 0, -5*a = -2*l - 21. Solve 0 = -r - a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161*-0.81\nAnswer: -130.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*c**3 - 39*c**2 + 11*c + c**3 + 11*c + 135*c**2 - 20*c as j*c**2 + t*c**3 + a*c + n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 3 - 8\/(-2). Suppose 0*r = -o*r + 14. Solve r*c + i + 6 = 0, -3*c - c + i = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(637) + 2)*5*1.\nAnswer: 10 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*g - 87*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 1\/840*b**8 + 2\/75*b**5 - 2\/15*b**3 + 1\/60*b**4 - 2*b**2 - 1\/150*b**6 - 2\/525*b**7 + 0*b + 0. Determine c so that w(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109961869*g**5 + 56024892*g - 2?\nAnswer: -2199237380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0, 1\/3, -0.4, 15.\nAnswer: -0.4, 0, 2\/9, 1\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 90. Do 4 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 + -76. Let y = f - 110. What is the highest common divisor of 46 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 17*r - 20. Let j be a(-15). Suppose t - 1 = 3. Solve 13 = 4*x - s, 5*x - j - 1 = -t*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f + 154. Let i be t(-51). Let s = 5 + -5.3. Which is the fourth biggest value? (a) 1\/2 (b) i (c) s (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8445.954 micrometers to millimeters.\nAnswer: 8.445954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = -3*y + 5*j, 3*y - 8 = -j. Suppose -7*c = -y*c - 8. Suppose l = 4 - c. What is the smallest value in l, 1, 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4411441 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + a = -2*i + 26, 2*i + 2*a = 4 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2617, 2618, 2619, 2620, 2621, 2622?\n\"Answer: h + 2616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71446 and 45870?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4130 (base 12) to base 13\nAnswer: 32c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3374560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*a - 10871 = -3919*a + 297381 for a.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60179.03l in millilitres?\nAnswer: 60179030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -1. Let a = -0.0668 + 166.0668. Let g = a - 166.1. What is the biggest value in g, -1, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -19*j - 98. What are the prime factors of n(-33)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(475)*-1 + 2 + -1*(sqrt(475) - (sqrt(475) + 1)))**2 + (sqrt(475) - (sqrt(475) + -1)*3 - (sqrt(475) - -1*sqrt(475))**2*-4))*4.\nAnswer: -160*sqrt(19) + 32348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 42. Suppose l - 6 - 21 = 0. What is the lowest common multiple of z and l?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 49580*w**2 - 7706468*w - 297612084.\nAnswer: 4*(w - 12549)*(w + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2520 and 1813005.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -753, -755, -757, -759?\n\"Answer: -2*m - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -2.5 (c) -3\/19 (d) -11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10391*m = -10390*m - 2*b - 14, 0 = -9*m - b + 164 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 323, 746, 1451, 2504?\nAnswer: 3971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*z**3 - 66973163*z**2 + 66973163*z**2 - z + z.\nAnswer: 97*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 17 = 2*w + 8 - 9, 2*w + 4 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.13000102 + -1.13. Round w to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/4 + (-15)\/4 + 4. Suppose -7 = 2*b - y*d, 0*b = 3*b - 2*d + 38. Let q = -13 - b. Solve -c = -q*t + 4 - 2, 5*c - 6 = -t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w - 2*w + 88 + 32 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 49. Suppose -r*n + 1128 = 4*a - 2*a, -1119 = -3*n - 5*a. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybvy when four letters picked without replacement from {d: 1, b: 3, y: 2, s: 1, v: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 61*u**2 + 127*u - 19. Let s be p(63). Let h(i) = i**2 - i. Let r(a) = 2*a**3 + 22*a**2 - 22*a. What is s*h(q) - 2*r(q)?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*b - 647*b - 247*b - 627*b.\nAnswer: -2116*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10. Let d = m - 4. Let l = -5 + 3. What is the closest to 0.1 in 0.1, l, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4\/5, -1\/5, 4\/9.\nAnswer: -1\/3, -1\/5, 4\/9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/5)\/w))**(-2\/79)*w**(-5\/4)\/w*w\/(w**5\/w*w) assuming w is positive.\nAnswer: w**(-9971\/1580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3*z + 237623716*l**3 + 351123*l**2*z - 23*z wrt z?\nAnswer: l**3 + 351123*l**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8 - (-46)\/8. Suppose 4*r = -3*u + 39, r - 5*u + 41 = z*r. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -32, -225, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, z: 2, g: 3, e: 1, j: 2, x: 4}. Give prob of picking 2 i.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110015 (base 10) in base 11?\nAnswer: 1834667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2\/3 (b) -6.13 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**6\/30 + 2*n**5\/5 - 5*n**4\/2 + 16*n**3\/3 - 11*n**2\/2 + 4*n + 67. Find t such that d(t) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1200.\nAnswer: -1\/1200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3328)*1 + -4 - (2 + (-3*sqrt(3328))**2) - (0 + -6*(sqrt(3328)*-1 - sqrt(3328)) + (-2*(sqrt(3328) + 1))**2).\nAnswer: -43274 - 304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737460 times 0.14?\nAnswer: 383244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8076 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131122101230 - 30?\nAnswer: 1131122101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 3*p**2 + 2*p - 5. Let q be b(-4). Let u be 93\/18 + q\/(-18). Let a(r) = 7*r - r - u*r. Let c(m) = m. Calculate a(c(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/18 and -50\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000297606962 to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 14643, 94\/5?\nAnswer: 14643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03756517 to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w + 0*w)*(4*w - 3*w + 0*w) + 58 - 58 + 6*w**2 to u + q*w + m*w**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -628, -1394, -2456, -3808?\nAnswer: -5444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 1, c: 2, q: 1}. Give prob of sequence qqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g + 2488 = -k, -4*g = -k - 3317. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.1. Let i be (-1)\/5 - (-6)\/15. Let t(c) = -c - 1. Let p be t(1). What is the nearest to b in p, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 - 0.6. Let o = 1193.89 + -1189. Let m = o - -0.11. What is the nearest to 0.2 in m, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -324.4.\nAnswer: -328.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqk when three letters picked without replacement from {q: 3, c: 6, d: 1, k: 6, a: 2, r: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/12*(7 - 1). Let b be (4\/u)\/((-120)\/180). Let r(y) = -y**3 + 2*y**2 + 2*y - 2. Calculate r(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13443513*u + 75774936 wrt u?\nAnswer: -13443513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6920326 to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 + 456. Let c = j - -1169. Is 34 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 2*c + 1. Let h = 6 - 8. Let q be z(h). Let y be (0 + 2 - q)\/1. What is the closest to 0 in 4, y, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25216 (base 8) to base 7\nAnswer: -43522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:09 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/130*(-48)\/18*10\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36417719869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -10) - (3 - 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -0 - 7. Let w be (0\/c)\/((4 - -2) + -5). Let u(y) = y**3 - y + 1271. Is u(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 101 = 11*t. Suppose 2*w = -5*a + 41, -w + 3*a - 48 = -4*w. What is the remainder when t is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -983*t**2 + 59*t**2 - 276*t**2 in the form q*t**2 + r*t + w and give q.\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(12\/152). Let l(b) = -b**3 - 5*b**2 + 15*b + 10. Let m be l(-7). Solve -5*q - 5*o = 5, -x = -2*q + m*o + 2*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 24.9. Let z = m + -16.1. Let p = z - -21. Which is the second biggest value? (a) 1 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1292 - 23173\/18. Let i = -194303\/14 + 13871. Find the common denominator of i and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (3 + 3 + -6). Let u(q) = q + 7. Let f(j) = j - 1. Let c(k) = o*u(k) - 4*f(k). Calculate the remainder when 46 is divided by c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45752 is divided by 3049?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 250, 1909, 6356, 14965, 29110?\n\"Answer: 229*i**3 + 20*i**2 - 4*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -384*-0.99\nAnswer: 380.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585013 to the power of 1\/2, to the nearest integer?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 350 = 3*w, p - 5*w - 31 = 11. What are the prime factors of p?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 740996591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*i = -600012, 0*r + 5*r + 2*i = 599994. What is r rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -562213*h**3*w**3 - 387*h**2*w**2 + h**2 - 166*w**3 wrt h?\nAnswer: -3373278*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**2 + 6*c**5 - 3*c**2 - 3*c**5 wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30722265 and 79380.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82 and 41.\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2. Let h(j) = 1. Let c(f) be the second derivative of f**3\/6 + 3*f**2\/2 - 2*f. Let n(g) = -2*c(g) + 6*h(g). Determine r(n(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + sqrt(2) + 5.\nAnswer: sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-1*14\/(-35)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 20 = -5*w, 21*u - 2*w = 18*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-102)\/(-4) - 7\/14. Suppose -a + 5 = -10*g. Suppose -4*k = 2*b - b - 69, -g*k + 57 = 5*b. Calculate the remainder when 62 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72098.24l?\nAnswer: 72098240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.1, 2.9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71889827 is divided by 2362.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75033 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24366883 to the power of 1\/2, to the nearest integer?\nAnswer: 4936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -34*a + 14. Let j(h) = -3*h + 46. Let u be j(20). Let i(p) = -7*p + 3. What is u*i(k) + 3*v(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7884683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b - 1. Let s(i) = 440*i**2 + 3*i - 1220. Let p(l) = -s(l) - 3*t(l). What is the derivative of p(f) wrt f?\nAnswer: -886*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*f**2*p**4 - 701*f**2 + p**5 + p**4 + 2*p**2 wrt p.\nAnswer: -2064*f**2*p + 60*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(3\/25)\/o)\/o)\/o**(-14)*(o**(-31))**(-6\/11) assuming o is positive.\nAnswer: o**(8533\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p - 5*m, -4*m - 4 = -2*p + 8. Is (-534)\/p*(-1 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6320 - 50223\/8. Let h = 42 - k. Let l be (-49)\/(-63) - (-4)\/(-9). Which is the third smallest value? (a) h (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1542 - -158. List the prime factors of o.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20497 equal to -102492\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-64))\/((-1)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2 - 541236*d - 24411367308 = 0.\nAnswer: -90206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 10*c - 15. Let s be i(-8). What is the greatest common divisor of 5 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12431, 12113, 11557, 10763, 9731?\n\"Answer: -119*p**2 + 39*p + 12511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or 104395?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed74 + 9?\nAnswer: -ed6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(-2436)\/(-32480).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161760197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 128. Solve -5*x + 0*v - s = 4*v, -3*x - 11 = 2*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -32558.\nAnswer: -976740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181851863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111000001 (base 2) in base 12?\nAnswer: a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 0, 0 = 3*i - 5*i - 4*w + 728. Let o(q) = 1 + 15 + 6 - 3 + i*q. Is o(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88088827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92539.\nAnswer: 29, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 0 - 2*x - 1 + 8*x + (-3*x - 2*x**3 + 3*x)*(95426 - 1244*x - 95426).\nAnswer: 2486*x**4 + 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.4 - 20.4. Which is the closest to 3? (a) -4 (b) k (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32690105.96 - -0.3.\nAnswer: 32690106.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13226?\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488262 is divided by 2519.\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let f = x - 2. Let j = -2015\/11 + 183. Which is bigger: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 210?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-2) + 470\/(-47). What is the closest to 0.05 in o, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -133 - -16) + (-180 - -175)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25700275 (base 8) to base 6.\nAnswer: 322525005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2 + 2 - 2 + (-m - 2*m + 5*m)*(12 + 1 + 1).\nAnswer: 29*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**4 + n**3 + n + 2. Let m(u) = -7*u**4 + 6*u**3 + 2*u**2 + 92*u + 12. Let x(g) = -m(g) + 6*p(g). What is the second derivative of x(b) wrt b?\nAnswer: 12*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bf - -d4?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 6, v: 2, t: 3}. What is prob of picking 1 f and 2 s?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Suppose 0 = 3*w - 4*d - 82, 14 + 24 = w + 4*d. Let c be 8\/(-10) - 312\/w*-2. Solve -k*t - t = c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 66. Suppose 4*x + 233 + 191 = 4*p, 5*x - p + 534 = 0. Let r = 129 + x. Is r smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k + 2. Let o be g(-3). Let x = o - -8. Suppose 5*f - x = -4*w + 7, 0 = -5*w - 4*f + 7. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40540 (base 8) to base 10.\nAnswer: -16736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-1\/4))\/(v*v*v*v\/(v\/v**17)))\/(v**(2\/5)*v*v*(v\/(v\/v**(-5)))\/v*v) assuming v is positive.\nAnswer: v**(-303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1992, -2132, -2272, -2412, -2552?\nAnswer: -2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from ddddrdrdddd.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/6 - 2*z**2 + 2*z. Let c be (-1)\/(-1 + (-12)\/(-15)). Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**3 + 6*q**2 + q + 8. Let v(w) = -20*w**3 - 18*w**2 - 4*w - 23. Let m(l) = -17*a(l) - 6*v(l). Let g be m(-5). Do -6 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*y + 10, -2*y + 15 = 5*p - 7. Solve 17 = -5*o - 4*t - 0*t, p*o + t + 18 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 w when four letters picked without replacement from {q: 2, n: 4, w: 1, j: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, y: 1, w: 1}. Give prob of sequence wy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17511 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -23 + 4*z + 17\/2*z**2. Differentiate p(i) with respect to i.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217710 + -24?\nAnswer: 217664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1662752 + -797071. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535931.558ms in weeks?\nAnswer: 0.002539569375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13983957, -13983968, -13983985, -13984008?\n\"Answer: -3*h**2 - 2*h - 13983952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -1\/30*p**4 - 5 - 31\/15*p**3 - p + 0*p**2. Factor q(v).\nAnswer: -2*v*(v + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 460668.6 minutes?\nAnswer: 27640116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*y + u - 6*u, 2*u = -4*y + 28. What is the highest common divisor of 54 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-0.2.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431347*i**5 - 7*i**4 - 20725020*i?\nAnswer: 8626940*i**3 - 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.94 - -4.92. Let z = w - -0.02. What is the second smallest value in z, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1768390 divided by 13603.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38585, -38587, -38589, -38591, -38593, -38595?\n\"Answer: -2*p - 38583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 + 3*b - 7. Calculate w(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 300 - 0. Let v = 76 + q. What is the greatest common divisor of v and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 107*j**3 + 790*j**2 - 157937*j - 3.\nAnswer: -24*j**2 - 642*j + 1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 at least as big as 419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1031\/10 - 27397\/270. Let z(t) = 2*t**3 - 3*t**2 - t + 4. Let k be z(3). Find the common denominator of o and k*(10\/48)\/(7\/28).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208\/336 + (-7)\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 707047 + 231753. Round n to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10352 + -9757.6. Round t to the nearest 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 458878?\nAnswer: -1\/458878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 637607997 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*k**3*n**3 + k**3*n*p**2 - 2*k**2*n**2 - 3*k*n**3*p - 4*k*n**3 - 10*k*p**2 wrt p.\nAnswer: 2*k**3*n*p - 3*k*n**3 - 20*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, j: 2, r: 1, x: 2}. Give prob of picking 1 j and 1 r.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*x - 45751153*k**3 - 123345046*k**2*x wrt k.\nAnswer: 12*x - 274506918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0599 + -0.1599. Which is smaller: v or 0.0221?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-35)\/h)**(4\/15) assuming h is positive.\nAnswer: h**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqoav. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (13 + (-171)\/(-38))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*c + c + h, -15 = 5*c - 5*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**3*t - 3*a**2*s - a*s*t**2 + 11*s*t + 3*s + 2*t**2 wrt a.\nAnswer: 6*a**2*t - 6*a*s - s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Calculate the remainder when 31 is divided by w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/3 + l**3\/2 - 3*l**2\/2 - 5*l + 161. Give t(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 528 divided by 71126\nAnswer: 24\/3233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1 + n - 1 - 1. Let a be x(5). Let q(j) = j**2 + 5. What is the tens digit of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 650257, 650253, 650249, 650245, 650241, 650237?\n\"Answer: -4*w + 650261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0*u**4 + 1\/480*u**6 + 0 + 1\/6*u**3 - 2*u - 1\/80*u**5 + 10*u**2. Let f(x) be the first derivative of t(x). Factor f(p).\nAnswer: (p - 2)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from owd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10003261.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (22 - 42) - 16) + (31 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 4)*(197*w**2 + 33699 - 2*w**3 - 33699).\nAnswer: 10*w**3 - 985*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -4, -7, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094 = -3*z + 3*o + 229, 2*o + 1326 = 3*z. What is the smallest common multiple of z and 1110?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*k - 520*k + 6068 = -3715 + 438 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-26 - (-3 + 1)). Suppose n - 14 = -2*b. Let i(m) = m**3 + 5*m**2 + 6. Let c be i(b). Solve 3*d = c*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(78)\/sqrt(294) - ((sqrt(156) - 1*sqrt(156))*4)\/sqrt(12)*-6)**2.\nAnswer: -4*sqrt(13)\/7 + 101\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p**4 + 49*p**3 - 49*p**3 + (-p + p**3 + p)*(3 - 3*p - 3))*(-1 - 1 - 1).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5776 = -458*r + 150*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b + 2. Let h(z) = z**2 - z + 1. Let g(m) = -45*m**2 + 30*m - 30. Let q(x) = g(x) + 30*h(x). Calculate q(d(v)).\nAnswer: -3840*v**2 - 960*v - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/18 - (-1)\/2. Let x = 55 + -54. What is the closest to x in -4, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s - 3 = 0. Let a be 4 + -1 + (s - 2). Solve a = 5*f + 10, -6*k = -4*k - 2*f + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22932820 to the nearest integer?\nAnswer: 4789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3860137 to the nearest integer?\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, s: 3, t: 8, x: 1, e: 2}. What is prob of picking 1 i and 1 s?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0*s + 12. Suppose s*f + 1 = -4*w, -6*w - 1 = -5*w + f. Put -3, -6, w in ascending order.\nAnswer: -6, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33731 rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 214974\nAnswer: 42994.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 33 = -3. Let q(l) = -63*l**2 + 66*l**2 - u - l + 0*l + 3*l. Let s be q(1). Solve s*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + 2*(3 + sqrt(1377))) - ((2 + sqrt(1377) + sqrt(1377) - sqrt(1377)) + -5 + sqrt(1377)*-3*2))**2.\nAnswer: 1134*sqrt(17) + 67554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482725237 to the power of 1\/2, to the nearest integer?\nAnswer: 66953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 17*l + 16. Give k(12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-504)\/220 + 1111\/505.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 7 + 2. Let b be ((-1)\/f)\/(5\/45). Suppose g + b + 3 = -2*v, -5*v - 15 = -4*g. Are 2\/9 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5 + 3 + 0 - 5*m - 14. Let f(r) = -r - 1. Determine -4*f(u) + k(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -16. Suppose -f = 2*d - 669, 0*d + 5*f = -2*d + 681. Is 2 + 0 + d - m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19578 + -19609. Is 10 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(48) + sqrt(240) + (sqrt(240) - (sqrt(240) - 2*sqrt(240))))\/((sqrt(180) + (sqrt(180) - sqrt(180)*-1))*4).\nAnswer: 49*sqrt(3)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 13 - 2*y**2 - 130.\nAnswer: -2*y**2 - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpwpc. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 47 - 223 = 0. Suppose -31 = -4*m - w, 3*m - 2*w - q = -4*w. Solve -32 = -5*p - m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -j, -5*d = -j - j + 20. Let q(k) = 4*k + 10. Let a(t) be the first derivative of -t**2\/2 - 3*t - 122. Let r(y) = -3*a(y) - q(y). Calculate r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from uuuuuuzlzzuzz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 3*d)*(6*d**2 + 3*d**2 - 3*d**2) + (-2*d + d + 5*d)*(-16 + 6*d**2 + 16).\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, l: 1, o: 1, v: 5, f: 2, y: 2}. What is prob of picking 1 l, 1 t, 1 f, and 1 o?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:28 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8080.50097 rounded to zero decimal places?\nAnswer: -8081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, o: 3}. What is prob of picking 3 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*y**4 - 6)*(1 + 0 - 3) - y**4 - 1 + 1 - 2 - 5*y + 5*y - 3*y**4.\nAnswer: -16*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 1, t: 1, v: 1, s: 1, u: 2}. Give prob of picking 1 t and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - -2*(-8)\/(-6). Is 5 a factor of (-4)\/f*(-32535)\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.7 + -0.7. Let d = z - -5. Let q = 14.2 - d. Which is the nearest to -1? (a) q (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*j + 5 = 0, -j + 4*j = 15. Suppose -4*d + 44 = -2*s - 2*s, 3*d + 37 = -4*s. Let f = -7 - s. Is f greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 15) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000555982 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8.79 or 0?\nAnswer: 8.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/14*6614 + (2 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22433 = 701*b - 63091 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let b(t) = 17*t. Let u(h) = -1888*h. Let i(n) = 224*b(n) + 2*u(n). Give i(f(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdiqqtzddptdd. Give prob of sequence dp.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 302144314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 6*y + 10. Let n be c(-7). Suppose -n*d = -d + 2*j, 2*d + 3*j = -5. Suppose d*t - 3 = l - 0*t, 0 = 4*l - 5*t + 12. Is -4 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -63. Suppose -4*l + 419 + 653 = i. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7478*a**3 + 3*a**2 - 3*a - 36. Let o(z) = 747799*z**3 + 299*z**2 - 299*z - 3588. What is 299*c(j) - 3*o(j)?\nAnswer: -7475*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:41 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/42 and -23\/64908.\nAnswer: 454356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*u**3 - 80*u**3 - 21*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.02 (b) 1\/6 (c) -18263 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.49 + -4.49. What is the nearest to -1 in -1\/4, -0.2, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000485987 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -25*r**4\/4 - 145*r**3\/3 + 15*r**2 - 1785. Suppose u(a) = 0. Calculate a.\nAnswer: -6, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162360 * -0.124.\nAnswer: -20132.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17525241.\nAnswer: 3, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -412\/5. Suppose -o = -x + 2 + 2, 0 = -2*x - 4*o - 16. Which is the nearest to 2\/9? (a) x (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102281 is divided by 102046.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1005621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186 = 221*z + 2415 + 3191 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*z - 228, -4*w + 4*z - 133 = -365. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -8*b**3\/3 + b**2 + b. Let j be p(1). Let s(f) = f**3 + 16*f**2 + 21*f + 3. Is s(j) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2323 - 9291\/4. What is d in 0 + 1\/4*d + 3\/4*d**3 + u*d**4 + 3\/4*d**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let y(s) = -19070500*s - 2. Determine b(y(w)).\nAnswer: -57211500*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/3 - 3*h**2 + h. Let n(p) = -70*p**2 - 4*p. Let t(v) = 18*v**2 + v. Let o(c) = n(c) + 4*t(c). Calculate o(m(u)).\nAnswer: 32*u**4 + 96*u**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, t: 7}. Give prob of sequence ttt.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o**2 + 31*o - 31*o in the form u*o + c + f*o**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, 1, -31623, -3.\nAnswer: -31623, -3, -2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013179291 to 4 dps.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let f be -2 - (1 - n) - 1. Let c(d) = -9*d**2 + 3*d - 9. Let x(p) = -4*p**2 + p - 4. Let i(z) = 3*c(z) - 7*x(z). Calculate i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 16, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10464766 divided by -26\nAnswer: 402491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -229 in descending order.\nAnswer: 3, 1, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 7) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**3 - 6*y**2 + 6*y. Let m(h) = -1833*h + 915*h + 5*h**2 + 913*h - 7*h**3. What is -6*m(a) - 5*o(a)?\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28673.93024 - -28674. What is b rounded to three dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98.142 - -1.142. What is the closest to -2 in -2, g, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*d**3 + 2*d - 73*d**3 - 2*d)*(46 - 46 + 10*d**2).\nAnswer: -1050*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -746165 less than -746165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -104*g + 19. Let f be s(5). What is the units digit of 3\/(-4) - (f\/12 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - -13 - (-5 - (-3261315)\/(-220)). Suppose w + 8037 + 6799 = 0. Let z = q + w. What is the common denominator of 91\/36 and z?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1067 - -1498. List the prime factors of l.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5189.1 and -0.02844.\nAnswer: 5189.07156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29800, -29878, -29980, -30082, -30160, -30190, -30148?\nAnswer: -30010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.51, 0.3, -3, 3\/29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(2*p - p + p) + (0*p - 2*p + 3*p)*(2 - 1 - 3) - 4*p - 2 - 1 + 2*p.\nAnswer: -8*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27020 and 332.\nAnswer: 2242660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 7*r + 13. Let m be i(5). Suppose -u - 355 = -t, -m = 4*u - 3*u. Calculate the remainder when t is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 8 - (13 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 11*p + 2. Let y be n(14). What is the greatest common factor of y and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*n + 18, n - 13505 + 13507 = -3*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*2*(((-1 + sqrt(1584))*-1)**2 + sqrt(1584) - (sqrt(1584) + (-2*sqrt(1584)*1 - sqrt(1584)))**2).\nAnswer: 120*sqrt(11) + 47508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1197 = 11*r + 900. Solve 5 = -2*t - 5*l, -2*t + r = t - 4*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Let p be (1\/(-4))\/(j\/(-12)). Solve 0 = -4*i + 5 - p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183949 is divided by 422?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240 divided by -9?\nAnswer: 1240\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-830*t**2 + 1578 - 1578)*(1 + 0 + 5).\nAnswer: -4980*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 24*i + 125. Let x(d) = 24*d + 131. Let v(t) = 6*x(t) - 7*z(t). Let h be v(-4). Solve 3*s - 5*w - 2 = 9, -3*s = -w - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*m - 12 = -3*n, -5*n + m = -15. Let g(o) = -11*o + 8. Let i(x) = -3*x + 2. Let q(b) = -2*g(b) + 9*i(b). Let j be q(1). Which is greater: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 98*n. Let y(d) = -13171*d**2. Give y(q(o)).\nAnswer: -126494284*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*c**2\/5 + 41976*c\/5 - 1820232\/5 = 0 for c.\nAnswer: 954\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -863 + 2991. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203790 divided by -40758.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 5*s - 9. Let x be o(7). Let t = -0.2 + -0.9. Let l = 1.2 + t. Which is the second smallest value? (a) l (b) -1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:30 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180378.\nAnswer: 2, 3, 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.5. Which is the third biggest value? (a) -1 (b) -3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 + (28 - 18) + 5 - 17\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1858.00002686 - 1858. Round r to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 111168.\nAnswer: 1000512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x**22\/x*x*x*x*x)\/x*x*x**(-8\/7) assuming x is positive.\nAnswer: x**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -7. Let c = 364 + -6186\/17. What is the nearest to -2\/7 in b, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**3 - 115*a**2 - 447*a - 1109. Calculate n(-19).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c**4 + 30*c**3 - 300*c**2 + 21*c - 42. Let q(w) = -w**4 - w**3 - w + 2. Let j(d) = -21*q(d) - y(d). What is the third derivative of j(f) wrt f?\nAnswer: 72*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/6)\/(-3) - (-1032)\/(-48). Let i be (-10)\/35 - (2 - (-258)\/d). Solve v = -2*j - j - 6, 3*v + i = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 1\/6 in ascending order.\nAnswer: 1\/6, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 5 + 2 - 2.\nAnswer: -2*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 118. Suppose -4*a + 0*a + 664 = b*q, -510 = -3*a + 3*q. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = -28. Let h = 29 + l. Let v = h - -31. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((144\/84)\/(-12)))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*q + 2. Let x(g) be the third derivative of -3*g**4\/8 + g**3 - 2*g**2. Is x(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-14 - (-19 + 9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, -176, -709, -1732, -3383?\n\"Answer: -23*m**3 - 38*m**2 + 94*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + 71*p**2 + 31*p + 29. List the prime factors of a(-14).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 41517, 3 in decreasing order.\nAnswer: 41517, 3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2132.08128 - 2132. Round c to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 2*d. Let p be (0\/2)\/(-5 - -2). Let h be (p + 8\/(-10))*20. Let t = 14 + h. Let o(i) = i**3 + i. Calculate t*o(l) + a(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -7, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30392 divided by -197?\nAnswer: 30392\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 15 = -h, 4*h - 7*v = -4*v + 3. Is (518\/(-63)*267)\/((-2)\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 3. Let c(b) = 1. Let p = 41 - 50. What is p*c(w) + 2*x(w)?\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 464\/3 - 9277\/60. Let y(p) be the third derivative of 0*p**4 + 1\/70*p**7 + p**2 + 0 + 0*p**3 + 1\/20*p**5 + l*p**6 + 0*p. Solve y(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 6. Let j be d(3). Suppose -5*s - 638 = -3*i, -6*i + 872 = -2*i + 4*s. Calculate the highest common factor of i and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49327262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (-2 + 1 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from ssyyssyssssyysrsssss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*f**3 - 53*f**3 + 31*f**3 + 164*f**3.\nAnswer: 221*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140 + 169. Suppose b + 3*l = 72 + x, 5*b = 2*l + 471. What is the highest common divisor of b and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25\/2 + 12. Which is the third biggest value? (a) -3 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2333 and 52.\nAnswer: -12.1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 4606?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let f(s) be the third derivative of s**6\/180 + s**3 + 12*s**2. Let c(l) be the first derivative of f(l). Calculate j(c(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-93)*118668\/(-316448)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 10*x + 12. Let s be u(-10). Let j be (-4)\/s + (-70)\/(-174). Let a be 174\/1160*(-5)\/(-3). Is j > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - 4*l**2 + 6*l - 2. Let f(m) = m**2 - 7*m. Let h be f(6). What is b(h)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o. Let l = -14 - -19. Suppose -i - 2 = -4. Let k(j) = -j**2 + l*j**2 - j**i. Calculate m(k(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*m - 9, -16*m - 56 = 53*y - 49*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 h, and 1 w when four letters picked without replacement from hwhwhwwvhvhhvwwwhhh.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 6*(-1 + sqrt(99)) + 1 + sqrt(99) + -1 + 5)*1 + 5 + 5)**2.\nAnswer: 252*sqrt(11) + 4887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7\/2 (b) 2\/71 (c) -2 (d) -1\/7 (e) -2\/4089 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 1 - 1)*(0 + 4 + 1)*(-2*l**2 + 3*l**2 + 3 + 0*l**2) + 2640*l - 2640*l + 15*l**3.\nAnswer: 20*l**3 + 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrlrlllllrrrrlrllrr. Give prob of sequence lr.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/61, -2, 12, 1 in ascending order.\nAnswer: -2, -5\/61, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**3 + 24*b. Let w(l) = -4*l**3 + 16*l. Calculate 5*h(u) - 8*w(u).\nAnswer: 2*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*8 + 1\/2. Let c = 1868 + -1859. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.14 + 50.14. Let f = v - 49.2. Which is the smallest value? (a) 2\/7 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3 (c) 0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 - 142. Let j(u) = u + 7. Determine j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -220459 + 220458.98. Let d = 6 - 4. What is the third biggest value in t, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000202200120 (base 3) to base 15\nAnswer: -abdec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/60 + t**4\/3 - t**3\/2 - 9*t**2. Let r be o(6). Suppose 10*s - r*s = 0. Solve m + s = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 >= 3335973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-8))\/((-2)\/(-64)). Let j = -3 + 4. Let w be (-15)\/(j*(-3)\/3). What is the greatest common divisor of w and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140291 - 1.\nAnswer: -140292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1412)\/(-6) + (-58)\/(-87). Suppose 4*m = 2*m - 2*i + 492, -4*i = -m + k. Calculate the remainder when m is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*m = -18, 3*a + 2*a + 2*m + 26 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*x - 3\/7*x**3 - 30\/7*x**2 + 0 = 0. Calculate x.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 3. Let c(h) = -3*h**2 + 3. Let u = -1206 + 1211. What is u*f(i) - 4*c(i)?\nAnswer: 2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 1540*r**2 - 71708*r - 70172.\nAnswer: -4*(r + 1)*(r + 53)*(r + 331)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*x**3 + 2*o**3*x**2 + 6*o**3*x - 19*o**3 + 4422*o*x**3 - 14*o*x - 2*x**3 wrt x.\nAnswer: 6*o**3 + 26532*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 10*j**2 + 11*j - 13. What is the remainder when 23 is divided by w(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 392388.9016 and 1.9.\nAnswer: 392390.8016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -309, -1157, -2817, -5559?\n\"Answer: -45*b**3 - b**2 + 12*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w**2 + w - 16. Let x(z) = -43 + 2*z**2 + 5*z**3 - 3*z**3 + 50. Let l be x(0). Calculate the lowest common multiple of h(l) and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -379.0071 - -0.0071. Let a = -378.378 - g. What is a rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 54. Suppose 0 = 3*i + 9*f - 14*f - 204, 6*f = 4*i - 276. Let m = i - w. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 61258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(336)\/(sqrt(36)\/sqrt(3))*2*2*-5.\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from oyyzyzyzzzp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4592888 is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5271740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(425) + -1 + -4)*1)**2.\nAnswer: -70*sqrt(17) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/76 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 49 times 0.0119\nAnswer: 0.5831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2 + 4\/2). Suppose -x*z = z - 75. Suppose -8 - 8 = -4*w. Solve -f - w*f = -z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3\/2 + 5769*d**2 - 194865*d\/2 - 792603 = 0.\nAnswer: -6, 23, 3829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.8 or -0.7?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 22. Suppose t = -2*m + 11 - 1. Solve -7*v**4 + 0 - 2 + 5*v**3 + 9*v**2 - m*v + 0*v**2 = 0 for v.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*l**2 + 193*l**2 - 95*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1690313 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z**2 + 0*z**2 - 13*z**2)*(2*z**2 + 4*z**2 - 5*z**2).\nAnswer: -29*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20626500 = -215*b + 20621770 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(204)\/(1*sqrt(12)) - (sqrt(833) + 1).\nAnswer: -7*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 1354*u**2 - 2694*u - 4050.\nAnswer: -2*(u - 675)*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 8 = -2*x. Do 10 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**2 - s**2)*(-s - 2*s + 2*s) + (0*s + 7*s + 7*s)*(-3*s**3 + 2*s**3 + 3*s**3).\nAnswer: 30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*a = 20, 2*a + 19 = 3*n + 4. Suppose 0 = -n*s + 9 + 6. Suppose 5*w - 2*l - 13 = 0, -w + 4 = -2*l + s. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 238.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.6339 - -199003.2?\nAnswer: 199870.8339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 3. Let n be g(-3). Suppose -14 = -3*r + m - 2*m, 3*r = -n*m + 6. Find the third derivative of -v**2 - v**4 + 6 - r wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32666820155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10*d*d**(-8)*(d**10*d)\/d*(d**0\/d)\/d assuming d is positive.\nAnswer: d**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127835 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1584 and 113\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66312 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1444*u - 21*u + 2081*u - 5286*u - 6540*u as o*u + p and give o.\nAnswer: -11210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 55, 113, 195, 301?\n\"Answer: 12*j**2 - 2*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 376 = 5*c, -5*p - 163 - 207 = 88*c - 93*c for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-2\/7)))**(2\/31)*(o\/o**(-5\/4)*o)\/o*o*(o**(1\/6)\/o)\/o*o assuming o is positive.\nAnswer: o**(6245\/2604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 534a - 237?\nAnswer: 5113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (13 - 0 - 15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -16. Suppose k - 4*c = h, 5*k + 4*c = 3*c + 9. Suppose -k*y = 20 - 240. What are the prime factors of y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3000 - -4111?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)*i*i)**(2\/5))**(-20)*((i**(2\/5)*i*i)\/(i**(5\/2)\/i))**33 assuming i is positive.\nAnswer: i**(251\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2.09, -1 in decreasing order.\nAnswer: -1, -2.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z + 171585 = 109*z. List the prime factors of z.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 283518 or -111?\nAnswer: 283518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3938*y = 1153*y - 6801*y - 76950 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let l be (m\/(-20))\/(2\/(-4)). What is the third biggest value in -1, l, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 10. Give q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.982 - -0.018. Let d(u) = 5*u + 3. Let h be d(3). Let z be 4\/h + (-34)\/(-90). Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84310262 rounded to the nearest one million?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -226*j**2 + 32*j. Let y(b) = -114*b**2 + 21*b. What is 3*p(f) - 5*y(f)?\nAnswer: -108*f**2 - 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -7.6886.\nAnswer: -15.3772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 9 - 105\/(-3). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = -3*k, 0 = -4*k - k - 4*y - 9. Is k smaller than 3\/118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*m + 2*z - 4, -m = 3*z - 12. Let n(w) = m*w + w - 3*w. Let y(l) = 2*l. Let g(j) = -2*j. Let u(r) = -3*g(r) - 2*y(r). Determine u(n(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*i + 9*i**3 + 155*i + 8*i**3 + 5*i**3 + i**2 wrt i?\nAnswer: 132*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 989, 2227, 3961, 6191?\nAnswer: 8917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6051 + -6025.29. Let w = -0.29 - q. Let s = w + 27. Which is the nearest to -5? (a) -3\/4 (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5035903 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a8 (base 13) in base 5?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqjqqqqpqpqrpnp. What is prob of sequence npqq?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.35 times 1762288?\nAnswer: -4141376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhxhhxxxxlxxhxxhxhx. What is prob of picking 1 l and 1 h?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2474060, 2474077, 2474094, 2474111, 2474128, 2474145?\n\"Answer: 17*o + 2474043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204906 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-109867)\/36420 + 6\/2)\/((-8)\/10)\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 15324*l**2\/7 + 58736880*l\/7 + 234702400\/7.\nAnswer: (l + 4)*(l + 7660)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 + 2*b + 2. Let o(l) = -9*l**2 - 5*l - 5. Let s(m) = -4*o(m) - 10*u(m). Let g(k) = k**2. What is s(g(n))?\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -2, 129, 2247 in decreasing order.\nAnswer: 2247, 129, 4, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 124. Let c = -11780 + 11779.5. What is the second smallest value in -1\/5, q, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.26 + 0.16. Which is greater: -39 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-1190)\/(-75) - (-2)\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4164.605 centuries to decades.\nAnswer: 41646.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 3, h: 2, g: 5, b: 2}. What is prob of picking 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (77\/28)\/((-2)\/(-16)). Suppose 5*j - 41 = d, 5*j + 2*d - i = 2*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129146 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: Let o(c) = -2*c**2 + 53*c + 542. What is o(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 3*n**2\/2 - 2*n + 14. Let d be m(4). List the prime factors of 62\/d + (-3 - (-56)\/20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 7*u + 29. Let o be v(-10). Let r(x) = -7*x - 2. What is r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 1, h: 1, w: 1, p: 1, z: 2}. Give prob of sequence gp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70127.49l?\nAnswer: 70127490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -935, -1419, -1919, -2441?\nAnswer: -2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (-52 - (-15 - -29))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351.528 + -352. Let v = w + 1.472. Which is the smallest value? (a) -25 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.184885 rounded to one dp?\nAnswer: 33.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 96 - 46 - 42 + 275*v**2 - 8*v. What is the tens digit of q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 38*j - 181. Calculate q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -530814 + 3715714\/7. Let k be ((-2)\/(-6))\/((-12)\/(-9)). Which is the nearest to -2\/5? (a) -5 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -45. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 8.95. Let u = 15 + v. Let t = -5 + u. Which is the second biggest value? (a) 3 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.014209 - -0.01445323. Round o to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 51 (c) -2 (d) 20 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 160172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 301532*k - 3. Give j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12597 and 391476?\nAnswer: 5089188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 2937.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2375, 0.04, 3 in descending order.\nAnswer: 3, 0.04, -3, -4, -2375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3060 by -204.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + u + 12 - 2 - 2*u.\nAnswer: u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 9, 1\/7, 0.5, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p = 15. Let s(k) = k**3 - 2. Let f(y) = -y**3 - 9*y**2 - 8*y. Let z be f(-8). Let b be s(z). Sort b, p, 1 in ascending order.\nAnswer: b, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162655552 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/126 + (-12)\/(-54). Let t = -2 + 2.08. Let q = t + 4.92. Which is the biggest value? (a) q (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -125305, -253213, -381123, -509035, -636949?\n\"Answer: -f**2 - 127905*f + 2601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18)*((i**(-20)*i)\/i)\/i*i*i*i**(2\/15)*i**1)**(3\/10) assuming i is positive.\nAnswer: i**(-269\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 6*l + 3 - 4. Suppose 0 = -w - 3*d + 7, w - 2*w + d = -3. Is p(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 141 = -21*s. Let g(x) = -x. Let u(o) = 2*o. Let i(y) = s*u(y) - 11*g(y). Let a(k) = -108*k**2. Calculate a(i(v)).\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25678, 102734, 231178, 411022, 642278, 924958, 1259074, 1644638?\nAnswer: 2081662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -107. Suppose -2*p - 10 = 6. Let j(f) = -f**2 + 2*f + 2. Let h(s) = -3*s**2 + 5*s + 6. Give k*h(v) + p*j(v).\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/17 (b) -2\/7 (c) 1 (d) -0.275 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-2 + 0)) + (-2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67297 or -4?\nAnswer: -67297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39.648719 and -0.2.\nAnswer: 39.448719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1700 and 1445.\nAnswer: 28900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 159. Let s be (0 + 2\/(-4))\/(7\/(-742)). Suppose -c + x + s = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3)*(4*w**3 - 2*w**3 + 0*w**3) + 0*w**3 - 2*w**3 + 0*w**3 + 159*w**3 + 1991 - 1991 to n*w**3 + o + r*w + v*w**2 and give n.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -171*w**2 - 269*w. Give f(-2).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11735 is divided by 3905.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 - 35*w**3 - 15975*w**2 - 392445*w - 2296350 = 0 for w.\nAnswer: -27, -9, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -477 and 4849.3.\nAnswer: -2313116.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -174*u - 8. Let x(s) = -1112*s. Give q(x(h)).\nAnswer: 193488*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + p = 4 - 0, 3*v + 5*p + 4 = 0. Let k(x) = x**3 - 4*x**2 - 2*x + 6. Let w = 10 - 6. Let t be k(w). Sort t, 5, v in decreasing order.\nAnswer: 5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/73062 and 83\/89694.\nAnswer: 11032362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2996 - 1856. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 2532.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2. Let k(j) = 4*j**2 - j - 1. Let o be k(-1). Let v be o + (3 + -2)\/1. Let z(a) = -5*a + v*a + 3*a - 5*a. Give z(f(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -35198.\nAnswer: -5\/35198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 341*b*m - 12002*b + 2*m**4 - 2*m**3 wrt m.\nAnswer: 341*b + 8*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - (20 + (-15 - (50 - 57)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13)*1*3)**2.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -400, -14759, -4 in decreasing order.\nAnswer: -2, -4, -400, -14759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016823726 to five dps.\nAnswer: 0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = 12, 5*f = 3*d + 102. Let -12*p**4 + f*p**4 - p**5 + 0*p**5 - 14*p**4 - 16*p**3 = 0. What is p?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/8)\/(1\/(-4)). Let i(c) = c**2 - 24*c + 15. Let q be i(s). Let p = q - -139. What is the smallest common multiple of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5364*p - 434468. Determine n(-81).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 + 17*o - 12. Calculate g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**6 + 15*u**3 - 204*u**2 wrt u?\nAnswer: 720*u**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3384672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/23)\/((g*(g*g\/g**(-1\/22)*g)\/g)\/g))**(-24)*((((g*g*g**(-1\/10))\/g)\/g)\/g**13)**(1\/45) assuming g is positive.\nAnswer: g**(5793457\/113850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 39. Suppose 4*p = -i*p + 10440. Round p to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r)**19*(r\/r**(-3\/4))\/((r**(4\/5)*r)\/r) assuming r is positive.\nAnswer: r**(-1501\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 69 + 9 = 0. Let r be 2 + (-16)\/i*-3. Let y(m) = -m**3 + 1. Let x(j) = -2. Give r*y(n) - x(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(-5 + 3). Let t(g) = -2*g**3 - 1. Calculate t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 958 = -958. Let p = 9 - -16. Sort v, 5, -2, p in descending order.\nAnswer: p, 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 2*o**3 + 1 - 26 + 4 + 14 to x*o**2 + y + s*o + j*o**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1)\/(2\/(-12)). Suppose l - 7 = 2*j, l - 2*j + v*j = 7. Differentiate l + c**4 - 1 - 4 with respect to c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 + (2 - -2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/2 - 433*f**4\/2 + 17109*f**3\/2 + 3025*f**2\/2 - 58607*f - 51348 = 0. What is f?\nAnswer: -2, -1, 3, 44, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4319.\nAnswer: 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/180 + (2 - (1 - -1))\/1. Put w, -0.1, 1, -39 in ascending order.\nAnswer: -39, -0.1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 7 + 1241*o + 1 - 1242*o + 9 + 7.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135715*n - 134563*n - 3 + 5)*(-n**4 - n**4 + 4*n**4).\nAnswer: 2304*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(17\/5)\/y*y*y**(1\/40)*(y*(y\/(y\/(y*y*(y**(-1\/19)\/y*y)\/y)))\/y)\/((y*y\/y**(1\/33))\/y) assuming y is positive.\nAnswer: y**(85339\/25080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 7 - 794*z + 22 as b + x*z and give x.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g - 348 = -48*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 9*j**2 - 9*j + 10. Let f be x(8). Suppose 2*m + f*m - 28 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 214 - 277 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 7*y + 22. What is g(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 4\/3, 0.4.\nAnswer: -0.21, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 + 8814*d**2 + 21375880*d\/3.\nAnswer: 2*d*(d + 865)*(d + 12356)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.059 - 0.041. Let w = -7.78 - -0.71. Let x = 0.07 + w. What is the closest to k in 0, -5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(4123\/248)*1\/(-4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43, 86, 115, 124, 107, 58?\n\"Answer: -b**3 - b**2 + 53*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*h - 52 + 10, -5*h + 77 - 66 = 4*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 5. Suppose 2 = -s - 5*q, -2*q - 3 = -5*s - 13. Sort z, 3, s.\nAnswer: z, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 5*n**2 - 9*n + 25. Let k be l(4). Let f = k + 64. Solve 0 = -4*g + 11 + f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.11 - 31. Let t = -6551 + 6551.71. Let o = t - g. Which is the closest to o? (a) -1\/6 (b) -0.5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7 = -4*m, 5*j - 2*m = -7 + 26. Suppose q - j = 1. Suppose -3*i - q*v = -263, i + i + 5*v = 166. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smww. What is prob of sequence wmw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 4, o: 1, h: 3, n: 2}. What is prob of sequence nxo?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7107 divided by -309\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - 1) + 3 + -90 + 60.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5*a - 29, 12742*a = 4*p + 12774*a for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 20*x + 66 - 2 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 7) to base 6\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1113 and 9699?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3741 and 1859567.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + 1110001111?\nAnswer: 1110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4\/3 + 621*h**3 + 12532*h**2 + 120512*h\/3 = 0.\nAnswer: -16, -4, 0, 1883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 34. Let b be a(-20). Suppose -2325 = -b*i - 17*i. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*y - 103*y - j + 89 = 0, 0 = 5*y - j - 91. Calculate the remainder when 538 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -234469, 0, -2, 2, -5 in ascending order.\nAnswer: -234469, -5, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60081.96 centimeters in micrometers?\nAnswer: 600819600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -361291?\nAnswer: -361286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2*600\/(-10000).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -3*10\/(-6). Let g = 4 - h. Let a be (11 - (-138)\/(-18))\/((-8)\/12). Sort 3, a, g, 5 in decreasing order.\nAnswer: 5, 3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - (2\/4)\/((-4)\/112)) + -5. Solve 0*v - 3*j + 15 = t*v, -v = -5*j + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(24)\/sqrt(3)) + -2 - sqrt(28)\/(sqrt(512)\/sqrt(8)).\nAnswer: -2 + 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 - 4093\/15. Let p = -139\/30 + s. Which is bigger: p or -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2430\/119 - -352\/17. Let l be 0\/((-2)\/(2\/(-1))). Solve 6\/7*w**2 + l + 4\/7*w + n*w**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134\/3 at least -32.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2208894377 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9008 is divided by 249.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -109357 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47000 by -97.\nAnswer: 47000\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.05 + 109.05. Let p = 108 - x. Which is the closest to p? (a) -3\/5 (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56504 times -0.27?\nAnswer: -15256.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**4 + 35*j**3 + 57*j**2 - 145*j - 274. Let q(v) = -v**4 - v**2 - v - 2. Let u(c) = -b(c) + 5*q(c). Factor u(n).\nAnswer: -(n - 2)*(n + 2)**2*(n + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 144*y**2 + 1535*y + 641. Give x(154).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3419365298?\nAnswer: 2, 1709682649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 4, 37, -10.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*u + 1, -59*o + 4 = -63*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2412 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1224 by -408.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -5*y**6\/2 - 16*y**5 - 40*y**4 - 50*y**3 - 65*y**2\/2 - 10*y - 82. Let h(f) = 0. What is f?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 41. Let m = 16 + 26. Let l = y + m. Solve -z = -l - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-1*5 - ((sqrt(26)\/sqrt(2))**2 + -5).\nAnswer: -5*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 - 19600*g - 48020000 = 0. What is g?\nAnswer: -4900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + -1 + (sqrt(28)\/(sqrt(32)\/sqrt(2)))**2 + -4.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*x - 563 + 357 + 352 - 146.\nAnswer: 224*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1797 and 1803 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, 0, 4, 0.34, 11.5, 0.5?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135454 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/90)\/(5\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21079?\nAnswer: 107, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 12) to base 2\nAnswer: -101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*h + 27, -3*h + 4*h + 1 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33975 or 33979?\nAnswer: 33975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19848 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 30724342.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1450347 and -0.2.\nAnswer: 290069.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2457, 5216, 7975, 10734, 13493, 16252?\n\"Answer: 2759*k - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 17*j**2 - 85*j + 25. Let y be q(21). Differentiate -37 - 60*l**4 - 87*l**y + 39*l**4 with respect to l.\nAnswer: -432*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.4 from 519.847.\nAnswer: 509.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**2\/2 - 3*k + 7. Let q(m) = -3*m + 9. Let s(x) = 4*q(x) + 11*y(x). Suppose 2*u + u - 15 = 0. Calculate s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f**2 + 0*f**3 + 2 + 0*f**3 - 18*f + f**3 - 4*f**2. Let k be i(18). Suppose 5 + 1 = k*h. Let v(b) = -5*b + 3. Determine v(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26 + -4 - 6\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 4*a + 0*a + 2*a**2 + 5 + 6*a. Let u be v(10). Solve y - m = 4, -y + m = -u*y - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - i - i)*(i - i - i**3) + 2 - 2*i**4 - 2 - 4187 + 4187 + 491*i**4 to s + z*i**3 + a*i**4 + y*i + b*i**2 and give a.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 37, 29, -3 in ascending order.\nAnswer: -3, 5, 29, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45772 + -8605113\/188. Let i = 6\/47 + w. Is i greater than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 18 = -5*a - r, r = -3*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 232.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - ((-4150)\/(-249) + 38)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 6*d**2 - 417*d + 3995. Let s be a(9). Let q(p) = -p**3 - 4*p**2 + 5*p + 5. Let n be q(-5). Sort -2, s, n.\nAnswer: -2, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133.3757 - -133.28. Round t to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -101, -178, -239, -278, -289, -266, -203?\n\"Answer: m**3 + 2*m**2 - 90*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -325? (a) -19 (b) -0.2 (c) -1 (d) -11 (e) 0.8 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*u**4 + 4921*f*u - 7*f + 40 wrt u.\nAnswer: -8*f*u**3 + 4921*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450 by 45.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14251\/39 + -4746\/13. Let g = -3 + 1. What is the nearest to g in -2\/3, i, -2\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8172390200 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-1))\/(-2)*(-5)\/(-20). What is the nearest to -0.2 in o, -0.3, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*q + 35, -4*q + 7 + 18 = r. Suppose 0 = -4*m + c + 3, 5 = -4*m + r*c - 12. Solve -3*s + m*g = -5, 0*g + 20 = 3*s + g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) 0 (b) 2 (c) -0.2315 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(24) - (sqrt(120)\/(-3*sqrt(5)) + sqrt(24)))\/(3*sqrt(12)*5 + sqrt(12) + sqrt(12) + sqrt(24)\/(sqrt(10)\/sqrt(5))).\nAnswer: 26*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*r - 32*r - 58*r = 56 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/7 + 4*r**4\/7 + 16*r**3\/7 = 0. What is r?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b**3 - 1 + 9 - 10 to t*b + v + a*b**3 + c*b**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v - 8*v + 29*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1079 - -1569. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 3\/4, 1, -6\/19, 3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 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: What is prob of sequence aat when three letters picked without replacement from {c: 4, t: 3, r: 2, a: 2, o: 1, p: 8}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25194891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -688 + 1294. What is the common denominator of 0 + (-1)\/(12\/226) and (-2)\/(-720)*p - 1\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3794, 3791, 3780, 3755, 3710, 3639, 3536?\nAnswer: 3395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**2 + 8. Let u be j(-4). Let m = u + 490. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -82, -163, -234, -289, -322, -327, -298?\n\"Answer: s**3 - s**2 - 85*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s + 10. Let w be -4 + (-5482)\/(6\/s). Suppose z + w - 137 = 0. What is z rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-6)\/36)\/(22\/(-24)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1444?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(56)\/sqrt(2))\/sqrt(7) + sqrt(4))\/(sqrt(72)*5).\nAnswer: sqrt(2)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 27*f**2 + 16357*f - 49105. Calculate p(3).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.65 and -57743865.166.\nAnswer: -57743855.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156.7992619 + -156.8. Round o to five dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27140*-1113\nAnswer: -30206820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 437412660 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 535168 and 4736?\nAnswer: 535168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47657937?\nAnswer: 3, 211, 75289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 2*x - 3*x + x + 25*x**3 + 2*x.\nAnswer: 25*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let x be (14\/(-4))\/((-2)\/12). Let u be x\/12 - 2\/(-8). Let z(l) = 2*l - u*l + 4*l**2. Give z(s(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccce when four letters picked without replacement from ccccececccceccc?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -765784.3 - -4?\nAnswer: -765780.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5158623, 5158632, 5158655, 5158692, 5158743, 5158808?\nAnswer: 5158887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u**2 + 2*u. Let s be q(2). Let f be -2 + 1 + (5 - 0). Suppose f*i = s - 12. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (6 - 1) + 3*4780. Suppose -5*q + 226658 + r = 0. Round q to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:18 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 less than -11.525?\nAnswer: -757.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:11 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 8*q = -3*t, 8 = -2*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*x + 985 = -955 - 430 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a0 (base 11) in base 14?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let l = -12 - -20. Let x(y) = -l + 3*y + 0*y - 2*y. Calculate x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177 + -113. Let o = s + -63.99949. What is o rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roo when three letters picked without replacement from cfogrfgoff.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 359674?\nAnswer: 359674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -922*k - 3*k**2 + k**2 - 4*k**2 + 1052*k + k**2.\nAnswer: -5*k*(k - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-149 - -392 - 147) + -236.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2.3 (b) -2\/5 (c) 0.18 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -389 + 396. Sort o, 2, -5, -4 in descending order.\nAnswer: o, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194684836 to the nearest integer?\nAnswer: 13953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:20 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20*(-4)\/64)\/((-1)\/2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 30*r**2 + 31*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1877*f**2 + 8*f - 79. Is k(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/5)\/((-120)\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1310 + -1310 - (-49 + (2 - 3) + 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -5, -2\/3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3320229, 3320216, 3320201, 3320184, 3320165?\nAnswer: 3320144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1387388299 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.19718 and 989.\nAnswer: -1184.01102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**3 - 5*v**2 - 8*v. Let i be a(5). Let k = -6 + i. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9977378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 11:52 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*w**3 + 154974*b**2*w**2 - 2*b**2 + b*w**3 + 2*b - 33720*w**3 wrt b?\nAnswer: 4*w**3 + 309948*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521905000 to the nearest one million.\nAnswer: -1522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 1174865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153\/2, 26\/145, 29 in decreasing order.\nAnswer: 153\/2, 29, 26\/145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 9*u + 3. Let n(f) = -6*f**2 - 26*f + 9. Let d(k) = -4*n(k) + 11*v(k). Let b(l) = -2*l**2 - 6*l + 4. Calculate 5*b(r) + 6*d(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 71093942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574976612?\nAnswer: 2, 7, 20534879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6035815, -6035817, -6035819, -6035821?\n\"Answer: -2*z - 6035813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.102 (b) 0 (c) -109 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6292462*k**2 + 1544494 wrt k.\nAnswer: 12584924*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20847 is divided by 92.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 4*m**5 + 0*m**5 + (-2 + 2 + 2*m**3)*(2*m**2 + 4*m**2 - 5*m**2) + (359*m**3 - 254*m**2 + 254*m**2)*(-4*m**2 + 4*m**2 - 3*m**2).\nAnswer: -1073*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 26. Solve -w - k = -6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*m + 134. What is the greatest common divisor of m and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mobbmuw. What is prob of picking 1 u, 1 o, 1 b, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*1 - (-1 + 3). Let k(v) = -v**3 + 6*v**2 - 5*v - 3. Let g be k(c). Does 5 divide (1 - 12\/g) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)*2 + 2*sqrt(2268))\/(sqrt(8)\/(sqrt(6)\/sqrt(3)) + -4*sqrt(64)).\nAnswer: -12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/5 and 43\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = 4*f. Let u = 128 - 125. Suppose -x = -v - u, -v = -x + v - f. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a + 46. Let o = -389 + 382. Let z be x(o). Factor -5\/4*g**z + 0 + 0*g + 0*g**2 - 5\/4*g**3.\nAnswer: -5*g**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639986017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/191 + -388\/573. Let f = 0.4 - -0.6. What is the second smallest value in f, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/6 + -10 + (-319)\/(-33). Suppose -4 = 4*p + n - 0*n, 3*p - 12 = 3*n. Sort p, 4, y, -3.\nAnswer: -3, p, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19033?\nAnswer: 7, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -13 - 7) + 26 - 102?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1056 - -656. What is the tens digit of b\/(-24) - 3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52094594 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, b: 3}. What is prob of sequence uuub?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 8*p**7\/105 + 2*p**6\/5 + 3*p**5\/5 - 9*p**2. Find n such that t(n) = 0.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 - l**2\/2 + 4*l + 1416. Let g(n) = 3*n**2 - 2*n + 9. What is -3*g(s) + 7*t(s)?\nAnswer: -2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 6. Let t be j(-8). Let w = 13 + -8. Factor -4*g**3 + 5*g**3 + 6*g**2 - w*g**t.\nAnswer: g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 7*q + 8. Let s be p(-9). Calculate the lowest common multiple of s\/(1\/1)*-1 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 1:24 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:25 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)\/(-1)*18. Let r = -5215 + 5242. What is the highest common factor of r and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5105049 to the power of 1\/2, to the nearest integer?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -5.56831.\nAnswer: -11.13662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -368 - -413. What is the highest common factor of q and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*h*q**2*z + h*q*z + 2*h*z**2 - 17*q**2*z**2 + 74*q**2*z + q**2 + 781*z**2 + 2 wrt z?\nAnswer: 4*h - 34*q**2 + 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 744\/(-33728)*12\/(-21)*(-196)\/(-105)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5902 is divided by 2939?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 17. Let y(x) = i*x + x**2 - x + 0*x - 2*x. Let u(d) = 4*d**2 + 3*d - 1. Let z be 3\/(10\/(-4) + 1). Calculate z*u(p) + 6*y(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 5*i + 1. Let t be y(-6). Let c = t + -7. Suppose 3*j = 3*o - 90, -2*o - 2*j + 42 + 34 = c. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65*1*4\/10*1. Suppose 0 = 2*d - 3*a - 59, -2*d = -a + 3*a - 44. Let x(m) = 8 - r*m + d*m + 1. Give x(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/46 and -89\/10126.\nAnswer: 232898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 5:22 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 776 and -18678.\nAnswer: -14494128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -55538846914 take away 0.06?\nAnswer: -55538846914.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -1)\/(4 - 5). Suppose -z*t + 7 + 29 = 0. What is the remainder when (10\/(-15))\/(2\/(-45)) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**2 + 32088144*c + 64353061585296 = 0.\nAnswer: -4011018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2. Let m(i) = 189521*i**2 - 2*i - 50. Determine m(j(r)).\nAnswer: 4738025*r**4 + 10*r**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/3, 0.1, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-75))\/(294\/(-105))*-35.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.38927 - 0.4069. Let b = -12.149 - -12.166. Let a = b + o. Round a to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 60 = 3*k + k, -5*a = -15. Suppose -d = d + k. Is -1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 - 3)*-4 + 41 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140185, 280367, 420549, 560731, 700913?\nAnswer: 841095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174054, 347814, 521558, 695280, 868974, 1042634?\nAnswer: 1216254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.777148 rounded to one decimal place?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4819 = -165*o + 15709 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -275011183.90000061 + 275011182. Let b = -1.9 - d. Round b to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3795 + -3776. Solve -16*h = -p*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 1035.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**7\/70 - r**6\/120 + r**5\/6 + 2*r**3\/3 - 115*r**2. Find the third derivative of c(q) wrt q.\nAnswer: -72*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669298917 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 13*h**2 + 15*h. Calculate c(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p + 43*p + 54*p + 32*p + 6*p.\nAnswer: 95*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 72 (c) 3\/7 (d) -0.1 (e) -0.046 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5 - 3. Let p be -1*1 - (-49 + v). Let h = p + -33. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 22 - (2 + 3 - 16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 64.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -86016*x**2. Let k(p) = p**2. What is k(h(v))?\nAnswer: 7398752256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 1 + 7*t + 0*t + 2*t**2 + (-1 - 5*t - 4*t - 25*t)*(11 + 7 - 14*t - 19) as m*t + p*t**2 + u and give m.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 160*b**3 - 4*b**2 + 1932*b + 4. Let t(y) = -163*y**3 + 5*y**2 - 1936*y - 5. Let h(d) = 5*j(d) + 4*t(d). What is the second derivative of h(a) wrt a?\nAnswer: 888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - 5?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -78?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034130032 to the power of 1\/2, to the nearest integer?\nAnswer: 32158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 25*t - 45. Let w be d(16). Let g = 107 - w. Suppose -10*h + 14 = -g*h. Let v(q) = -q**2 + 8*q - 5. Give v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 36*v = -168528. List the prime factors of v.\nAnswer: 2, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 20*u - 21*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -17982 at least as big as -16703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 561 - 313. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -7*l**3\/6 + 2*l**2 - l. Let b be z(-4). Let g = 15 + b. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*g = -22, 4*v + 3*g = -25 - 2. Let s be 2*5*v\/2. Calculate the common denominator of 41\/5 and 818\/60 + (-3)\/s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/7, -13, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (18\/(-4) + 5)*280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95847*g - 10*g**3 + 95847*g.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(448) + sqrt(448))*5 + sqrt(448))**2 + sqrt(448))*-6.\nAnswer: -325398 - 5328*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 3910*d + 3822025.\nAnswer: (d + 1955)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4\/4 - 777*v**3\/2 - 390*v**2 + 777*v\/2 + 1557\/4 = 0.\nAnswer: -1, 1, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-16)\/(-7) - (-30)\/(-105) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69346 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320563340?\nAnswer: 2, 5, 383, 41849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24416 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5668, -5813, -5958, -6103, -6248, -6393?\nAnswer: -6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 - 35*g**2 - 20*g + 140 = 0. What is g?\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7546645979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 2. Suppose 6*g - 30 = g. Let j(l) = 3*l - 2 - g + 7. What is -6*j(w) - 4*y(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8050, -8054, -8058, -8062, -8066, -8070?\n\"Answer: -4*j - 8046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 314\/9 - 131\/9. Let h = g + -421\/21. Let f = -3 + 3.1. Which is the closest to 0.1? (a) h (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2*z*z\/(z*z**(-2\/19)*z))\/(z\/(z\/(z\/(z*z**(-2\/3)))))**(2\/15) assuming z is positive.\nAnswer: z**(2579\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 27*o**2 - 26*o - 6. Let r be f(26). Let j be (-22)\/r*(1 + 2). Suppose 5*k = j + 69. Solve -2*t = -4*q - k, 0 = t + q - 4*q - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let o(n) = n**2 + 6*n + 4. Let f be o(-6). Find the first derivative of 45*y - f*y**i - 45*y - 5 wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - (-5 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-180))\/((-69)\/(-1863)*-9)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17070 + 307147\/18. Let s(y) = -118*y - 6. Let w be s(8). What is the common denominator of i and ((-4)\/(-10))\/((-16)\/w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100308910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*c - 10877*c + 130885*c + 31097*c.\nAnswer: 151424*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, -3.8, 0.01 in decreasing order.\nAnswer: 0.01, 0, -0.5, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10226.\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 19 = 2. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78401 is divided by 39110?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -396 - -572. Let p = y + -71. What is the greatest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 30, -226*i - 60902 = -5*t - 228*i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52261145.3 - -0.3047.\nAnswer: -52261144.9953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u + 214. Suppose -2*d = -2*f - 108, 6*d - 4*d - 3*f = u. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*j - 5*w, -5*w - 19 = -44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*k = -10 - 6, -5*k + 15 = 0. Let n = -6 + -5. Let f = c - n. Solve 2*x + 11 = -5*o, o - 5*o = 4*x + f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 + (-2584)\/(-85) - 18. Let r = 7 + -7.7. Which is the second biggest value? (a) q (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k. Suppose k = -3*x + 4*x + 9*x. Suppose x = -9*c + 5 - 68. What is c rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 d, and 1 b when four letters picked without replacement from {b: 1, d: 1, l: 3, f: 5, t: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11689*u + 11554*u - 3105 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 18982*b - 18979*b + 56929*b + 3 - 18976*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2968, -10708, -23624, -41728, -65032?\nAnswer: -93548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 + 78117*f\/2 - 39057.\nAnswer: -3*(f - 26038)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225 and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 10) in base 8?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/((-11)\/62 - -1). Let v be (699\/6 + -2)\/(-4 - -38). Let s = h + v. Find the common denominator of s and 21\/58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 - 7*f**2 + 14*f + 76. Let v(o) = 2*o**3 - o**2 + 4*o + 1. Give m(y) - 4*v(y).\nAnswer: -4*y**3 - 3*y**2 - 2*y + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167383 divided by -651.\nAnswer: -167383\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) -2\/3 (c) 0.05 (d) -0.028 (e) -16\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3*w**3)**5\/((((w\/(w*w**3)*w)\/w)\/(w*w**(-1)\/w))\/((w*w**(-1\/4))\/w**(-4))) assuming w is positive.\nAnswer: w**(167\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 + 0.08. What is the closest to 0.03 in 3, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 295, 320, 355, 400, 455?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 33*x - 362. Solve x = -f + 4*m, -5*f - 3 = -3*m + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 21. Let k be n(20). Let s = -4 + k. Let i = -11 - -6. Sort i, 5, s in ascending order.\nAnswer: i, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -13*s**2 + 0*s + 1\/9*s**3 + 23\/180*s**5 - 5 + 25\/72*s**4. Find u such that p(u) = 0.\nAnswer: -1, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1916\/23 + -5702\/69. Factor 0 + 0*k + 0*k**3 + 8\/3*k**2 - p*k**4.\nAnswer: -2*k**2*(k - 2)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/8)*h\/(h*h**24))\/(h\/(h**(-1\/42)\/h)*h*h*h*h\/(h\/h**(-5\/3))*h) assuming h is positive.\nAnswer: h**(-1567\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = -25*r - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -15. Let x(t) = -t**3 - 7*t**2 - t - 5. Let h be x(f). Let s = -104 - -106. Is h != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (663*b**3 - 82*b**3 - 147*b**3 - 35*b**3)*(-1 - 5 + 0)*(-1 - 2 + 1) in the form v*b + f*b**3 + k + z*b**2 and give f.\nAnswer: 4788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by 3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1384 = -667*y + 617 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -38, 2, 4, 19, -2 in ascending order.\nAnswer: -38, -2, -1, 2, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 255?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h + 166*h + 170*h.\nAnswer: 307*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**6\/18 + 3*n**5\/4 + 5*n**4\/18 - 70*n**3\/3 + 60*n**2 - 165*n. Determine k, given that c(k) = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112000 - -2120121102?\nAnswer: 2121010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1818*l - 910 = 1792*l. Calculate the remainder when 543 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-526)\/(-3) - -6) + (-1)\/3?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h**3 + 1875*h**2 + 429*h - 42. Give i(-144).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962945 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4085235 divided by 10395?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q + 47 + 604 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/12 + o**3\/6 - 14*o. Let h be d(2). Is (2\/h)\/(10\/20370) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1613 - -13641. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -11*r + 44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*m - 11, 2 = -5*x + m - 0. Sort 2, -8, x in ascending order.\nAnswer: -8, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/60 + h**5\/60 + h**4\/24 - 7*h**3\/6 + h**2 - 1212*h. Let o = 1 - -2. List the prime factors of u(o).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2\/2 + d - 2. Let n be g(-2). Let p be (-8)\/(-14)*12439\/117282. Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0 - 4*o + 3*o**2 - 1\/6*o**3. Let t be s(6). Let j(b) = b + 4. Calculate j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 309\/2410 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4649895 to the power of 1\/2, to the nearest integer?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*i = 4509, -4*h + 6008 = -0*h + 5*i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -280.5428098 + 280.54. Round p to five decimal places.\nAnswer: -0.00281","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*j = 42, 2*w = 19*j - 24*j - 27. Let r be (3\/w)\/((-2)\/8) - 13. Which is the third smallest value? (a) r (b) -1 (c) -1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (89 - -1 - 80)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1311*h - 74*h**4 + 1315*h - 8*h**2 - 2624*h as p*h**3 + k*h**2 + d*h + j + s*h**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2\/5659, -2, -0.04, 6\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235 + -235. Suppose -19*c + 77 + 398 = j. Solve -2*w - 2 + 12 = -s, 3*s - c = -5*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/24 and 97\/1008.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26435304 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/10 + 17*z**3\/6 - 5*z**2. Find the first derivative of u(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**14)\/n*n*n**(-7)\/n)**(-2)*(n**(-1\/2))**(-13)*n\/(n**(1\/14)*n)*n**0\/n assuming n is positive.\nAnswer: n**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 11 - 3. Suppose -u*l + 8160020 = -4*n, 20 = -2*n - 2*n. Suppose 0 = -a + 5*a + l. What is a rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461547 is divided by 74592?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4360 - -18350. Let a = l - 22709.54977. Let t = a - 0.45. What is t rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 0 - 4*-1. Let i be (-2)\/5 + 2\/a. Let p = -11 - -10.7. What is the closest to 0 in -3, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from glwaaia?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**3 + 14*c**4 + 0 - 64\/3*c**2 + 16\/3*c**5 + 8*c = 0. Calculate c.\nAnswer: -2, 0, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -10. Let u = 4 + b. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -364 - 224.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o + 14. Let u = -26 + 30. Let y be 130\/u + (-9)\/6. Let v = -20 + y. Let i(k) = 3*k - 5. Determine v*i(h) + 4*t(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 13*a + 2*a. Sort 2, a, 4.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 428446553.\nAnswer: -428446552.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) - 1*-6. Let c be (-6 + (-45)\/(-6))*8\/(-3). Let x = c + l. Solve 0 = -r - 2*r - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234336 = 43*h + 5*h. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**3 + 3*n**2 - 3*n + 1. Let b(z) = -14*z**3 + 8*z**2 - 8*z + 3. Calculate 3*b(s) - 8*g(s).\nAnswer: -2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9)*j)\/j*j*(j*j\/(j**10*j))\/j)\/(j*j**(-1\/7)*(j**(-3)*j)\/j) assuming j is positive.\nAnswer: j**(-446\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30519859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-18693)\/1742 + (9 - 16)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483494 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*n - 13. What is the remainder when ((-9072)\/(-120))\/(18\/60) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3)\/(((-8)\/6)\/(54\/81))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 54.1499 and 0.002.\nAnswer: 54.1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1008*q**2 - 370949*q + 1849. Calculate i(368).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yycymymycmymcymmci?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -53. Solve 0*w = -4*w + j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 24, 93, 220, 423, 720, 1129?\n\"Answer: 3*x**3 + 2*x**2 + 2*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 1181?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-28) - 49300\/35. Let u = 3460 + x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -374 + 423. Calculate the highest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 9*d**2 - 14*d + 1. Let t be c(-7). Suppose -a + t = 0, -h + 111 = 4*a - 16. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.64 + -0.94. Which is the smallest value? (a) -66 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/3443 + 10349\/13772. Suppose -8*g = -9*g - 91. Which is the second smallest value? (a) u (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 + 3409 = -5*x. Let i = -198 - x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 86*x - 101*x. Let r be (6*3\/(-224))\/((-12)\/x). Which is greater: 2\/9 or r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 + 12?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/7)\/((x**(2\/3)*x*x)\/x)*x**(-5)*(x\/(x*x\/(x*x**(3\/10))*x))\/x assuming x is positive.\nAnswer: x**(-1727\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**7\/147 - 2*d**6\/105 - d**5\/35 + 2*d**4\/21 + d**3\/21 - 2*d**2\/7 - 2*d. Suppose z(b) = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725477 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**2 - 6. Let r(t) = -3*t**2 + 2. Let a(x) = -x - 13. Let d be a(-9). What is d*u(c) - 11*r(c)?\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -312.8 + 313. Let q = 50.4 - 43. Let p = 1.4 - q. Which is the third smallest value? (a) -0.3 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - 5. Let t = x - -55. Solve -p + 2 - 3 = k, k - t*p = 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 17, g: 1}. What is prob of sequence aag?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -135948*v. Let p(c) = 388*c. Give t(p(b)).\nAnswer: -52747824*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193 and 552173?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 488 - 351. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.2 - 8. Let o = d - -0.3. What is the second smallest value in 0.4, o, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 11*k = 45. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62 + 131?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:57 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -6*z**4 - 54*z + 1\/63*z**7 - 39*z**3 + 8\/45*z**6 + 1\/5*z**5 - 108*z**2 + 0. Factor o(s).\nAnswer: 2*(s - 4)*(s + 3)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171 or -172?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10 = v + 4*o, o = 5*v - 11. What is the greatest common factor of 64 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 17958\/2117)\/(11\/319).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s + 7. List the prime factors of x(4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0, 2, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = t + 38 + 26, 0 = 3*i - 4*t - 52. Calculate the remainder when 20 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/895 less than or equal to -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/99 - 218\/(-11). Suppose 3*h - 2 = -c. What is the hundreds digit of (9\/(-3))\/((h\/(-82))\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 56*c**3 - 2*c - 8*c**3.\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 + 1)*(3*y**2 - 2*y**2 + y**2) - y**2 + 0*y**2 + 2*y**2 to the form j*y + q + v*y**2 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 4*o**2 - 4*o**2)*(0*o + 0*o - 2*o)*(7 - 3 + 1).\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {y: 1, k: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -538*r**3 - 289*r**2 wrt r.\nAnswer: -3228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 2*y + 15. Let i be f(-7). Let c be 4 + 168\/i + 4. Let z = 11 - 7. Sort -0.3, z, c.\nAnswer: c, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - -1)*(-3)\/6. Let o(i) = i**2 + 6*i - 6. Let f be o(c). Solve q - y = -2 - f, -y + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let n(q) = 1144*q**2. Give n(o(h)).\nAnswer: 1144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, 4*f = -2*m + 2*f + 4. Suppose k - 1 = -m*c - 2, 0 = 2*k + c - 10. Is 1\/(-3)*-3*k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -13. Let v be q + 504410\/44 - 3. Let r = 11464 - v. Calculate the common denominator of -59\/12 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y + 19. Let c be k(-5). Suppose -2*n - c + 52 = 0. Calculate the common denominator of -107\/10 and -1 + (-78)\/n + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 - 232*h - 23. Let v(f) = -f**2 - f - 8. Give -t(k) + 4*v(k).\nAnswer: 2*k**2 + 228*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44518 bigger than 44517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, -46212, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152226761, -304453520, -456680279, -608907038?\n\"Answer: -152226759*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 3:07 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in 1\/3, -22275, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + n - 345 = -k, -3*k + 5*n - 514 = 0. Let u = k - -357. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(77)\/sqrt(252))*6.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -25 + 10. Solve -y*c = c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/24 + x**3\/6 + 2*x**2. Let a(c) = c**3 - 3*c**2 - 2*c + 2. What is the remainder when a(4) is divided by k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/185, 4, -3\/7, -0.16 in descending order.\nAnswer: 4, 0.3, 2\/185, -0.16, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443 - -2303?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9372 greater than or equal to 9373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 - -0.57. Let b = -7 - -3. What is the smallest value in p, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -4 (b) -0.3 (c) -72\/277 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12077.\nAnswer: 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 141 + 75 - 7*c.\nAnswer: -7*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8722 (b) -3\/2 (c) -0.452\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00189775 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, 3, 0.1, 0.5, 894500?\nAnswer: 894500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*l + 5042 = -7030 - 9258 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 958877078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*p**2 - 5*p - 121*p**2 - 13*p**3 - 5*p**3 - 6*p**3.\nAnswer: -24*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 - 304*u + 13*u**3 + 11*u**3 + 302*u - 6*u**3 - 30*u**3.\nAnswer: -6*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.33794 nanometers?\nAnswer: 0.000000933794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -19. Suppose s*u = 3*u - 78. Suppose 0 = 3*w - u - 67. Calculate the remainder when 59 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*x = 4*x - 48, 4*x - 38 = -2*v. Let f = -9 + v. Suppose -2*u = -a - 88, -u + 54 - 4 = -f*a. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 7.9. Let h = p - 6. What is the smallest value in h, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13721\/12803 + -1\/3658. What is the common denominator of r and 67\/114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 12.3. Let v = 2.3 + z. Let x = -6 - -6.1. Is x at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 732, 1.4, -117?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 63 + 40 = 2*j, 2*j - 3*i - 107 = 0. Let g = 0 + 0. Suppose g = -0*w - 2*w + 36. Calculate the remainder when j is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 27*c - 38. What is p(26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*m - 3020 + 745, -4*b + 1838 = 5*m. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 0*j - 4*j**2 - 3 + 0 - 6*j - j**3 - 2 + 5*j. Suppose 4*r + 3*q + 36 = 0, -q + 28 = -4*r - 2*q. Let a be (9\/r)\/(12\/32). Calculate s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*w**6 - 22*w**5 + 83*w**3 + 5767149*w**2 + w.\nAnswer: -840*w**3 - 1320*w**2 + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*m + 1337 = 179 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -3, -656 in descending order.\nAnswer: -3, -28, -656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 52311 - 52293 = 0. Solve 2 = -o + p*s, -3*o + 0*s - 3 = -3*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 50*h**2 + 1. Let s be z(-1). Let l = s + -37. What is the second derivative of 17*n**3 + 23*n + l*n - 36*n + 5*n**3 wrt n?\nAnswer: 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -2 (c) -1\/23389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 - 316 + 956 - 317 - 323.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7390 divided by 5.\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1356 (base 16) to base 3.\nAnswer: -20210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/4125?\nAnswer: 1\/4125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -8, -20, -36, -56, -80, -108?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12*d - 5. What is v(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, 4, -408?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 3\/3*-10. Suppose 0 = -j*m - 53 + 161. Suppose -d = d - 20. What is the least common multiple of d and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3195 by -639.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 39*u + 28. Let q = -183 + 182. Let n(h) = -3*h - 1. Let x(g) = q*p(g) + 3*n(g). Differentiate x(f) with respect to f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -0*n. Suppose -5*r + n + 10 = 0. Solve 2*s - 3 = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -19. Suppose m = -3*t - 8 + 14. Solve -3*x + t = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 192*b**2 - 218*b - 390. Let y be a(148). Round y to the nearest ten thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z - 3*y = -64, -y = 5*z - 58. Solve -9 = 5*c + z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87273731 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -231670 divided by -23167?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.08 bigger than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1810 - -7484?\nAnswer: 5574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/61 in 0.4, 801\/7, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 - v**2 - v + 1. Let y be (-18)\/(-10) - (-1)\/5. Suppose -4*f + 10 = -3*w, -y*f + 25 = 4*w + 9. Suppose -w*x = -4 + 2. Give g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*t**3 - 109*t**3 + 49*t**3.\nAnswer: -105*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 297218704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 2954035.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 4. Let y be k(-4). Suppose 2*p - 4 = -y*p. Let m = 0 + p. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*(1 + -21). Suppose -21*d - 50 = 22*d - 53*d. Solve -2*m + a = -q - 3*q, 5 = -d*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 - 101?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9363*f - f**3 + 68482*f - 1332*f.\nAnswer: -f**3 + 76513*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3008*36.\nAnswer: -10.8288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864686176.\nAnswer: 2, 13, 31, 299681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*g - 784, -8*g + 11*g = 3*j + 1170. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*r = -83, -4*r - 7 - 7 = -2*m. Suppose -m*q - 30 = -21*q. Suppose 234 = 14*k - q*k. What is the remainder when 154 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 11*t**2 - 8*t + 14*t in the form j*t**2 + c + m*t and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2866 is divided by 482.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0620421 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4491 and -99.\nAnswer: -444609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20406*f*o**2 + 940*f*o + 99938286*f wrt o?\nAnswer: 40812*f*o + 940*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 - 32*q - 69. Let h be r(8). Sort 3, 1421, h in ascending order.\nAnswer: h, 3, 1421","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3157 or 3175?\nAnswer: 3175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 5*m - 6. Let u be y(-4). Let v be (1655\/(-830) - -2)*-2. Let p = 91\/664 + v. What is the second smallest value in u, -3, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.0299231 + 7?\nAnswer: -14.0299231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 32. Let n = -23 + y. What are the prime factors of n - (4 + -37 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1414 + 1518. Calculate the smallest common multiple of 130 and w.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 24 = 15*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115*h = 1102*h + 676 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -1.2. Which is smaller: 18 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7543 + 7542.8. What is the nearest to 0.1 in g, 2, 675?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + -202210?\nAnswer: -200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w + 0 + 3 = 3. Solve -32*l + 28*l + 20 = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 70.1 - 70. What is the biggest value in -3, y, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -10. Let u = o + 10. Sort -0.16, -4, u in descending order.\nAnswer: -0.16, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.175455388 - 2.1755. What is h rounded to 7 dps?\nAnswer: -0.0000446","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 2*g**2 + g**2 + 4*g**2 + 0*g**2 + 1 - 1 + g**2 + 0*g**2 + 4*g**2 - 3*g**2 + (-1 + 4*g + 1)*(-g + 6*g - 4*g))*(-2*g + g**2 + 2*g).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 43833380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 46, 7, 30, 0, -2 in ascending order.\nAnswer: -3, -2, 0, 7, 30, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x = -66*x + 1259. What is the remainder when x is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 106.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -4460309.\nAnswer: 35682472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 449\/4 and -275 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 16152 = -3*c, -4*h - 5*c + 32298 = -10*c. List the prime factors of h.\nAnswer: 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449628*b - 449600*b + 783 - 139 = 0 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4966984441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 9*w**3 + 0*w**3 + 12*w - 7*w**3 - 1 in the form h*w + j*w**2 + o + g*w**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/(((-468)\/975)\/((-18)\/20)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35417 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385260883.\nAnswer: 7, 107, 197, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Suppose g*y - y = 729. Suppose -3*s - 727 = -4*x, 0 = -2*x - 2*x + 5*s + y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 52\/85?\nAnswer: 52\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 1131?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17831 and 128821?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -423 divided by 141\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:10 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -436280\/3 + 143314. Let o = 2113 + a. Let 1\/3*h**3 - 2\/3 - o*h + 2\/3*h**2 = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + v - 6 = 0, -5*k + 2*v = -284 + 263. Suppose 2\/7*m**k + 4\/7*m**2 + 0 + 0*m = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3990193, 7980376, 11970559, 15960742, 19950925, 23941108?\nAnswer: 27931291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*t**3 + 4*t + 18*t**3 - t wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 9*h + 1. Let c be y(4). Let z = c + 10. Let o = z - -29. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/55*275 + -45. Let p = -6 - -1. Put t, p, 8, -7 in decreasing order.\nAnswer: 8, t, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) - (sqrt(17) + -5)))**2 - (0 + 1 + sqrt(17)).\nAnswer: -sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z + 1. Let u(x) = -5*x + 3. Calculate 2*p(w) + u(w).\nAnswer: 2*w**2 - 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21044310 is divided by 85?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 20*b + 55 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32\/(-12) - -2) + (-50)\/(-3). Let n = 67 - y. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s + 1. Let t(r) = r**3 + 6*r**2 - 2*r + 3. Let n(m) = -k(m) + t(m). Is 8 a factor of n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 7502074?\nAnswer: -3\/3751037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13030723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504431311 (base 6) to base 12.\nAnswer: 2a78537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + sqrt(8) + sqrt(2) + -4)**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 1. Let p(b) = 6*b - 6. Let j(q) = -p(q) + 5*w(q). What is j(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2, 20, 0 in decreasing order.\nAnswer: 30, 20, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 + 189. Let i be -2*(8 + 60\/c). Let d be 1675\/15 + 1\/3. Calculate the highest common factor of i and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7328261 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/2)\/((-9)\/2250)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-45)\/18)\/((-2)\/4). Suppose -3*m - 2*r + 57 = -5*r, -4*m = n*r - 94. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 8. Let u = -6 + n. Sort -3, 2, u.\nAnswer: u, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/3 + 67*k**2\/3 + k\/3 - 67\/3 = 0.\nAnswer: -1, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x = -105*x + 240 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -2474, -5323, -9266, -14315?\nAnswer: -20482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*a - 3602 = -1297*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5246708?\nAnswer: 2, 673, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:49 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 - 1748 = 1113*g + 10416 + 14737 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3790 and 8?\nAnswer: 30320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -43. Let y be (-2 - 26\/(-8))\/((-35)\/875). Let d = y - f. Which is the closest to d? (a) 0.03 (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/(69\/(-184)). Suppose 20 = -b*o + 9*o. Solve 0 = -6*c + o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48\/23 + -3441\/161. Let n = -1513\/77 - p. Let w = -4061\/90 - -479\/9. Calculate the common denominator of n and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.30075 + 5.3. What is g rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2738 * 0.1.\nAnswer: -0.02738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2777923)\/74)\/(1\/(-2) + 10 + -10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1506581573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -436, 1, -0.3, 3, 0, 4?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093374201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-9)\/12*10\/15). Suppose 0 = -6*c + 4*c + q. What is the highest common divisor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/28116 and -107\/51546.\nAnswer: 309276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 42 (b) 2\/15 (c) -1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v = 4 + 38 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1535\/628 + -580\/157. Let y = 205\/8 + -195\/8. Put -1\/5, j, y in decreasing order.\nAnswer: y, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - 0 - -4258) + 0\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 372 + 184 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n - 262 = 70*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005453 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.5. Let h = -0.3 - -1.3. Let l = -8 + 7.5. Which is the closest to h? (a) -5 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6869 + 6851. Which is smaller: b or -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - -0.02. Let y = 0.99 - u. Which is the nearest to 0? (a) 0 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 7) to base 13.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvii when four letters picked without replacement from ivvviivvivvii.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -394 + 393.999683. Round q to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 5*u - 5 + 2 + 4 - 4*u**3 to b*u**3 + v + f*u + k*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2306 + -358.9694. Let n = 359 + b. What is the nearest to -1\/3 in -32, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - s = -15, 2*s - 8 = -g + 2. Suppose -3*b - 5*a = 1, -3*b + b + 26 = -2*a. Solve 4 = -v + 3*n, -3*n + b = -g*v + 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1081 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 6. Let b be n(9). Let q(z) = -z. Let r be q(b). Suppose 0*k + i = r*k + 4, 2*i - 2 = 3*k. Put k, 1, 5 in decreasing order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3475 grams in kilograms?\nAnswer: 0.0033475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, y: 9}. What is prob of sequence yayy?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 27 = -10. Suppose 0 = -d + r + 4. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 + -5 - (4 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113519239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30673140 by -564.\nAnswer: -54385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -275 (c) 3 (d) -1\/3 (e) 142 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16017 = 423*b + 420*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*b = -30. Suppose 0*n + 134 = 5*i - 4*n, 3*i = -3*n + 102. Let x be 26\/i + 12\/90. Solve 9 = b*u - x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -56. Suppose 2*o + a - 1113 = q, 0 = 4*o - 7*o + a + 1672. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 - (0 + 0). Let j = 15 - 11. Let n(s) = -4*s - 130. Let i be n(-32). Which is the closest to -1? (a) j (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11837*10.3\nAnswer: -121921.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttfsmmtttbmtm. What is prob of sequence bsm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) 15 (c) 31 (d) 0.1 (e) -1\/95 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342*r**2 - 1345*r**2 + 2685*r**2 - 35*r + 15*r**3.\nAnswer: 15*r**3 - 2*r**2 - 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/3 + 14*m**3 - 38. What is the third derivative of n(l) wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91*54\/2079*-11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/((k**(-1\/6)*k)\/k))*k)**44)**14\/(k*k**(-4\/7)*k*k**(-3\/8)\/k*(k**0)**(4\/5)) assuming k is positive.\nAnswer: k**(-17257\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/45 - 8\/45?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7815 - -8011. Calculate the greatest common factor of 26 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938 a factor of 169266605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 976.24 + -892. Let c = o + -1.24. Let r = -83.57 + c. What is r rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 869 to the nearest 10.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1028874 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 391 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 3*j - 1641 = -26*o, 2*o - 1106 = 4*j. Which is greater: 550 or o?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4324 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 230?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0286 + -0.0714. Which is the second smallest value? (a) 6\/11 (b) i (c) -8 (d) 3\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 65219703.\nAnswer: -1\/65219703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-1 - 4 + 4)*(-5*u**3 + 11*u - 11*u).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 11*v - 12. Let w(l) = l**2 - 10*l + 11. Suppose s = 2*n - 18, -206*s + 210*s - 3*n = -42. Give s*w(i) - 5*a(i).\nAnswer: -i**2 + 5*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764544 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*sqrt(275)*-4)**2 + (sqrt(242)\/(sqrt(11)*-5))\/sqrt(2)*-5.\nAnswer: -211200 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 22*j + j - 88*j.\nAnswer: -114*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let k(u) = -u**2 + u - 3. Let g(y) = -5*i(y) - k(y). Let h be g(-7). What is the second derivative of -5*a - 29 + h - 2*a**2 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4030 + 22?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8*t + 6*t + 14, -5*t + 20 = 0. Suppose -o*p + 24 = 3*l, 3*p = p - l + 15. Differentiate -9 + 2 + p*y**3 + 2*y**3 + 11 with respect to y.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*20\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(1120\/1752) - (10 + 1)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 - 2*h**2 - 2*h - 3. Let t(d) = -24050*d**3 + 4*d**2 + 9*d + 24065*d**3 + 5*d**2 + 13. Determine -9*j(m) - 2*t(m).\nAnswer: 6*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2*g**2 - g + 2. Let l be m(-6). Let n = 37 - l. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523828, -1047658, -1571486, -2095312, -2619136?\nAnswer: -3142958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (74\/(-1))\/(1 + -3). Factor x*k**4 + 198*k**3 + 157*k**2 + 44*k**4 + 4 + 0 + 44*k.\nAnswer: (k + 1)**2*(9*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*q - 20, 5*q + 4*b - 20 = 2*q. Let i = 434 - -345. Let o = i + -8555\/11. Which is bigger: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6456*d**3 + d**2 - 1. Let l be k(1). Let j(b) = 78*b - 310. Let t be j(4). What is the remainder when 88 is divided by l\/(-144) + t\/12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*(-94 + 119 - 93).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v**(-1\/5)\/v))\/v*v*v*(v**5*v)\/v*v)\/(v**2*(v**7*v)\/v)*(v**1)**(-6)*v**(2\/3)*v*v**(-4)*v*v assuming v is positive.\nAnswer: v**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125 or 10174\/81?\nAnswer: 10174\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**4\/12 + 3*f**3\/2 - 10*f**2. Let z be r(6). What are the prime factors of z*((-44)\/6 - 2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.40796 + -0.09204. What is the nearest to -0.2 in p, -4, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/1059 and -13\/6.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 27231882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093132.\nAnswer: 2, 273283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/7869030 and -17\/1573806.\nAnswer: 7869030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 3\/7 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3579025 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -318. Let j = -205.9857 + t. Round j to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*w - w + 28, 4*l - w - 20 = 0. Let y = -5 + 22. Suppose 5*t - y = 63. What is the smallest common multiple of t and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 4*m - 2. Let j be y(5). Suppose j*p - 24 = -2*s, 3 = 3*p - 4*s - s. Let g = 17 - 16. What is the closest to g in p, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 plus 714795?\nAnswer: 714833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*f = -315, -x - 28*f - 117 = -31*f. Which is the nearest to -4? (a) x (b) -2\/13 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**38*u**(-13)*u*u**(-17) assuming u is positive.\nAnswer: u**(-181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.843941 take away 18?\nAnswer: -29.843941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 14. Let x = -1 + 3. Suppose -9 - x = -j. Solve -f = 4*a + j, -3*a + t - 14 = f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115474*r**3 - 103*r + 126.\nAnswer: 692844*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -20 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/60 - (460\/16)\/(-5). Solve 3*v - 13 = 5*w, 0 = -b*v + 2*v + 4*w + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1074255 by 36.\nAnswer: 358085\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9 + 575*w + 21*w**2 - 591*w - 23*w**2. Suppose -17 = 5*a + 18. What is j(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -12. Is 15\/(-5) + 7 + 67 + w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25310069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 56 = -4*o. Calculate the lowest common multiple of o and (-323)\/(-85) + (-1)\/(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0857 + -0.0469. Let u = 0.13 + t. Round u to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-128)\/60 - -2)*(-13 - -1). Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210321 = 580*q + 391*q + 112250 for q.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 7 + 7. Put 0, 8, l, 4 in decreasing order.\nAnswer: 8, 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -37. Suppose 5*y + 1 = 2*f - 0, 2*f - 4*y - 2 = 0. Solve -o = f*o + w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 16 + 4, -v = -2*q - 17. Suppose 9 = 5*i + d, -v*i + d = -3*i - 9. Solve -2*c + 0*c = -5*t + 3, t + i*c - 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + 12 = 0, 2*w + r + 5 = 0. Let z = 13 + w. Calculate the lowest common multiple of 4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -474?\nAnswer: -5\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/12)\/(2\/4). Let y = 7\/3 + h. Let a = 0 - -1. Is y less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-8 + (-222)\/(-24)). Suppose i*b**4 + 0*b + 0 - 8\/5*b**2 + 4\/5*b**3 = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04339039 rounded to four dps?\nAnswer: 0.0434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000332 rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-5*(-2*sqrt(143) - sqrt(143) - sqrt(143)) - (sqrt(143)*-2*3 - sqrt(143)))*-6)\/(-3*1*sqrt(1100)*5))**2.\nAnswer: -28431\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*q**3*u**2 - 166*h*q**3 - 9*h*q + 3*q**2 + 2*u**2 wrt q?\nAnswer: -12*h*u**2 - 996*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyhud. Give prob of sequence zyh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 8*f - 6*f - 23*f**3 + 21*f**3 in the form k*f**3 + i*f**2 + m + u*f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277513 and 268355071?\nAnswer: 268355071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/120 - d**5\/30 - 23*d**3\/2 - 65*d**2. Differentiate t(o) with respect to o.\nAnswer: 3*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42708 * 1.41\nAnswer: -60218.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 10*j + 7. Let a be i(-9). Let f = a + 9. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2031, -4534, -7377, -10560, -14083, -17946, -22149?\n\"Answer: -170*c**2 - 1993*c + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 855224310 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 598 or 1?\nAnswer: 598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3492.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3595 or 3593?\nAnswer: 3593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/64 + (-186003)\/24. Let p = c + 13101. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + -3*sqrt(66))*-3)\/sqrt(6) + (sqrt(11) + sqrt(77)\/sqrt(7) + 2 + 4)**2.\nAnswer: 80 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 260*z. Let c(g) = -1328*g. What is b(c(f))?\nAnswer: 3527168*f**2 - 345280*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 3626?\nAnswer: -3634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 3. Let p be g(-5). Let i be (-2 + 2 + 0)\/(p - -1). Suppose i = 9*x - 7*x - 8. Solve 9*r = x*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2019175702329 and -7.1.\nAnswer: 2019175702321.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/157 or -0.057?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 8897213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + (-65)\/(-25))*25\/795. Is k at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3*v + 76*j*v - 3*j*z**2 - 2486*v*z**2 wrt j.\nAnswer: -6*j**2*v + 76*v - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 + -0.02. Which is the closest to -1? (a) -6 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 12, 8.\nAnswer: 0.2, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043286 is divided by 217.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1524.7653 or -0.044?\nAnswer: -1524.7653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.3918 rounded to 1 decimal place?\nAnswer: -239.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 45*m**2 - 136*m + 389. Calculate x(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -206a8 (base 15) to base 5\nAnswer: -11242013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - a - 80 = 0, 21*p - 4*a - 92 = 17*p. Solve -p*q = 13*q + 160 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*b*c + 2*b - 4*c**4 - 266 with respect to c.\nAnswer: 19*b - 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*z = 5, 5*z - 4*z = -p + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 714 = 128*d - 24*d, 49*a - 50*a = -2*d - 3 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -10 + 30267 + 247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -471\/7. Let u = -63 - -59.3. Let h = u - -5.7. Which is the third biggest value? (a) 11 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**2 - 78*a**2 - 15*a**2 - 57*a**2 + 91*a**4 wrt a.\nAnswer: 2184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 5. Let o(h) = -h - 2. What is 10*o(r) + 4*s(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -0.3 (c) -0.72 (d) -2\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*d + 1679 = 0, 9*z - d - 2803 = 4*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 4*i - 2762. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1 - 12*f**3 + 158*f.\nAnswer: -12*f**3 + 158*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*z**4 - z**4 - 3 - 2*z**3 to r + g*z**2 + a*z**4 + u*z + l*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7250409 is divided by 800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2007*3*14\/49*(-17304)\/2472.\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2077846*a**2 - 1740494.\nAnswer: -4155692*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110111111010?\nAnswer: -110111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*m - 2*m - 23, -10 = -5*a + m. Let x = 261\/4 + -65. What is the nearest to 2\/7 in a, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(171)*-1 + 1*sqrt(171)*-2)\/(sqrt(1008)\/sqrt(7)*-4).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = 13276*t - 13283*t. Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaammmmmaaxaa. Give prob of picking 2 m.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 24 = -60. Suppose 4*c - 18 = c. What is the greatest common factor of s and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + u = -1 + 8, 2*u = 5*y - 19. Suppose 0 = -2*i - 4, d + y*i = -i - 50. Let p = d - -376\/9. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-308)\/245)\/(242\/(-847))*-15?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -46. Let m be -2*(42 + 0)*4\/g. Let x(t) = t**3 - 3*t**2 + 3. Let y(h) = -8*h**3 + 28*h**2 - 28. Calculate m*x(p) + 6*y(p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.19817 >= -150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986 a factor of 3800389696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -4*o. Suppose d = -1, o = 2*m + m - 2*d - 14. What is the third biggest value in m, -4, -7\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 - -305. What is the remainder when 178 is divided by d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 2660.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 30. Calculate u(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09377 + 0.10623. Which is the nearest to -12\/11? (a) -0.3 (b) n (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12542551 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*v - 4 = 0, 0 = 17*v - 12*v - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1777.5873 minutes to hours.\nAnswer: 29.626455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:53 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/9)*y)**0)**(-1\/17) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.5745 and -1.\nAnswer: 5.5745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**2 + 3*s**3 + 6*s**2 + s**2 + 22*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6403, 12757, 19007, 25099, 30979, 36593, 41887?\nAnswer: 46807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 790*o**3 + 236*o. Let k(z) = -789*z**3 - 236*z. Let l(b) = 4*i(b) + 6*k(b). Find the second derivative of l(u) wrt u.\nAnswer: -9444*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 60*a**2 + a + 58. Determine s(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2695) - sqrt(55))\/(-1*sqrt(125) - sqrt(125)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(sqrt(3500) + sqrt(3500) + sqrt(3500)*4 + sqrt(3500)))\/(1*sqrt(720)*-4).\nAnswer: -35*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n + 31. Let l = 208 + -211. Calculate the smallest common multiple of 44 and w(l).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-117)\/(-8))\/13*(-2)\/(-3). Which is the second smallest value? (a) -33 (b) s (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 1, y: 2, f: 9}. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9736*q - 3144746 + 3144746 + (4 - 3 + 2)*(-3 + 0 + 1)*(1 - 1 - q) to the form a + h*q and give h.\nAnswer: 9742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.3 (b) 21\/8 (c) 2\/209 (d) -23.8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:31 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20721212 is divided by 3453525.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from vxxxxvxxxxxxx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l + 129. Let n be i(21). Suppose -n*k + 11 = o, -4*o = -0*o + 2*k - 14. Solve o*v = -2 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 7*r + 6. Calculate the lowest common multiple of d(-1) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h**2 - 26*h**2 + 3*h**3)*(18 - 9 + 10)*(-8 + 7 - 5).\nAnswer: -342*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/(-8))\/(2\/752). Let m = g + -3063\/2. Let c = 617\/110 - 10\/11. Calculate the common denominator of c and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(1 + 0 - 0). Let y be 54\/15 - (-4)\/10. Let i be 0 + 0 + y\/2. Solve 4 = -i*x - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 79*d - 2997, 5*w + 174563*d + 215 = 174568*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r + 3380. Let z(f) = -7*f + 3378. What is -3*m(s) + 4*z(s)?\nAnswer: 2*s + 3372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1031*d - 104. Let a(z) = -213*z - 21. Let r(j) = -29*a(j) + 6*x(j). Calculate r(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -56.8. What is the closest to 0.04 in -1\/3, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -3 - ((-5673319)\/(-210) - 0). Let f = 338666\/15 + h. Let u = 4443 + f. Calculate the common denominator of 57\/20 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -62. Let c(f) = -f**3 - 6*f**2 + 7*f - 8. Let x be c(-6). Let j = d - x. Solve -q + 3 + 6 = -j*m, -9 = 3*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.46 + 23.6. Let f = 1.14 - y. Which is the nearest to f? (a) 0.4 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339565*d**5 - d**2 - 4864*d + 3?\nAnswer: -20373900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102843360 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*i**3*x**3 + 3*i**3*x**2 + 14*i**3*x - 4*i**2*x**3 + 280*i**2*x**2 + 46*i*x**3 wrt x.\nAnswer: 144*i**3 - 24*i**2 + 276*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-8)*(-1752)\/292)\/((-14)\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*a - 14, 0*p = 2*p - 5*a - 11. Suppose 0 = y - 3*g + 2, 5*y + 20*g = 18*g + 7. Are y and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103123 less than -103125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1213.4 and -0.022?\nAnswer: 26.6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from zzszslszzzsszlz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11230 - -1?\nAnswer: -11225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Suppose 0 = 2*k - 4 - 0. Let c(i) = 3*i + 0*i**2 + 2 + 0*i - 2*i**2 + 3*i**k. Let l(h) = c(h) + t(h). Factor l(o).\nAnswer: (o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let p(y) = 6525114*y. Determine p(s(v)).\nAnswer: 6525114*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/24)\/1 - (-81050)\/8. What is the remainder when (1\/3)\/(11\/t) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1. Let h(o) = -o**3 + 3*o + 3. Let z(y) = h(y) + 6*i(y). Let d(w) be the first derivative of z(w). Factor d(p).\nAnswer: -3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*s + 6. Suppose -2*p**4 - 12*p**2 + 6*p + 8 + 6*p**4 - 2*p - s*p**3 = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 2*q. Let s = 4 - 2. Let t be l(s). Suppose -2*f = -2*g - 82, -165 = -f - 3*f + 5*g. Solve -f = 6*r - r + 5*p, 26 = -t*r - 2*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/6))**(-36))**(-49))**(-1\/13) assuming r is positive.\nAnswer: r**(294\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**6\/30 - 7*z**5\/4 + 7*z**4\/12 + 3*z - 6. Find the third derivative of h(m) wrt m.\nAnswer: 24*m - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = y + 17, 14 = 3*b - y + 2. Let a = -2 + b. Solve -2*p - 6*p**3 + a*p**2 - 9*p**2 - 4*p**4 + 2*p**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -56, -5, -34, 5.\nAnswer: -56, -34, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1589*v - 4592. Determine w(3).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*w - 19725 = -97*w + 7743 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 14*a + 14. Let d(s) = 3 - s + 6*s + 2. Let m(r) = -6*r**2. Suppose 3 + 1 = 4*g. Let l be m(g). Determine l*x(n) + 17*d(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -69, -90, -95, -78, -33, 46?\n\"Answer: r**3 - r**2 - 35*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + 1 + sqrt(1088) + 5)**2 + ((-5 + (-1 + sqrt(425) - sqrt(425)) + 2)*-3)**2.\nAnswer: -5301 - 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123545021 (base 6) to base 13.\nAnswer: -66b7a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 5, a: 5, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 665908 and 2493?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 1\/18*z**4 + 2\/15*z**5 + 1\/27*z**6 + 0*z - 2\/9*z**2 - 2\/9*z**3 + 6. Determine i, given that p(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -363? (a) 4 (b) -0.5 (c) 1\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24064.4189119 + 24951.41897. Let p = 887 - a. Round p to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107305 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34600.3493 rounded to the nearest 100?\nAnswer: 34600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 125*j**3 + 18360650*j**2 - 14688580*j + 2937720 = 0. What is j?\nAnswer: -146886, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130643 is divided by 3807?\nAnswer: 3771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418 by -209.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - d = -2*u + 8, -u + 6 = -2*d. Let k = -1 + 1. Solve -4*a + u - 3 = -3*g, k = 5*a + 3*g - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-21)*8\/24?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 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: Let k = 7\/18 - 13\/126. Let u = 2.1 - 2. Which is the nearest to k? (a) -2\/17 (b) 1\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (3 - 5 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0486985174 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 13195*o**2 + 26395*o + 23. Calculate g(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1012212122021 (base 3) to base 5\nAnswer: 131201324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 27. Suppose -y - 2 = -4*w. Put -5, -3, w in decreasing order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151332 + 151331.7. Let w = -0.5 + 0.3. Let f = w - 0.3. What is the nearest to 3\/8 in i, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 2546765?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 15. Let f be t(12). Let -8*i**2 + 8*i + i**f + 13*i**2 - 4 - 10*i**2 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1514962, 1514805, 1514544, 1514179, 1513710, 1513137?\n\"Answer: -52*u**2 - u + 1515015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*r - 1955 = -200, 3518 = 2*p - 2*r. What is the remainder when p is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249494150.\nAnswer: 2, 5, 1061, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1023034 (base 6) to base 10\nAnswer: -49918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -199.52 and -8133?\nAnswer: 1622696.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 0 - (5 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 813. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -572 and -566 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-19 + 7 - 7) - (1 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*w + 41*w + 144. Let j = w - -50. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78)\/195 - (-44)\/10. Differentiate -10*d**o + 12*d**4 + 26 - 3*d**4 + 25*d**4 + 39*d**4 wrt d.\nAnswer: 252*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - 4*x - 17. Let y be 14\/4 - 2\/4. Let n(z) be the first derivative of -2*z**3\/3 + z**2\/2 + 6*z - 15. Let t(u) = y*j(u) + 8*n(u). Give t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 14 = -3*k, 4*r - 17 = -4*k + 7. Suppose -23 = r*x - 55. What is the least common multiple of x and (1 - -4) + (-38)\/19?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73130?\nAnswer: 2, 5, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22201 + 3?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (5594\/3)\/(236\/1416) a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 227 = -205. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 2:44 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018041 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 34*w**2 + 206*w + 9. Let j be m(-6). Put -1, -46, j in decreasing order.\nAnswer: -1, j, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5\/90 - 169*l**4\/12 + 3*l**2 - 815*l + 2. Let k(t) = 0. Calculate t.\nAnswer: -507, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x**4\/4 - 50847363*x**3\/2 - 52764403015909*x**2\/4 - 7537765633209*x - 1076823365401 = 0. What is x?\nAnswer: -1037701, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -118, -288, -532, -850, -1242?\n\"Answer: -37*f**2 + 15*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from uuqyuwwqjyyoyqyyyu?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 12:03 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1527014 + -212?\nAnswer: -1527226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10384 != 10381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 934, 1862, 2790, 3718?\n\"Answer: 928*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51959\/7 - 7423. Let n = 1.2 + -1. What is the nearest to n in -1\/6, 3\/5, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 6320?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -3221*h**4\/4 - h**2 + 232*h + 2620. What is the second derivative of z(s) wrt s?\nAnswer: -19326*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 2*q**4 - q**3)*(9*q + 21*q + 5*q) - q**5 + 2*q**5 - 3*q**5 + (2*q**3 - 2*q**3 - 2*q**5)*(0 + 1 - 3).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 69.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.47 - 0.47. What is the second biggest value in 3, 0.3, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31632 divided by -6?\nAnswer: -5272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*h - 12 = -6*g, -2*h = -g - 6. Let r = -1 - g. Let k be r\/3*-3 + 3199. What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/(-539)*2\/(-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 147 + 10*n**2)*(4 + 3*n - 4) - 3*n**3 + 5*n**3 - 4*n**3 + (2*n**3 + n**2 - n**2)*(-2 + 2 - 1) - 3*n**3 - 3*n**3 + 5*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 2. Let j be -3*((-4)\/(-3) + (27 - 29)). Determine s(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25237161 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 11*t**2 + t - 1. Let b be x(11). Let a(f) = 5*f**3 + 2*f**3 - 3*f**3 - 3*f**3 - 8 + 12*f - b*f**2. What is the tens digit of a(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.3 (c) 90 (d) -2\/5 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134331?\nAnswer: 3, 44777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:47 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9997\/13 - ((-2)\/2 - -2). Let h = 1108 - m. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 3 - 5*f**4 + 16 - 11 - f - 2*f**3 to r*f**4 + s + k*f**3 + p*f**2 + h*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29000940 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - b**2 + b. Let x(h) = 2*h**2 + h - 3. Let n be x(-2). Suppose 0 = a + d - n, a + 19 = 5*d - 8. Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/7 + 10\/(-35)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18228, -18226, -18224, -18222, -18220, -18218?\n\"Answer: 2*z - 18230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 103. Determine u(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 13 = -2*s, 0*s + 3*s - 13 = -a. Let t be a\/(-2)*(-68 - 0). Suppose 90*j = 89*j + t. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*t = -t - 248, u + 2*t - 56 = 0. Let f = u - 48. What is the highest common factor of 108 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344 and 2534.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 4*y**3\/3 - 4*y**2 - 12*y + 4. Factor w(d).\nAnswer: 4*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41907016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + -2 + 11 + 1. Suppose n*b - 9*b + 3*g = -72, 3*b + 4*g - 255 = 0. Suppose -q = -8 - 13. What is the remainder when b is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -8cd?\nAnswer: 8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/974 and 131\/6?\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 - -22. Let v = o + 619. Suppose v = u + 2*u. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100011011011011011 (base 2) to base 6\nAnswer: 22203031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4117825 is divided by 2058833.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2550, -2558, -2574, -2598?\n\"Answer: -4*o**2 + 4*o - 2550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 19460*a**3 + 8739*a**2 - 13*a + 13. Let l(o) = 3243*o**3 + 1456*o**2 - 2*o + 2. Let p(c) = 13*l(c) - 2*v(c). Find the third derivative of p(j) wrt j.\nAnswer: 19434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v. Let j(w) = -2550*w**2. Determine j(u(z)).\nAnswer: -22950*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.64 - -0.45. Let y = d - 0.21. Let v = -4.01 - -0.01. Sort y, 4, v.\nAnswer: v, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (2 + 0\/(0 + -2)). What is the closest to -1 in -3\/5, -2, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3976, 7958, 11942, 15928, 19916, 23906?\nAnswer: 27898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70848, 141693, 212528, 283347, 354144, 424913?\nAnswer: 495648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 1\/10*x**4 - 1\/5*x**2 + 0*x**3 - 1\/5*x + 1\/25*x**5 + 7. Suppose l(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6\/5))\/((k*k**(-14)*k)\/k))\/(k\/k**(2\/23))**(-4\/11) assuming k is positive.\nAnswer: k**(16612\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255247699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j - 25 = -32*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2. Let r(p) = -1502*p**2. What is s(r(c))?\nAnswer: 13536024*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (235\/(-846)*3)\/(10\/(-8)*60\/15).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 187152113 to the power of 1\/2, to the nearest integer?\nAnswer: 13680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfg when three letters picked without replacement from gwppprfggpghp?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 333 or -320?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.508642183 rounded to three dps?\nAnswer: -0.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -30 (c) -24 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85a (base 13) in base 2?\nAnswer: 10110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -13166 - 11800. Does 102 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 70 = -255. Let v = 39 + q. Suppose v = a + 3*g, 2*a = -4*g - 23 + 177. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 359*c + 2132. Let u be k(6). What is the greatest common factor of 448 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, b: 5}. Give prob of picking 2 z.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 43 = 41. Let z be ((-12)\/28)\/1 - (-1255799991)\/h. What is z rounded to the nearest one million?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*l**4 + 27*l**4 + 4 + 0*l**2 - 2*l**2 as q*l**4 + n*l + d + p*l**3 + v*l**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from fssssbssssfbssbsssbb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 1, 2, -5 in increasing order.\nAnswer: -37, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*w = 134*w. Solve w = -13*s - 78 - 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 18*d = 9*d. Suppose 4*k - 29 = -5*m, -k + d*k = -2*m - 4. Solve 0 = -9*c + k*c - 15, 5*o + c - 10 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*s + 69*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*r + 582*r + 61 = 0. What is the remainder when r is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230 is divided by 177.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1013699 + -3041093\/3. Factor 0 + 10\/9*u**3 + z*u**2 + 0*u - 8\/9*u**4.\nAnswer: -2*u**2*(u - 2)*(4*u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 3*x**2 - 104*x - 66. Give k(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1740954 is divided by 95?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a**2 - 54*a**2 - 6*a**3 + 4*a**3.\nAnswer: -2*a**3 - 103*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 22*c**2 + 20029*c + 59913. Determine v(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 14 + 70*k - 68*k)*(-4*k + 3*k + 0*k).\nAnswer: -2*k**2 + 43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c + 250 = -316 - 650 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 3*r + 13 + 14, -2*c - 6*r = -c - 33 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43375 + -43373.8. Let k = -2.2 + 0.2. Let w = -4 - k. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 32 - (742 - 743).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 11:17 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -589 + 31*j**2 - j + 589 as o*j**2 + p*j + f and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416275 by 7.\nAnswer: -416275\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 7*z**2 + 3*z + 1. Suppose -20*v = -14*v - 12. Let g be (1 - v)*12\/(-4 - -1). Give p(g).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 r when four letters picked without replacement from {v: 2, p: 3, r: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*k + 113*k - 21*k**2 + 27*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3 and -133\/140586.\nAnswer: 140586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 9. Let a be z(-4). Let b = 2 + a. Let r = -5.3 + 5.23. Sort r, b, -0.4, 0.2 in increasing order.\nAnswer: b, -0.4, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 29*k**2 + 4*k - 31*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -506, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19281.6164 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135953 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -7\/3*t**3 - t - 2 - 7\/2*t**2 - 1\/4*t**4. What is the units digit of d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136669, -18, -9 in ascending order.\nAnswer: -136669, -18, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - -6*(0 + sqrt(832)) - (-1*sqrt(832) + 3))*-2 - ((sqrt(832) + 1 + sqrt(832))*-6 + -4 + 0))**2 + -4.\nAnswer: -1024*sqrt(13) + 13564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + m)*(-1006*m**4 + 536*m**4 + m + 516*m**4 + m**3).\nAnswer: -138*m**5 - 3*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -7 (c) 0.1 (d) 0.3 (e) -0.4 (f) 223\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*130*164\/15990?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555725 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x + 7 + 9\/2*x**2. What is z(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/5040 - g**6\/480 + g**5\/60 - 4*g**4\/3 + 25*g**2. Let w(f) be the second derivative of r(f). Find p such that w(p) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*o + 11*q - 16 - 10, 5*o + 3*q + 29 = 7*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -30*x**3 - 4*x**2 - 5*x - 2. Let p(j) = -61*j**3 - 9*j**2 - 10*j - 5. What is -9*c(a) + 4*p(a)?\nAnswer: 26*a**3 + 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 134*w + 5. Let g(u) = 4*u**2 - 133*u + 6. Determine -5*g(x) + 6*h(x).\nAnswer: -2*x**2 - 139*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1299*n**2 + 307*n**2 - 263*n**2 - n + 2 in the form f + t*n + h*n**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**5\/4 + 18*b**4 + 15*b**3 - 111*b**2\/2 - 351*b\/4 - 69\/2 = 0.\nAnswer: -23, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:43 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.45 or -4.973?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 311669287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55162?\nAnswer: 2, 27581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 10, d: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 3*z**2\/2 - 2*z + 197. Let k(g) = 3*g - 3. Give -3*b(m) + 2*k(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 368 = -29*u. Solve u*z - 20*z = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 - 84)*13\/52*2*2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 145 = 1465. Suppose w + 3*w = -2*a + h, 0 = -3*w - 9. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:12 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**8\/240 + 3*a**7\/280 + a**6\/180 - 6*a**3 - 1. Let q(o) be the third derivative of k(o). Factor q(s).\nAnswer: s**2*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97095 or 97094?\nAnswer: 97094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24800 = -18*r - 13*r. Differentiate -r + 1775 - 200*u - 795 wrt u.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -262. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + -140. Suppose -12 = -2*o - z. Solve -3*g - 40 = 5*q, o = -3*g + 2*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 68*o**3 + 11*o**2 + 15*o + 13. Let g(m) = 106*m**3 + 17*m**2 + 23*m + 20. Let r(d) = -7*g(d) + 11*y(d). Determine r(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a + 19. Let p be (-44)\/(-20) + 13\/(-65). Calculate s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x**3 + 3*x**2 + 5. Let z(d) = 13*d**3 + 4*d**2 + 6. Let j(a) = 6*s(a) - 5*z(a). Find i, given that j(i) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-2*m - m + m)*(-2 - 1 + 0) - 1 - 2 - 61*m + 39*m as p + k*m and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -75.3 * 3913\nAnswer: -294648.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14.9. Let d = w + -3. Let u = d - -0.0988. Round u to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**3 + d**2\/2 - 4*d - 502. Determine c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a2 (base 16) to base 11.\nAnswer: -4185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 9. Let z be ((-8)\/(-24))\/((-1)\/b). Suppose -2*c - 4 = -z*c. Solve -c*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -6, -1, -54, 4, -12, 0 in ascending order.\nAnswer: -54, -12, -6, -1, 0, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*z - 126, -3*k - 4*z = k - 84. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3058760 and -97\/9762.\nAnswer: 9176280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230052006?\nAnswer: 2, 3, 31, 17365871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36161, 73023, 109885, 146747, 183609, 220471?\n\"Answer: 36862*d - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*m - 32, -2*m = -2*k - 2*k + 44. Suppose 0 = s - 0 + 10. Let p = s + k. Is p > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 2*y**2 + 3*y**2)*(y - 8*y + 3*y) + (57*y**2 - 8*y - 95*y - 56*y**2)*(2*y + 3*y - 6*y).\nAnswer: -5*y**3 + 103*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10644 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 107*u**2. Let o(k) = 11*k. Let q(y) = -57*y. Let f(g) = -21*o(g) - 4*q(g). What is l(f(s))?\nAnswer: 963*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/862033 + -2252529461\/1234431256. Let g = h + -9\/179. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*f = -1070, 2*f - 856 = -4*n + 3*f. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86\/179 - -2048\/537. Solve 40\/3 - 104\/3*w + x*w**2 = 0.\nAnswer: 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1575)*2695\/385\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 8. Let s be b(-5). Suppose 203 - 195 = 3*p + 2*x, -5*x + 20 = -p. Put p, s, -2, 1 in decreasing order.\nAnswer: 1, p, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208157967, -208157968, -208157969, -208157970, -208157971?\nAnswer: -208157972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*v + 6529 - 6589 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-16)\/6*30\/(-20). Find h such that 168*h**2 - 928*h - 54*h**3 - 2*h**3 + 428 + 264*h**2 - 4*h**z + 212 = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.597256 millennia in centuries?\nAnswer: 75.97256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8955683 and 26598.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 6972760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(8) + sqrt(32)\/sqrt(4)))\/(sqrt(21)\/sqrt(28)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/(-140)*-2 + 9\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 123\/205 + -3 + 1046\/(-10). Let x = 4 - 7. What is the smallest value in 1\/5, -1\/7, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -592, -615, -654, -709, -780?\n\"Answer: -8*r**2 + r - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1005546?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 10\/16568579?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 + h**3)*(0 + 0 - 2*h) + 2 - 2 - h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 560\/(-700) - (8\/(-3))\/(120\/252). Factor -6\/5*u**2 + 0 + p*u - 3\/5*u**3.\nAnswer: -3*u*(u - 2)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**4\/13 + 13998*w**3\/13 - 7006*w**2\/13 - 21000*w\/13 = 0?\nAnswer: -3500, -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*m = -298*m - 274 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13380, 13384, 13390, 13398, 13408, 13420?\n\"Answer: j**2 + j + 13378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115412081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1672 and 803.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfbf when four letters picked without replacement from {f: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541, 955, 1241, 1399?\nAnswer: 1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w - 38*w = 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 181873\/24 + 18\/6. Let j = w - 7579. Find the common denominator of j and (-162)\/(-1215)*1130\/(-24).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*x + 8, 2*x + x - v = 20. Let j(m) = 6*m**2 - 5*m. Let c(s) = -7*s**2 + 6*s. Let t(b) = x*j(b) + 5*c(b). Let q(i) = -97*i**2. What is q(t(r))?\nAnswer: -97*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = -2*r. Let v = -2 + r. Let a(g) = 6*g. Let j(p) = 7*p. Let b(d) = 4*d - 53. Let u be b(12). Determine u*j(s) + v*a(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 8 = -2*h, h = -q + 6*q + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4513*l - 4441*l = -3069*l - 835670 for l.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-7 + 3)) + (-20 + 39 - 6) + 22?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -36*m**2 + 19*m - 30. Let p(l) = -l**2 + 2*l - 5. Let t(b) = -6*p(b) + u(b). Let g(n) = 8*n. Determine t(g(x)).\nAnswer: -1920*x**2 + 56*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 smaller than -908418\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217345 and 8415?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -513 - -1002. Let d = -2941\/6 + o. What is the second smallest value in d, -0.1, 2, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/40)\/2)\/(2\/40).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 12*k - 11. Let p be x(-12). Is p < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2037\/140578 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a876 (base 12) to base 2.\nAnswer: -100100001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/30 and 2\/10 - (-27)\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8357*x + 394991. Calculate q(47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3000806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -16*b - 64 + 1\/3*b**3 + 3*b**2. Factor r(y).\nAnswer: (y - 2)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (59 - (-26 - -43))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200202101 (base 3) in base 12?\nAnswer: -36101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 11. Let u be p(8). Suppose -35*r = -2762 - 6898. Is 3\/((u\/r)\/(3\/18)) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 0.0441.\nAnswer: -6.9559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 58*a - 5. Let z(x) = -29*x + 3. Let d(l) = -3*l - 6. Let t be d(-3). Let u(o) = t*j(o) + 5*z(o). Let h(s) = s**2. What is u(h(p))?\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:28 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 18 = 3*c - 0*c, 0 = -2*c - u - 1. Let w(n) = -2*n - 1. Let j be w(-2). Suppose j*z = -0 + 12. What is the highest common divisor of c and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -44505 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*m - 4606, -5*p = -10*m + 15*m - 11500. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q + 666. Determine w(88).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - p - 3, -v + 21 = -2*v - 5*p. Let q be -1*((v - -1) + -1). Let d(o) = -3 + o - q + 0. Give d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32965, -65610, -98255, -130900, -163545?\n\"Answer: -32645*r - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 8:21 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10499525 less than -103?\nAnswer: 10499422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 71*k**2 + 14. Let l(v) = -20*v**2 - 4. Let c(z) = -7*l(z) - 2*r(z). Let b(a) = 1574*a. What is b(c(s))?\nAnswer: -3148*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-202 - 10600\/(-53)) + 92 + 0\/(-2) - -6.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:58 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15200000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 1. Suppose -2*k + 5 = 3*k. Let u be z(k). Suppose -2*o + 18 = c - 4*o, -u*o = c - 18. What is the greatest common divisor of 90 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/8 - 216633*j**3\/8 - 7151067*j**2\/8 - 78669723*j\/8 - 72117573\/2.\nAnswer: 3*(j - 72244)*(j + 11)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/574834 and 21\/13?\nAnswer: 574834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 6*r - 3*r + 5*r - 3 - 2*r + 3 - 2*r - r + 4*r + (0*r + 0*r - r)*(-1 - 4 + 3) + 3 - 3 - 2*r.\nAnswer: 7*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 520 - 2?\nAnswer: 51a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from prqpiqe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -521.42828 and -8.1744?\nAnswer: 513.25388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 43 - 233 = 0. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.019? (a) 7 (b) -0.1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233651681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*p = 323*p + 21760. Calculate the greatest common factor of p and 968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131 * 0.069386.\nAnswer: -9.089566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -206, -212, -218, -224, -230?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-1)\/6). Let u be -5*k\/5*-1. Let o(w) = -1 + 2 - u. Let s(t) = t**3 - t**2 + t - 5. Determine -5*o(z) + 2*s(z).\nAnswer: 2*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 30*c + 30*c - c - 9*c as a*c**2 + s*c + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1484 divided by 6.\nAnswer: -742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 1, 1\/4, -5, -4, -2.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or 511.5?\nAnswer: 511.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*h + 182*h = 6552. Calculate the highest common divisor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34986 + -34964. What is the remainder when 7059 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112815 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 161, 157, 151, 143, 133, 121?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 7*m + 170. Let c be g(-17). What is the biggest value in c, -0.11, -41?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x + 42. Let m be ((-476)\/(-21))\/(4\/(-6)). Let p(d) = -2*d - 7. Let i(z) = m*p(z) - 6*y(z). Differentiate i(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -233, -351, -471?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5158972 to the nearest integer?\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -16 - -10 - 82 - (2 - 0)) + 1.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*p + 24, 0 = -4*p + 4*y - 2*y + 28. What is the third derivative of 2 + g**2 - 10 + g**3 + p wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/((-16)\/239968) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:57 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 r when four letters picked without replacement from {x: 3, s: 2, r: 1, d: 1, l: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*l = 12, -2*i + 7 = 3*l - 0*l. Suppose 3*w - 5 + i = 0. Calculate the lowest common multiple of 20 and ((-8)\/10)\/(w\/(-15)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 866434 and 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g + 332 = -3*u - 160, 1942*u - 52 = 1939*u + 4*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12) + 16\/(5808\/(-77)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 4*h + 7. Let g be a(5). Suppose 0 = 3*x - 15, 5*c + g*x + 3*x = 70. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 + -19 - -26) - 16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608 greater than 2483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 - f**3 - 2*f**2 - 4*f - 2. Let g(q) = q**3 + q**2 + q + 1. Let m(l) = 3*g(l) + w(l). Give m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290 divided by -1?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26688281 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - 5.23. Which is the third biggest value? (a) 2 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -153, -153, -163, -189, -237, -313, -423?\n\"Answer: -t**3 + t**2 + 4*t - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1700) + -2 - sqrt(1700)) + 4)**2*3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + 1.800009. Round y to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82668)\/6889)\/((-9)\/(-66)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 89 = -73. Solve -f + c*a - 16 = 2*f, -a = -5*f - 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/12)*((l*l**(-3)*l)\/l*l)\/l)\/(l**(-1))**(-27))\/((l*l\/l**(-2\/9)*l**5)\/(l**1)**(2\/17)) assuming l is positive.\nAnswer: l**(-22045\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 16. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-237)\/((-2)\/(-3) + (-23)\/(-69)). Let k = x - -282. Calculate the remainder when 139 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 10. Suppose 0 = 5*j + 2*s - 55, 0 = -p*s - 5*s - 25. Calculate the remainder when 7\/(-7) - (-62 + 0) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*r = -5*k - 3, 5*r - 25 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47881, 191238, 430065, 764356, 1194105, 1719306?\nAnswer: 2339953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = -3*y, -4*y - y + 2*r + 27 = 0. Let x(c) = c**3 - c**2 - 3. Let s be x(0). Put -4, s, y in decreasing order.\nAnswer: y, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6075 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.937812 - 0.9868067. Let r = a - -0.049. What is r rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37531.04 + 37531. Which is the closest to -3? (a) 2 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011111000110010110001 (base 2) to base 12\nAnswer: 18b4ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 507193158 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001335723363 to 7 dps.\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 - 173 = -4*u. Calculate the common denominator of 207\/60*(-44)\/u and -97\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 0, 4*n + 4*f - 4 + 52 = 0. Let x be ((-45)\/n + -4)\/((-2)\/8). Differentiate -7*u - 4 - 15*u - x - 11*u with respect to u.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748 and 160.\nAnswer: 29920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19548 and 488.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5 + 2. Let i be (-4 - a) + (4 - -1). Suppose -i*v = -3 - 21. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 4*q - 6*q = 0. Suppose q = -2*p + 115 + 125. What is the least common multiple of p and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -108, -142, -174, -204, -232?\n\"Answer: u**2 - 39*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**6\/210 + 6*m**5\/35 - 33*m**4\/14 + 108*m**3\/7 - 729*m**2\/14 - 397*m. What is a in y(a) = 0?\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3334*h**2 - 26612*h + 28. Give n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - w = -8*r + 10808, -w = -3*r + 6484. Is r a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/10)\/(3\/(-4)). Let x = -584\/965 + 1\/193. Suppose 2*j = -8, 0*j - 2 = -5*t - 2*j. What is the nearest to x in t, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 7149*j**2\/2 - 28617*j\/2 + 35765\/2.\nAnswer: (j - 7153)*(j - 1)*(j + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -17371 smaller than -17808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 120. Suppose -4*c - k = -1347. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**4 + 5*v**4 + 48*v + v**2 - 19*v - 5*v**4 + v**3 in the form m + p*v + w*v**2 + h*v**4 + j*v**3 and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761121?\nAnswer: 3, 19, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let c = -108.7 + 109. What is the smallest value in -1, m, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/57*(-2)\/3\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*m*p**3*v - 62754*m*p**3 - m*p**2*v - 10*m*p*v + 4*m*p + 423*p**2 + 28*v wrt p?\nAnswer: 264*m*v - 376524*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46988498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 82. Suppose -13 + u = 4*a. Is 143980\/80 - (-5)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845835420 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (1 - 0)) + 5. Suppose 4*o - m*l = 2*l + 20, -13 = -2*o - l. Suppose -c - 4*p - o + 24 = 0, -3*p = -4*c - 4. Solve -d = -c*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3418710.\nAnswer: 2, 3, 5, 113957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = -2*c - 42 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-179*t**2 + 150*t**3 - 292*t**3 + 146*t**3).\nAnswer: 4*t**3 - 179*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o + 1. Let v(n) = -4*n - 1. Let s(t) = -11*v(t) - 6*y(t). Let j(i) = 4*i - 5. What is the remainder when s(8) is divided by j(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 8, s: 2, j: 1}. Give prob of sequence gj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382\/67 or 3\/154?\nAnswer: -382\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 0.03208.\nAnswer: 0.0009624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 16) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -115 in -5, -40, 3.4?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75257702.\nAnswer: 2, 13, 23, 317, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/13 + 416*l + 2301150\/13.\nAnswer: 2*(l + 529)*(l + 2175)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 54 - 2. Suppose -4*y + 4*g - 31 = -y, 5*y = -3*g - u. Let i be 1\/y - (-19)\/45. Which is the second smallest value? (a) 0 (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12 + 18 - -96)*29\/2.\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/45 - b**4\/24 - b**3\/3 - b**2. Let p(j) be the first derivative of l(j). Is p(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.5 - -29. Let h = w + 10. Sort h, -2, -3.\nAnswer: -3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/5))**(2\/31))**(-6))**5 assuming k is positive.\nAnswer: k**(-84\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-7)\/((-21)\/18). Let r(n) be the third derivative of -n**5\/60 - n**4\/24 + n**3\/3 + 2*n**2. Calculate r(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*t - 3*t - 4*t)*(2*t**2 + 0*t**2 - 3*t**2 + (t + t + 3*t)*(0*t + 0*t - t) - 2*t**2 + 4*t**2 + 0*t**2) as c*t**3 + d*t + x*t**2 + n and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - -3.3. Let f = 4.1 - l. Is 0.4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.57296 - 6\nAnswer: -15.57296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*i - 5*i - 8976. What is the least common multiple of 136 and i?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -826*q**2 + 168*q**4 - 561*q**4 - 2*q + 826*q**2 - 1 in the form o*q + h + g*q**2 + w*q**4 + v*q**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-39))\/((-309)\/4017)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65755 and 78906.\nAnswer: 394530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -2\/3, 15\/22, 0, 1, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1861, 7369, 16531, 29335, 45769, 65821, 89479?\n\"Answer: -2*f**3 + 1839*f**2 + 5*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1422836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -486, -487, -488, -489, -490, -491?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265 - -281. Solve r = -4*j - 0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 + 11*r - 5. Let f(p) = 5*p**2 - 12*p + 5. Let v(c) = -4*a(c) - 3*f(c). What is v(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2167 and 2\/851631?\nAnswer: 851631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millisecond in microseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*u = -77*u. Suppose -3*w + 1563 - 216 = u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4 and 39\/1159.\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 14615143\nAnswer: -58460572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13261600 and 274?\nAnswer: 13261600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(16\/(-26)))\/(32\/128)*13\/(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 9*i - 1. Suppose 2*u = 2*q + 666, 3*u - 2*u + 5*q = 345. What is the remainder when u is divided by f(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 22*l**2 + 22*l + 57. Calculate i(-23).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -485, -4734, -16253, -38678, -75645, -130790, -207749?\nAnswer: -310158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336134003 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:57 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 45599 = -310741. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 0, -11, 0.34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710*y**2 + 87*y**2 - 1526*y**2.\nAnswer: -2149*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73368063*n**3 - 36684035*n**3 - 36684029*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26246294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/4 - r**2 - 11*r\/4 - 3\/2 = 0. Calculate r.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -9*x - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(-1*sqrt(704)))\/(6*sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3500) + -2*sqrt(3500))\/sqrt(5).\nAnswer: -10*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100120 (base 3) to base 6.\nAnswer: 4323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11325 is divided by 567.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2)\/(-3)*30\/(-4). Suppose -2*w + 2*o + 2 = 3*o, -y*w = -o - 12. Sort -5, -1, w in decreasing order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 550658 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 6)*(2 - 5 + 2)*(47 - 74*s - 47) to the form b*s + x and give b.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 8166035025 - 10*x**3 - 2*x - x + 8166035025.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1))**19)**(-2\/33)*((u*u**4*u)\/u**(2\/13))\/(u**(-3)\/(u*u**(-4\/7)*u)) assuming u is positive.\nAnswer: u**(27397\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 3. Suppose -4*y + c*y = 0. Let j(a) = a**3 + 8*a**2 + 6*a - 4. Let g be j(-7). Solve -g*u + y + 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1333 + -1333.4. Which is the fourth smallest value? (a) -5 (b) 0 (c) u (d) -247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-3)\/(-270)*12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-12)*-6*((-51300)\/(-350))\/19?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0 - 3\/7*u**3 + 0*u + 3\/7*u**2 - 3\/7*u**4 + 3\/7*u**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4068.6 rounded to 0 decimal places?\nAnswer: -4069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 35.16. Let j = 0.36 - q. Let f = j - 0.7. Which is the nearest to 1? (a) f (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10895 and 20933653?\nAnswer: 104668265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/10 + 489*o**2\/10 + 20542*o\/5 + 8022.\nAnswer: (o + 2)*(o + 105)*(o + 382)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 18*i - 19. Let m be j(-21). Let h = m + -2. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5639.27 and -0.2?\nAnswer: 5639.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3814223*j**2*o*y**2 + 2*j**2*y + j*o + 5*j + 150*o*y - y wrt y.\nAnswer: -7628446*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-12)*(14 + 1). Let a be (-222)\/7 - f\/35. Let k = a + 63\/2. Is k greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a microgram in nanograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/4)\/1 + 2*-1. Let d be (w + 4)*(-51)\/(-85). Solve d*n - 30 = 2*a + a, 5*n + 4*a = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 + 13*b**2 - 37*b - 74. Calculate c(-7).\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - x + x)*(-7*x + 2*x + 2*x)*(-2 - 2 + 3).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**3 + 5 + 11*m**3 - 259787*m**2 + 259781*m**2 to the form r*m + t*m**3 + y + l*m**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 359.327 - 683.353. Let j = u - -324. What is j rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 8. Let t be h(10). Let q be t\/12 + (-111)\/18. Let d(a) = -a + 2. Let o be d(4). Put o, -5, q in increasing order.\nAnswer: q, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2. Let l(m) = -m - 1. Let r be -1 + (1 - 0) - (-19)\/(-19). Let f(u) = r*q(u) - 2*l(u). Let a(n) = 12*n - 1 + 6 - 5. Calculate f(a(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**7\/42 + 2*r**3\/3 - 2*r. What is the second derivative of b(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/6)\/(57\/(-3))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 38?\nAnswer: -59\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from gzgzzzzzzgzz?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1109*y - 746. Give k(-2).\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-1)\/4)\/((-4)\/32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/411617 or 0?\nAnswer: 3\/411617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229833859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.3 - 46. Let g = 2.3 - v. What is the nearest to -0.1 in g, 5, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5878 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: b\"What is the mth term of -330820, -331084, -331524, -332140, -332932?\n\"Answer: -88*m**2 - 330732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14003 - 7028. Suppose 8*c - 6*c = 5*j - n, 0 = 5*j + 5*c - 7010. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 + 88*i**2 + 201*i + 4948. Give j(-29).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*m**5 - 33*m wrt m?\nAnswer: -880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -112, -251, -446, -697?\n\"Answer: -28*a**2 + a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 41251*s**3 + 82476*s**3 + 2*s**4 - 41250*s**3 to the form w*s**3 + x*s**4 + m*s**2 + h + a*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -11 (c) 0.23784\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1504.13 + 1504. Let v = 5.1 + -4.6. Sort y, v, -2\/7.\nAnswer: -2\/7, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1170 divided by -195.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3565501653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 19*n + 8. Let h(b) = 141246*b - 32. Let w be h(n). What is w rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-16 + 16)) + 19 - -5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 + 201.99995949. Round d to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 59760 = -4*i, -5*i + 3*f + 82653 = 7960. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/42, 25, 1\/7, -50?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*m + 24 = 1, -4*a + m = -24. Let v = -2 + 0. Let i(b) = b**2 + 2*b + 2. What is the remainder when a is divided by i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*g - 129 + 37 + 47 + 45 + 205*g**2.\nAnswer: 205*g**2 - 423*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 7*j - 12. Let x be d(9). Suppose 2*r + 16 = x*r. Solve -r*n = -n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0643 plus -7577?\nAnswer: -7576.9357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16661 (base 7) in base 6?\nAnswer: -34112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 136, 2, -144, -308, -496, -714, -968, -1264?\n\"Answer: -d**3 - 127*d + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0407 - 0.3407. Sort -6\/11, -1\/5, f.\nAnswer: -6\/11, f, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*p + r - 31, 2*r = 3*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3\/5 - 26*m**2\/5 + 4*m\/5 + 16\/5.\nAnswer: 2*(m - 4)*(m - 1)*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 44982 + 615664. List the prime factors of v.\nAnswer: 47189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(132))\/(-2*sqrt(300)) - (-1 + ((((-1 + sqrt(1584) - sqrt(1584)) + sqrt(1584))*-3)**2 - sqrt(1584))))*-4.\nAnswer: -4556*sqrt(11)\/5 + 57056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 10 = 4*y - a, y + 4*a + 21 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1.06, 6\/5, -2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:53 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -8*o - 8. What are the prime factors of 0 + o + 51 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28741*s**4 - 61*s + 5818628.\nAnswer: 114964*s**3 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-48)\/10) - -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3761165 and -3761161 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2254\/(-30429))\/(8\/(-9)))\/(4\/(-18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404341 (base 11) to base 15.\nAnswer: -cc891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/30)\/(-7)*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (-2*sqrt(396) - sqrt(396)))*2.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j - 269 = -5*s, 2*s - 3*j - 101 = 0. Suppose 4*t + 15 = -4*c + 91, 0 = -3*c - t + s. Solve 2*q - c = -7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 349 + 0*n - 1239 to the form k + l*n and give k.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75563693 + 117563693. Suppose -h + l = -4*h. What is h rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 + 8*h - 2. Let c be s(4). What is the units digit of (2\/(-4))\/(c\/96)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 523*y**5 - 2*y**4 + 2*y**3 - 4805*y**2.\nAnswer: 31380*y**2 - 48*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 96 = t, 3*o - 72 = -0*t - t. What is the highest common divisor of 42 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v = -16*v - 868. Let d be (-1)\/v + (-8)\/(-28). Factor 3\/4*i**2 + 1\/2*i + 0 + d*i**3.\nAnswer: i*(i + 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105150919, 210301835, 315452751?\nAnswer: 420603667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -188, -163, -126, -77, -16, 57?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-126*z + 56*z**2 + 126*z)*(4 - 4 - 3) to the form u + b*z**2 + d*z and give b.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25\/126 + 1\/18. Let n = 7 + -12. Let l = n - -5.3. What is the third biggest value in v, l, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*w + 20. Let m be (-4 - w)\/(2\/2). List the prime factors of 1*(m - 1) - -6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 143\/3. What is the closest to s in -0.4, -3, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 161503 - 52919 = 0. Solve 2747*q = v*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**3 - x**2\/2 - 2*x - 1. Let p = -2 + 4. What are the prime factors of f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*u**6 - 36*u**2 + 7*u**2 + 43*u**6 wrt u.\nAnswer: 3360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 1089?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 9*k + 197. Let i be v(19). Sort 5, -1, 2, i in increasing order.\nAnswer: -1, 2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((35640\/(-42))\/15)\/((-1)\/140).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.929731 - 0.377969. Let s = 17.3 + y. What is s rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87980 divided by 4\nAnswer: -21995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 58 = -22. Let z(f) = 4*f**3 + 12*f**2 + 4*f - 8. Let u(l) = 8*l**3 + 25*l**2 + 8*l - 18. Let x(s) = d*u(s) - 9*z(s). Determine m so that x(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 3:37 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377815 is divided by 128.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.62 + -1.62. Which is the closest to 2? (a) x (b) -4\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**7\/84 - b**5\/120 + 2*b**3\/3 + 3*b**2. Let i(p) be the first derivative of m(p). Find the second derivative of i(r) wrt r.\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 8:46 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:54 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 9*t**2 + 7*t - 3. Let l be u(-8). Let j = 37 - 17. Calculate the greatest common factor of l and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -342*z - 3758. Let c be i(-11). Suppose -196\/3*y**2 - 10\/3*y**c - 48 + 106\/3*y**3 - 152*y = 0. Calculate y.\nAnswer: -1, -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 62519*u**2 + 5*u. Let v be q(-9). Suppose 6*r = 3*r - v. Let j be (-2)\/(-8) - r\/8. Round j to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 25, -11 in descending order.\nAnswer: 77, 25, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, c: 1, m: 3, d: 2, k: 1, u: 5}. Give prob of sequence kd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49661112 is divided by 79.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = -2. Suppose -20*j - 11 = -191. Let s be (30\/27)\/(b + (-3)\/j). What is the closest to 2 in -0.2, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k - k)*(0 - 4 + 2) + 2*k - k - 2*k + (0 - 3 + 5 + 5 - 4 + 0 + (3 + 2 - 3)*(2 + 4 - 7) - 1 - 2 + 4)*(0*k + k + 0*k) - 18*k + 3*k + 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22768 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -10*u + 195. Suppose 0 = 31*r - 15*r - 96. Calculate the greatest common factor of r and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21012200021022 (base 3) to base 13\nAnswer: a42166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6671?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33089 - -198535\/6. Let k be 2 + (32\/10)\/(-2). What is the third smallest value in k, o, 9\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykam when four letters picked without replacement from iaaaaymaakkiilliklk.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 6*h**4 + 4*h**4 + (h**2 + 2*h**2 - h**2)*(-4 + h**2 + 4) + 0*h**4 - 4*h**4 + 5*h**4 - h**4 - 2*h**4 - 4*h**4 + 117*h - 10*h**4 - 117*h.\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2072721 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hftj when four letters picked without replacement from jffjfjhfffhhfftffjff?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = y, -4*y - 4 = -2*z + 6. Suppose -u + 9 = c, 3*u - 7 = z. Solve c*w = 3*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8826, -8885, -8968, -9087, -9254, -9481, -9780?\n\"Answer: -2*c**3 - 45*c - 8779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.669289um to millimeters.\nAnswer: 0.008669289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/15)\/(o*o**0))\/((o*o**(-2\/13)\/o)\/(o\/o**(5\/2))))**(1\/14) assuming o is positive.\nAnswer: o**(-863\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(80) + 3 + ((2 + 0 + sqrt(80) + sqrt(80))**2 - sqrt(80)).\nAnswer: 32*sqrt(5) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c**2 - c - 2 - c - c**2. Let v(t) = -3*t**2 - 7*t - 7. Let h(s) = 7*u(s) - 2*v(s). Let g(r) = -3*r**2. Calculate h(g(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-20) + 3\/6. What is the closest to 1 in w, -0.5, -4, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -62403*q + 62359*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r + 58*r = 4*z, -3*r = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 - 230376*v**2 + 230364*v + 460744 = 0. Calculate v.\nAnswer: -1, 2, 57593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9559 + -3662. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*-12*(-25*(-16)\/320)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 67 - 2936?\nAnswer: -2869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -6.8. Let a = 33.8 - z. Let d = a + -41.6. Round d to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 2 + sqrt(176) + -4 - (-2*1*sqrt(176) - sqrt(176) - sqrt(176))) + 1)**2.\nAnswer: -48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)\/(((p\/p**15)\/p*p)\/p))\/(p*p**(2\/13)*p\/(p*p*p**(-2\/41)\/p*p)) assuming p is positive.\nAnswer: p**(47855\/3198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = q - 345. Suppose 4*g = 8, q*d + 4*g = -2*d + 20. Solve 0 = -2*p - 2*k - 2, -p - d*k = -k + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-15)*6\/(-9). Let j = 13 - 1.4. Let i = j + -12. Which is the nearest to -0.1? (a) i (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -59*a**2 + 2045*a - 1332. Calculate x(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/6)\/(o\/o**(-2)*o)*(o**(2\/3))**(-6\/17))**(-33))**(-11\/8) assuming o is positive.\nAnswer: o**(-54329\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiiiiiwiwii. Give prob of picking 4 i.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, -3, 1\/3, -1\/6 in increasing order.\nAnswer: -3, -1\/6, 1\/3, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.07824 - 0.07824. Let k = 0.7 + -0.5. Which is the closest to w? (a) -5 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (0 - 1) - 3. Let o be (-1 + (-6)\/15)*g. Is 0 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5103 divided by -538\nAnswer: 5103\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbjzjzzz. What is prob of sequence jjb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 9) in base 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1601*b + 1482*b = -8449 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -18. Let t = -6.88 - p. Let v = t - -0.880061. What is v rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*s - 140 + 126, 3*h - 4*s - 26 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 4. Sort -0.1, 5, n in decreasing order.\nAnswer: 5, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*w + 4687 = -598*w + 197 - 424 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + (-3707)\/(-55) + 2\/20.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1394 - 1298 = 6*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/2709 and -32\/3045?\nAnswer: 392805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(4 - 6 + 3)*(-2 - 1 + 2)*(8*z**5 - 18*z**5 + 9*z**5 + (-2*z**2 - 2*z**2 + 5*z**2)*(-4*z**3 - z**3 + 2*z**3) - 2*z**5 - 2*z**3 + 2*z**3).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12151 - -20732. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -227958, -228009, -228054, -228093, -228126, -228153?\n\"Answer: 3*r**2 - 60*r - 227901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v + 47. Let i be w(0). Let f = i + -39. Let d = f + -5. Solve 12 = 3*u - 0*u + 3*g, g - 8 = -d*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116638519 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972758 greater than 1972759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 8. What is the remainder when p is divided by 58\/6 + (-24)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61215 is divided by 215?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 11*u**5\/5 - 5*u**3\/6 + 3*u**2\/2 + 21*u + 2. Find the second derivative of g(l) wrt l.\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l**(-9))*l)\/l)\/(l\/(l**5*l)))**(-9) assuming l is positive.\nAnswer: l**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*k - 5364 = 442*k + 3814 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14334 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5176923.\nAnswer: 3, 1725641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -8579.\nAnswer: -9\/8579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w + 6104 = -5295 - 201. Calculate the highest common factor of 7424 and w.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/12 - 13*j**4\/24 + 7*j**3\/6 - 75*j**2. Let z(y) = 3*y**2 + 7*y - 4. Calculate 6*q(c) + 11*z(c).\nAnswer: 3*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*k + 403*k + 430 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000130879 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2400 + 118?\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdmsmmdmsmmsmmlmsd. Give prob of picking 1 l, 2 m, and 1 d.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97 minus -0.45?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1473 + 185. Let j = 4719 - c. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3192053 is divided by 642?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnlb when four letters picked without replacement from lrbblnlbbnlnbnbrbn.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/6)\/((-14)\/(-252)). Let d be 1*-4*u\/12. Suppose 2*i - d = i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -4*s**3\/3 + 2*s - 6. Let p be n(3). What are the prime factors of -3 - -1 - (p - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20412 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*l - 63*l + 1694 - 62*l - 56*l.\nAnswer: -3*l + 1694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4*0 - 1. Let m(d) = 9*d**2 + d. Is 2 a factor of m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.3 - 8. Let l = 5 - 5.7. Let g = n + l. Which is the closest to 0? (a) g (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -51*y**3 - 2*y + 8. Let u(j) = -17*j**3 - j + 3. Determine -3*k(l) + 8*u(l).\nAnswer: 17*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z - u + 30 = 0, -3*z = -3*u. Suppose 2*b - 3*c - 54 = 0, -b - 116 = -z*b + 2*c. Calculate the remainder when b is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.527104 rounded to 1 dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4)*q*q\/(((q**5\/q)\/q*q)\/q))\/(q**2\/(q\/(q*q**7*q)))*(q*q**5*q*q)\/(q*q**7)*(q\/(q*q*q\/q**(4\/9)*q*q))\/q**(-6) assuming q is positive.\nAnswer: q**(-281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 63.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 50*v**2 - 736*v - 7379. Calculate s(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -655, -5042, -16857, -39784, -77507, -133710?\n\"Answer: -614*a**3 - 30*a**2 + a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**3 - 6*t**2 + 5*t + 356. Let g(o) = 10*o**3 - 6*o**2 + 6*o + 361. Determine 5*g(m) - 6*x(m).\nAnswer: 2*m**3 + 6*m**2 - 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-38))\/b*b\/(b\/(b\/b**(-41)))*(b\/(b**(2\/15)\/b)*b)**(-1\/12) assuming b is positive.\nAnswer: b**(14357\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-2))\/(3\/51). Let l(c) = -c**2 + 19*c - 20. Let n be l(j). Let s = n - 4. What is the least common multiple of 24 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1593 and 6844.\nAnswer: 184788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110000100100011010 (base 2) to base 8.\nAnswer: 2604432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45424 (b) 159 (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = w. Let r(x) = 40*x + 3. Let h(u) = 1. Let f(n) = w*h(n) + r(n). Is f(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 7*a**2 - 1058*a**3 + 7*a**2.\nAnswer: -1058*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4770 - -1?\nAnswer: -476c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 45 - 21 + h**3 - 22 - 3*h - 3*h**2 in the form k*h**3 + o + r*h + g*h**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.158 + 211\nAnswer: 210.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 5*q - 5*q)*(-1 + 236*q - 328*q + 246*q).\nAnswer: -154*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 - 4. Let l = -7.8 + 8. Which is the third smallest value? (a) l (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 5*b - 49, b + i - 17 = 0. Suppose -2*v + 5*m = 17, -3*v = -5*v - m + b. Let f(z) = 3*z**2 + 4*z - 1. Does 11 divide f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*4 - -2 - -3. Let v(i) = 168*i**3 + i**2 - i + 1. Let b be v(j). Let o = b + -9069. What is o rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 1 in decreasing order.\nAnswer: 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*v + 170*v - 300*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1602 - 1607. Which is the second biggest value? (a) -11\/3 (b) f (c) 2\/11 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 17879550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -94*d + 59. Let q be v(11). Which is the smallest value? (a) -3 (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.376, 5, -3, 4 in ascending order.\nAnswer: -3, 1.376, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2))**31)**(-18) assuming r is positive.\nAnswer: r**558","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 9*r**5 + 1387*r**4\/4 + 7403*r**3\/4 - 5429*r**2\/2 + 508*r = 0.\nAnswer: -127\/4, -8, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 - 73*b. Determine k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30489*x**3 - 10355*x**3 - 3381*x**3 - 39220*x**3.\nAnswer: -83445*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 730 and 1314.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747 is divided by 847.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 921 = 4*c, -c + 0*c + 2*x = -233. Let a be 4\/(-22) + 108\/c. Let b(y) = -y**2 - 11*y + 13. Let d be b(-12). Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 - a**4\/2 - 5*a**3\/3 + 9*a**2\/2 + 49*a. Let g be 58\/7 + 4\/(-14). What is the units digit of f(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 - 4444*m**2\/7 - 164000*m + 6966064.\nAnswer: -4*(m - 37)*(m + 574)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (50\/(-15))\/((-2)\/(-6)). Is -12 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1593216 from -55.27.\nAnswer: -1593271.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -2*y - 3*v, -5*y + 635 = -0*y + 5*v. Calculate the remainder when y is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30200*n**4 - 2955*n**3 - 24*n**2 + 1064511*n wrt n?\nAnswer: 724800*n - 17730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17286244 is divided by 23876?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 10*m + 74. Let b be g(-9). Suppose 2*u - b = -3*y, -4*u - 140 = -8*u + 4*y. Calculate the remainder when 202 is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 1651962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**2 - 3*h. Let f(i) = 8*i + 6. Suppose -18 = -17*z - z. Let c(a) = -a - 1. Let b(v) = z*f(v) + 6*c(v). Give g(b(s)).\nAnswer: 28*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3052 + 9955. Is 48 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 3*p + 5 + p**2 + 0*p. Let s be v(-6). Calculate the remainder when 39 is divided by s\/2*280\/(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -229, -5 in descending order.\nAnswer: 7, 4, -5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3259a2 (base 12) to base 16.\nAnswer: c2d4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22465 + -21482. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*w + 1314 = -122*w - 124*w. Solve w*r - 45 = 64*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 29426.\nAnswer: 264834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13115 is divided by 4261?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 1.58193\nAnswer: -41.13018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/504 and -1\/20.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 12*h - 23. Let v be k(-14). Solve -v = p + 2*j, 4*j + 13 + 18 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 27 = -0*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.04*0.2.\nAnswer: 1.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*q - 301*q + 54 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (27 - 11) + -17 - (2 - -7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -137, -130, -123, -116?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17515063499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3282175 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 282*b - 1140. What is u(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/11 (b) 1\/31 (c) 2\/7 (d) -3.2 (e) 0 (f) -1\/4 (g) 708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 17 = -7. Let r(y) = 23 - 4*y - 4 - 11 - c + 37*y**2. Let d be r(1). Solve 5*l - d = -3*n, l + 0*n = 2*n - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*(-810)\/2700\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4*((-22338)\/1314 - 2820\/(-166))\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 708*a - 752*a + 423280. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141041\/12 + 11747. Calculate the common denominator of 107\/18 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6671 - -6676. Which is the third smallest value? (a) -3\/2 (b) r (c) 3 (d) -0.167 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -588*j**2 + 337 wrt j?\nAnswer: -1176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 - 33\/((-660)\/(-160)). Let s(k) be the first derivative of 8\/3*k**3 + 23 - 8*k - 10*k**2 + p*k**4. Let s(y) = 0. What is y?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = 5*m, 4*m + 4*r + 13 = 1. Let f(u) = -7*u + 6 + 5*u**2 - 6*u**m + 0 + 4*u. Calculate f(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77.2 - 6.7. What is i rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from haahcj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1285, 1275, 1265, 1255?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-20\/3)*n*n)\/n**(-28))\/(n**(2\/11))**(-2\/75) assuming n is positive.\nAnswer: n**(6418\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u + 1. Let v(w) = 5*w**2 - 10*w**2 + 5*w**2 + w**3. Let l be 3 + 1 + -1*2. What is l*y(c) - v(c)?\nAnswer: c**3 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*i - i. Let y = 9 + i. Let a(g) = 47*g + 27. What is the hundreds digit of a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-3)*1 - -66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, -9.4, -217.9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -4*r**6\/15 + 4*r**5\/15 + 7*r**4\/12 + r**3\/3 - 29*r**2. Find f such that w(f) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92330352 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2319 <= -2314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*t - 3, 4*q + 0*t - t - 5 = 0. Solve -q*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -486\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175735570.\nAnswer: 2, 5, 37, 211, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 2028 = -2*o - 66*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12*(73\/(-5) + 15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wppfwpffsfppffsfs. What is prob of picking 3 p and 1 s?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.015 and -28946.\nAnswer: 434.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 307 - -108. What are the prime factors of y?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 17*n + 8. Let w be r(-4). Factor -w*z**3 + 0 - 2\/3*z - 8\/3*z**4 - 8\/3*z**2 - 2\/3*z**5.\nAnswer: -2*z*(z + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 38 - 31 + 72 + 2*s. Let r(f) = -f**2 + 2*f + 4. Let g(i) = -5*k(i) + 4*r(i). Let g(h) = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 y when three letters picked without replacement from yssysssy?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1672 and 178144.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i - 17*i - 40*i)*(2*i + 4*i - 7*i)*(0*i**3 + 3*i**3 - 5*i**3).\nAnswer: -140*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -2*f - 1\/3*f**3 - 1\/12*f**4 + 0 - 2*f**2. Suppose -4*y - 22 = -5*i, 5*i = 5*y + 18 + 7. Determine t(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b2a7 (base 13) to base 10.\nAnswer: -138886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153, -243, -285, -243, -81?\n\"Answer: 6*j**3 - 12*j**2 - 96*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/24)*t**(2\/21))\/(t**(-3))**(-2\/25) assuming t is positive.\nAnswer: t**(1139\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2. Let y(t) = -5*t - 5 - t + 5. Determine n(y(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.7. Let w = -5 + 5. Which is the closest to 2? (a) -1 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (465\/9)\/5*3 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.84759979 rounded to 2 decimal places?\nAnswer: -28.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-2)*y)*(((y**(1\/5)*y)\/y)\/y)\/y*y*y**(-10)*y\/(y*y\/(y*y**2\/y*y*y)*y) assuming y is positive.\nAnswer: y**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(48\/(-36)). Which is the second smallest value? (a) -0.5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 2. Let c = -1 - r. Let y be (2\/3)\/(6\/(-18)). Sort 1, y, c in descending order.\nAnswer: c, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 7*c + 4*c - 4*c + 27. Let n(p) = 4*p + 27. Let i(z) = -5*n(z) + 6*u(z). What is the first derivative of i(o) wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-6))\/((-91)\/52). Solve 3*r - 7 = g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 4*p)*(-72151 + 72151 - 404*p).\nAnswer: -1212*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-2) + -1)*-1. Let y(g) = g**2 - 11*g + 12. Let w be y(10). Factor -l*n**w + 2*n**4 + 2*n**2 - 2*n**2.\nAnswer: 2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1584 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -95*b**4\/4 + 12792*b**2. Let k(j) = -5*j**2. Give k(r(l)).\nAnswer: -1624500*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220112 (base 4) in base 10?\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1\/17, -0.4, 3 in descending order.\nAnswer: 21, 3, 1\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(9\/((-45)\/(-95))))\/((-459)\/102)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 517806907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618318411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309947847.\nAnswer: 3, 11, 9392359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(162)*2*2 - sqrt(162) - sqrt(162)))**2 + -2.\nAnswer: -180*sqrt(2) + 671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2605, 4023, 5455, 6907, 8385?\nAnswer: 9895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:32 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + z**2 - z. Let p(w) = 208*w**3 - 12*w**2 + 12*w. What is 12*m(l) + p(l)?\nAnswer: 232*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m**3 + 82*m**2 - 82*m**2)*(2*m + m + 0*m + (m - 2 + 2)*(-2 + 0 + 1) - m + 4*m - m + 7*m + 1 - 1 + 0*m - 3*m + 6*m).\nAnswer: 252*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.4, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 181361232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 571 - 578. Let b(c) = -2*c - 2. Let l(j) be the third derivative of j**4\/12 + j**3\/3 - j**2. Determine s*b(f) - 6*l(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:40 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -347*o + 180*o + 172*o. Let a(x) = -5*x**2 + 5. Let u(p) = 2*p**2 - 3. Let h(q) = 6*a(q) + 10*u(q). What is h(b(n))?\nAnswer: -250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.2858 decades in millennia?\nAnswer: 6.142858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 17. Let h(d) = -11*d + 35. Calculate 13*g(u) - 6*h(u).\nAnswer: u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-133))\/((-256)\/448)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7680 is divided by 43.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*g - 5037, -g - 9*j + 1685 = -4*j. Suppose -11*b = -6*b - g. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 32*g + 55. Suppose -18*q + 224 = -316. Let i be c(q). What is the nearest to -10 in 2, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 5*r**2 - 3. Let v be s(5). Let f = -540.7 + 541. Which is the second biggest value? (a) v (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7416, 7414, 7412, 7410, 7408?\nAnswer: 7406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -256588.739 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*d = -22, 3*d = 3*g + g - 4. Let j(q) = -3*q. What is the least common multiple of j(g) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120716675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 2. Is n\/4 + 2 - -38 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264639117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*p + 1 + 14, 3*w = 0. Let n = 14 - p. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 17*z**2 - 25*z - 8. What is t(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 22*m**2 + 0*m**5 + 3\/2*m**4 + 1\/6*m**3 + 0*m**6 - 9*m - 1\/21*m**7 + 3. Find the second derivative of j(a) wrt a.\nAnswer: -40*a**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 548811.93 - 6547.93. Let o = h + -542258.80062. Let u = 5.2 - o. Round u to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 5*i - 5*i**2 + 8*i + 12 + 5*i. Let p be f(-6). Solve r + r = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Let o = -4.5 + n. Let k = 10 + -9. What is the closest to 1 in -1\/4, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 7. Let u be p(-7). Differentiate u*a + 68*a**4 + 17 - 29*a**4 + 0*a with respect to a.\nAnswer: 156*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 1. Let q be y(3). Let d(z) = z + 9. Let w be d(q). Solve 0 = 5*p + w + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9 - 3.899. What is h rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0\/1)\/(-2). Let z be 4\/(-6) + 34\/6. Suppose f*m + 16 = 4*g - m, z*g = -3*m + 20. Calculate the least common multiple of g and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 690274137 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f + 47*f - 450 - 17*f - 14*f.\nAnswer: f - 450","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 5882?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -154, -152, -158, -178, -218, -284, -382, -518?\n\"Answer: -h**3 + 2*h**2 + 3*h - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 14*z - 3. Let d be h(-4). Let i = -61 - d. What is the remainder when 58 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a + 67. Let h be k(9). Suppose 0*i = i - 1055. Suppose 9*t - i = h*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 126 = 166. Let f(g) = -g**3 - 4*g**2 + 6*g + 1. Give f(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 35. What are the prime factors of p\/5 + 16\/5 + 157?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -4505800?\nAnswer: 49563800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -1 + -5*(-8)\/(-40). Suppose -g + 35 + 12 = k*v, -4*v + 3*g = -41. Solve v = -4*c + 34 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*n = -145*n - 51699. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/85, 3, -5\/18, 0, 13, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1716871251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = s - 47. Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1977, -2032, -2087, -2142, -2197?\n\"Answer: -55*h - 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3371490.9 to the nearest 1000.\nAnswer: 3371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -7*k + 45. Let q be k*(-4)\/(-10)*1. Let g = -4 + q. Solve -g*w + 6 = -4*y, -2*y - 17 = w + y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 10)\/((-2)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 + u - 7. Calculate o(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1136717, 1136686, 1136607, 1136456, 1136209?\nAnswer: 1135842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 62 + (-1 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -80312, -311, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/105 - 302\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2846, -2433, -1790, -917, 186?\n\"Answer: 115*a**2 + 68*a - 3029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(180) + 4 - (sqrt(180) + sqrt(180) + 1 + sqrt(180) + 2)*1)**2.\nAnswer: 12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 165?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Suppose 0 = -4*v, 2*t - 33 = 5*t - q*v. Which is greater: t or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69052 = -681*u + 37726 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1187.4 (c) -1\/5 (d) -1\/2 (e) -7\/2 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -5359*v**2\/2 - 6150*v + 5305. Differentiate z(n) with respect to n.\nAnswer: -5359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = 4*u, 3*z + 9 = 3*u - 0. Let j be z\/(-2) + (-1424)\/32. What is the tens digit of j\/3*(-15)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 3. Suppose -5*c - h + 30 = 8, 2*c + 5*h - 18 = 0. Let s(v) = v**2 - 3*v - 5. Let w be s(c). Let o be w\/2 - (-35)\/(-10). Determine z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c + 36. Let m be ((80\/3)\/5)\/(-12 - 342\/(-27)). Calculate p(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1727 divide 6726306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 6 (c) -146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3\/r**(2\/31)*(r*r*(r*r*r**1*r*r*r*r)\/r*r)\/r**(-3\/8) assuming r is positive.\nAnswer: r**(3053\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 9*r + 4. Let k be n(4). Suppose -x + 2*x - 27 = k. What is the greatest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -12. Put 3, -2, i in increasing order.\nAnswer: i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 0*q - 2 + 1\/16*q**4 + 1\/20*q**5 - 1\/8*q**2 - 1\/12*q**3. Find d such that o(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -983.095608 rounded to 1 decimal place?\nAnswer: -983.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 144929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 100*x - 56. Let g be f(-34). What is the common denominator of -61\/56 and (-3)\/(-16)*-71*1\/g?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9288 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 99898458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*d = -64, 28 = 2*i - 0*i + 4*d. Is i != 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 31. Suppose -2*q + 9793 = -5*p - 307, m*p = -4*q - 10100. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*(-15)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -218*m + 430. Let p be o(-6). What is the greatest common factor of 44 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24922 = -2*m - 4*a, m - 2*a - 11697 - 740 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - -12. List the prime factors of (z - (0 - 4)) + 0\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = s + 7, 2*s - a + 5 = 6*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 1\/5*z**5 + z + 0*z**2 + 1\/3*z**4 + 1\/6*z**3 + 2. Let w(i) be the first derivative of x(i). Determine k so that w(k) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11782836 (base 9) to base 3\nAnswer: -101212202221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let s(f) = -15*f - 38. Let w be s(-5). Let g be 17\/(-6) - w\/222. Which is bigger: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/4*(-36)\/3. Let g = 63 - f. Suppose -g = -3*r + 3. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(22))\/sqrt(11) + (1 + sqrt(288))**2 + -2*(sqrt(162) + (sqrt(162)*3 - sqrt(162))*-5).\nAnswer: 190*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -25.09. Let x = -0.17 + 0.075. Let t = x - g. What is t rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285968 - 4\nAnswer: -285972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124183 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -179*c + 3. Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:51 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t, -3*q = -0*q + t - 11. Let u = 122451 - 122451. Solve -c = -4*d - 2, 3*c - q*d - d - 6 = u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 757476\/7505 - 7546\/79. Let c = 4\/19 - y. Calculate the common denominator of -103\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 968 and 412768268?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812039 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 56. Let o = t + -15. What is the greatest common divisor of o and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 3:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*b + 1. What is the tens digit of (-1 - -25) + 0 + b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 23 = -15*n + 3*p, 8 = n - 5*p. What is the units digit of 28\/n + 1 - -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 2*a**3 + 0*a)*(0 + 103*a + 2 - 111*a) in the form o*a + v + s*a**2 + z*a**3 + y*a**4 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 15*o**2 - 3*o - 21. Let q(a) = a**3 - 9*a**2 - 11*a - 5. Let m be q(10). Calculate the remainder when y(m) is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154068.2 years to millennia.\nAnswer: 154.0682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**3 + 2*u**2 - 2*u + 1. Determine a(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + -1 + sqrt(275))*1 + 2)*-6 + -3 + -3)**2.\nAnswer: -360*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 - 75 = 28*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 - -0.46. Let w = v - -8.18. Let s = -11.51 + w. Round s to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 - 3*x - 4. Let j be n(0). Let w(c) = c**2 + 4*c - 2. Let z be w(-5). Put 0, z, j in descending order.\nAnswer: z, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -218 and 0.1.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 + 4*v**4\/3 + 18*v**3 - 8*v**2\/3 - 152*v\/3 - 32 = 0. Calculate v.\nAnswer: -4, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1969 + -1967. Suppose 0 = y + 3*u - 1 - 5, 5*y = -2*u + 17. Suppose -3*n - 195 = -y*c, c - 4*n + 75 = b*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 + 18944*p + 13812864\/7.\nAnswer: -2*(p - 66408)*(p + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -335.8336 rounded to 1 dp?\nAnswer: -335.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/68640 and 113\/638210.\nAnswer: 4380673440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 401728903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Let c = -4 + m. Let r = c + 4.28. What is r rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h - 2. Let o be y(-6). Let s be 240\/110 + (-4)\/o. Which is greater: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -s - 2*a, -5073*s = -5078*s + 4*a - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -629.1, 1\/4, 1\/3 in increasing order.\nAnswer: -629.1, -0.16, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/4 - 31*k**3\/3 + 12*k**2 - 47*k - 13. List the prime factors of m(-32).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276609071.\nAnswer: 439, 751, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171873847.\nAnswer: 379, 569, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 4. Let w be h(-3). Let r be (2\/2)\/(2\/4). Solve 4*l + r = -w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 2\/5, 3\/2, -2, 0.6409?\nAnswer: 0.6409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 2)*2\/(-4). Let o = t + 9. What is the greatest common factor of 45 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*v + 19419 + 35693 = -599*v - 453*v for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - (-420)\/48. Suppose -n + 2*v = -f, 2*n = -0*n + v + 6. Let u be 1\/n*(-5 - -5). Sort u, 14, -2 in decreasing order.\nAnswer: 14, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9)*(-7)\/(-28). Let b = -0.1 - -0.09. What is the closest to -1 in b, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1190685 - 527281. Suppose 6*i - 734080 = t. Let f = i + -523914. What is f rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 163, 252?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + (-95)\/25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244410)\/15246 + 16 + 84\/(-5082)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 67253 = 128847. What is g rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3)*(2 + -4). Suppose 3*k + 285 = 5*p, 5*p - 2*k = g*p + 172. What is the highest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*n = 2, -4*o + 163 = 3*n + 155. Solve 3*s - 10 = o*i, 38*s = 35*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*u + 349511, -5*v - 44*u + 41*u = -582529. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1211221013022?\nAnswer: -1211221013031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17*n + 121. Let x be t(-7). Put x, -5, 5, -4 in ascending order.\nAnswer: -5, -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/29, 219, 4, -0.2, -2\/11, 2?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 34060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*f - 27 - 25 + 16*f)*(-5*f + 5 - 5).\nAnswer: 30*f**2 + 260*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-118)\/8)\/(14\/8)*(-2751)\/((-92748)\/(-236)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i**2 - 2*i**3 + 2*i**2 + 1 - 8*i - 5*i**2. Suppose 5*z - 3*n = -54, 26 = -21*z + 18*z + 5*n. Is u(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/8)\/(-3))\/(11\/(-88)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 1 - 2*p - p**2 + 2*p + 2*p + 0 as o*p**3 + b*p**2 + v*p**4 + q + j*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 + 17*m - 1. Let v(p) = 5*p**3 - 165*p**2 + 7667*p - 21671. Let q(n) = -4*c(n) - v(n). Factor q(o).\nAnswer: -(o - 85)**2*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1079, 4079, 8983, 15791?\nAnswer: 24503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 11. Suppose -4*z + 4*j - 28 = 0, 3*z - z - 5*j = -11. Let b be c(z). Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*t = -0*t - 20 - 26, 66*y + 4*t - 125 = 61*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-860)\/(-688)*(-288)\/(-360)*(6\/92)\/(-3)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192230941.\nAnswer: 29, 191, 576319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25098?\nAnswer: 2, 3, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/((-1278)\/(-105) - 12).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 0.366 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/sqrt(225))\/(sqrt(192)\/sqrt(6)).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and 106.7?\nAnswer: 4054.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 0*h - 4*h. Let w(q) be the first derivative of 2*q**2 + 440. Calculate w(d(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 186*k**3 + 2 + 334*k**3 + 9*k - 36*k**2 - 208*k**3 = 0. Calculate k.\nAnswer: -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 less than 296208\/331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-9))\/(1\/6). Suppose 0 = -h - s*h + 24. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (355*r**2 + 29*r**2 + 53*r**2)*(2*r - r - 4*r)*(-3*r + 0*r + 0*r) to the form n*r**4 + l*r**2 + g + x*r**3 + t*r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**0)*d*d)**(5\/4)\/(d\/d**4)**7 assuming d is positive.\nAnswer: d**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 2*x**2 - 1. Let u be (-7)\/28*1*4. Let s be t(u). Suppose -5*d - 10 = 0, -4*m + 9 = -s*d - 5. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -2*c - 66. Calculate the remainder when 14 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/((-28)\/140).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160152, -319611, -478380, -636459?\nAnswer: -793848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.219 - -6.219. Which is the closest to 0.2? (a) 2\/7 (b) -1\/19 (c) k (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**39*y)\/(y*y*y\/(y*y**(-2\/25))) assuming y is positive.\nAnswer: y**(948\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) -1 (c) 2\/13 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560172612 by 140043153.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + 6.9. Let s(q) = 7*q**2 + 47*q - 12. Let v be s(-7). Which is the closest to v? (a) 0.9 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25756296 and 377256?\nAnswer: 283319256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 8*r = -s - r - 113, 4*s - 11*r + 205 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -369, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-30))\/(2\/(-3)). Let k = -1.4 - -1.31. Let f = k - 3.91. What is the closest to b in f, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 1.3. Let x = -2.5 + h. Let p = 3\/52 + 9\/13. Do p and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/(-18) + ((-72)\/162)\/(-2). Solve t*d - 2*u = -17, -8 = -0*d + 2*d + 2*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g**2 + g + 1. Let s be i(2). Suppose -5*r = -r - 16, -4*k + s*r = -556. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44\/4 - -2 - (-554736)\/104.\nAnswer: 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303697000 rounded to the nearest one million?\nAnswer: -304000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*-1*(-24)\/340. Do u and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a + 70?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, m: 1}. What is prob of picking 1 n and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gezgssi. What is prob of sequence sz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9 = -3*w - 2*n, 0 = 2*w - 4*n - 2. Solve 4*l - w = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 627 by 627.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10 - 2*o - o - 11*o + 7*o. Let n be a(-2). Suppose 4*h = n*g - 180, 5*g = 3*h + 228 - 9. What is the highest common factor of 63 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -18\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*i**2 - 5*i**2 + 3*i**2)*(3*i**2 - 3*i**2 + 2*i**2) in the form c*i + p*i**3 + y + s*i**4 + m*i**2 and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 + 4*h - 2. Let x(w) = -2*w**2 + 3*w - 3. Let d(y) = 3*n(y) - 4*x(y). Let j be d(3). Which is the closest to 3? (a) j (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.593277 rounded to 2 decimal places?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1641, 6718, 15179, 27024, 42253, 60866?\n\"Answer: 1692*g**2 + g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(5824\/156)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 860572 and 3212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/8)\/(-2)*-1)\/(7\/(-98))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*l - 15, -4 = 3*l - 13. Let g(b) = -2*b**3 - 206*b**2 + 6*b + 620. Calculate the smallest common multiple of -1*v*-11*1 and g(-103).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286931.484 milliseconds in weeks?\nAnswer: 0.00047442375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 8*w - 4. Let u(n) be the third derivative of -n**4\/24 - n**3\/6 + 7*n**2. Let f be u(3). Let v be l(f). Solve -2*k = 2*k - v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/152*4\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -36) + -1 + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/28 - -2*(-5)\/(-35)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/24 + 1\/(28\/(-23)). Which is smaller: -0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 0, 0.3, 35, -4\/45, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 5 + 5)*(0 + 3 - 2) + 3*m - 3*m - 4*m - 2*m + 1 - 1.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z = 0. Suppose 59 = 4*s + 5*y - 93, z = s - 2*y - 51. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -10\/7, 18 in descending order.\nAnswer: 18, -0.2, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:59 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 5)*1\/2. Let a be (s + 3)\/((-6)\/30). Let h = a + 37. What is the remainder when 63 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002121120010 (base 3) in base 13?\nAnswer: -458130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) + (-25)\/(-10). Suppose -5*q + a*m + 14 = 0, 2*m = -3*q - q - 2. Let i be q - -1 - (-578 + 0). Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5920*w + 5937*w = -238 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -5229, -2\/7, 19\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*y + 20, 2*y = -5*s - 8 - 2. What is the second biggest value in 2\/15, 17, s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = u - 15, 0*u - 5*m + 23 = u. Suppose 2 = u*o - 13. Suppose -o*g + 2*g = 0. Let l(p) = p**3 - p**2 - p + 4. Determine l(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 5*t**6 - t**4\/4 - 44*t**3\/3 - 4*t - 388. What is the third derivative of c(v) wrt v?\nAnswer: 1800*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 685 = 4*b, 3*h - 4*b = -h + 512. Let r = -108 + h. Calculate the smallest common multiple of 8 and r.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-6) + (-28)\/((-560)\/510). Suppose -3*j + 2078 = 5*c, c - 696 = -j - 0*c. Suppose j = 24*f - i*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 14) to base 9.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(2\/17)\/h)))**(-11)*(h*h**9*h)**(-33))**(8\/9) assuming h is positive.\nAnswer: h**(-16016\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 12. Let v be z(-12). Suppose -3*j + 2*j = v. List the prime factors of 6 + 4\/(-8)*j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h - 5. Let k(g) = 16*g + 7. Let m = -16 + 44. Suppose y - m = -3*y. What is y*u(l) + 5*k(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1959 + 11659\/6. Let y be 1\/(-2)*2256\/14. Let m = y - -9557\/126. What is the common denominator of u and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 32, 2, -4, -1, 5, -806 in descending order.\nAnswer: 32, 5, 2, -1, -4, -5, -806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*d**3 + 37*d**3 + 1 - d - 2*d**2 - 12*d**3 to the form t*d**2 + g*d**3 + l*d + c and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l**2 + 2*l - 3. Let m be n(3). Suppose 9 = 3*i - b, 0 = 3*i + i + 3*b - 12. Is (m + 9)*47\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4371)\/90)\/(-47) - -10*1\/(-12)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 34*a**2 - 3*a + 3. Let n(i) = -170*i**2 + 17*i - 16. Determine 2*n(l) + 11*y(l).\nAnswer: 34*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -460 at most as big as -459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/42 - -1)*7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*k*s**4 - 46*k*s - 1236*k wrt s?\nAnswer: 56*k*s**3 - 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(242))**2*1 - (sqrt(242) + (sqrt(242)*5*6 - sqrt(242))) - ((sqrt(242) + -2)*3 - ((2 + sqrt(242))**2 + -3)).\nAnswer: -319*sqrt(2) + 2427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*u = -4, -5*i + 2*u = -u + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 41*y - 29. Let a(t) = 105*t - 57. Let g(k) = -2*a(k) + 5*s(k). Give g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 410 (b) -5\/4 (c) -2\/13 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16488.1 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -278358.24 plus -1871.4596?\nAnswer: -280229.6996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 3)*(24*d + 45*d + 32*d)*(0 + 0 - 1)*(-d - d + 10*d) in the form y + o*d + n*d**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 46 at least 3131837.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 37 - 7. What is the remainder when 59 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 30*x - 7 - 3*x - 11*x - 7*x - x**2. Give o(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - 21*s + 1. Determine o(-8).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3409 - 30649\/9. What is the common denominator of -13\/32 and o?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 n, and 1 y when four letters picked without replacement from nninynnnnynonnxi.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2844 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50438 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 - -3 - (128 - 134)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - j - 3*j)*(-2*j**3 + j - j) + 537*j**4 - 492*j**4 + 0*j**3 - 4*j**3 to s*j**3 + g + p*j**2 + m*j + q*j**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2))\/z)\/(z*z**(4\/3)))\/((z*(z\/(z\/(z*z**1)))\/z)\/(z**(-3\/5)\/z))*(z\/(z\/(z**1\/z*z)))\/z*z**2*(z**(-1)*z)**(17\/2) assuming z is positive.\nAnswer: z**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499 + 213 = -151*d + 469 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -0.4, 10.26 in decreasing order.\nAnswer: 10.26, -1\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 4*g + 3*g)*(g + 3*g + 2*g)*(6*g**2 - 2*g**2 - 13*g**2) in the form o*g**2 + m*g**4 + i*g**3 + r*g + w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 2*n - 60 - 55.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - n + 5*n**3 + 2*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**5 + 40*s**4*z**2 + 3*s**2*z + 4*z**2 wrt s.\nAnswer: -120*s**2 + 960*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 - 9*m**3 + 40*m**3 + 34*m**3.\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2296727 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 7 - 13 + 640*n + 14 in the form i + h*n and give h.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 23 = -5*o. Let k = 2 - 1.8. Let w = -2.5 - -2. Sort k, o, w in increasing order.\nAnswer: w, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351 divided by 3\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 7*b**3 + 27*b**2 + 9*b**3 - 10*b**2.\nAnswer: 2*b**3 + 22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285889139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 4, n: 1, z: 1, h: 2}. What is prob of picking 1 y, 1 g, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r - 5. Let h be i(-6). Suppose -28*d + 2 = -26*d. Sort d, h, 3 in increasing order.\nAnswer: h, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 3. Let t be j(5). Let p be (2 - t) + 0 + 4. Suppose 0 = -0*r + p*r - 8. Calculate the smallest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8643503 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 - t**2 + 2*t - 2. Let n(j) = 4*j**3 - 23*j + 3. Let y(r) = -r**3 - r**2 - 4*r - 1. Let q(v) = -n(v) + 4*y(v). Calculate 7*p(s) - 2*q(s).\nAnswer: -5*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 800923.51 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-693)\/162)*(-448)\/(-320).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -39. What is the third smallest value in 0.2, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 + w**2 - w**2)*(-3 + 1 + 3)*(-160*w - 66*w - 72*w) as k + v*w**2 + r*w**3 + b*w and give r.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9129 + 9722. Suppose 5*l - 56 = -3*i, 0*l = -4*l - 8. What is the remainder when q is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -484\/3*f + 0 + 7*f**3 - 66*f**2 - 1\/6*f**4.\nAnswer: -f*(f - 22)**2*(f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*h + 19*h + 52. Let b = -5 + 0. Sort b, 4\/7, h in descending order.\nAnswer: h, 4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2. Let z(t) = -494*t**2. Determine z(g(h)).\nAnswer: -1976*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, -907, -1\/13, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -325662.4 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697422 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179328273*j**2 + 317617333*j.\nAnswer: 358656546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 7 + 25. Let z be 3 + ((-72195)\/24 - 1). Let h = -3013 - z. Calculate the common denominator of h and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h + 60. Let l be r(5). Sort l, -1, 43 in ascending order.\nAnswer: l, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -1\/8, 9\/86, 2\/7 in increasing order.\nAnswer: -1\/8, 9\/86, 2\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 19 = -10*u. Let o(r) = -80 + 4*r + 73 - u*r. What is o(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 173? (a) 0.2 (b) 0.6 (c) -0.3 (d) 0.62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2) + 10\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3297*-3745\nAnswer: 12347265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 10:01 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/550 and -37\/550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*k - 24. Suppose 864 = k*j + g, 2*j = -9*g + 7*g + 864. Is j a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*y**4 - 13*y**4 + 0*y**4 - 3*y**3 - 2*y**4 + 3*y**3 + (-5 + 3 + 1)*(3*y**4 - y**4 - 3*y**4) - y + y**4 + y + 4*y**3 - 2*y**4 - 4*y**3.\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 120 = 13*f. Calculate the greatest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 4*r**2 - 7*r - 7. Let o(m) = -m**3 - 2*m**2 - 3*m - 3. Give 7*o(l) - 3*z(l).\nAnswer: -l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 185010000 to the nearest one million.\nAnswer: 185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 302 = -4*b - 54, p - 37 = -5*b. Suppose -g + 3*g - 46 = 3*l, -2*l = -3*g + 64. What is the remainder when p is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -858, -3112, -7544, -14880?\n\"Answer: -121*u**3 + 45*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 84 = 2*g, 0 = 5*w - 4*g - 102 + 3. Let h = -52 + 31. Let v = h + w. Solve 3*n - 5*n - v = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 88640803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 5*r - 9 = 0, 2*z - 5*r + 11 = 0. Suppose -z*v - 5*t + 125 = 0, 7*v - 95 = 5*v + 5*t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 94. Let u = -13.18 + m. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a*s*w**3 + 14*a*s*w + 7*a*w - 4497*s*w**3 + s*w**2 wrt a.\nAnswer: -10*s*w**3 + 14*s*w + 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166057041 - -115588442. Let f = z + 27768599. What is f rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 210780 = -c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 24*a**2 - 2. Is o(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b5 (base 12) to base 5\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(-3)*m)*m)**(1\/14))**(-7)*(m\/(m*m**(-2\/5)*m))**(31\/3)\/((m*m\/((m**(2\/15)*m*m)\/m))\/(m*m*m*m*m**(2\/3))) assuming m is positive.\nAnswer: m**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 7, 532781 in ascending order.\nAnswer: 7, 30, 532781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02458562 rounded to five dps?\nAnswer: 0.02459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260598)\/2535 - (-767)\/65.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*j - 6*j**2 - 4340*j + 4*j**2 + 2*j**3 - 3286*j.\nAnswer: 2*j**3 - 2*j**2 - 6783*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**8\/2520 - n**6\/80 - n**5\/60 - 7*n**2. Let s(o) be the third derivative of y(o). Find the first derivative of s(v) wrt v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309263 and 912.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -11504?\nAnswer: -1150a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 34*p - 552. Calculate the remainder when v(18) is divided by 0*(-3)\/9 + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -2.2. Which is the third smallest value? (a) -0.5 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1365 + -1330. Let p(z) = z**3 - 2*z**2 - 8*z + 5. What is the remainder when p(6) is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -409?\nAnswer: -1636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11495 (base 14) to base 16.\nAnswer: -a45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -5*y + 9*y. Suppose 0 = 5*m + 2*o + 2*o + y, 5*m = o - 11. Let q = m + 34. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4299577095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -652*t**3\/3 + t - 27. Let q(f) = 2*f. Calculate g(q(v)).\nAnswer: -2608*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9531 is divided by 531?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, 3, 2, -32, 15, -2 in decreasing order.\nAnswer: 18, 15, 3, 2, 0, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Let k(r) = -6*r. Let m(d) be the third derivative of -d**4\/12 + 4*d**2. What is y*k(c) - 8*m(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -118*f + 497. Give h(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 3*a**3 - 38 - 2*a**2 + a**2 + 46 + a as l + z*a + n*a**2 + k*a**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.309751 litres in millilitres?\nAnswer: 9309.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 11*d - 47. What is f(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/165 and -83\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2636169*x**3 - 3628112*x**2?\nAnswer: 15817014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029123665 rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*s + 1 + 2*s**2 + 1 to the form r + h*s**2 + t*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68122611 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2*x**3 + 3*x**2\/2 + 4*x - 1. Let r be y(-3). Suppose r = -3*l + 262. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m - 2. Let j be n(-2). Let p be j - (-4)\/(1 - 3). Suppose -z + 60 = p*z. What is the lowest common multiple of z and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 320 - 68. Suppose 10*b - 9*b - k = 0. What is the units digit of (-1 - (-25)\/20)*b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 144?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/125 or 226?\nAnswer: -8\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 363350325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 4*n + 3*n**3 - 211*n**2 - 226*n**2 + 154*n**2 as a + s*n**2 + y*n**3 + l*n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/5 + 6 + -3. What is the nearest to -1 in -0.5, k, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9744*u*x**3 + 983*u - x**4 - 49 wrt x?\nAnswer: -29232*u*x**2 - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 3, g: 1, y: 5, o: 1}. Give prob of sequence bbgo.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 - 2*h**3 + 2*h**2 + 7*h + 68. What is d(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from {t: 5, o: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 9. Let d be l(0). Let o = 13 + d. Let f = -1 - -1. Solve f = r - 0*j + j + 6, 0 = o*r + 3*j + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven thirds of a day in minutes?\nAnswer: 32160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20422004 is divided by 155.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 9 + 3*o**3 + 25.\nAnswer: o**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 259054*x\/3 - 431740.\nAnswer: -2*(x - 129522)*(x - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 2*j - 1. Let f be n(0). Sort 1, f, 3 in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**(3\/43)*w**6\/(w*w**(-2\/11)))**(-21) assuming w is positive.\nAnswer: w**(-258741\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -31*d**4\/24 - 170*d**2. Let n(v) = -168*v. Determine i(n(s)).\nAnswer: 5208*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 664 divide 63683794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2994)\/12*80)\/((-2)\/500). What is d rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 2*p**2 + p + 8. Let q be x(-2). What is l in -q - 3\/2*l**4 + 9*l**3 - 39\/2*l**2 + 18*l = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let m be y(2). Let r be (m\/(-3) + 0)*3. Let n(h) = -h**3 - h**2 + 9*h + 8. Is 4 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33178?\nAnswer: 2, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 10. Let n(q) = -q + 3. Give 11*n(f) + 4*z(f).\nAnswer: -3*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 1. Let o(r) = -9*r**3 + 2*r**2 + 7. Calculate 4*f(v) + o(v).\nAnswer: -5*v**3 + 2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1055 + 1052. Let x(s) = s**2 - 1. Let q(o) = -o**3 + 2*o**2 + 4*o. Let r(i) = q(i) - 3*x(i). What is the remainder when r(z) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, t: 2, r: 5, o: 7}. What is prob of picking 1 n and 1 o?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*j**3 + j**2 - 1533*j - 1.\nAnswer: 366*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1\/3, -1, -1\/4, 2, 5, 68?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167 - -266. Let s = 14 - 3. Suppose 0 = 4*z - 25 - s. What is the highest common factor of a and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145792373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 1100146*o - 1100193*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8175471, 8175479, 8175483, 8175477, 8175455, 8175411, 8175339, 8175233?\n\"Answer: -v**3 + 4*v**2 + 3*v + 8175465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -474, -472, -470, -468, -466?\n\"Answer: 2*t - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 20*o**4 - 2*o**2 - 2*o + 29. Let q(n) = -100*n**4 + 11*n**2 + 11*n - 144. Let l(k) = 2*q(k) + 11*y(k). Find the first derivative of l(s) wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 184 - 76782?\nAnswer: -76598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -5*r**3\/6 + 24*r. Let t(k) = k + 4. Let j(x) = -2*x - 3. Let l(f) = 4*j(f) + 3*t(f). What is o(l(w))?\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42854113451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470 - 599 = 115*t + 791 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -202 divided by 6\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 + 158*m**2 - 56*m + 208. What is n(-32)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*m - i - 4*i, -2 = 2*m - 2*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, i: 5, l: 2}. Give prob of sequence iiii.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q - 7225 = 19*q. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000594969 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggggsjsagjjbbjjsgg. Give prob of sequence bg.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.361041 millennia?\nAnswer: 8361.041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 2*a + 0 + 0*a**3 + 0*a**2 - 1\/6*a**4. Let y(v) = -165*v**2. Give y(j(w)).\nAnswer: -660*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - 6*a + 6. Let f(x) = x**2 - 1. Let j(r) = f(r) + m(r). Let u be j(1). Solve -5*z + 3*g = -2, 0 = -4*z - 2*g + 1 + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -37*b**2 - b + 19. Let r(x) = -x. Determine s(r(a)).\nAnswer: -37*a**2 + a + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from iofffwwjiw.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 102321*k**2 - 872414424*k - 872516748 = 0.\nAnswer: -1, 17054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + 5 - 23*g - 120*g.\nAnswer: -143*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-8.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.01, 1, -11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + (-60)\/(-16 - -12). Solve 0*s**2 - 1\/2*s + 1\/2*s**c + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -18, -39?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.6 - 48. Sort -2\/11, d, -0.5, 0.3 in ascending order.\nAnswer: -0.5, d, -2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o + 12. Let v be 1\/2 + 14075\/38. Let t = 371 - v. Sort 0, t, o.\nAnswer: o, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 - 1 = 0. Let z be j + (12\/(-4) - -2). Calculate the common denominator of (-3)\/z + 582\/(-48) and 67\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3*y + 14*o**3 + 2*o**2*y**2 + 9*o*y**2 wrt y.\nAnswer: o**3 + 4*o**2*y + 18*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13503598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 244291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 83*f**2 - 13*f - 1160. Give u(-83).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7332 + 7321. What is the closest to n in 1, -0.3, 0.35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100 + 11010?\nAnswer: 111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uhhuuuuuuuuhuuuhuuu.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c - 11. Let r(k) = 1 + 5 - 15*k + 5*k + 5*k. Give 4*f(m) + 7*r(m).\nAnswer: 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, y: 1, i: 6}. What is prob of picking 4 j?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -41011*s**2. Let h(f) = -f**2. Determine h(a(d)).\nAnswer: -1681902121*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3280)\/30)\/(-41)*6*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44)\/55)\/(2\/(23040\/(-3))). Let j = q + -1961. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-198)\/30 + 7)\/(-4 - -5). Factor -2\/5*l**2 - g*l + 4\/5.\nAnswer: -2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/5 - 4*u**3\/5 - 5. What is y in b(y) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4470*t - 1489*t - 1488*t - 1488*t. Let o(p) = 115*p**2 - 3. Determine o(c(i)).\nAnswer: 2875*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(170)\/(sqrt(30)\/sqrt(3)) - (sqrt(272) + 1 + sqrt(136)\/(sqrt(8)*1))) + -4.\nAnswer: -4*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1782*r**3 - 2745*r**3 + 1001*r**3.\nAnswer: -3526*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*d + 1873 + 4847. Solve -9*h + 6 = d for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -11644.\nAnswer: -23288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30676.3827 rounded to the nearest 100?\nAnswer: -30700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (85054\/774 + -30)\/(((-40)\/(-3))\/(-2))?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*z - 5*w, 25*w = 3*z + 27*w + 5. Sort 10, z, 11 in decreasing order.\nAnswer: 11, 10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 8, a: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 535*q - 4808. Calculate x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -0.8.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose 0 = -t + z*t. Suppose 4*i + 4*a = 80, t = -0*i + 2*i + a - 44. Solve -i = x - 2*x + 5*q, 3*x - 2*q = 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -2*t + 93. Let y(m) = 7*m**2 + 2*m**2 - 11*m**t. Let p(l) = -5*l**2 + 1. Determine y(p(s)).\nAnswer: -50*s**4 + 20*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/4)\/((-102)\/(-96)). Put n, -1\/5, -3\/4 in increasing order.\nAnswer: -3\/4, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*g + 7 - 58*g - 7 + 83*g.\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*h + 217*h - 1812 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1.195 in increasing order.\nAnswer: -1.195, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (8 + (-2 - 17) + (-70 - -67))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 179069003 divided by 4\nAnswer: 179069003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -72. Let q = 36 + g. Let u = 4.2 - -0.8. What is the nearest to -2\/5 in u, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 63 + 98. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677655509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*w + 31238, 4*a - 7*w = 41530 - 10337. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3 - 631834*d**2 - 94730398*d - 94098566 = 0.\nAnswer: -315767, -149, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -166, 317444.\nAnswer: -166, 4, 317444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:01 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*g**4 + 111*g wrt g.\nAnswer: -1596*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.076 + -0.076. Let f = -31.000091 + m. What is f rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -3*z, -3*x + 3 = -0. Suppose -3*m - 56 = -7*m. Suppose z*s - 10 = m. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457.977 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3990, -26562, -64182, -116850?\nAnswer: -184566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.151, -5, -38.6, -3 in decreasing order.\nAnswer: -0.151, -3, -5, -38.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-4) - 1*-74. Suppose k = -3*d + 37, -k + q = 5*d + 3*k. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5164 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 487 + -488. Let s(h) be the third derivative of 3*h**6\/40 - h**5\/60 - h**4\/24 + 12*h**2. What is s(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 2404\nAnswer: 3\/1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-11) + ((-4)\/6)\/((-154)\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/4 of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*m - 4, -l + 0*m = -m - 12. Let n(x) = l + 8*x - 4*x - 18. Let a(c) = -5*c + 3. Determine -3*a(h) - 4*n(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 6879091.\nAnswer: -687909.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - 2 - (-343 - -339)) + (2 - -9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 - -10?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.178, -2\/11 in descending order.\nAnswer: 6, 0.178, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8006 (b) -3\/5 (c) 0.093 (d) -5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 3*x. Let z be k(4). Let a be (-160)\/24*30\/z. Calculate the highest common factor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10248*u + 307438. Give d(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 80 + 2*w**2 - 89 + 0*w**2.\nAnswer: 2*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2541 and 177446379.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 13*w**2 - 6*w - 32. Let t be d(-13). Let n = t + -44. Suppose 306 = 4*h + n*h. Calculate the remainder when h is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211\/3376 - 17\/784.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 2*w + 1. Let r be v(4). Let z = r - 42. Is -0.1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/93872 and -87\/1384612?\nAnswer: 5538448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3029*b - 3662075 = -31196*b for b.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - b + 3 + 5*b + (-2 - 1 + 1)*(0 + 0 - 2*b) - 3 - b + 3 to the form f*b + z and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 11 = -17. Solve -d*q + 3 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 - 267\/2. Which is the closest to 1? (a) n (b) -2\/3 (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 - 367. Let t = -1.9 + -10.1. Let i = 16 + t. What is the biggest value in i, 1, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/28 and 51\/20157356.\nAnswer: 141101492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 747 + -504. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 + 93. Let s = n - -51. Let c(o) = 2 + 3 + o**2 - 4*o - 1. Let t(i) = 2*i**2 - 9*i + 9. Give s*c(m) - 6*t(m).\nAnswer: m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 12:08 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 2, v: 3, z: 4, f: 1}. What is prob of picking 1 v and 1 c?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*o - o, 2*o = -4*d. Let z = d - -7. Suppose -2*y - 2*y + 18 = 3*c, 0 = -5*c + z*y + 65. Calculate the least common multiple of 6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.605*288.4.\nAnswer: -1328.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/6 - 31*c**2 - 84. Let h(f) be the second derivative of x(f). Let z(b) = -2*b. Determine h(z(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, 4524 in descending order.\nAnswer: 4524, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 1497 = 25*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 13*k - 1. Let i be ((-16)\/6)\/(8\/(-12)). Let d be v(i). Let n be (1 + 10\/(-6))*-6. Solve 6 + 15 = d*j - 4*h, 5*j = -n*h + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h + 136. Let c = h + 48. Let m(y) = -3*y. Calculate the smallest common multiple of c and m(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-3)*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllsllolluuoszluzl. Give prob of picking 1 u and 1 l.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*n - 2*r + 4 = 112*n, 3*r = -3*n + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**2 + 3*y**2 - 3*y**3 + 80 - 82 - y**4 + 5*y**3 as o*y**4 + u*y**3 + a + g*y + k*y**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37124277, 37124279, 37124281?\n\"Answer: 2*r + 37124275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 + 3. Let q be j(3). Solve t = q*h + 9, -5*h - 19 = -t - 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 8 - -4 - 3. Suppose -x*i = -32 + 2. Which is the biggest value? (a) -4 (b) 0.3 (c) i (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194996 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33418205?\nAnswer: 5, 6683641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (68 - 34) + -44.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189713628 by -5.\nAnswer: -189713628\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -655*l**3 + 17*l**2 + 10*l - 9. What is the tens digit of i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -9*s + 26*s + 92 - 58, 2 = -s - x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + -8. Let f = -13 - x. Let g = 1.9 - 1.5. Put g, f, 1\/4 in descending order.\nAnswer: f, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600755?\nAnswer: 5, 53, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5 + 2 - 138*k - 5 - 1. Let x(r) = -2*r**2 + 3*r - 2. Let n be x(1). Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**2 + 114*d**2 - 26*d**2 - 36*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*c - 59*c = -149664 - 123676. List the prime factors of c.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1125\/304 (b) 1\/12 (c) 3 (d) 2\/9 (e) -1\/4 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 8179\nAnswer: -2\/8179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + 0.13. Let j = 0.98 + g. Let h = j + -1. Which is the third smallest value? (a) h (b) 2\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*q**5 + (21*q - 15*q - 17*q)*(16*q - 20*q - 10*q)*(3 - 3 - 2*q**3).\nAnswer: -305*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.1 + -159.9. Let g = 182 + k. What is the nearest to -1\/8 in -3, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2 - 2 + 4*h. Let o(y) = 9*y + 14. Let s(n) = -5*n - 8. Let f(g) = -g**2 + g - 4. Let i be f(0). Let q(k) = i*o(k) - 7*s(k). Calculate d(q(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 2*l**4\/3 + l**3\/6 + l**2\/2 + 9*l. Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000802 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and -68.\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010247131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.1 and -1.2?\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**1)**47\/(((y*y**(-12\/7))\/y)\/y*y**(-5)))**(4\/23) assuming y is positive.\nAnswer: y**(216\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/42)\/((-80)\/(-120))*-1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81456, -81449, -81438, -81423, -81404, -81381, -81354?\nAnswer: -81323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 16*x - 252. Let i = 42 - 108. Let f be 6\/(-21) - i\/(-14). Sort f, 7, 0, x in ascending order.\nAnswer: f, 0, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**6\/12 - i**5\/60 - 5*i**4\/24 - 3*i**3\/2 - i**2. Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**5\/9 - 23*c**4\/9 + 14*c**3\/3 + 2*c**2\/9 - 43*c\/9 + 7\/3 = 0.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/((-308)\/(-121)))\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11514 and 25149?\nAnswer: 955662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, -1, -10, -21, -34?\n\"Answer: -u**2 - 4*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 16*f - 18. Let j be r(-14). Solve -3 = -3*y - 3*t, -2*t + j = y + 2*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5542.6 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17166414, 17166412, 17166410, 17166408?\nAnswer: 17166406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 l when four letters picked without replacement from {l: 6, q: 7, h: 6}?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26410.345 rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816 = -73*q - 88*q + 20*q - 594 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 873 - 865. Solve 0 = -2*z - a*t + 4*t + 4, -z = t - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 + 462715*b\/4.\nAnswer: b*(3*b + 462715)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1798\/155 - (-4)\/10. What is the hundreds digit of (-1864)\/(-12) - (-4)\/(-1*s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186450 and 64185.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/25767 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - y. Let q be w(-1). Let c = 4 - q. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-183 + 69 - -32) + 142?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, 34, 108, 206?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z = -49*z + 6, 4*z = -y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7525953.\nAnswer: 3, 30971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 403, 656, 963, 1342?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -84, -288, -686, -1344, -2328?\n\"Answer: -11*v**3 + 2*v**2 - 5*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283085 (base 14) in base 16?\nAnswer: 153add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 42 = -4*z. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -14219, 1\/5, 4\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 8*m**2 + 20*m - 12. Let s be d(6). Suppose 0 = -32*v - 36 + s. Let x be (-2)\/7 - 46\/(-14). Solve v = y - 3*r + 13, 2*r + 0*r = x*y + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217975 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2810829 divided by 133849.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 + 2*l - 3. Let q be 1\/3 - (-72)\/27. Let y be 8\/q - 4\/6. Determine j(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((-3*(sqrt(567) + sqrt(567)*1 + 1))**2 - ((sqrt(567) + 0 + 3 - sqrt(567)) + sqrt(567) + 0)).\nAnswer: -20422 - 315*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53547 rounded to two dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/15*(-12)\/(-18). Let t = 48 - 47.9. Which is the nearest to t? (a) o (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1573*w**3 + 7865*w**2 - 2*w - 13. Give u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -149935?\nAnswer: 17\/29987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589, 2360, 5321, 9478, 14837, 21404?\nAnswer: 29185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:05 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2960924 times -36\nAnswer: -106593264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(((-8)\/(-6))\/((-2)\/3)). Suppose 4*t + 4 = -c - v*t, c - 5*t = 32. Suppose w - 4*x - 131 = -0*x, -c = 3*x. What are the prime factors of w?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {g: 5, h: 2, u: 2, d: 1, z: 2, f: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 43341 and 43337 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 13*a**2 + 42. Let f(l) = -13*l**2 - 41. Let n(z) = -2*d(z) - 3*f(z). What is the derivative of n(m) wrt m?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 3 = 3*p - 5*y, -p + 18*y - 14*y - 61 = -42 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42*6087\nAnswer: 255654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -4.93. Let j = -5692 - -17078\/3. What is the closest to 1 in f, j, 0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 50, 73, 96?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(4\/9))**(-37))**(-2\/93))**(3\/7) assuming y is positive.\nAnswer: y**(370\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/5*(1*2)\/((-384)\/192).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 2. Let y be (-12)\/(-7) + 2\/7. Suppose -4*z + 2*x + 3*x + 1 = 0, 0 = -4*z + 3*x - 1. Let b(g) = -g. Calculate y*b(i) + z*w(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5 - 261*o**4 - 267*o**3 + 261*o**2 + 264*o = 0. What is o?\nAnswer: -1, 0, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = 0, r - 7 = -4*l + 13. What is the closest to 0 in r, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**3 + 2*d**2 - 3*d - 2. Let c be q(-2). What is the greatest common factor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -417944*x. Let f(n) = -n + 30. What is f(w(r))?\nAnswer: 417944*r + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*r**5 - 16*r**4 - 22*r**3\/3 - 2*r**2\/3.\nAnswer: 2*r**2*(r - 1)*(6*r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -57, -79, -117, -177, -265?\n\"Answer: -k**3 + k**2 - 8*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 4*a**2 + a + 5. Let w be u(-4). Let i = w - 5. Is i less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/7 - (-108)\/28. Suppose -1 + 5 = 3*t + 2*s, l*t + s - 12 = 0. Suppose 0 = -4*k - 15 - 5. Sort k, 2, t in decreasing order.\nAnswer: t, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/60*(-2)\/12*4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 + 2.7. What is the biggest value in v, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -2778, -6242, -11096, -17340, -24974?\nAnswer: -33998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*f + 44, -3*s + 12 = -s - 4*f. Suppose 54 = -0*g - 3*g - 3*q, -2*q - s = 0. Let d = 30 + g. What is the remainder when 58 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 118911\/6196 and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 288 = 5*x. What is the highest common factor of x and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063970356 rounded to 3 dps?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17*m)\/(m*m\/((m\/m**12)\/m)) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 143*v = -143704 - 47332. Calculate the remainder when v is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 93 in increasing order.\nAnswer: -4, 2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 + -54. Suppose m + 3*y + 65 = -f, 0 = -5*m - 4*y - 624. Let a = m + 262. List the prime factors of a.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, a: 2, d: 1, c: 3, i: 1, l: 3}. Give prob of picking 1 i and 1 l.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 3, 11, 4 in decreasing order.\nAnswer: 15, 11, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12*w. Let x(o) be the second derivative of -o**5\/60 + 5*o**3\/6 + o**2\/2 + 4*o. Let l(z) be the second derivative of x(z). What is d(l(q))?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27804 is divided by 1067.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.153 (b) 2 (c) 1 (d) -24 (e) 0.07 (f) 6 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + 179 + -167.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q. Let j(p) = -2*p - 4. Let m(h) = -h - 3. Let f(g) = 4*j(g) - 5*m(g). Let n be (-14644)\/(-1046) + 2 + (-19 - -1). Determine n*b(a) - f(a).\nAnswer: -2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/194804 and -7\/876618.\nAnswer: 1753236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 25*n - 5. What is a(-2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 - 4)*(0*k + 3*k**5 - k**4 - 2*k**5 - k).\nAnswer: 8*k**5 - 8*k**4 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 = 8*n - 611 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36701 divided by 49.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 2. Let l(q) = -7*q + 5. Let n(m) = 2*l(m) + 5*o(m). Let p(a) = 53*a - 187*a + 79*a + 51*a + 3*a**2 + 53*a. Determine n(p(f)).\nAnswer: 3*f**2 + 49*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybceggu. 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: Solve -3*i - 4*o = 22, 5*o = -37*i + 33*i - 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55185.92 tonnes in kilograms?\nAnswer: 55185920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -27, -84, -169, -288?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000110044441 to 7 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-6\/5))\/p**8*p\/(p*(p**2\/p*p)\/p)*p\/(p*(p**(-8\/9)*p)\/p*p))**46)**(-21) assuming p is positive.\nAnswer: p**(134918\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 4. Let h be (-1)\/2 - (-9)\/6. Let t = h - -1. What is the nearest to o in 0.2, t, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 14 = -p, -3*s - 14 = -p + s. Let l(g) = 9*g**2 - 12 + 5 - 11*g**2 + p*g - 4. Let n be l(6). What is the highest common factor of 4 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/489809 and 50\/41129.\nAnswer: 5387899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 904794792 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65426868 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1337 - -1370 - (55 + 0).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035940822 rounded to five decimal places?\nAnswer: -0.00359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 111188*q + 555840 = 0. Calculate q.\nAnswer: 5, 27792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*s**2 + 23*s**2 + 4*s**2.\nAnswer: 16*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 536 + -592. Which is greater: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:31 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 m when three letters picked without replacement from {g: 1, t: 3, p: 3, b: 3, o: 2, m: 7}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -48. Let r be (1\/c)\/(11\/66). Let m(i) = 2*i + 0*i - i - r + 8. What is m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 - 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/12, -0.3, -1251, -5.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.438130531 and 2.216.\nAnswer: 2.654130531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(1 - 1 - 2*u**2) - 6780*u + 64*u**2 + 6780*u.\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 0*p**2 + 0*p**2 + (-p**2 + 3*p**2 - p**2)*(4 - 12 + 1) - 2*p**2 + 1 - 1 + (3 - 3 - 2*p)*(3*p - 3*p + p) to b*p**2 + l + y*p and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39132 and 784.\nAnswer: 7669872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 5*w = 11*f + 25, -6 = -2*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589 + 167 = 5*y - 4*o, 0 = -3*y - 3*o - 237. Let c(h) = -13*h - 7. Let g be c(6). Let d = y - g. Calculate the greatest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 3. Let v(p) = -p**2 + 7*p + 4. Let j be v(8). Let c = j + 10. Let l be m(c). Solve 0 = -i - 2*i - l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4902732068?\nAnswer: 2, 13, 17, 5546077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.1? (a) 5 (b) -5811 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9218080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1047, -4033, -8995, -15921, -24799, -35617, -48363?\n\"Answer: 2*j**3 - 1000*j**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 5*d = 21. Suppose 4*s = -d*s. Suppose s = -f - 3*q + 32, -3*q - 17 = 5*f - 129. Solve f = 3*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66567 greater than or equal to -66561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 3, 41 in increasing order.\nAnswer: 0, 3, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.5048l in millilitres?\nAnswer: 685504.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -49*w**3 - 29*w**2 + 2*w - 14. Let s(f) = 53*f**3 + 32*f**2 - 2*f + 15. Let q(a) = -13*k(a) - 12*s(a). Calculate q(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, -248, 23, -13 in increasing order.\nAnswer: -248, -13, -2, -1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106389*q + 106510*q - 7865 for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/33)*r)**20\/(r\/r**(-31)*r*r\/r**25))**38 assuming r is positive.\nAnswer: r**(37354\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -4*w + 56, -5*w + w = j - 8 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53997803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q - 72. Suppose 3*a = 35*a - 480. Let y = q - a. What is y rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6486 divided by 290.\nAnswer: 3243\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 (base 7) in base 13?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/102 and -29\/16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 234dca8 + 2?\nAnswer: 234dcaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/30 + z**4\/24 - 11*z**3\/6 - 1517*z**2. Determine q(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -53. Suppose -3*g = 5*z - 10*z + i, -28 = -4*z - 2*g. Suppose z*t = 3*t + 40. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 225\/2 - (-21)\/(-14). Suppose v = -2*v + t. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -105 + 41 - 23*d - d**2 + 47*d - 67. Calculate the remainder when 4 is divided by f(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7908 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2190655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 37, 72, 143, 262, 441, 692, 1027?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*f - 65*f = 216 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43322 + -33?\nAnswer: -43410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bii when three letters picked without replacement from ibibiibibibibb?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 138803?\nAnswer: 138808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231695 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3\/(3\/(-2)). Suppose 49 = t*q + 5*q. Let h = -46 + 45.7. What is the smallest value in -1\/4, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 16660?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/5 - 2139354*q\/5 + 2139356\/5 = 0.\nAnswer: -1069678, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-14))\/(3\/(-4)). What is the second smallest value in w, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-22) - (-36)\/594.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14267, 28536, 42805, 57074?\nAnswer: 71343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2412577\/63 - 38296. Find the common denominator of -71\/2 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 14*m + 2737. List the prime factors of m.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16852.47 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 2, -4, -15 in decreasing order.\nAnswer: 51, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474858189 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3191*u**2 + 30. Let o(c) = -1257255*c**2 + 11815. Give -2363*l(i) + 6*o(i).\nAnswer: -3197*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/70 and (-3 - -9) + (-4 - 320\/315).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = 0, 2*n = 5*a - 64 + 1. Suppose v = -4*m - 10, 2*v - 4*v - 4*m = 8. Let x = 63 + v. Calculate the highest common factor of a and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(12)\/(2*sqrt(144))*-2)**2 - ((sqrt(81)\/sqrt(3))\/sqrt(9) + 1 + sqrt(15)\/sqrt(5))) + -4.\nAnswer: -2*sqrt(3) + 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 19*r - 15*r. What is the greatest common factor of 104 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 - 3*d + 1. What is the tens digit of h(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.96 + 20.97147. Let r = -0.012 + c. What is r rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-1 + -9)) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27465?\nAnswer: 3, 5, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-144) - 2\/(-9). Suppose m = v - 5*v + 12. Suppose -v = -c + 33. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5207, 10413, 15619, 20825, 26031, 31237?\nAnswer: 36443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -2723, -4091, -5475, -6881?\nAnswer: -8315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 266 = -0*l. Let v = -139 - l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -46, -151, -310, -523?\n\"Answer: -27*d**2 + 30*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(84\/(-18))*-4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-110)\/3)\/((-16)\/120) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 700.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 49*r = 51*r + 19, 0 = -5*r - 10. Is s equal to -74\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -516*a**4 - a**3 - 3*a**2 - 14*a + 8 wrt a?\nAnswer: -6192*a**2 - 6*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 2. Let i(a) = -a**2 - 3*a + 9. Let p(r) = 4*r**2 + 9*r - 28. Let v(u) = 7*i(u) + 2*p(u). Let q be v(0). Calculate h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761209179 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -1305?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15663751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*a**3 - 25*a**2.\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f - 5. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88442623*i**3 - 242361818*i**2 wrt i?\nAnswer: 530655738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert dcb (base 16) to base 15.\nAnswer: 10a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 62, 100, 138?\n\"Answer: 38*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.0388\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-3))\/d)\/d*d\/d**(1\/6))\/(d**1)**(-35)*(d\/(((d**(-1\/2)*d)\/d)\/d*d))**47*d\/(d*d*d\/d**(1\/5))*d\/((d*d\/(d*d**(1\/2)*d)*d)\/d) assuming d is positive.\nAnswer: d**(3241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 8, -7, 4, -26.\nAnswer: -26, -7, -5, 4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 3 + 9*u**2 + 1 + 1 + u. Is i(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = 16. Let u be h\/5*(-6)\/(-4). Suppose p + k + 5 - u = 0, -4*p = -k + 13. Which is the smallest value? (a) p (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 13}. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 3\/((-21)\/59206) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34129 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3879 and 558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1270, 0.5.\nAnswer: -1270, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, -2321 in decreasing order.\nAnswer: 16, -5, -2321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, 2, -15.\nAnswer: -28, -15, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose 2*o + 10 = -4*g, o + 5*g = -q*o - 8. Let h = 3 - o. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962255293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.559995912 - -1.56. What is a rounded to seven dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = x. Find the third derivative of -3 - 9*h**2 + 0*h**6 + 3 - x*h**6 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3*c**2\/2 - 44. Let i(s) = -4*s - 152 + 152 - 2*s. Calculate i(x(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(-3*sqrt(343) + sqrt(343)) - (sqrt(10)\/(sqrt(2) - sqrt(8)) - 4*sqrt(25)\/sqrt(5)))*-4)**2.\nAnswer: 95220\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/6 + 139016*o**4\/3 - 1668215*o**3\/6 + 1807241*o**2\/3 - 1668226*o\/3 + 556076\/3 = 0.\nAnswer: -278038, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 - 18*h - 17*h + 43*h**2 + 30*h.\nAnswer: 52*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p**2 + 0 + 5 + 208*p**2.\nAnswer: 166*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136, 137, 138, 139, 140?\n\"Answer: q + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(190)*1)\/sqrt(10))**2 + -1 + 3*sqrt(171).\nAnswer: 9*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 21*q**2 - q + 14. Let f be 1 + 24 - (-6 - (-18 - -8)). Let p be h(f). Put p, 3, -3 in decreasing order.\nAnswer: 3, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 532 + 94. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6829, 14332, 21835, 29338?\n\"Answer: 7503*k - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7727 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**5\/120 + u**4\/3 + 17*u**3\/12 + 7*u**2 - 3. Determine t, given that y(t) = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.7? (a) -0.4 (b) 3 (c) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/3 - 3940*s**2\/3 + 1752592*s\/3 - 13769600\/3 = 0.\nAnswer: 8, 662, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 13*s + 6. What is the remainder when q(-11) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -44. Suppose -i - f = -3*i. What is the remainder when i is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33632 - -7?\nAnswer: -33624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 13 = s, -2*s + 4*f + 8 = 34 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, n: 5, w: 9, c: 1}. What is prob of picking 2 r and 2 w?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/25*-5 - -6. Find the second derivative of -29*j**n + 13*j**4 + 6*j**2 - 3*j**2 - 1 - 165*j + 19*j**4 - 12*j**2 wrt j.\nAnswer: 36*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500320 - 7504814\/15. Let l be (-1 - 3\/(-2))*0. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/595, -0.4, 0, 0.137?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12835 + 11921 = 12*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p. Let y be -4 - -6 - 3\/1. Let i be a(y). What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.10197 and -5252?\nAnswer: -535.54644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 - 1 = -3*q, -5*q + 9 = -2*f. Suppose 0*l = f*l - 153. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6279?\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + 6*l + 3*l)*(-2 - 2 + 3)*(3 - 1 - 1)*((l - 3*l + 3*l)*(-3 - 1 - 3) - 144 - 17*l + 144) to the form q + z*l + k*l**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffcc when four letters picked without replacement from {c: 5, f: 14}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224770238 and 4026.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 57 - 54 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 158 + 138 = 0. Suppose -v*d = d - 455. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -2 - 2\/2. Is z greater than or equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l. Let s(o) = 16*o + 11. Suppose b = -4*b + a + 1, -2*b + a + 1 = 0. Let w(k) = 2 + b + 4*k - k. Let c(v) = -4*s(v) + 22*w(v). Give c(g(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - (-2)\/(-4). Let x = -44.56 + -1.44. Let f = -45.7 - x. What is the nearest to 6 in 0.5, f, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.44873 * 0.01.\nAnswer: 0.3744873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 0.19416, 0.2, -2\/9 in decreasing order.\nAnswer: 0.2, 0.19416, -2\/9, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + a - 3*a + 10*a - 8*a - 12*a + (-2*a - 24*a + 2*a)*(-2 - 3 + 3).\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/((1\/5)\/((49\/2205)\/((-2)\/9))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3479804, 6959616, 10439428, 13919240, 17399052?\n\"Answer: 3479812*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2 + 0 = 0, -a - 18*c - 36 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2, -2, -194998, 4 in descending order.\nAnswer: 4, 2, 1, -2, -3, -194998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k\/(k*k**(-2\/9))*k*k))**(-38))**39)**(-32\/3) assuming k is positive.\nAnswer: k**(-173888\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.806528 weeks?\nAnswer: 2906988134400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + j**2 - 4*j + 4. Let l be c(-4). What is the greatest common factor of 40 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Let b = 8.56 - 13.56. Sort 1.4, b, a in increasing order.\nAnswer: b, 1.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 94454 times -236\nAnswer: -22291144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15352377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2285 + 3604. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 8*b - 9594. Determine w(-84).\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-204)\/26 + 4. What is the closest to -1 in 0.2, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 5. Let m be l(6). Which is bigger: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.124152 * 31.\nAnswer: 3.848712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 261. Let j = p + -121. Sort -2\/13, -5, j in increasing order.\nAnswer: -5, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -11\/2 (b) 570 (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -178. Let r = 1 - 1. What is the second smallest value in -1\/4, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*f = -10554. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256a44 (base 11) to base 8.\nAnswer: 1426107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o**3 - 24*o**2 - 35*o + 13. Let t(m) = -5*m**3 - 12*m**2 - 17*m + 6. What is -6*h(i) + 13*t(i)?\nAnswer: i**3 - 12*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 10170.\nAnswer: 142380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {b: 2, g: 4, k: 8}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(((y\/(y*y\/((y\/(y*y*((y**(12\/5)\/y)\/y)\/y))\/y*y)))\/y)\/y)*y**4\/y assuming y is positive.\nAnswer: y**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*108\/(-1053)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -2\/11 (b) 4\/11 (c) -0.4 (d) 182 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11882 and -3798?\nAnswer: 8084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -235407 at most -234712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 575478*d - 575476.\nAnswer: -2*(d - 287738)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 4, -5.\nAnswer: -5, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Let t(w) = 32*w + 11. Let y = 69 + -86. Let p(b) = 11*b + 4. Let f(v) = y*p(v) + 6*t(v). Give f(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 57048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/160 and -1\/440740.\nAnswer: 3525920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5207, 5197, 5187?\n\"Answer: -10*j + 5217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6047418?\nAnswer: 2, 3, 13, 31, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 + 134. Solve 3*h + 6*b = 4*b - 10, -n*h = -b + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 334489 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 14 = -5*o, 5*o + 405 - 413 = -2*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/8)*f)**(-19)\/((f**(-1\/6)*f)\/(f*f\/f**22)) assuming f is positive.\nAnswer: f**(-1127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 less than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -950?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24900237 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) 1 (c) 522 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*368\/(-69). Factor 26 - 1050 + 4*j**2 - u*j**2 + 128*j.\nAnswer: -4*(j - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 273 + 245. Solve 3*y - 5*d + 26 = 0, a = -0*y - 5*y - 2*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 16 - (20 - (3 + 17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1246\/5 + 1243\/5. Which is the nearest to 0? (a) 1\/7 (b) g (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 497 - 497 - 40*o in the form k + i*o and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 = c - 2*v, -2*c + 5 = -3*v. Suppose -14*b + 184 = -c*b. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16420 + -23?\nAnswer: -16443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144118 is divided by 36014.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/7)\/(6\/42). Let h = 8 - u. Suppose h*x - 15 = 3*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8349, 9041, 9743, 10455, 11177, 11909?\nAnswer: 12651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39182.00000091716 + 39182. What is j rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66635.883 seconds to hours.\nAnswer: 18.5099675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**1\/r)*r)**(2\/3)*(r\/((r\/(r**2\/r))\/r))\/r*r\/((r*r**(-1\/4))\/r*r))\/((r*(r\/r**0)\/r)\/r*r\/r**(-1\/7))**(4\/7) assuming r is positive.\nAnswer: r**(1135\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35\/59865)\/(2\/504). Let p = 2\/307 + l. Let t(i) = 10*i - 29. Let y be t(3). What is the second smallest value in p, -2, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 4*v. Let o be j(5). Suppose -o*t = -3*n - 101, 5*n = -t + 2*n + 31. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*((-3*sqrt(720))**2 - sqrt(720)).\nAnswer: -38878 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2251279 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 e when four letters picked without replacement from eeqqqeeebq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1467132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7435 minus -1?\nAnswer: -7434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-5\/11)))\/i*i**(-12))\/(i*i\/(i\/(i\/(i\/(((i*((i\/(i\/i**15))\/i)\/i)\/i)\/i*i*i))))*i)**(2\/9) assuming i is positive.\nAnswer: i**(-1594\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-7 - 9\/3). Suppose -3*g + 3 = -4*n - 2*g, -n = g + y. What is the common denominator of n\/(-7) + 1\/(252\/320) and 37\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1182*x**2 - 81 - 201*x**2 - 482*x**2 with respect to x.\nAnswer: -3730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -8. Suppose -2 = -3*w + v. Let l(x) = -x - 4. Let b be l(-4). Solve -w*o = -b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 301*u - 765 = 0. Calculate u.\nAnswer: -153, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56656926 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -55, -73, -107, -163, -247?\n\"Answer: -v**3 + v**2 - 4*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -486, -469, -432, -369?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154232 and 96395.\nAnswer: 771160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 0*i**3 + 2*i**3)*(-15*i + i - 13*i)*(-58 - 3 + 90 + 92).\nAnswer: -3267*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 + (1 - 2) - -1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:13 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + -22. Let v = 1026600.00014 + -1026649. Let a = j - v. What is a rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061194 to 7 dps.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -85*f + 444. What is the remainder when 223 is divided by u(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153698*g**2 - 112518*g**2 + 20442*g**2.\nAnswer: -245774*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1952233057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -7*y - 50. Let j = y - -21. Suppose v - 6 = -3. Sort v, -3, j.\nAnswer: -3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1144, -81?\nAnswer: 1144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 + (-297)\/(-55). Suppose 0 = -4*x - d*z + 100, -5*x + 125 = -2*z - z. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113753959\/16 - 7104609. Let s = b - 5010. What is the common denominator of (-3)\/22*(-71)\/(-3) and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6588141.\nAnswer: 3, 7, 313721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -1\/6*n**4 - 2\/3*n**3 + 0*n - 1\/24*n**6 + 9*n**2 - 1\/30*n**5 + 0. What are the prime factors of w(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 13\/2*d**4 + 0*d + 1\/2*d**2 - 6 - 1\/3*d**3. Give m(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6627706, -13255419, -19883132, -26510845, -33138558, -39766271?\n\"Answer: -6627713*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)*(m\/(m**17\/m)*m)\/m assuming m is positive.\nAnswer: m**(-253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10202011010002101?\nAnswer: -10202011010002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdddzdddd. Give prob of sequence zdz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21850*h**2 - 315 + 21843*h**2 - 43694*h**2)*(0 + 0 + 2*h) to the form d*h**3 + b + g*h + w*h**2 and give g.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 38 + 71 = 0. Suppose 5*w + 6 + 19 = -a, 0 = 2*w + 5*a + r. Calculate the remainder when 5 is divided by 1\/w + (-255)\/(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 7, p: 1, q: 5}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(36)\/sqrt(4)*-1).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34008.63 decades to months.\nAnswer: 4081035.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2 - 2. Let q(k) = 6*k - 4. Suppose -13 - 13 = -2*w - 2*a, -a + 46 = 4*w. Let h(d) = w*d - 6 + 1 - 2. What is v*h(f) + 7*q(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 - l + 1. Let a(t) = 2*t**3 + 3*t**2 + t - 2. What is -2*a(h) - 3*y(h)?\nAnswer: -h**3 + 3*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1. Let p = -8 - -15. What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.06*30.36\nAnswer: -92.9016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 4*o - 7705 + 7733, 4*u = -3*o - 47 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g + 4*g**2 - 2*g**2 - 3*g**2 - 9. Let f be c(7). List the prime factors of f\/(4\/144*-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 1 - 3)*(0*s + 2*s + 3*s)*(13 - 13 + 3*s**2).\nAnswer: 150*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - l**4 + 2*l + (0*l - 2*l**2 + 0*l)*(0*l**2 + 0*l**2 + 2*l**2) - 3*l**4 - 2*l**4 + 4*l**4 + (4*l**4 + 0*l**4 - 6*l**4)*(1 + 0 + 2).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + a)*(-4 + 4 - 3 + 2*a)*(2 + 1 - 2).\nAnswer: 6*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 + 164. Suppose 0 = -g + 2*s + 793, 7*g - 3*g - 3154 = q*s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4059, -32, -4\/3.\nAnswer: -32, -4\/3, -0.4059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 269512551 a multiple of 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44195, -44214, -44247, -44300, -44379, -44490?\nAnswer: -44639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l**3 - 289*l**2 - 160*l + 492 = 0. What is l?\nAnswer: -246\/43, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-24))**(1\/10) assuming y is positive.\nAnswer: y**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6*(5\/5)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + -1.5. What is the nearest to n in -1, -2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81199710559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413504374?\nAnswer: 2, 706752187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -184880 rounded to the nearest one thousand?\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10318425 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2 - 270*k + 18225 = 0.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u + 5 = 0, 27 = 3*o - 3*u. Suppose -o*r + 1 = -5*h, -2*r = 3*r + 5*h - 35. Solve 0 = 5*y - 1 - r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/120052 and -65\/7224.\nAnswer: 216813912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -58487.9724 rounded to the nearest 100?\nAnswer: -58500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33243097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652915, -1305830, -1958745, -2611660, -3264575, -3917490?\nAnswer: -4570405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14c9 (base 16) to base 5.\nAnswer: -132241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 411*b**3*t + 1358*b**3 wrt t?\nAnswer: 411*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*(-1*sqrt(143) - sqrt(143)) - sqrt(143))\/(1*sqrt(704) - sqrt(11)))**2.\nAnswer: 72*sqrt(13)\/7 + 1837\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25544 + -11699143\/458. What is the common denominator of b and -73\/8?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14680, -29307, -43934, -58561, -73188?\nAnswer: -87815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 29*y - 224. Calculate i(34).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.421*2302.\nAnswer: -969.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3091222 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -204, -221, -250, -297, -368, -469, -606, -785?\n\"Answer: -w**3 - 10*w - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*p + 44, -5*p + z - 70 = -9*p. Calculate the least common multiple of p and 82.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1495870, 1495875, 1495876, 1495867, 1495842, 1495795, 1495720?\n\"Answer: -x**3 + 4*x**2 + 1495867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 4*f**2 + 2*f + 1. Let h = 74 - 73. Let v be (4 + h)*7\/(70\/6). What is j(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 2*p. Suppose 11 = x + 2*r, -p*x + 14 = -0*x + 2*r. Suppose 3*y - 21 = -3*t, -2*t + 0*y = x*y - 17. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 - (6\/(-2) - 2). Suppose x*t + 0 = 5. Which is the smallest value? (a) 7 (b) t (c) -2\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 194?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46254151 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose i = -4*x - m + 12, 2 = m - 2. Solve -6*v + 5 = g - 4*v, -3*v = -x*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1 + 1 - 2*a. Let s = 122 + -106. Let v(l) = 39 - 39 - s*l. What is v(q(b))?\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4368?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Suppose -5*l + 2 = -8. Let n be (-6)\/(l - 4) + -8. Let s(j) be the third derivative of -j**4\/4 + 5*j**3\/6 - 3*j**2. What is n*h(y) - s(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*n + 4*f, 0 = 5*n + 2*f - 12 - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2150 by -10.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 146. Calculate the remainder when x is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30642?\nAnswer: 2, 3, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovy when three letters picked without replacement from {y: 1, p: 1, e: 1, v: 2, o: 3, z: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 11*d)*(-d + 4*d - 5*d) + 3*d**2 - 3*d**2 - 3*d**2.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -888 by 12.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79167918, 158335835, 237503752, 316671669?\n\"Answer: 79167917*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/126 and 73\/294.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 2, t: 4}. Give prob of picking 1 y and 1 t.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**4\/4 + 8*o**3\/3 + 5*o**2\/2 - 7*o - 35. List the prime factors of k(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/11*(-31)\/1023*-33\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608.2613 decades to millennia.\nAnswer: 6.082613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 173\/(-4) + ((-42)\/(-24))\/7. Let n be b\/55 + (-10)\/(-55). What is the third biggest value in n, -28, 0.1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -427 times 7.6\nAnswer: -3245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w - 0, -2*p + 4*w - 4 = 0. Let x be 169\/(-78) - p\/2. Let r = -3\/16 - -25\/48. Sort r, x, 2\/19.\nAnswer: x, 2\/19, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/7? (a) -5\/26 (b) 1\/4 (c) 5 (d) 4 (e) -3\/7 (f) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11789 is divided by 11519.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**5\/20 + 2*d**4\/3 + d**3\/6 + 2*d**2 + 2*d - 1. Let h = -16 + 8. What is f(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 161*q + 9 - 3 - 124*q.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 5*m**2 - 3*m - 2. Suppose -y = 4*y - 20. Let d be 6\/y - 108\/24. List the prime factors of t(d).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12155 and 13039.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(1\/4))\/i)\/((i*i\/i**(1\/3))\/i*i))\/((i*i**(2\/7))\/i*i**(-2\/9)*i))**(-17) assuming i is positive.\nAnswer: i**(12767\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 243457073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (-3*sqrt(18))\/sqrt(6) + -2 + sqrt(3) + 3).\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30073405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-165)\/30*-12*2\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2695 and 7345?\nAnswer: 3958955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -11, -1.\nAnswer: -33, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200951.\nAnswer: 23, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33096 and 982968?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491095078 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2077 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 18*d**2 - 6. Let v(c) = c**2. Let q be (-186)\/(-48) + -5 + (-5)\/(-40). Give q*y(x) + 15*v(x).\nAnswer: -3*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:11 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/9 - 5) + 17\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1083*c**3 - 50*c**2*m - c*m + 4*c + 317*m + 29 wrt c.\nAnswer: -6498*c - 100*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbfbbbfbbbbfbbbbbfb. What is prob of sequence fff?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612*x = 58*x - 41 - 1969 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.4, 1\/7, -74, -0.4, -5 in decreasing order.\nAnswer: 4, 1\/7, -0.4, -1.4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**4 + b**3 - b + 1. Let p(c) = -3*c + 3*c - 10*c**4 - 6*c + 11 + 6*c**3. Let u(h) = -p(h) + 6*s(h). Find the first derivative of u(j) wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 4*b)*(8*b**3 - 11*b**3 + 6*b**3 + (3*b - b - 3*b)*(-2*b - b**2 + 2*b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3303*d + 550*d - 1341*d + 2277*d + 868*d as q + n*d and give n.\nAnswer: 5657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 169196436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1) + -2 + 28. Suppose 0 = 5*c - r - 9. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, j: 4, i: 8}. What is prob of sequence tit?\nAnswer: 56\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-22))\/1)\/(727\/(-7997))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741561 is divided by 370752.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -59. Let q = i - 26.8. Round q to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 204\/33 - 2\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.0689.\nAnswer: 0.2067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*d**3 + 8547*c**2 + 3379*d**3 wrt d?\nAnswer: -6*c**2*d**2 + 10137*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49489239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21323 - 52?\nAnswer: 21241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (898\/211479)\/((-4)\/48*-4).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**(-14) assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-12))\/(3*-1)*(-231)\/(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 28*u**2 + 65*u - 1. Calculate a(-30).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08147574 + 0.083547. What is u rounded to five dps?\nAnswer: 0.00207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8373 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glspgxa. What is prob of sequence lgp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -742010, 37, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*x + 24*x**3 + 0 - 1 - 62*x - 7*x**3 to the form j*x**2 + a*x + o*x**3 + n and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 3861\nAnswer: 11583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6786.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7204640 and 37888.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**9\/13608 + l**8\/2520 - l**6\/405 + 5*l**3 + 21*l**2. Let z(s) be the first derivative of i(s). Factor z(k).\nAnswer: 2*k**2*(k - 1)*(k + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*2 + sqrt(9)\/((sqrt(3) - sqrt(3)*1) + sqrt(3)) + -1*((sqrt(3) - (2*sqrt(3) + sqrt(3))) + 0))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**6\/90 - 7*x**5\/30 + x**4 - x**3\/3 + 3*x**2 + 35. Let n(d) be the third derivative of y(d). Find z such that n(z) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 45. Determine a(-12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*d - 1 - 2, 5*r + 4*d = -5. Let n be (r - 3\/(-2))*12. Let m be (-2 - 0) + 36\/n. Solve m*i + 2 - 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.03, -5, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 9779 = 11603. What is the remainder when t is divided by 204?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.081 + 0.024. Let u = 0.075 - c. What is the closest to -1 in 1, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 102?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3284130*v**2 + 1133997*v - 7 wrt v.\nAnswer: 6568260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59342 is divided by 29081?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31622 - -221339\/7. Which is the biggest value? (a) i (b) 1\/7 (c) -14\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 1\/5 (b) -0.5 (c) -15 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 642 - 342. Is 72\/z*-30*100\/(-3) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45506, 182367, 410584, 730157?\nAnswer: 1141086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + d - 1. Let r(g) = g**3 + 2*g - 45. What is -2*k(t) + r(t)?\nAnswer: -t**3 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 + 8*t + 8. Let q = -6928 + 6927. Determine n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 1, l: 1}. What is prob of sequence li?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -97.1, 357?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 4. Let a(u) = -2*u**2 - 3*u + 5. Let s(c) = -c**2 - 4*c + 4. Let y(t) = -2*a(t) + 3*s(t). Let l be y(5). Is p(l) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/((d*(d\/(d*d**(-9)*d))\/d)\/d))\/(d\/d**(2\/11))**46 assuming d is positive.\nAnswer: d**(-469\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44309205.\nAnswer: 3, 5, 101, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2 + 0 + 0. Calculate the remainder when -1*s + 0 - -38 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -3 (c) 300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a factor of 323023680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 1:10 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22491 or 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -550 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 479943.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10662701 (base 9) to base 12\nAnswer: 1898aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1005535371 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.486 (b) -2\/65 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6 + 2 + 0 - 2 - 3*w. Suppose 0 = -4*z - 2*n + 2, 3*z - 8 = 4*n + 10. Let b be p(z). Solve -f + 3*a = b, -f + 3*f - a = -5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(6 - (4 + -3)). Let z = a + 6. Suppose 56 = -3*v + z*v. Let w(i) = i**3 - 7*i**2 + i - 8. Give w(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/5005 - 15063\/40040. What is the nearest to 0 in -4, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2 - 6966*b + 27832 = 0.\nAnswer: 4, 3479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 0.031\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 - 30\/(-6)) + 6626. Let l(x) = 6621 + x - v. Let u(d) = -25*d**2 - 2. Determine u(l(t)).\nAnswer: -25*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 16*w**2 - 350*w = 0.\nAnswer: 0, 175\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -2.22248.\nAnswer: -1.22248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in centuries?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a81 (base 15) in base 4?\nAnswer: -211003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 0*i**4 + 0*i**4 + (-1 + 0 + 3)*(0*i**4 - i**4 + 0*i**4) + 4*i + 5*i + 2*i + 2*i**4.\nAnswer: -i**4 + 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.5 - 9.9. Which is the closest to k? (a) -0.1 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290126003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13 - 3) + -2 - 4) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 - 2) + 3)\/(-3). Solve -u = -s*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + 7 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 509.3 + -509. Let v = -3.2 - -3. Let f = -0.6 - v. Which is the third biggest value? (a) x (b) f (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/13)\/m)\/m)**(-44)\/((m**25*m)\/m**(-1\/2)) assuming m is positive.\nAnswer: m**(1687\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -32892.\nAnswer: -143\/16446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468 divided by -3.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -573 + 571.51. Let l = 1.4162 + x. Round l to 3 decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -287 + 295. Solve -4*w + j*w = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 4*m - 22 = 0, 3*m - 266 = -4*x - 253 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 32*o = 2610. Calculate the remainder when o is divided by (31 - 0) + 6 + (-5 - -3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1497310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/3 (b) 0.5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 2*n + 9, 59*h - 60*h - 3 = -2*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 8*l**2 + 3*l + 11. Determine a(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410369, -820738, -1231107, -1641476, -2051845, -2462214?\nAnswer: -2872583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 3, 1, -4, 4 in ascending order.\nAnswer: -128, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 208170 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25919 - -25918. Do j and 1\/62107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(11\/2)\/(h\/(h\/(h*h\/((h\/(h\/(h*h**3)))\/h))*h*h*h)))**9 assuming h is positive.\nAnswer: h**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 7, -11, 4 in decreasing order.\nAnswer: 10, 7, 4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*k**2 + 187*k**2 - 40*k + 2 + 39*k to the form w*k + s + i*k**2 and give i.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 39. Suppose 0*v + x = 4*w - 5*v, 16 = 3*w + 4*v. Suppose -w*l - 10 = -34. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 4, d: 6, e: 10}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50987519.\nAnswer: 11, 181, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**3 + 162*m**2 - 14*m - 1467. Give h(32).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52527479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143200 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -27.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0893 - -0.0107. What is the closest to -0.1 in -9, 0.2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9657*i - 125689. Calculate m(13).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 57*j - 12 = 2*l, -24 = 4*l + j. Let i be (2 + (-9)\/3)\/(-1). Let y(q) = 4 - 6*q - 2*q**2 + q**2 + q - i. What is y(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44248985898943447417\/1669230 - 26508621279839. Let k = f + -6\/18547. Find the common denominator of k and 3\/16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + h + 1. Let o(i) = -41*i**3 - 6*i**2 + 6*i + 5. Suppose 0 = 17*l - l - 16. Let x(v) = l*o(v) - 6*j(v). Determine x(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(15\/4)\/u)\/u)\/(u*u\/(u*u**(-5)*u)))**(-36) assuming u is positive.\nAnswer: u**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 26*b + 2. Let i be c(2). Let g = -7922 + 7928. What is the highest common divisor of i and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59541.57 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edd when three letters picked without replacement from {e: 3, d: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.1? (a) -1\/2 (b) 30\/13 (c) -6 (d) 0.15 (e) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374487, -748914, -1123341?\nAnswer: -1497768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35645, 35660, 35685, 35720?\n\"Answer: 5*k**2 + 35640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -52 - (-3 + (-5)\/(-5))*(-14 - -15). Is b at most as big as -293\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/12)\/(2\/4). What is the smallest common multiple of 8 and (-5)\/(6\/(-9)*d\/10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*a - 6*a. Let x = -4 - a. What is the least common multiple of 14 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1094.74 - 6271\nAnswer: -7365.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - q. Let n be o(-2). Suppose -2*k + g - 11 = 0, n*k + 2*g + 14 = -12. Let w = k - -13. Solve -w*s = -0*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 - 4*y**3\/3 + y**2 - y. Suppose 0 = 11*b + 12 + 76. Calculate j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 4*d**2 + 6*d - 7. Let k be q(-6). What is the second derivative of 73*a + 20*a**3 + k*a - 17*a - 10*a wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - -0.42. Let s = -26 - -27. Which is bigger: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -42, 8, 82, 186, 326, 508?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -6. Suppose -2*v + n*v - 20 = 0. What is the second derivative of 2*z**5 + 3*z**5 - 3*z**v - z wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.45 and 1.75.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 36 = 2*g, -5*g + 2*f = 3*f + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -305.4 - -447.5. Let w = -117 + t. Let d = w + -25. What is the nearest to -4 in 2, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 2*k**2 + 0*k**2 + 693 - 154 - 211 - 158.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(418\/(-4)) + (-96)\/286?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + z)*(2*z + 3*z - 3*z)*(-z - 2*z + 0*z)*(4 + 0 - 3)*(-3*z + z + 0*z).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2047 - -2918. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 3*i**2 - 2*i - 2. Suppose 3*l = 2*m + 36, -4*l + 24 = -2*m - 10. Let o be 0\/2 + m\/7. Calculate j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0 + 2*l + 0) - 78*l - 638*l - 1899*l.\nAnswer: -2611*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24836 is divided by 395.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1*n))**(-33)\/(n**(-2\/7)\/(n*n**5))*((n**(-2\/3))**(-18\/7))**(-1\/4) assuming n is positive.\nAnswer: n**(272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 49\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/8*(-1368)\/570. Let p(q) = 2*q**3 - 3*q**2 + q - 2. Let z be p(2). Suppose r*s - 43 = -z. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 2*o + 1. Let m be r(-1). Let d be (-1 + -2)\/6*6. Let i = m + d. Let g(b) = 3*b + 1. Determine g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11 + 5 = 0. Suppose -8*x + j = -4*x. Determine s, given that -1\/5*s**x + 3\/5*s - 2\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3579.1 and -0.5.\nAnswer: -1789.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811674 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*c - c + 16, -3*k + 5*c = -14. Let z(p) = -144*p**3 + 304*p**3 - 4*p - 1 + 3*p - 150*p**k. Determine z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n - 8. Let u be ((-28)\/6)\/((-12)\/(-18)). List the prime factors of q(u).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1574 + -824. Let n = 1253 - r. Let x = -346 + n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 - (-5)\/3. Suppose 2*g = 5*b + 38, 5*b - 9 = -5*g + 16. Let p = g - 1. Solve 4*h + p = c*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n - 539 = 29*n - 22*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 33 = -47. Suppose -o = -2*r + 6*r. Let b(l) = l**2 + 2*l - 3. Give b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1845939097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 994979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-148)\/(-36) - 4)*2. What is the third smallest value in -3, 3\/4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1964 - 2125 = -23*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 19*y - 224. What is the greatest common factor of 70 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1090*i**5 - 4*i**4 + 64364*i**3 + 545078754*i**2?\nAnswer: -65400*i**2 - 96*i + 386184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 3 (c) -0.4 (d) -0.5 (e) -0.067\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36647 is divided by 75.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2. Let x(m) = 6*m**2. Let p = 33 - 17. Let t = 13 - p. Give t*x(q) + 4*v(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/14, 2 in increasing order.\nAnswer: -0.3, -1\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/((0 - -1)*16\/(-1016))?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*n**3 + 152*n**2 + 196*n - 368 = 0. What is n?\nAnswer: -23\/5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -216?\nAnswer: -7\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f + f - 142 + 283 - 142 + 2*f**2 as p + o*f**2 + u*f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5446127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9) + (-6 - (-2 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14392 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 102*l + 2497. What is k(-38)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2349187 and 3194?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 545 + -543. Suppose -424*x - i = -422*x. What is the fourth biggest value in -4, 2\/5, x, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107103 - -6?\nAnswer: 107111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2667 divided by 21\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1194846832, 2389693663, 3584540494, 4779387325, 5974234156?\n\"Answer: 1194846831*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*b**3 + 382950632*b**2 - 382950632*b**2.\nAnswer: -370*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**2. Let m(b) = -2*b**2 - 23*b. What is m(s(t))?\nAnswer: -288*t**4 - 276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 60 = 5*a. Let i = 22 - a. What is the greatest common factor of 18 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69537 - -13211923\/190. What is the common denominator of -8\/3 and t?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -837756216 minus 23?\nAnswer: -837756239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 604 in -216\/11, -1, -5\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(4*l + 0*l - 2*l) - 2*l + l + 5*l - 28*l + 8*l - 23*l + (-4*l + 3*l - 2*l)*(3 - 3 - 1).\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u + 2. Let x be 3\/6*-2 + 2. Let h be y(x). Let k = 0 + h. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92591 or -92594?\nAnswer: -92591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 12*o + 78. Suppose 19 - o = 2*f, l - 5*f = 1954. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -856 = -2564\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27900 and 2015?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34076806?\nAnswer: 2, 17, 1002259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (546\/22750)\/(6\/(-10)*2)?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*0\/(27\/((-135)\/(-10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -388, 5, 6, 2 in decreasing order.\nAnswer: 6, 5, 2, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099665311 rounded to 4 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y + 73391 - 75407 = -18*y for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128908 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001554188 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -13, 4, -6 in increasing order.\nAnswer: -13, -10, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbwbwwbw. Give prob of picking 1 w and 1 b.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -278*d**2 + 10*d. Let q(r) = 3*r**2 - 2*r - 2. Let g(v) = -k(v) + 4*q(v). Find the second derivative of g(p) wrt p.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -2\/15 (c) -30\/17 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107 - -263. Let v = -20334 + 20336. What is the least common multiple of v and a?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(18\/13)\/b*b**40*((b*b**(-13))\/b)**7 assuming b is positive.\nAnswer: b**(-658\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 24*k - 62. Let o be y(21). Let n = -59 + 51. Let i be (6 + n)*2\/o. What is the biggest value in i, -0.8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258482857639*b - b**3 - b**3 + 6*b**3 - 258482857639*b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 164 = 76. Let j be 24*(f\/42 + (-10)\/(-35)). Calculate the greatest common divisor of 80 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.303 times 4\nAnswer: 53.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 + 564. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + (6 + -20 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.264, -6, -1, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 2*f**2 + 3373 + f**2 - 3373. Let q be g(0). Solve 4*o + 2*t = 6, 3*t = -q*t - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 2\/13, 2, -3, -0.3, 162063?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34211180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5\/4, 7\/5, -4, 0.603 in decreasing order.\nAnswer: 2, 7\/5, 0.603, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -10. Let f be (-3)\/a - (-19)\/3. Suppose -30 = 3*l - f*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 0.092544617.\nAnswer: 0.392544617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -132 and -0.042.\nAnswer: -132.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725253 is divided by 70?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 30*y + 34. Give q(17).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5607 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -16*m + 21*m - 4840, 4*l + 2915 = 3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = -5*v, g + v + 0*v - 5 = 0. Suppose -r = -0*r + 3*m + 12, g*r = 3*m - 6. What is the units digit of (-3)\/(9\/34)*r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3059 + 137 = -6*l. What are the prime factors of l?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from rrjjrrrjrjjnrjxjjr.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 0 - (54 - 56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 7*q**2 - 7*q - 8. Let d(o) be the third derivative of o**5\/60 - o**4\/24 - o**3\/6 + 9*o**2. Determine 14*d(r) - 2*h(r).\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 - -294. Let q = -11498\/25 + 460. What is the nearest to w in -1\/2, q, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13*u - 13*u - u**2.\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -150011 (base 6) to base 4\nAnswer: -3132313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - ((-800)\/260)\/(-2).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000737206936 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w - 118. Let x(k) = -21029*k. Calculate t(x(c)).\nAnswer: 147203*c - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31330052 + 2?\nAnswer: 31330054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/10)*s))\/s**(-8))\/(s*s**0)**(2\/59) assuming s is positive.\nAnswer: s**(4641\/590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let l be (14\/(-3) - (-2)\/(-6))*-1. Let n(m) = 10*m + 2. Let o(f) = 6*f + 12*f + 5 + 2*f. Let d(r) = l*n(r) - 2*o(r). Calculate p(d(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/9460 and 47\/1646.\nAnswer: 7785580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6005, 23692, 53171, 94442, 147505, 212360?\nAnswer: 289007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from vmvvmmvvvvvkdvakadk?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-224))\/(1*(-180)\/42)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.261 * 962241\nAnswer: 251144.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*o + 11967 = -70*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -260*o + 783. Determine a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 9*o + 307 = 350, -3*z = -o - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28910*s - 722745. Calculate z(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**4\/4 - 9*k**3\/2 - 12*k**2 - 27*k. Factor y(j).\nAnswer: -3*(j + 1)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1760\/2640*9\/34?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(192)*-2 + sqrt(192))\/(-1*sqrt(128)))\/((sqrt(8) - 3*sqrt(392)) + (-2*sqrt(72) - sqrt(72))).\nAnswer: 13*sqrt(3)\/116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 + -176. Which is the nearest to f? (a) 2 (b) 0.05 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5 + 206663\/(-55). Let d = -3761 - a. Find the common denominator of d and 23\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2989804*x**2 - 5755096 wrt x?\nAnswer: 5979608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0*a**2 + 0*a**2)*(-4*a - 3*a + 4*a) + (3*a + 2*a**2 - 3*a)*(4*a**2 - 2*a**2 - a**2) - 2*a**4 + 2*a**4 + 2*a**4.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8470, -10144, -11818, -13492, -15166, -16840?\n\"Answer: -1674*f - 6796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from dsvdlckc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v + 66. Let p(r) = -r + 17. Let d(k) = -4*p(k) + w(k). Let i(n) = n + 1. Let t be i(-2). Let s(m) = m - 1. What is t*d(y) + 2*s(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-26)\/(-6) - -3)*3\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/31 or -1?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4667 - 3208 = -19*k. What is the smallest common multiple of 375 and k?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 - 13821153*a\/5 + 27642318\/5.\nAnswer: -3*(a - 2)*(a + 4607053)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -3*q**2 + 0 + 1\/10*q**5 + 7\/3*q**3 - q - 5\/6*q**4. Factor o(a).\nAnswer: 2*(a - 3)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from {j: 1, m: 1, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 0. Let l(q) be the third derivative of q**4\/24 + 5*q**3\/6 - 112*q**2. Let t be l(y). Calculate the greatest common factor of 12 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24968, -49942, -74930, -99938, -124972?\n\"Answer: -v**3 - v**2 - 24964*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178411628 rounded to three dps?\nAnswer: -0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:38 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m. Is 9 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 42?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 + l + 2. Calculate z(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838197480?\nAnswer: 2, 5, 37, 269, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*g*t + 10*g - 19*t - 1 wrt g?\nAnswer: -16*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 1 + 1 + (-2 + 11 + 10)*(-10 + 10 + 10*l**2) + (12*l + 4*l - 5*l)*(-l - 1 + 1).\nAnswer: 178*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 - 7. Let l = -4 + 6. Suppose 3*w + 17 = l. What is v(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 14*h - 16. Let u be l(13). Does 7 divide (50\/4)\/(u\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73355 is divided by 4075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*(-2)\/(-6))\/(2\/84). Let m be 8\/4 + b + (4 - 2). Calculate the highest common factor of 24 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3, r + 0*b = 2*b + 2. Solve 0*y - 5*y + 3*s - 16 = r, -5*s + 12 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -10. Let w = 21 + x. Solve -4*q - 4 = 3*y, -2*q - w = 5*y + 2*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3296.4*133.\nAnswer: 438421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 54, -22 in descending order.\nAnswer: 54, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44.87305t?\nAnswer: 44873050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 269*f**2 - 437. Let k(v) = -2*v. Determine h(k(z)).\nAnswer: 1076*z**2 - 437","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 9, 3 in decreasing order.\nAnswer: 9, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 2*r**3 - 7 - r**2 + 9 - 4*r**4 as q*r + v*r**2 + o*r**3 + n + s*r**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*r**2 - 24*r**2 - 319*r**2 + 647*r**2.\nAnswer: 991*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 16. Let y be u(0). Let p = 17 + y. Let g be 192*(p - 7012\/12). What is g rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -13, 2, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/4223701 and 1\/549.\nAnswer: 38013309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 22*z**2 + 71*z + 13. Give t(25).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 5 - 5) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -50. Find the second derivative of c*y**4 - y**4 - 6*y**4 - 3*y**4 + 14*y wrt y.\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 149556*x**3 + 448692*x**2 + 448700*x + 149568.\nAnswer: -4*(x - 37392)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Suppose 68 + 40 = 4*u. Let g(i) = -19 + 11 - u*i + 8. Determine b(g(n)).\nAnswer: 729*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 17817, -6 in descending order.\nAnswer: 17817, -6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 0*v + v + 99 + 89.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -5*d**3\/9 + 10445*d**2\/3 - 21819605*d\/3 - 992. Factor g(a).\nAnswer: -5*(a - 2089)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from vvvvvvvvvvvvvvvxxv.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252.2 - 671.\nAnswer: -923.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.436 + -1.236. Which is the closest to -9? (a) g (b) 1\/3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1954.9 + -1955. What is the nearest to -1 in 732, t, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:41 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.03 (b) 609 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s - 6*s + 2*s + 17 + 2*s.\nAnswer: -21*s + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*r + 59 = -r, 2*r + 26 = 2*s. Suppose 0 = 7*v - 5 + s. Let j = -139 - -1531\/11. Is v < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 980 - 911. Solve o - d = -74 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 7*x**2 + 5*x. Calculate the remainder when 74 is divided by c(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*l**2 - 63*l - 17497?\nAnswer: -26*l - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + (sqrt(168) + sqrt(168)*-1 + sqrt(168) + sqrt(168))\/sqrt(8))\/(sqrt(896)\/sqrt(2)))**2*-4.\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 + 20*f**3 + 6954*f**2 + 4306817*f.\nAnswer: 12*f**2 + 120*f + 13908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 9. Suppose -3*d - f = 3, z = 2*d + 9. Suppose -3*y = -4*g - 23, 0*y - 32 = -3*y - z*g. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 10:45 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1890907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5 - 19. Put -2, 1, l in decreasing order.\nAnswer: l, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31610 (base 10) to base 2\nAnswer: 111101101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i + 0*i)*(-780 - 2046 - 68 + 33).\nAnswer: -5722*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16714*f**5 - 11*f**3 + 2*f**2 - 544071*f.\nAnswer: -1002840*f**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 13*l + 0*l - 9*l + 4*l**2 + 80 + 4*l**2. Is 41 a factor of u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-3)*2\/4. Let i(u) = -u**2 + u + 1. Let f(b) = -b**2 + b + 2. What is q*i(o) - f(o)?\nAnswer: -2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/210 and -11\/56?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -187680.6005 rounded to the nearest 1000?\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:18 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 140, 147, 154, 161, 168?\n\"Answer: 7*r + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -692625 - -692625.2. Let g be (-1)\/(-3)*(-3 + 1). Which is the smallest value? (a) g (b) l (c) -1\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 2*w**2 - w**2 + (4 - 3 + 0)*(3*w - 3*w + 2*w**2) + 2*w**2 - 3*w**2 + 0*w**2 + (3*w - 17 + 17)*(4 + 3*w - 4).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 14466 (c) 0 (d) 0.41 (e) -2\/3 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 43*69\nAnswer: 2967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24023072, -24023076, -24023080, -24023084?\n\"Answer: -4*w - 24023068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 6*a - 1. Calculate n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2 + 1. Let n be (-45)\/90 - (111\/(-18) - (-4)\/(-12)). Solve i = v*i - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + 0 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/18 - (4 + 1768\/(-18)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 4*l - 5*l)*(-2*l + 1 - 3 - 3*l**3 + l**3).\nAnswer: -8*l**4 - 8*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 3\/4 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.191 + -2.091. Sort -2\/9, 1, 3\/8, 64, p in descending order.\nAnswer: 64, 1, 3\/8, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195840799?\nAnswer: 9011, 132709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 31360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402513 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -22*c**2 - 3*c. Let k(a) = 15*a + 5*a - 21*a + 2*a. Give k(d(x)).\nAnswer: -22*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-56)*28 + 8. Let f(z) = -z + 3. Let l be f(6). What is the closest to -1\/9 in -0.4, u, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (10 - (5 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 8*g**2 - 9*g + 5. Let x be n(9). Suppose x*j = 495 - 105. Calculate the remainder when j is divided by 20\/(1 + 0) + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42193 - 31?\nAnswer: 42162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 4 (c) 42\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 608408 to the power of 1\/2, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**22\/(l*l**(-14\/5)\/l))**(-24) assuming l is positive.\nAnswer: l**(-2976\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55\/6 in 4, -7, -15, 0.5, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9067452 and 80700?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from hhfggfwfhfhfw.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 8:10 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 6:33 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 1) + (-2 - 3) + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 - 8*q + 3. Let n(v) = 4*v**2 - 7*v + 3. What is 5*j(k) - 6*n(k)?\nAnswer: k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e74 (base 15) in base 11?\nAnswer: a068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {m: 1, t: 9, x: 3, f: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11019551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/22 and 15\/91869044.\nAnswer: 1010559484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 + 357503*c**4 + 79*c**2 + 9299*c wrt c.\nAnswer: 60*c**2 + 8580072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103759 is divided by 8646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 1\/24 (c) 2\/3 (d) -230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 81) + 35 + -75 + 44?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 50 + (-3 - (-3 - -12)) + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3259 - 425 = -5*s, 0 = 2*d + 8. Suppose 3*c + s = 2*f - 6*f, -c - 3*f = 237. Let t = c + 443. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 16 = -9*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 73*v + 2784 = 41*v - 105*v for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 + -289. Suppose -3 = -j + 4. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (594\/(-3168))\/(((-1)\/(-1))\/4*-9)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 - 294*q**3 - 4373*q**2 + 18618*q + 52360 = 0. What is q?\nAnswer: -17, -2, 5, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 24 = -3*g, 0*u - 2*u = -2*g + 8. Let q be (1\/(-2))\/(1\/u). Let x(a) = 5*a**2 - 3*a**2 - q*a**2. Let r(h) = -20*h**2. Calculate r(x(l)).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-3))\/(2\/(-6)). Let w(l) = 0*l - l - m*l - l. Let z(x) = x. Calculate z(w(a)).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-64) + 43\/4. Solve -p + r = -3*k, -2 - 14 = 4*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41941?\nAnswer: 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piiyiiipyysyypipiiii. What is prob of picking 3 y and 1 p?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64226244.78 rounded to the nearest 100000?\nAnswer: 64200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -3169?\nAnswer: 316a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:35 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/18 and 34\/171?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8006051 and 4.\nAnswer: 32024204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*(p**(-1\/6)*p)\/p*p\/p**13 assuming p is positive.\nAnswer: p**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(374) + 5*sqrt(374)*2 + sqrt(374))\/sqrt(11))\/(-2*sqrt(242) + sqrt(242) - (sqrt(2) + (1*sqrt(8) - sqrt(2)))))**2*1.\nAnswer: 2448\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -57*u**3 - 47*u**2 - 45*u - 36. Let h(v) = -23*v**3 - 23*v**2 - 22*v - 19. Let j(s) = 5*h(s) - 2*t(s). Calculate j(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/55*(74 - 79). Which is the third biggest value? (a) 4 (b) q (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*i - i - 76 = 0, -u = -3*i - 36. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.77 in 1.1, 5, -4\/3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89189627 to the nearest integer?\nAnswer: 9444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*s**2 + 18*s - 7*s + 64*s**2 in the form y*s**2 + u + n*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(-98) + (-6)\/30*(245\/14)\/(-7)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 9*l**2 + 6*l - 11. Let v be p(-8). Suppose -v*k + k + 260 = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/119 - 59\/238. Let z = p + 1\/21. What is the nearest to -1 in 0.2, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxuuwxxlllxxulxxlwl. What is prob of sequence wlu?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 2 - 23*a - a**4 + 23*a to the form o*a**2 + q*a**4 + d*a**3 + k + h*a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -1330 - 10730. Suppose -24*k + 19*k = -s. What is the greatest common factor of k and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 75*n. Let m(z) = -7564*z**2 + 7569*z**2 + 0*z + 0*z. Determine h(m(r)).\nAnswer: 375*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.74? (a) -0.3 (b) 4\/5 (c) -0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8035.423 rounded to the nearest one hundred?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3431?\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*v + 1314 = v, -2*r + 3*v = -534. Let g = r + -1324\/5. Let u = 2 - 2.1. What is the third biggest value in u, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 + 2*t - 1. Let u be (-10)\/6*(1 + 2). Let w = u - -12. What is the remainder when k(-2) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x + 0*x)*(-2 + x - 2*x + 1).\nAnswer: -5*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.8 - 72. Let a = l - -25.61. What is a rounded to 1 dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424282735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-2)\/6*3. Sort h, -4, 18 in decreasing order.\nAnswer: 18, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 66630, 0 in increasing order.\nAnswer: -1, 0, 20, 66630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -17*p**3\/3 + 2*p**2 - 2170*p. Let a(k) = 7*k**2. Calculate a(h(q)).\nAnswer: 8092*q**2 - 1904*q + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, 15, 50, 91, 132, 167, 190?\n\"Answer: -k**3 + 12*k**2 - 6*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1749*s. Let o(p) = -115*p**2 + 6*p. Let b(i) = -211*i**2 + 11*i. Let y(z) = 6*b(z) - 11*o(z). Give y(x(t)).\nAnswer: -3059001*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64828603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -24. What is the closest to 0.1 in -1, c, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 17 = 2*j, j - 3*j - z = -21. What is the smallest common multiple of j and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -22950299.\nAnswer: -22950299.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.22 + 0.78. Let z = 3 - 2. Which is the closest to z? (a) m (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106280 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 11*w**2 - 11*w + 15. Let h be r(10). Suppose 5*d + 1123 = 3*j, 4*j - h*d - 342 - 1152 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85 - 3?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2 - 3) - 7\/4)\/(2692\/(-86144))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 9 + 11, 0 = 4*v + 5*c + 13. Suppose 0 = -5*q - 5*y - v + 18, -4*y = 8. Solve q*i + 13 + 2 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*m - 2*m + 4*m)*(0*m - m**4 + 0*m).\nAnswer: -31*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q - 8. Suppose 140 + 500 = q*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-738)\/(-4920) + 76\/(-80) - (-197)\/(-60) and (-68)\/82*2\/3.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/12 - ((-273)\/28)\/13. Solve -m - c*n - 12 = -6*m, -4*n = m + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 134436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (17 + -14 + 3) - (-1 - 41)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-64) + 918\/2720. Which is the nearest to d? (a) -0.1 (b) -1 (c) 135\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r + 35. Let m = r - -11. Calculate the remainder when 53 is divided by m\/(-6)*-7*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -508443807 - 5?\nAnswer: -508443812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19116*k**3 - 649*k. Let x(z) = -59*z**3 - 2*z. Calculate -649*x(u) + 2*y(u).\nAnswer: 59*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = 0, 6*t - t + 2*z = -8. Suppose 2*b - o - 2 + 1 = 0, -5*b + o + 1 = t. Suppose 0 = 3*f - 3, 4*d + 2*f - 1138 = b. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/7 + 2*-464. Let k = -496 - u. Let c = k - 291. What are the prime factors of c?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 97980 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818037.\nAnswer: 3, 11, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*x**2 + 79*x**2 + 180*x**2 + 455*x**2 in the form p*x**2 + c*x + f and give p.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -356\/7 - -51. What is the third smallest value in v, -2, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - -6 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/5 - (70098\/210)\/((-1)\/1217) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:06 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/3 + (-385)\/(-165)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -18. Suppose 285*x - 287*x = 0, 4*b - 4*x - 120 = 0. What is the highest common factor of b and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*(p\/p**(-11\/5))\/p assuming p is positive.\nAnswer: p**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(192) + (sqrt(192) - (sqrt(192) - (1 + sqrt(192)))*-4) + sqrt(192))*-5)**2*6.\nAnswer: -57600*sqrt(3) + 523200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dggd when four letters picked without replacement from oddogdggd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 532236*a**2*r + 364595392*a**2 + 44*a*r - 2*r wrt r?\nAnswer: 532236*a**2 + 44*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6756147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(176)*-1 + (sqrt(28)*-1 - -3*(sqrt(28)\/sqrt(4))**2).\nAnswer: -9*sqrt(7)\/4 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 64*k**3 + 34*k**2 - 48*k - 39. Give w(2).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 311122 and -109.\nAnswer: -33912298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 4.5. Is w >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 123 - 39. Does 7 divide (-8)\/d + (-164)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 7. Let w(l) = -9*l - 20. Let q(t) = 17*h(t) + 6*w(t). What is q(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*-4*(-3)\/108?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/9, -0.1, 6 in descending order.\nAnswer: 6, 0.4, 1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -60.325543 and -0.4?\nAnswer: 59.925543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2, 1, 510211 in descending order.\nAnswer: 510211, 1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 33. Suppose -k*f + 10 = 2*f. Suppose -2*q - 2 = 5*w, -q - q + 12 = -f*w. Solve 2*d + 10 = -0*d + q*h, 5*d - 17 = -4*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)\/((i*i*i**(-4))\/i))**28*((i**(2\/3)\/i*i)\/((i\/i**4)\/i))\/((i*(i\/(i**(-2\/23)\/i*i*i))\/i*i*i*i)\/i*i**6) assuming i is positive.\nAnswer: i**(7492\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 4. Let r be w(-4). Let s be 8\/(-1)*(-1)\/r. Solve -2 = -s*p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-142)\/5 + 2\/5. Let z be (6\/(-21))\/(4\/g). Factor 2\/7*s + 4\/7*s**z + 0 - 2\/7*s**5 - 4\/7*s**4 + 0*s**3.\nAnswer: -2*s*(s - 1)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42790105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 651. What are the prime factors of q?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-6))\/((-4)\/(-6)). Suppose l*z = -5*q + 185, q = 3*z + 15 + 18. Suppose -2*a = 2*m - q, -2*a - 4*m + 23 = -5. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, h: 2, q: 3, n: 9}. Give prob of picking 2 h and 2 q.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:38 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14334 and 9162.\nAnswer: 21888018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + 19 + (15 - 13) + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1988, 1911, 1652, 1121, 228, -1117, -3004, -5523?\nAnswer: -8764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**5\/20 - 7*w**4\/12 - 7*w**3\/6 - w**2\/2 - 3*w. Let y be b(-6). Solve 2*g - 4*g = y*a - 23, -5*g = 2*a - 26 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = -3*n - 6, -3*b - 111*n + 112*n + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + 14020842780\nAnswer: 14020842779.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2235?\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 3*l + 2. Let z(o) = 11*o**2 - 8*o - 6. Let w be (2 + -4)*6 - -9. Calculate w*z(r) - 8*x(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 0.2. Let f = -4389.9 + 4390. Which is the fourth biggest value? (a) 0.03 (b) l (c) 3\/4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172875.\nAnswer: 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 1\/4*j + 1\/4*j**3 + 1\/2*j**2 + 2. Factor w(k).\nAnswer: (k + 1)*(3*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 19*w + 28. Calculate g(19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 39*d + 16. Let s(n) = -8*n - 3. Let t = -5629 - -5618. Determine t*s(k) - 2*p(k).\nAnswer: 10*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-4 - 0) + 5) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9\/193, -2\/3, 3\/4, 0.4, 0 in decreasing order.\nAnswer: 3\/4, 0.4, 0, -9\/193, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24882 - -24887. Let y be (7 - 8)*(1 - -1). Sort 3, y, 4, r.\nAnswer: y, 3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -3)*(-10392)\/15. Let u be x\/130 + 10\/65. Solve -114\/5*p**2 - 78\/5*p**4 + 48\/5*p + 18\/5*p**5 + u*p**3 - 8\/5 = 0 for p.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:39 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 12 (c) 0 (d) 402 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 2:08 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 5, d: 8}. What is prob of sequence eedd?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 77*x = -3*x + 1330 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let m(b) = 367*b. What is m(l(n))?\nAnswer: 734*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*a**3 - 24*a**4 - 3 + 31*a**3 - 95*a**3 + 22*a**3 + 3*a**2 in the form z*a + s*a**4 + l + b*a**3 + q*a**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10171350, -10171351, -10171350, -10171347, -10171342, -10171335?\nAnswer: -10171326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 76.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*o + 11*o + 16, -5*i + 4*o = 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -962.11 times 0.2?\nAnswer: -192.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*k - 15. Let o = 22 - k. Suppose -x = -3*f + 2*f + 5, 3*x + 19 = 5*f. Calculate the least common multiple of o and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from kpp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3384 by -18.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w - 40*w + 27*w - 76*w + 40*w + 386*w.\nAnswer: 280*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 11843 plus 0.55478787?\nAnswer: 11843.55478787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -t + 54. Let a = 17 + t. Suppose -6*g + a = -76. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -12\/31, -95, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcrcccrccrrlrcr. What is prob of picking 1 v, 2 r, and 1 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22473120 - -1.\nAnswer: -22473119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 9*z - 7. Let d be g(4). Let p = d - 101. Let a = -51 - p. Solve 3*y - l = -0*y - 3, -a*y = -2*l + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6012124 + 708124. Round d to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3123 - 46823\/15. What is the common denominator of v and ((-1)\/(-6))\/(9\/309)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10 + (8 - 2936\/320)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 9*v**2 - 7*v + 7. Let g be p(8). Suppose s = 3*c - 2*s - 51, -4*c - 3*s = -54. Is c less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2671382, 2671445, 2671508?\n\"Answer: 63*v + 2671319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/1 + (-5 - -4). Let i be l\/9 - 4\/18. What is the second biggest value in i, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5155, -4, 4.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 5. Calculate j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 252*d + 257*d + 55 = 0, -3*d = 4*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/5, -2\/3, -0.0977, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 94 (b) -55\/19 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 67, 136, 241, 388, 583, 832, 1141?\n\"Answer: w**3 + 9*w**2 + 5*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:28 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p - 3. Let k be g(1). Let a(l) = l**3 + 3*l**2 + 49. Let h(q) = q**3 + q**2 - q + 1. Let b(r) = k*h(r) - a(r). Differentiate b(z) wrt z.\nAnswer: 6*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453545701.\nAnswer: 7, 64792243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/63 - (-2)\/7. Solve -k + 2 = d - r*d, k - 2 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -39*q - 105. Calculate p(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186934176 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1413 - -2729. Round l to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 4, z: 1, c: 1}. Give prob of picking 2 v, 1 z, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.067 + -0.157. Let d = l - -0.29. Which is the closest to -2\/5? (a) d (b) 0.03 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34960)\/(-30))\/(-46)*(-6)\/8\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(11\/4))\/(u**(-2\/9)*u))**(-29) assuming u is positive.\nAnswer: u**(2639\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(891) + -2) - (-5 + -1*sqrt(891))**2) + -5 + 3.\nAnswer: -916 - 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 3*w - w)*(-4 + 0 + 5 + (-61 + 33 - 69)*(-2 + 0 + 3)) as c + d*w and give d.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 184.1*-0.3\nAnswer: -55.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 9. Let f be d(5). Let n = -13.1 - -14. Let q = n - 1. Which is the closest to 4? (a) -5 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 1539 - 147 = 0. What is the highest common divisor of 29 and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1370*y - 4 = -1372*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = 1. Suppose -4*z = 5*p - 88, -3*p + 7 - 80 = -5*z. Suppose -4*t = -f + z, -5*f + 4*t = -q - 15. Let v(x) = 6*x + 1. Calculate v(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 247*c + 250*c - 86.\nAnswer: 3*c - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + -3. Let x = 26.99999 + a. What is x rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c - 25*c = -243 + 3. Let m = 609 + -24. What is the greatest common divisor of m and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 3279.\nAnswer: 3279.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from qqqcqc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*t)*(-128 + 125 + 21*t - 62*t).\nAnswer: 82*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y**(-9\/2)*y))\/y**1)\/((y\/(y\/(y\/((y*y*y**(-7\/5)*y*y)\/y))))\/y*y**(3\/4)))**(4\/13))**41 assuming y is positive.\nAnswer: y**(2747\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465 - 31*i**2 - 1466 - 13*i**2.\nAnswer: -44*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-6)*9\/105. Let q be -1 - (-1 - 0)\/1. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/5921 and 13\/186?\nAnswer: 35526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 13*i - 90.\nAnswer: (i - 18)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1011 divide 1718356616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1058, 3703, 8112, 14285, 22222, 31923, 43388?\nAnswer: 56617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*l - 52. Is (l\/50)\/((-2)\/(-9155)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1986 + -1963. Solve 11*y - w*y + 12 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879037032.\nAnswer: 2, 234879629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + 0.06. Let p = 12 + -8. Suppose -s = 3*s - 4*v, 27 = 4*s + 5*v. Which is the closest to 2\/9? (a) p (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92957168 divided by 1886?\nAnswer: 49288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 - t**3 - 678430*t**2 + 678460*t**2 - 3*t - 8 to b + m*t**3 + c*t + f*t**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 125. Determine i(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*y - 94, -3*f - 176 = -6*f + 4*y. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/9, 49\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**2 - 89*z - 64. What is the thousands digit of y(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + 0*f + (2 + 3 - 3)*(4*f - 3*f - 3*f) - 2 + 2 - 2*f + 0 + 0 - 2*f)*(0*f**3 - 2*f**3 + 3*f**3) - f**4 + 6*f**4 - 6*f**4.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000086987618 rounded to 6 dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -142604 (base 7) in base 4?\nAnswer: -12230003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44656\/92733 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momzjcho. Give prob of sequence hmmc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 4. Let j be -8*(36\/8 + -4). Let d be k(j). Suppose -3*p = d + 3. What is the biggest value in p, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.98 + 2. Let v = 30 + -33. Sort 0, n, v in ascending order.\nAnswer: v, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146058.\nAnswer: 2, 3, 11, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208175789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5602183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -37*o**2 + 9638*o + 4947. Determine p(261).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089 + 0.07.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -4 + 1 + sqrt(3888) - (sqrt(192)*-1 + 3 - sqrt(192) - 1*(sqrt(192) - sqrt(192)*1))) + 4)**2.\nAnswer: -104*sqrt(3) + 8113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -20334?\nAnswer: 20335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -77 - 3*o**4 - 17*o**3 + 76*o + 42*o**2 + 4*o**4 + 0*o**4 + 277 + 184*o = 0.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(208) + 0))**2*-3.\nAnswer: -9984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 440505731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12139 times -0.1?\nAnswer: -1213.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 49 + 110. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/13 - 1324*m\/13 - 218994\/13 = 0.\nAnswer: -339, -323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-294)\/12))\/((-2)\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-3)\/3941) + 10 + -7. Suppose -9 = -3*s + 9. Suppose -u = u - s, -4*x + b = 4*u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 4*c**2 + 78*c + 91. Is r(-13) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/103? (a) 551\/2 (b) 7\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137543, -137550, -137559, -137570, -137583, -137598, -137615?\nAnswer: -137634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -l + 7, 0 = 4*l + 3*c + c - 68. Suppose i - 16 = -l. Suppose 4*z = 3*j - 32, -4*z = i + 4. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 22776?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/130 and -45?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {x: 3, u: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.2. Let v = 15 + -14.4. Let i = v + y. Which is the biggest value? (a) i (b) -0.5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 10041*x + 40167\/4.\nAnswer: -3*(x - 1)*(x + 13389)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -212 (b) -1\/39 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(-2 + -2). Suppose -3*r + 12 = q, -48 = -5*o - 4*r + 2*r. Solve -g = g - o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 89. Let r(b) = 76*b**3 - 22*b**2 - 32. Let h(x) = -x**3 + x**2 + 1. Let g(i) = a*r(i) - 44*h(i). Find the first derivative of g(t) wrt t.\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/123396 and 29\/52884?\nAnswer: 370188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 0, 60, -2 in ascending order.\nAnswer: -2, 0, 5, 13, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/10)\/2*-5. Let j = 296 - 294. Suppose -j*z + 5*v = -164, 0*z + d*v = -2*z + 148. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*g + 42 = y, 0 = -5*y - 2*g + 143. Suppose -2*n + 25 - 7 = 0. What is the units digit of 25\/n + 6\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1418 - -1420. Solve -21*r + 19*r + p = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32155 + 32136.863. What is p rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - d**3 - 3*d**3)*(-d**2 + 0*d**2 - d**2) + (-473*d + 473*d + 54*d**2)*(0*d**3 + 0*d**3 + d**3).\nAnswer: 56*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43861 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 2 = y + 3*l, -10 = 5*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 34. Let i = -40 + z. Factor -2 + 9*p + 6*p**i - 3*p**5 + 6 - 9*p**4 - 1 - 6*p**3.\nAnswer: -3*(p - 1)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28020265157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(1\/4))\/c)\/c)**(1\/27))**(-47)\/(((c\/(c**(-4)\/c))\/c)\/(c*c**7)*c**5*c**(2\/3)\/c) assuming c is positive.\nAnswer: c**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = y, 4*y = -25*h + 23*h + 28. Let a = 9 - 5. Let b(p) = 2*p - a*p + 5 - 4. What is b(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1106 = 2*r + 40*i - 42*i, 1663 = 3*r - 5*i. Calculate the greatest common factor of r and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6914 + 55233\/8. Suppose 0 = p - 5*p + 10580. Let m = 10673\/4 - p. Find the common denominator of n and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0*w**3 - 3*w + 4 - 27\/4*w**4 + 0*w**2 - 29\/30*w**6 - 1\/10*w**5. What is the third derivative of d(i) wrt i?\nAnswer: -696*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -8. Let v = j + -1. Suppose -2*x + v = -2*w - 0, -2*w - 3*x = 9. Which is the second biggest value? (a) w (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/525*488\/(-732)\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -10*z + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18219364 or -8\/13?\nAnswer: -18219364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -146, -313, -536, -809?\n\"Answer: q**3 - 37*q**2 - q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3 + 4 - 1 - 2*b. Let y(t) = -10*t. Determine y(w(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-12)\/(-4) - (-21)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4 - 2*n + 2*n**3 + 2*n + 2*n**3 - 2*n**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 126.\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40037741713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 - 7*k - 6. Let t(l) = -l**3 + l**2 + 2*l. Let a(z) = -h(z) - 6*t(z). Determine a(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, -2\/5, -2\/13, -0.5, -10751?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519717, 2, -9.\nAnswer: -9, 2, 519717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -r + 3*u, -3*r - 5*u = -10*u - 134. Find the third derivative of 30*n**3 + 36*n**2 - 6*n**3 + 70*n**3 + r*n**3 wrt n.\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mosknnq. Give prob of picking 1 m and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbfffbfbf. What is prob of picking 1 b and 2 f?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7704 and -79\/60?\nAnswer: 38520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5473 and 0.4?\nAnswer: 2189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.17 (b) 2\/19 (c) -18\/1153 (d) 84 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1897*g + 1840. What is the least common multiple of 437 and m(0)?\nAnswer: 34960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -403\/5. Which is the nearest to d? (a) -2 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -45.\nAnswer: 73\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(-70) + 18\/60?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13032*t**2 + 10102*t + 85. Let z(d) = -8689*d**2 - 6735*d - 61. Let j(x) = -5*a(x) - 7*z(x). Find the second derivative of j(r) wrt r.\nAnswer: -8674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559398869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125 + 2121 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 376, 2991, 10100, 23953, 46800?\n\"Answer: 375*v**3 - 3*v**2 - v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1138*a - 244261. Give u(215).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f*q**3 + 632322*f*q**2 + 106460*q**3 wrt q.\nAnswer: -30*f + 638760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*d + 7*c + 70, 4*d - 4*c - 56 = 0. Suppose -188*h + 166*h + 230 = -650. Does 14 divide (h\/d)\/(2\/49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11610)\/40684 + (-2)\/(-7). Let k = 109711823288941\/31966 - 3432141130. Let t = n - k. What is the common denominator of t and 97\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -60.884. Let r = 0.986 - b. Let h = r - 0.8699325. Round h to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/(r\/((r*r**(-4\/9))\/r)*r))\/r)\/r)\/r)\/(((r*((r*r*r*r**(-15))\/r*r)\/r)\/r)\/r)*r*r*r**(-2\/7)*r*r\/(r*r*r**(-2\/11))*r assuming r is positive.\nAnswer: r**(9322\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(45\/12))\/2. Which is smaller: -16 or l?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2079574396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + (-18 - (-4 + -5 + 9))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-14)*4\/(-10). Let m(h) = h**3 - 5*h**2 + 6*h - 9. Let s be m(4). Let v be (-10)\/(-20)*s*(-1 - 1). Sort -5, v, k in descending order.\nAnswer: v, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -1 - 2 - (-5 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41097030 to the power of 1\/2, to the nearest integer?\nAnswer: 6411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 314.0469 - 314. Let f = p + -0.05906. Round f to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlorbbrrlzrlrrrzr. What is prob of picking 1 l and 1 b?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - f**3 - 103*f**2 + 205*f - 105*f - 101*f + f**4 to the form y*f**3 + u + t*f**4 + g*f + z*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 4*t + 2. Let l be r(-2). Suppose -l*d = 2*d - 72. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 771, 1544, 2317, 3090, 3863?\nAnswer: 4636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*x - 14. Let g be x\/(-4)*(-3 + 5). Let a(o) = o**3 - 9*o**2 - o + 9. Let y be a(9). Solve g*u = -y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1929, 3801, 5591, 7257, 8757, 10049, 11091, 11841?\nAnswer: 12257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.157837445?\nAnswer: -0.063134978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 36 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26275, -50341, -74431, -98551, -122707, -146905?\nAnswer: -171151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)\/o)**27*(o**(-1)*o)**(2\/9))**8 assuming o is positive.\nAnswer: o**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and 113\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681566676 to the power of 1\/2, to the nearest integer?\nAnswer: 26107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from bbfbbfggrfbbfbbgrff?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - 2\/2)*3. Let q = 36 + g. List the prime factors of (-475)\/(-30) - (-3)\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + m = 7, 2*m - 2 = -2*k - 12. What is the units digit of 3 - 1\/(k\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(98) + (0 + sqrt(98))*-5 - (-2 + -4*(1 + sqrt(98))))**2.\nAnswer: 336*sqrt(2) + 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 - g - 3. Let r be y(-6). Let i be (5\/(-15))\/(1\/r). Let q = i - -2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 greater than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3}. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g. Suppose 4*z - 35 - 13 = 0. Let u(y) = -y - 2*y**2 - y**2 + z*y. Let p(t) = 5*m(t) - 2*u(t). What is the second derivative of p(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q - 1\/2*q**4 + 0*q**2 + 0*q**3 + 0.\nAnswer: -q**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 755 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*33\/42*120\/165.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 2 + 9*l**2 + l**3 + l**2 + 7*l. Calculate the least common multiple of 22 and n(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159247 = -342*x + 909595. Solve -2201*o + x*o = -63 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111872 + -111873. Let z = -3 + 4. Let p = z - 0. What is the closest to 1\/4 in r, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 3*l + 106. Let m be v(0). Let k = m - 86. Calculate the highest common divisor of 140 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 9690.892 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/67 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.6, -6\/7, -189?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-276*q - 19966 + 9980 + 9982)*(q**2 - 4*q**2 + 5*q**2)*(1 - 6 - 1) to f*q**3 + a*q**2 + w*q + r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 8*k + 10. Let n be v(2). Suppose 5*m + z = 1966, -n*m - 3*z + 184 + 592 = 0. List the prime factors of m.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 675*l**2 + 2028*l + 9.\nAnswer: 3*(l + 3)*(225*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6 and ((-47)\/(-18))\/((-2793)\/57).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)*w)**19*w**1*w\/(w*w**(-7)*w))**(-36))**(-10\/7) assuming w is positive.\nAnswer: w**(-11160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39077 at least 39080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1487*b - 1501*b = -252. Solve 289*j - 292*j + b = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c + 6. Let h be (-404)\/(-10) + c\/15. Suppose 4*t = -3*y + 43, y - 4*y = 3*t - 33. What is the greatest common factor of h and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 = -10. Suppose -h - w = -1. What is the units digit of (-6)\/(-9) + h\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78806 divided by -26\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -234*0.4\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1*((-3)\/((-18)\/(-12)))\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -176\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2223 and 7410.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -230 + 203.18. Let x = b - -0.82. Is -1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*q - 2*f, 5*f = q - 0*f - 53. Suppose 0 = -m + 5*o + 29, -3*m + 4*o + q + 4 = 0. Suppose -m*j = -55 - 9. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103332 (base 8) to base 3.\nAnswer: -1202100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - -1) + (3 + 1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29924 - -205?\nAnswer: -29719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055203 rounded to 3 decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-27)\/6 + 4 + 1. Let n(k) = -k**2 + 3*k - 10. Let j(r) = 2*r**2 - 4*r + 11. Give t*n(f) - 3*j(f).\nAnswer: -2*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45647131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.9415ml in litres?\nAnswer: 0.1029415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424*h**3 - h**2 + 0*h**2 - 6 - 3 + 2151*h**3 + 11 to u*h**2 + j + y*h + d*h**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 43\/3*z - 55\/3*z**2 + 16\/3*z**4 + 88\/3*z**3.\nAnswer: (z - 1)*(z + 6)*(4*z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 13*y + 82. Let u = 109 - y. Suppose 4*s - 2*v - 12 = u, -5*v = s + 2. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/11)*(((n*n\/n**(-29))\/n)\/n)\/n*(n\/n**(2\/5))\/n*n*n**(2\/123) assuming n is positive.\nAnswer: n**(192359\/6765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, t: 2, w: 5, r: 3, o: 2}. What is prob of sequence tbr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -21 + -1 + 0 + 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.66717 - -0.4.\nAnswer: -2.26717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-148)\/111*(-6)\/(-28))\/((-12)\/1932)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -h + a + 11, 0 = -2*h - 5*a + 55. Let p be (-6)\/h + (-4)\/10. Let n(k) = -k**2 - 3*k - 2. Let t be n(-1). Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/200957 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -4*d - 19 = -5*g, 4*d - 36 = -3*g - 31. Suppose 2*k - g*p = 55, 6 = -r*p + 4*p. What is the greatest common factor of k and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.18753 to two dps.\nAnswer: -22.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12463 - -37544?\nAnswer: 25061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/98 and -31\/48286.\nAnswer: 338002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91.7 + -91.6. What is the second smallest value in -11, 0, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.0626 - -0.0626. Let z = 0.04 + -1.98. Let j = 0.06 - z. What is the smallest value in -0.4, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -419.2 + 418.8. Let y = 1 - 1.5. Suppose -4*n + 20 = -2*h, 1 = 3*n + 5*h - 1. Which is the fourth biggest value? (a) y (b) -5 (c) o (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312 + -1 - -6 - 3.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239495*g - 1738 = 239653*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -20*y**3 + 9015*y**2 - 6745*y - 2250 = 0.\nAnswer: -1\/4, 1, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -26. Suppose 4*d = -3*m + 328 - 36, -4*d + 296 = w*m. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7644814 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-5*(sqrt(99) - sqrt(11))))\/(sqrt(33)\/(3*sqrt(11)*-1))*-2.\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-1566*z**4 + 803*z**4 + 244*z**4).\nAnswer: 519*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3789734, -3789732, -3789728, -3789722, -3789714, -3789704?\nAnswer: -3789692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwjh. Give prob of picking 2 h and 1 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 1111102*z - 103.\nAnswer: 1111102*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 - 52.\nAnswer: -54.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0474 and -0.07.\nAnswer: 0.003318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -11.8003\nAnswer: 6.8003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 4*c + 10, 0 = w + c - 7. What is the third derivative of 0*s**4 - s**w - s**4 - 3*s**2 + 6*s**4 wrt s?\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 3. Suppose 0 = 4*r - 19 - 17. What is the remainder when z is divided by 1\/(0 + 1\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.3 - 0. Let q = k + -8. Let d = q - 0.2975. What is d rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*z - 11 = 4*n, 4*n - 5*z + 52 = -51 + 100 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -80.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36799\/(-5257)*-1*((-2)\/1)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1998, -4114, -6280, -8496, -10762, -13078, -15444?\nAnswer: -17860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 34*r**2 - 233*r + 200 = 0. What is r?\nAnswer: 1, 8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -117 (b) -0.2 (c) 0 (d) 30 (e) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 - 377 = 7*u. Suppose 5*w + 4 = -2*a, a - w = 3*w - 15. Let v = 4 - a. Solve -u = -5*g, 4*h + 0*g - v = -5*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35315253 (base 7) in base 6?\nAnswer: -150422323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 3*g + 1. Calculate the remainder when c(-4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510454 by -13433.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 21*j**2 + j - 11. Let w be y(21). Suppose -2 = -w*d - 2. Find the third derivative of -3 + 5*q**5 - 7*q**2 - q**4 + 0*q**5 + d*q**4 wrt q.\nAnswer: 300*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 25*g - 18. Let z be f(-24). Is (0 - (9 - -105))\/((-1)\/z) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12704281, -12704279, -12704277, -12704275?\n\"Answer: 2*x - 12704283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 5 + 0 + d**2 - 4*d**2 to the form q*d**2 + a*d + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -28007*a + 392138. Determine d(14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 + -3511?\nAnswer: -3616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2979 - -15452. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 - 262*u + 212628\/11.\nAnswer: 2*(u - 1363)*(u - 78)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 444172*t + 172627669886.\nAnswer: 2*(t + 777301)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/4, -2, -0.14367?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -75, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 21*k**2 - 22*k + 23. Calculate i(20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 4 + 6 - 89) + -24 + -5 + 31?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*c = -30*c + 307*c - 6665 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*(-140)\/42*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968946976.\nAnswer: 2, 113, 267961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59882 and -0.45?\nAnswer: -26946.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 4687, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 51*w + 26*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**3 + 2*n - 5. Let x = -18653 + 18646. Let z(r) = 16*r**3 - 3*r + 7. Determine x*c(g) - 5*z(g).\nAnswer: -3*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*d - 46786896 = 34*d. Round d to the nearest one thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + v + 22 = 6*d, d + 2*v - 11 = 0. Suppose 11*g - d = 44. Calculate the highest common divisor of g and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 - 8*t**4 + 64*t**3 + 8*t**2 - 60*t = 0.\nAnswer: -5, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 - -85. Let m(x) = -2*x. What is m(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7124*d**4*w + 28*d**3*w + 6*d**2*w - 1781*d*w + 1877*d + 3 wrt d?\nAnswer: -85488*d**2*w + 168*d*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 9. Let x be u(-5). Suppose -x*l + l = 15. Suppose 0*m - 5*p - 13 = -3*m, 0 = -2*m + 5*p + 17. Sort l, m, 1 in descending order.\nAnswer: 1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 4*u**2 - 7*u + 3. Let z be i(5). Let p be z\/1 - (-1 + 0). Is 12 a factor of (-126)\/(-24)*(-16)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*f**5 + 22*f**4 + 1922*f**3 - 165297930*f**2.\nAnswer: 3420*f**2 + 528*f + 11532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 + 222*k - 141. Calculate h(-26).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*(-3)\/(5 - -1). Let w be 321\/(-107)*2\/(-3). Solve 2*v + 16 = w*i, v + 0*i = u*i - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5454 and 88072.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424408659?\nAnswer: 3, 61, 97, 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4495532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, r: 3, o: 1, d: 1, j: 3}. Give prob of sequence odr.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 14*f**2 - 110*f + 110*f + 42*f**3 - 34*f**2.\nAnswer: 42*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - v + 6 = -0*v, 16 = 4*f - 2*v. Suppose 2 = -f*z, a + z - 21 = -a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/9 (b) -0.035 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20047 - -37371. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/341 and 95\/15246?\nAnswer: 472626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -902, -6\/7, 7\/22 in ascending order.\nAnswer: -902, -6\/7, 7\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2 (c) 2\/5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {t: 2, q: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43330751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 33*w - 588. Let t(i) = i - 19. Let p(o) = 2*h(o) - 62*t(o). Let r(a) = -2*a**2 - a**2 + 2*a**2. Determine p(r(c)).\nAnswer: -4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -13*z + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -31. Let m be (((-2)\/(-3))\/((-18)\/54))\/(-2). Suppose -12*z + 15*z = -3. Sort z, m, y in decreasing order.\nAnswer: y, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h + 23*h - 61*h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r. Let a(v) = 3*v**2 + v. Suppose 3*g + 46*g - 98 = 0. Give g*l(t) + a(t).\nAnswer: t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -94*f**2 - 3. Let l(n) = -6*n**2. What is l(s(j))?\nAnswer: -53016*j**4 - 3384*j**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 57672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2134.451 + 2146. Let f = i - 11.6. Let w = -25.949 + f. Put 1, 0.5, w in decreasing order.\nAnswer: 1, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3824 divided by 4\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 1086.\nAnswer: 21720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 46 = 5*u - 34, 2*g = 3*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 75\nAnswer: -7\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46840111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 36. Let j(r) = -r + 33. What is the remainder when j(x) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6)*135\/3. Suppose -2*r - r = g. Suppose 3*t - 12 + 0 = 0. Sort t, 5, r in ascending order.\nAnswer: r, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6374 or -6373?\nAnswer: -6374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -514\/5 + 2111\/20. Let f = n + -85\/28. Which is the smallest value? (a) 0.2 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 - 13*n**2 + 52*n**3 - 28*n**2 - 47*n**2.\nAnswer: -4*n**2*(n - 11)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830*d - 4*d**3 - 3 + 830*d - 2*d**3.\nAnswer: -6*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4, -843*u - 7 = -847*u + 5*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 5016891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 3, -0.3, 0.12, 122.8 in decreasing order.\nAnswer: 122.8, 3, 0.12, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c - 28. Let x be h(3). What are the prime factors of (x\/56)\/((-2)\/(-16)) + 55?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 + 20 = 5*n, -2*f - 10 = 0. Solve -4*j - 8 = 2*p - 9*j, 5*p - 9 = -n*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 734.0477 + -734.5. Let l = c + 0.433. What is l rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 130. Let j be y(32). Let p(o) = -o - 7*o + j*o - 12 - 7 + 16. Let r(g) = -2*g - 1. Calculate -4*p(s) + 11*r(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 - 7635*s**2 - 1089813*s + 3338235 = 0. What is s?\nAnswer: -2393, -155, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 35*z + 33. Is 24 a factor of j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 - 169143*a\/4 + 84573\/2.\nAnswer: -3*(a - 1)*(a + 56382)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 + -2 - ((sqrt(5) + -2)**2 + 3)) + ((sqrt(55)\/(sqrt(11)*-2) - sqrt(5)) + (sqrt(5) - (sqrt(35)\/sqrt(7)*-3 + sqrt(5))))**2.\nAnswer: -11\/4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k**4 + k**2)*(k + 2*k - k) + (-2*k**2 + 2*k**2 - 3*k**4)*((-6 + 2 + 2)*(0*k - 2*k + 0*k) + 2*k + 2*k - k).\nAnswer: -17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {c: 1, a: 2, i: 1, d: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6157 + 8?\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b - 8*b + 19 - 21*b.\nAnswer: 9*b + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1756 and 0.27.\nAnswer: 474.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {h: 2, e: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 276e + 31b3?\nAnswer: 5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.75726562406391 and -0.3?\nAnswer: 3.05726562406391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 22*t - 56. Let s be g(9). What is the highest common divisor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/151170 and -79\/22.\nAnswer: 1662870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261 + 264. Suppose 0 = q + 3*g - 956, 4*q + k*g - 1921 = 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.05 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n + 4, -20 = -3*p + 4*n. Calculate the greatest common divisor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23740744 is divided by 550?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.06 + -47.94. Let h = b - -48.9907. What is h rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, -2, -4, 2\/185, 28 in ascending order.\nAnswer: -4, -2, 2\/185, 9\/2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = -0*v. Suppose z - v*z = -250. Let a = z - 5. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.505639cm to kilometers.\nAnswer: 0.00007505639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67167920, -67167918, -67167916, -67167914, -67167912, -67167910?\nAnswer: -67167908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-four fifths of a decade?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 8*a - 7. Let l = -10 - -19. Let x be b(l). What is the third derivative of 11*t + 3*t**3 + 3*t**x - 11*t wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 14*o - 4*y + 13, 867*o - 8*y + 12*y = 871*o + 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 3, 0.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from whpyvyyhvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.0832mm in micrometers?\nAnswer: 794083.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 122*m**2 + 18*m - 16. List the prime factors of g(-4).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/24 and -7 + (-7)\/(840\/(-1174)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -142*d - 7. Let p(m) = 3*m**2. Calculate p(w(x)).\nAnswer: 60492*x**2 + 5964*x + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442513.\nAnswer: 41, 43, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 2 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9410 + 9526. Suppose 0 = -2*z - 3*m + 43, 0 = -5*z + 2*m + 12 + 86. Calculate the remainder when i is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389671.\nAnswer: 3, 79, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 91*p - 670. Determine n(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -18\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from lffffffffffff?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344722 divided by 49246.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33812093 by 9131.\nAnswer: -3703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 231 divided by -33\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h - 10. Let t be (-1276)\/h + 2\/(-13). Let q = t - 45. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 y, and 2 i when four letters picked without replacement from iycyyyypiyyiyy.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20856 - 3519. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 e, and 1 w when four letters picked without replacement from rqeewereq?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1202222121 (base 3) to base 12\nAnswer: -182b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c*c*c)\/c*c*c**(-6\/7)*(c**(-2\/47))**(-33) assuming c is positive.\nAnswer: c**(-2781\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*w + 480*w = 240*w - 100 - 50. Suppose 3*r + 2*a - 434 = 0, -5*a = 6*r - 2*r - 588. What is the remainder when r is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-27))\/(9\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -437, -816, -1191, -1562?\n\"Answer: 2*b**2 - 385*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2546*c - 2*c**4 + c**4 + 1 + 2*c**2 + 2548*c in the form l*c**3 + g + d*c + q*c**2 + h*c**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (354\/12 + 3)*(-32)\/(-40). Calculate the common denominator of (3*4\/(-462))\/(r\/52) and -149\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -30. Let w = a - -5. Suppose w + 5\/3*n**3 - 2\/3*n - n**2 = 0. Calculate n.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 3. Let j(h) = -1. Calculate j(z) + r(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/55 and 23\/363715?\nAnswer: 363715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let m(a) be the second derivative of 5*a**3\/6 - 65*a. Determine b(m(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i. Let g(t) = 2*t**3 - 19*t**2 + 11*t - 14. Let w be g(9). Let n be 3\/(3 + (-6)\/w). Determine u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2006, 4003, 6000?\nAnswer: 7997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 77\/22*(-3)\/126\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvvxvxvxvvvvvxvvxvx. Give prob of sequence vvvv.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjeccsbeybsybsbscsyy. Give prob of sequence scsb.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05794848566 to 6 decimal places.\nAnswer: -0.057948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73386390.\nAnswer: 2, 3, 5, 7, 11, 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a - 6. Let b(y) = 2*y**2 + 45*y + 139. Let v be b(-20). Suppose 228 = v*u + 33. What is the remainder when g(-5) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.7 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - 13\/(-4). Suppose -l - 4*l = -k + 5, 0 = 5*k + 4*l + 4. Suppose k = g*p - 12 - 3. Solve 29 = 2*s - 5*o + 11, p*s = -5*o + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 2, 3, 1, 4.\nAnswer: -38, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)**(8\/9)*n**(1\/19)*n**(6\/7)*n assuming n is positive.\nAnswer: n**(3350\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 618, 1335, 2324, 3585, 5118, 6923?\nAnswer: 9000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/9 + 266*n**3\/9 - 1088*n**2\/9 + 1096*n\/9 = 0. Calculate n.\nAnswer: -137, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 3)*(-21 - 1). Let q = l - 33. Let t = 110 + -66. Calculate the highest common divisor of q and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 4 + 1\/42*w**7 + 0*w + 5\/6*w**4 - 1\/3*w**5 + 0*w**3 + 3*w**2 - 1\/24*w**6. Factor f(b).\nAnswer: 5*b*(b - 2)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyv when four letters picked without replacement from yyvyyyvdyyvdveyvyd.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -48900?\nAnswer: -48904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 14*y + 0*y**3 - 1 + 0*y**2 + 2\/5*y**6 - 3\/20*y**5 - 3\/2*y**4 - 1\/14*y**7. Let j(k) = 0. Calculate k.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose r*q - 3*c = c - 4, 2*c = 5*q - 4. Solve q*s = s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Let s = -101\/104 + 9\/8. Let f = -0.004 + -0.996. Which is the closest to f? (a) k (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*x**3 + 1598*x + 10*x**2 + 6*x**2 - 15*x**2 - 1 wrt x.\nAnswer: -1320*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 10:56 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56099 or 56100?\nAnswer: 56100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2581 is divided by 159.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -3*u - 0*s + 4*s, 0 = -5*u + 4*s - 71. Let p(r) = -2*r + 3. Let b(c) = 5*c - 9. Let x(o) = u*p(o) - 4*b(o). Give x(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14285 bigger than 14293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*i = -1090, -4*i = -0 + 20. Calculate the remainder when 664 is divided by r.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 381207*q**3 - 381208*q**3 + 10 + 3*q - 11. Let b = -5 - -9. Let y = b - 0. Give z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*u - 37, 3*t = 3*u + 8 + 13. What is the remainder when 31 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:22 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(36)\/(sqrt(84)\/(sqrt(7) + sqrt(21)\/sqrt(3)) + sqrt(12)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184773993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**26\/n*n*n*n\/(n*n*n*n*(n**(-14\/5)\/n)\/n))\/(n**(-31)\/(n**(-2\/13)*n)) assuming n is positive.\nAnswer: n**(3942\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 1, u: 2, y: 2, k: 1}. Give prob of picking 1 k and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/6 - 52*c. Let h(a) = -39*a. Calculate h(o(x)).\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1130*z + 1132*z - 68. What is the least common multiple of 23\/3 + (-5)\/(-15) and z?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -4132\nAnswer: -3\/2066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 395157980 to the power of 1\/3, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:53 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (74 + 4*d - 74)*(-5663*d + 0 + 18 + 5661*d) in the form i*d**2 + k*d + t and give k.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5155*s**4 - 1216*s wrt s?\nAnswer: 61860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195 + 291. Let q be (-2)\/(-3) + (-40)\/d. Suppose -4*f + 16 + 4 = 0. What is the third biggest value in f, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -1 + (sqrt(192) - (sqrt(192) + -2 + sqrt(192) + sqrt(192)))**2.\nAnswer: -56*sqrt(3) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -100*a + 99. Let x be c(8). Let y = x - -1034. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*u**2 - 1058*u**2 - 1206*u**2.\nAnswer: -1799*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 - 3.9. Suppose 3*l - 8*l = 0. Let f(n) = -n**2 + n - 2. Let i be f(l). Put i, j, 4 in descending order.\nAnswer: 4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -a - 2*j - 0, 12 = 4*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.8. Let i = 558\/7 - 80. Which is the closest to i? (a) d (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/15 + (-2)\/(-10). Suppose 0 = q - 1. Suppose -q = -o - j, 4*o - h*j - 10 + 0 = 0. Solve -3*l + 18 = o*u, -3*u - 11 = -4*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 16*i**2 + 2028*i + 171351. Let a(j) = -25*j**2 - 3042*j - 257025. Let h(v) = -5*a(v) - 8*p(v). Determine c, given that h(c) = 0.\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (2 - (-1 - 0)). Is a at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321 + 273 - 139 - 2*s**3.\nAnswer: -2*s**3 - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 4609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/3 + 5715041*r**4\/3 - 11430091*r**3 + 17145141*r**2 = 0.\nAnswer: -5715047, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o + 4. Let g(q) = -2*q + 2. What is 6*g(j) - 3*m(j)?\nAnswer: -57*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5774.506 nanograms?\nAnswer: 5.774506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 g when three letters picked without replacement from {r: 1, i: 12, u: 2, q: 1, g: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 9, 1\/2, -6, 4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v + 16 = 79*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmotaammaj. Give prob of picking 1 t, 1 j, and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s - 2. Let t be b(6). Suppose -38 = -4*o + o + t*i, 3*i = -4*o + 59. Is 592\/o + (-14)\/49 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k = -133*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62\/3 - -22. Let v = 13.3 + -13. Put v, t, -2\/5 in increasing order.\nAnswer: -2\/5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26133 is divided by 3732.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 214932493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gju when three letters picked without replacement from uuugujg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -100754.406 to the nearest ten.\nAnswer: -100750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7255*o - 2*k + 88 = -7256*o, 5*k + 221 = -2*o for o.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:29 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 69. Suppose r*w - 1216 = 290. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133320213 + -4?\nAnswer: 133320204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3280 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-456)\/(-2432)*(-64)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -21*g. Let v(l) = -4400*l. What is v(s(q))?\nAnswer: 92400*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368.385um to millimeters.\nAnswer: 0.368385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58301 divided by -1.\nAnswer: -58301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1627 = -25. Find the common denominator of (g\/(-12))\/(2 - 5) and -3\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*n**4 + 0 + 2\/3*n**2 + 0*n**3 + 0*n.\nAnswer: -2*n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131937.\nAnswer: 3, 13, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -24299.6 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10082*r**2. Let c(i) = -4*i**2. Calculate y(c(t)).\nAnswer: -161312*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 14. Let d be 67\/(67\/(-10)) + 10. Let p(m) be the first derivative of 0*m**2 - 15 + 2\/3*m**3 + d*m. Determine p(g(x)).\nAnswer: 8*x**2 - 112*x + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*(-9)\/(-45)*(-171)\/513?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116712 and 0.3?\nAnswer: -35013.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24033 - 12176. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from yycmymmyccmyyccyy.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/143 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120771)\/(-17346) - 7) + (-5)\/(-70).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 481 - 193 = 0. Suppose -a*j = -51*j + 60. Solve 0 = b - j*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.44395\nAnswer: 2.21975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 2588?\nAnswer: 2591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 2*x + 2*x + (-1 + 3 - 4)*(0*x - x + 3*x) - 13*x - 48*x + x.\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67055409.\nAnswer: 3, 61, 67, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-508)\/(-18) + (-2)\/9. Let x = -53 + 95. Calculate the highest common factor of x and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Let j(h) = h - 2 - 5*h - 2*h. Let w(c) = -3*g(c) - j(c). Let r(u) = u. What is 2*r(o) - w(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Suppose l = -4*r - 8 + 186, -3*r = 2*l - 131. Let c = r - 45. Let y(j) = -4*j + c*j - j. Calculate y(i(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-18)\/200)\/(60\/1480) and -89\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3585*s**3 - 6*s**2 + 8*s + 329. Let z(x) = -3587*x**3 + 5*x**2 - 7*x - 329. Let y(k) = 5*t(k) + 6*z(k). Find the second derivative of y(f) wrt f.\nAnswer: -21582*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 10) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 80\/35 - (-2406)\/42. What is the third biggest value in p, 5, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9 = -j, 5*d - 4 = 7*j - 15*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5219 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 6, 0 = -s - s - 2*r + 6. Suppose 4*h + 9970 = 10006. Solve 4*t = s*a - h, 5*t - 4*a = -a + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + -15 + 5 + -2 + -81 + 96?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-60)*4 + 3*(-4)\/24?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 55*k**2 + 8*k + 850. Let n(y) = -18*y**2 - 3*y - 283. Let c(q) = -8*n(q) - 3*t(q). Differentiate c(u) with respect to u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 1:51 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1140)\/24)\/(-19)*((-2508)\/(-10))\/19\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -119*g**2 + 136*g + 273. Determine z(-2).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -432350 - 320?\nAnswer: -433000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3986 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 5. Let c be a(-9). Suppose -2*o - v = 14, -2*o + 0*o - 5*v - 30 = 0. Sort c, o, 1 in decreasing order.\nAnswer: 1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47 + 15328?\nAnswer: 152a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1961 + -1946. Solve -4*n - 2*a + 16 = 0, -8*n + 5*a = -7*n - y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856331 is divided by 1856242?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 13) + 31 + -20 - -8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 9 - (-2 - (-5 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**4\/7 - 11*o**3\/7 + 6*o**2\/7 + 8*o\/7 = 0?\nAnswer: -4, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and 16.\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 4. Let a(h) = 15*h**2 + 5*h**2 - 26*h**2 + 9*h**2. Determine a(y(r)).\nAnswer: 3*r**4 + 24*r**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*b + 21, -2*i + 0*b - 4*b = -18. Let j = -3 - i. Does j = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqqqyqyqqqqqubrqwqy. What is prob of sequence yrw?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m + 2*g - 137, 2*m = 5*g + 49. Let n(o) = -o. Let c be n(-2). Let f = 1 + c. Calculate the greatest common divisor of m and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*q + 11, 5*q = 2*o - 1 - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 104 = 5*n, 69*z + 2*n + 3*n + 250 = 424 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5411?\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + (-8)\/3. Let a(o) be the first derivative of -o**3\/3 - o**2\/2 + 5037. Determine a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -4*l - 12. Suppose -3*i = 4*c + 8, l*i - 2*c = -i + 26. What is the remainder when 17 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-12)\/(-5))\/(20\/(-50)) - -176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3585 and 48995.\nAnswer: 146985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - 4) + 2)*1*34\/6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + -6 + 3 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174673 is divided by 286?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1507*s**2 - 2*s + 72?\nAnswer: 3014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 4. Let s be 0 + -1 - (1 + -6). Let n be o(s). Let z be 1\/n + (-2)\/(-8). Solve q + 0*q - 4 = z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -47, -8, 55, 148?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759*g + 1756*g + 5*z = 17, -3*g = z - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18846277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-94)\/8)\/(154\/(-1848))*(-7)\/21.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.912 + -15.912016127. Round z to seven decimal places.\nAnswer: -0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (76 - 78)*(-1 + (-23722)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 113847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2469, -5242, -8333, -11748, -15493?\n\"Answer: -d**3 - 153*d**2 - 2307*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 5 + 5*z - 8*z. Determine s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/(4 + (-15)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1.42.\nAnswer: -0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2760 - -2762. Let g(z) = 2*z. Let n(s) = -9*s + 7. Calculate p*n(x) + 10*g(x).\nAnswer: 2*x + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637793, 1275582, 1913371, 2551160, 3188949?\nAnswer: 3826738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*k**4 - 165*k**4 - 3*k**5 - 13*k + 331*k**4 wrt k?\nAnswer: -60*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = 10*o - 1321. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226 a factor of 1393539889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 7:17 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/(-14)*2 + -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {a: 7, y: 1, b: 3, w: 1, s: 3, x: 2}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (566\/2 - 2)*-1. Let w = j + 289. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1869\/688 + 105\/86. Find the common denominator of d and (-954)\/192*4\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 + 8. Suppose 7 = -a - 2*k - 0*k, -3*k - 6 = -3*a. Let f be -9 - a - (-2 + 2)\/(-1). Determine n(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132183 and 48731466.\nAnswer: 146194398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 138 + 6572?\nAnswer: 6721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 + 107 = 0. Suppose 0*r - x = -5*r. Suppose -o + 3 = -r. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n + 5. Let l be q(0). Suppose -l*z + 3*z = 0. Suppose y + 3 - 17 = z. Calculate the highest common factor of y and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175288 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -12. Solve -i*v = -9*v - 5*u + 15, -3*v - 26 = -4*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 2, z: 2, d: 13, b: 1, j: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - -0.5. Suppose 0 = -3*j + 2*a + 22, 0 = -3*j - 0*j + 4*a + 26. Let q be 1\/(-3) + (-1)\/j. Is q greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x = -54*x + 390*x - 4968 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68353361*c**3 + 135612468*c wrt c.\nAnswer: 410120166*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h - 6. Let d be s(3). Let u = d - -13. Calculate the remainder when 72 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 2. Let l be t(7). Let i(u) = -u**3 + 6*u**2 - 6*u + 6. Let g be i(l). Is 17 a factor of (g\/(-3))\/((-4)\/204)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/(-10) + (-18)\/(-45). Factor -7*x**4 + x + 3*x**3 + v*x**4 - x.\nAnswer: 3*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (135\/30)\/((78\/(-56))\/(-13)). Solve 47 - g = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + -295?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r + 2541 = 63*r - 20*r. What is the greatest common factor of 1749 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249.3 - 84. Let j = 166 - v. Which is the second smallest value? (a) j (b) 4\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15594454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 - 12*p + 72. What is u(6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -14*m**3\/9 - 12*m**2 - 10*m\/3 + 19. Factor j(w).\nAnswer: -2*(w + 5)*(7*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 11*s - 2. Let q(k) = -k**2 - 5*k - 1. Let w(v) = -6*o(v) + 13*q(v). Suppose 0 = b - p - 0*p - 1, p - 9 = -4*b. Let c = 0 - b. Give w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(76\/(-171) - 410\/(-738)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 323. Let x(t) be the second derivative of t**4\/12 + 3*t + 15. What is g(x(i))?\nAnswer: 2*i**2 - 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10920 = 268*g - 289*g. Calculate the highest common factor of g and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-67)\/(-5) + 3\/5. What is the highest common factor of 35 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 13*i**4 + 6*i - 12 - 4*i + 11*i**4 to p + s*i + c*i**3 + o*i**2 + k*i**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22268 - 21906. What is the greatest common divisor of o and 34571?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(sqrt(3168)*2 + sqrt(3168)) - (sqrt(3168) + 4*sqrt(3168)*-2))\/(-4*sqrt(1331)*-2 - (1*sqrt(1331)*-2 + sqrt(1331))).\nAnswer: 40*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**4*w**2 + 283*a**3*w**2 - 16*w**2 + 9*w wrt a.\nAnswer: -4*a**3*w**2 + 849*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 34. Let x(t) = -3*t**3 + 30*t**2 + 3*t - 32. Let s be x(10). Put 0, u, 17, s in descending order.\nAnswer: 17, u, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 35*l**2 + 2*l + 4*l - 98*l**2.\nAnswer: -63*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 10:26 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by -266194.\nAnswer: -81\/133097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 4, m: 6}. Give prob of picking 1 h and 3 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.6 (b) -0.5 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254829718\/15553 + 2126319\/151. Let h = 1772 - -531. Let z = j + h. Is z < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3462, 27732, 93608, 221892, 433386, 748892?\n\"Answer: 3467*n**3 + n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-45) - 848\/1908)*5*-3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/16)\/(1\/8). Solve 3 = t - a*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 153 = -3*s. Let j(q) = 21*q + 1221. Let g be j(-58). Calculate the greatest common divisor of g and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = 735. Suppose -5*t = 5*r - i, 0 = t + 5*r - 40 - 29. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480873, -480873, -480889, -480933, -481017, -481153, -481353?\nAnswer: -481629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 197*b - 979. Let o be q(5). Solve 5*a - 2*n = -21, -a = -2*a + n - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/11 + 10*f\/11 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50391 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (19174\/(-3))\/((-100)\/(-12) - 9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -74 + 28*j + 227 - 11*j + 33*j. Let k be c(-3). Solve k*o - 2*o = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188\/5 + -37. Which is the biggest value? (a) -1\/4 (b) 0.5 (c) -6 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.3. Let i = 3 + -2.6. Which is the closest to 0.1? (a) -3 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4224 and 0.2.\nAnswer: -844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312800 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12486464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -14*z + 40. Let i(v) = -19*v + 47. Let c(d) = -3*i(d) + 4*l(d). Calculate c(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 86, 140, 198, 260, 326?\n\"Answer: 2*j**2 + 44*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2 + 8 - (-17 - -24)) - -41.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 359 and 1436?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from omoommmddmmoommd?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/60*(192\/(-39))\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3 - 14)) + (-127 - -56)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*o - 4*z, 34 - 5 = 3*o + 4*z. What is the third derivative of -7 - 29*q**2 + o + q**3 - 12*q**2 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 92 - 1254. Let f = -84 - t. What is the remainder when f is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 65 - 7 = 0. Calculate the remainder when 119 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13699541533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -1.2. Let g = 81.42 + -81. Let j = g + -0.42. Put 3, c, j in decreasing order.\nAnswer: 3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9333347*r**4 - 5093593.\nAnswer: 37333388*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.82, -1, 119, 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/131, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 23*z**2 - 5*z**2.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s + 3. Let y(d) = -d. What is v(i) - 2*y(i)?\nAnswer: 7*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2. Let o(d) = 7*d**2. Let k(v) = -6*j(v) + 5*o(v). Let h(w) = 1 - 2 - 2 + 3 + 232*w. Determine k(h(n)).\nAnswer: -53824*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1330460 = -2029549. Suppose -6*h + 5*h + 1119991 = 3*s, 3*h - 3*s = m. Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1028 >= 1.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d + 3*c = -12, 0 = c + 4. Let o = 3 - d. What is the smallest common multiple of (3 + -2 + -2)*-4 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37020 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*i = -i - 264, 4*l + 3*i - 256 = 0. Suppose -3*a + 3*t + 0 = 33, 5*a - 2*t = -l. What is the smallest common multiple of 12 and 19 - 1*a\/(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118851?\nAnswer: 7, 109, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 5, q: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 151919992.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273 is divided by 140?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 235.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 8*n + 7. Suppose 6*b + 24 = 108. Let a be (18 - b)\/(2\/3). Give i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 9:38 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000777922 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 2196\/96)*(-4)\/3?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 10407488?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 19 = 7*n. Let h be (((-4)\/1)\/1)\/(3 - n). Let j be h + 8\/(-2) - (-43)\/22. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38 - 4)*2\/3. Let z = k - -39. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49704804.\nAnswer: 2, 3, 17, 241, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 3358.\nAnswer: 67.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 309246 smaller than 309238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 52 - 10 = 3*x, 0 = 4*p + 2*x - 40. Solve -4*m - 6 = -t + p, t = m + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/(703\/37)*-5.\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-3))\/(2\/3). What is the least common multiple of (5 + -4)*k\/(-1) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2 + 47. Suppose -2*z - z = -6. Let d(g) = 21*g**z - 3*g**2 - g**2. Determine d(u(y)).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7158816*m**3 + 32459176?\nAnswer: 21476448*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43574 and 2.\nAnswer: 43574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*x. Suppose -2*g + 3 = -x. Is (77\/2)\/(g\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 5*g + 2*g + 4*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18158 + 18157.8. Sort -2\/11, 193, m, 4, 1.\nAnswer: m, -2\/11, 1, 4, 193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559488 divided by 6?\nAnswer: 1593248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.34.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333957\/22 + -15176. What is the common denominator of n and ((-9)\/7)\/((-16)\/(-7))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 160 - 111. Let t = 50 - q. Which is bigger: t or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -660, -883, -1036, -1095, -1036, -835, -468?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**8\/8960 + z**7\/3360 + z**6\/960 - z**5\/160 + 19*z**4\/12 - z. Let x(g) be the third derivative of t(g). Factor x(m).\nAnswer: -3*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + p = -25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1395558 and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 47*d - 924. Determine g(38).\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Let z be ((-26)\/1365*-21)\/(6*8\/(-5)). Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*b**3 + 225*b**3 - 46*b**3 + (2 + 0 - 3)*(5*b**3 - 3*b**3 - 4*b**3) to the form u + y*b + s*b**2 + d*b**3 and give d.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 121149 (b) -3\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - p. Let v be x(-3). Let w = v + 12. Sort 2, -1, w in increasing order.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5016 divided by 152.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m = 104 + 26. Let r = -14 - -29\/2. Find h, given that h + 0 + 3\/2*h**m + r*h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:04 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = 0, 0 = -76*n + 80*n + 4*x - 6072. Is 1514 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c + 4. Suppose 2*d + 7 = v, 58*d - 56*d - 4*v + 16 = 0. What is r(d)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195564?\nAnswer: 2, 3, 43, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.3 (b) 10 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/42942 and 16\/609?\nAnswer: 8717226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfwt when four letters picked without replacement from {c: 2, t: 1, k: 1, f: 1, w: 1, o: 2}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 711 divided by -2\nAnswer: -711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 18 = 8*k, -913*i - 921*i + 7 = -k - 1838*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/2 (b) 5 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(((-2)\/7)\/((-126)\/(-19404)))\/(-3)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 567\/(-126)*((-132)\/27)\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 4*l + 20. What are the prime factors of n(17)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + -2?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 - 9*i**2 - 2*i**2 + 26*i**2.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4187303 rounded to three dps?\nAnswer: 0.419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 1. Let u = -39 - -39. Let m be t(u). What is the units digit of (-1)\/(m*(-3)\/225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = -q, -k - 3*q + 5*q - 9 = 0. Calculate the smallest common multiple of 10 and 7*k*10\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 14*b**2\/5 - 53384*b\/5 + 638592\/5 = 0.\nAnswer: 12, 26608\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/5 + (-4)\/(-10). Let b(l) = -l**3 - 6*l**2 - l - 6. Let a be b(i). What is the common denominator of 221\/(-36) + a + 19\/76 and -61\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Suppose 8428271 = t*n - 4771729. Round n to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*c + 10 = 1, 4*q = -5*c + 1. Suppose 3 = -r + 2*r - 2*w, 0 = 3*r + 5*w - 42. What is the remainder when r is divided by (-1 + 0)*(-4 + q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(((-210)\/18)\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let n = -1713974\/11 + 155658. Let j = n + 158. Put -1\/4, g, j in descending order.\nAnswer: g, j, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1306, 1305, 1304, 1303, 1302, 1301?\n\"Answer: -d + 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 1. Let f(c) = -6*c**2 - 8. Let m(g) = -f(g) + 3*w(g). Find the first derivative of m(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 7*g + 3. Let v be z(-6). Let y be (-3)\/v + 2 + 4. Let n be ((-2)\/7)\/(4\/y). Which is the nearest to -0.4? (a) 0 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 72*u**2 + 4*u + 72.\nAnswer: -4*(u - 1)*(u + 1)*(u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2151 and -19\/151?\nAnswer: 324801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7 + 0.7. Let f = w + -0.1. Let q = f + -4.299991. Round q to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436568.9 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**4 - 783116*x**3 - 4925681*x**2 wrt x?\nAnswer: 120*x - 4698696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*a - 90, 36*c - 38*c = -6*a + 48. Sort 9, -4, -2, 0, c in descending order.\nAnswer: 9, 0, -2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**3\/3 + 27. Let f = -941 - -942. Let a(y) = -8*y**3 + 48*y**2. Determine f*a(w) - 48*b(w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268 - -93. Let p = 156 + y. Let b = 25 - 44. Is b at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/6897 and 52\/25289.\nAnswer: 75867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*q**(3\/8)\/q*q)\/(q\/(q\/q**3)*(q\/q**(-6)*q)\/q) assuming q is positive.\nAnswer: q**(-117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/28*3\/(-3))\/((-13068)\/(-847))?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/3 - 2383*b**4 - 28513*b**3 + 749321*b**2\/3 - 152316*b - 428220 = 0. What is b?\nAnswer: -7137, -18, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 9*s - 14*s - 715, 2*s - 2 = 0. Let t = g - 132. Let z = 76 - 46. What is the highest common divisor of t and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*h**6 + 269*h**3 + 3250*h**2 - 15*h.\nAnswer: -2640*h**3 + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2211112002?\nAnswer: 2211112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/51137 (b) 0.1 (c) 1\/4 (d) 1\/8 (e) 3 (f) 2\/15 (g) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2462711\/51 - 48290. Let q = d - -5\/3. Let u = 56 + -61. Which is the nearest to 0.1? (a) q (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c**3 - 3*c**2 - 4*c + 4. What are the prime factors of p(-3)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/13))*n*n\/(n\/n**1))**46\/((n*n**(-1)*n**(2\/7)*n)\/(((n\/n**(-2\/11))\/n)\/(n\/(n**(-2)*n*n)))) assuming n is positive.\nAnswer: n**(82902\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4673 - 4673.4. What is the third biggest value in o, -2, 3, -14, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-20))\/((-18)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 s, and 1 c when four letters picked without replacement from {z: 3, c: 1, s: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + m**2 - 2*m**2 + (0*m - 2*m + 0*m)*(4 - 4 + 2*m) + (-3*m**2 + 2*m**2 + 5*m**2)*(5 - 4 - 10) in the form v*m + d*m**2 + b and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 261204 greater than 2350832\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1539) - (-1 + sqrt(1216)).\nAnswer: -26*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-2\/11)*(v**(-1)*v)**47*(v*v**(-1\/4))**(-7\/2)*v**2\/(v**(2\/7)\/v) assuming v is positive.\nAnswer: v**(5\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/(-475)*5\/2 and -2 + 1\/2*5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768662\/1*(10\/(-4) + -50 + 53) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6)\/((-2)\/8). Let c = 17 - f. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 9*v**2 - 6*v - 4. Let k be a(6). Is (2 - 0)*k\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/7 - 1911*k**4 - 6403265*k**3 - 580425235*k**2\/7 + 44822856*k\/7 + 580438612\/7 = 0.\nAnswer: -6682, -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*l + 21*l - 14*l in the form v + x*l and give x.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000144446 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36909)\/(-7) + (-6)\/(-21) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -3\/7, -2, 391, -21\/5, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**2 + 903268*j + 10839792 = 0?\nAnswer: -12, 225829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883768 is divided by 441834.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116293\/45 + 2585. Let o = 8173 + -163439\/20. What is the common denominator of o and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22\/(-209) - 54384\/(-57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172219570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23024 - 40?\nAnswer: 22434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 561?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 5*q - 3*q + 95*q**2 - 234*q**2.\nAnswer: -139*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s + 148. What is x(-12)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8008 - -7521.1. Round k to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10522.68639 rounded to the nearest integer?\nAnswer: -10523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g + 40 + 3 - 41 + 11*g.\nAnswer: -8*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let z(s) = -s + 3. Determine 4*c(k) + 2*z(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16270 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4778*p + 5423*p - 592*p - 2.\nAnswer: 9609*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -156*g**3 - 13*g**2 - 6*g - 132. List the prime factors of s(-6).\nAnswer: 2, 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 8) to base 14\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 7*z**2 - 5*z - 1. Determine s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 618980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 31.\nAnswer: -2, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -154*n - 675. List the prime factors of f(-41).\nAnswer: 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/((-66)\/20) + (200\/(-30) - -6). Let k = 0 + 2. Suppose 0*l = -l. Sort z, -5, l, k in decreasing order.\nAnswer: k, l, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 6*g - 9. List the prime factors of v(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3068 and 52628.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4\/4 - 249017*o**3\/4 + 74707*o**2\/2 + 24902*o = 0 for o.\nAnswer: -49804, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {j: 4, u: 8, p: 2, o: 3}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -6353?\nAnswer: -6344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 507*t + 15210.\nAnswer: 3*(t + 39)*(t + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*g - 47*g - 211*g = 31494 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1141023.7 from -15403858.\nAnswer: -16544881.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-4))\/(-18 + 16). Suppose o = 13*s - 256 + 74. Suppose -16 = 2*j - 7*w + 3*w, -5*j - 2*w = -8. Solve -2*u + s = 2*h, -h + 5*u - 5 = -j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*u**3)*(158*u - 85*u + 116*u)*(-7*u + 2*u - 6*u).\nAnswer: -4158*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5) + (2 - 121\/55)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164*x**4 + 133*x**4 - 167*x**4 + (-1 + 1 + 3*x**3)*(3*x + 2 - 2).\nAnswer: 139*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 = -4312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451627429 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 397*v**2 + 1400*v + 2790. Calculate f(202).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, y: 5, c: 8}. Give prob of sequence cyy.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*s - 12. Suppose -s*g - 112 = -0*g. Let j = g - -50. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:28 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11398.\nAnswer: 2, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**3 + 3*a**3 - 14*a**3 + 5*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 1, z: 1, l: 1, d: 2}. Give prob of sequence dzbq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**5 - 27*w**4 - 492*w**2 - 23*w - 1 wrt w.\nAnswer: 300*w**2 - 648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 0 + 0 + (0 + 3 - 1)*(i + 1 - 1) - 3*i + 3*i - i + 4 - 2*i - 4 + 23 - 9*i - 23 + (5*i - 5*i - i)*(-3 + 3 + 2) - 1 + 1 + i + 3 - 3*i - 3.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 a, 1 t, and 1 h when four letters picked without replacement from {t: 3, h: 1, g: 1, a: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40.7, 1\/3, 0.2, -0.4.\nAnswer: -40.7, -0.4, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46 or -9189?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002022021 + 12012?\nAnswer: 1002111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -241*n**4\/12 + 19*n**3\/6 - 15*n**2. Let f(j) = -723*j + 29. Let h(i) = 5*f(i) - 8*y(i). Is h(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707622729?\nAnswer: 1707622729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9055916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*g = 10, -51*x = -56*x + 3*g - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -451287618 by -5.\nAnswer: 451287618\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 326671 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:00 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -71, -184, -367, -632, -991, -1456?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from exccfifceiddxefeci?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/840 - w**6\/120 + w**5\/30 - w**4\/8 - 7*w**3\/6 - 3*w**2 - 12. Let o(u) be the first derivative of p(u). Give o(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1827491.\nAnswer: 641, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1*4\/16\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2 - 53*c + 42*c + 2. Suppose -t - 3 + 1 = 0. Let q(m) = 5*m. Let s(a) = t*n(a) - 5*q(a). Let l(h) = h. Give l(s(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + h + 30, 4*k + 5*h = k + 18. Suppose -u + k = 2. Suppose 5*t - u = 46. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3025 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/40*(-110)\/132.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 2. Let y(b) = 12*b - 11. Let s(z) = -11*c(z) + 2*y(z). Let r(u) = 4*u**2 + 2*u. Determine r(s(m)).\nAnswer: 16*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 33*b**2 - 78*b - 13. Let q(c) = 17*c**2 - 36*c - 6. What is -13*q(p) + 6*r(p)?\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -280486.39 times 0.7\nAnswer: -196340.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833695902?\nAnswer: 2, 14779, 95869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 + -107. Let r = 1.97 + 136.03. Let g = r + -137.99. Sort s, g, 0 in increasing order.\nAnswer: 0, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/198 and -91\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/2*(-1)\/2. Let a(b) = -b**3 + 5*b**2 - 5. Let l(g) = 2*g**2 - 2. Suppose -3*o + 6 = 12. Determine k*l(t) + o*a(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37262 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6387 + 6392. What is the highest common factor of 545 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 21 + 2 = 4*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - y - 2*y + 163 = 0, 4*i - 2*y = -130. Let g = -511 + 591. Let d = g + i. Calculate the remainder when d is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 830500 (base 10) to base 4\nAnswer: 3022300210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2330142, -4660283, -6990424, -9320565?\n\"Answer: -2330141*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70.9 + 70. Which is the third smallest value? (a) u (b) 0.4 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 39*u. Let o(z) = z - 2. Let q(m) = 10 + 9 - 11 - 2*m. Let r(b) = -4*o(b) - q(b). Determine r(a(x)).\nAnswer: -78*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 20, 16, 10, 2, -8?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -183*t**5 - 3*t**3 + 13*t**2 - 3*t + 1. Let b(d) = d**5 - d**3 + d**2 - d - 2. Let j(m) = a(m) - 3*b(m). What is the third derivative of j(n) wrt n?\nAnswer: -11160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 362.3 - 380. Let h = k - -18. Let w be 114\/(-27) + 2\/9. Which is the nearest to h? (a) 1 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9975*b - 40 = -a - 9979*b, 0 = 5*a - 2*b + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 59661774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97564267?\nAnswer: 97564267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i**3)*(0*i + 5*i - 3*i) + 0*i**2 + i**4 + 0*i**2 - 28*i**4 + 115*i**4 + 10*i**4.\nAnswer: 94*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8.89180520716+-4\nAnswer: 4.89180520716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -130 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1242 + 640 - 12*q + 602.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 1662*d\/5 + 319464\/5.\nAnswer: -(d - 1836)*(d + 174)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times -2449857?\nAnswer: -3919771.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 49780*k - 16585*k - 16606*k - 16592*k.\nAnswer: -3*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 481 = 11*v - 391, -2*v = 3*y + 31 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 689 and 12?\nAnswer: 8268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(2\/3))\/n)**(-2\/45))**(-26) assuming n is positive.\nAnswer: n**(-104\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 7*y. Let d be f(0). Find the common denominator of 33\/16 and (3\/24)\/((-2)\/(-188) - d).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:16 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -6970868\nAnswer: 1\/3485434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {n: 2, o: 2, j: 3, f: 2, i: 1, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from {q: 2, x: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 8825907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 + 100?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose -2*b + 4*m - 2*m = -396, 0 = 4*b + j*m - 804. Is b a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooqdoooodqqqo. What is prob of sequence qdod?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 + 2*r**3 - r)*(0*r + 3*r - 4*r) to c*r + z + w*r**4 + q*r**2 + o*r**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - sqrt(85)*-2*2 - 6*sqrt(85)*-4)\/(((-2*sqrt(140) - sqrt(140))\/sqrt(4))\/(2*sqrt(28)\/sqrt(4) + sqrt(7))).\nAnswer: -29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3) + -4)**2 + ((sqrt(2) - 1*sqrt(2)) + -1)**2.\nAnswer: -8*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doovbodubmb. Give prob of sequence oddu.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.84 - -17. Let v = -0.525 - -0.365. Let w = v + j. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -11. Suppose d*i = 7*i. Suppose -15 = -4*x - 5*s, s + 4 = -5*x + 28. Put i, -1, x in descending order.\nAnswer: x, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/39 - 6041\/(-364)) + (-6)\/8. Solve 0 = -y*l - 30*l - 368 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.3 - -21.1. What is the second biggest value in b, 0, -1, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*82*(-4)\/16. Let h(y) = 8*y + 15. Let a be h(-7). Let w = t - a. Solve -x + 6*x = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45063 = 11*a - 5570. Suppose 3*v - a = -2*s, -2*v - 2*v = -4*s + 9256. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.634*-4692.\nAnswer: 31126.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25887 + (-16)\/((-16)\/17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*p**2 + 4*p**3 - 105*p**2 + 2 + 203*p**2 + p**4 - 11*p to the form k*p**2 + m*p + r*p**4 + q*p**3 + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/((-4)\/6). Let i = 5.8 - 3.8. What is the nearest to -1 in f, 0.4, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-14659)\/(-411))\/(1277\/(-1278) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:54 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 1.7. Which is the closest to r? (a) 0 (b) 1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43040010 (base 5) to base 7.\nAnswer: 3035021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/4970 and 137\/12.\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - a + a)*((-a**3 - 6*a**3 + 3*a**3)*(-1 - 1 + 1) + (0*a + a**2 + 0*a)*(-2*a + a + 0*a)) - a**5 - 5*a**4 + 5*a**4.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28051070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 32. Suppose 31 = -4*a + 103. Let c be j(a). Suppose 0 = -2*f + 4*f - 4*m - 82, -2*f + c = -2*m. Calculate the remainder when f is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - (5 + -2 + 1). Let l(c) = -5 + 8 - i - 3 - 31*c. Is 10 a factor of l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 7 + 27*v + 44 - 28*v.\nAnswer: -v + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 918 - 917. Let n be 39\/2*(-120)\/(-45). Is f at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 8*t**2 + 5*t - 6. What is the remainder when c(8) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -13, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/2*-1*1\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2\/2 - 14623488*c - 35641066881024 = 0 for c.\nAnswer: -4874496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-32))\/((-1)\/(-8)) + -5. Let t(i) = -i - 1. Let c(v) = 3*v - 4. Let q(n) = d*c(n) + 5*t(n). Find the first derivative of q(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.5. What is the closest to p in 1, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6 = -5*w, 0*w - 5*o - 10 = 5*w. Suppose -17 + w = -a. Let i(m) = m + 29. Calculate the remainder when i(13) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 8654304\nAnswer: -3\/2884768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 371 = -826 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 7:40 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 832.72.\nAnswer: 333.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -432 - 156649.\nAnswer: -157081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - 4*p - 81, -9*p + 7 = -12*t + 16*t - 0*p + 43 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22867220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -229, -348, -467, -586, -705?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let b(u) = u**2 - 13*u + 7. Let j(l) = b(l) - 4*f(l). What is the remainder when j(11) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, 7\/5, 24, -5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 + v**3 - 3*v**2\/2 - 2*v + 2.\nAnswer: (v - 1)**2*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 - 319. Let l = 140 + s. What is the fourth biggest value in 2, -1\/4, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 480*s + 14400.\nAnswer: 4*(s - 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16357, -16335, -16277, -16165, -15981, -15707, -15325?\nAnswer: -14817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92533677 to the power of 1\/2, to the nearest integer?\nAnswer: 9619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = 251*z - 283*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 15. Let p be y(-9). Suppose -2*v = 3*v + d - 2067, -d = p. Suppose -3*r + 114 = -v. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24448.24 litres to millilitres.\nAnswer: 24448240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -78*g - 1871. Is 15 a factor of h(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4467, -1\/5, 0.4, 0.2, 0 in increasing order.\nAnswer: -4, -1\/5, 0, 0.2, 0.4, 4467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 36 = -4*d. Let j = d - 23. Is 8 a factor of (-150)\/j + 0 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -15. Suppose -f*w + 88 = 2*w + 4*v, -5*v - 58 = -2*w. What is the remainder when 61 is divided by (119\/(-68))\/((-2)\/w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*i - 2 + 0 = 0, 0 = -2*m + 4*i. Suppose 0 = 5*o - m - 8. Let z be (1 + 9)*(-64)\/(-160). Solve 2*s - o = z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 586, 121, -340, -797?\n\"Answer: 2*x**2 - 471*x + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1551 + 1546 + 3884*m**2 - 4653 + 1556 to y + t*m + w*m**2 and give w.\nAnswer: 3884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - 8*m + 9. Let x be c(1). Put x, 0, 1, 6 in descending order.\nAnswer: 6, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(3 + 0)*1. Suppose -17*q = -13*q - 20. Suppose 5*i = 5*v - q, 3*v - 35 = -3*i - 2*i. Solve -w*g + 6 = -i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 8987284 + 17974568 - 8987284.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let z be (j*1\/(-3))\/(-1). Suppose z + 25 = 5*n. What is the remainder when 13 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/224 and 19\/42?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, -4*z + 4*j - 4 + 16 = 0. Calculate the remainder when (6 + 0 + 46)\/(1\/z) is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26171319 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atjt when four letters picked without replacement from jjtrtrrrrttja?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16289*-2.34.\nAnswer: 38116.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 1\/59, -3\/51092?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0 + 6. Solve -2*y - 2 - 1 = -l, y = n*l + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250859387, -250859385, -250859383, -250859381, -250859379, -250859377?\nAnswer: -250859375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332143430 (base 5) in base 6?\nAnswer: 50535223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1053 and 10\/1953?\nAnswer: 228501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2443538 to the nearest 1000.\nAnswer: 2444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, -258 in increasing order.\nAnswer: -258, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.5. Let b = 218\/665 + -4\/95. What is the third biggest value in b, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*l + 119 - 108, -2*l + a - 3 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 174*f + 1 + 3*f.\nAnswer: 177*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t**2 - t**3 + 7*t**3 - 68*t**2 - 2*t**3.\nAnswer: 4*t**3 - 150*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3382\/11984 - ((-5)\/(-35))\/((-15)\/(-30)) and -43\/3852.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1244251*z**2 + 15*z - 26. Let l be w(2). Round l to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {a: 7, l: 2, b: 1, p: 3, v: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.251631 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -25. Suppose p - 52 = 5*u, 2*u + 4*p - 2*p = -16. Calculate the remainder when q is divided by (-3)\/(2 + 23\/u).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*h**2 + 17905118*h + 79189049 wrt h?\nAnswer: 20*h + 17905118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -67696.\nAnswer: -1\/67696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 348, 354, 380, 432, 516?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -47*w**3 + 5*w**2 + 2*w - 2. Let h(f) = f**2 + f - 1. Calculate b(c) - 2*h(c).\nAnswer: -47*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21445226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318*a**3*s**3 + 219*a**2*s**3 - a**2 wrt a.\nAnswer: 1908*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 67.33453 minutes?\nAnswer: 4040071800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 60 - 29*q**2 + q - 2*q + q**3 as s*q + r*q**2 + u + h*q**3 and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 4}. Give prob of sequence raa.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 5. Let i(y) = y**3 + 7*y**2 - 3. Let p be i(-7). Let o be g(p). Let q = o - -23. Calculate the highest common factor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 + 5*d. Let q be v(-6). Suppose -4*y = -4*f - 116, 2*f + 1 = -9. Let m be 1\/(y\/(-40) + 43\/55). Is m less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5436314 (base 9) to base 12.\nAnswer: b885aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(99) - (sqrt(99) + sqrt(99) + (5 + -2*sqrt(99) - sqrt(99))))**2.\nAnswer: -24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1 - 1 - 14*z.\nAnswer: -14*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/2 - 4*q**3\/3 + 3*q**2\/2 - q - 5. Let g be u(2). Suppose -4*n + g = n. Let a(v) = -9*v**2 - 2*v + 1. Calculate a(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 14*j**2 - 2*j - 4. Let i(m) = m. Let y(s) = s**2 - 3*s + 13. Let n(o) = 3*i(o) + y(o). Let z be n(0). Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -0.0625, 1, -1\/5, -1 in decreasing order.\nAnswer: 110, 1, -0.0625, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5401258?\nAnswer: 2, 41, 199, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1989.1 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.152046 and -0.084.\nAnswer: -0.012771864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 31131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + w**2)*(4 + 3*w**3 - w**3 + w**3).\nAnswer: 3*w**5 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64896410.\nAnswer: 2, 5, 6489641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2 + 0*u + 20 - 2*u + 0. Let k be j(8). Suppose -k*w = -w - 2. Is 0 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5783394 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 11 - (-20 - -30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3069062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 4. Let t be f(-14). Suppose 5*z + 25 = 4*b - 12, 4*b - 3*z - 43 = 0. Let x = b - t. Sort x, -2\/9, -2\/3 in descending order.\nAnswer: -2\/9, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1836 + 1835.7. Which is the closest to -41\/3? (a) -8 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-1) - 1283800\/(-33775)?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33254 is divided by 11078?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 32\/12281?\nAnswer: 32\/12281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193879.5 nanograms to tonnes.\nAnswer: 0.0000000001938795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*g - 4 + 6 - 9, -23 = 23*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**2 - 4*l + 4. Let d be h(-4). Let y = d + 71. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 19*w - 39. Let q be j(-17). Let z(l) = -l - 1. Let h(b) = -18*b - 16. Calculate q*h(u) + 80*z(u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 12:05 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173028?\nAnswer: 2, 3, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfvr when four letters picked without replacement from {r: 2, k: 1, v: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11126?\nAnswer: 2, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 109607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 12. Let i = 11 - -4. Suppose -h*w - i = -u, -w - w = 2*u + 2. Solve -4*s + u = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 157*r. Let n(k) = 1602*k + 1037. Determine b(n(l)).\nAnswer: 251514*l + 162809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 8:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 536504 (base 8) to base 4\nAnswer: 223311010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 277047775 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - m)*(-17*m - 19*m + 34*m)*(-5*m + m**2 + 5*m) - 2*m**4 + 13*m**4 + 23*m**4.\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126223037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -e5e3 (base 16) to base 4\nAnswer: -32113203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let l = -5 + b. Let z = -1.2 + 1. What is the nearest to z in l, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 + -17282130.\nAnswer: -17282172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 3311?\nAnswer: 89397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 4*q - 24, 14 = 2*q - 3*f. Suppose -v + 4*u + 2 - 8 = 0, -14 = -q*v - 3*u. Factor 0*l - 1\/2*l**v + 0.\nAnswer: -l**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(275) + (sqrt(275) - sqrt(275)*-4) + 3) + -4.\nAnswer: -150*sqrt(11) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:47 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137747375 - -137747220.9999763. Let z = t + 154. What is z rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 1, a: 4}. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttx when three letters picked without replacement from ztxxxzxtx?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 86, 152, 244?\n\"Answer: 13*y**2 + y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91870456 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1345919 + -1345917.0800744. Let r = 1.92 - d. Round r to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -22\/7, 0.1, 3\/317, 1\/6 in ascending order.\nAnswer: -22\/7, -3\/7, 3\/317, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.2, 1.2 in increasing order.\nAnswer: -0.2, 1\/3, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7407 and 136845.\nAnswer: 112623435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4290 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-3)*-15*6\/(-30)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2439878246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1289067 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23014 (base 5) to base 11\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 8 + 4*d - 1\/72*d**4 + 1\/12*d**2 + 0*d**3. Factor b(y).\nAnswer: -(y - 1)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 - (7 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186\/(-4))\/((((-315)\/(-30))\/3)\/((-49)\/(-7)))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 - 383*x**2\/3 + 4796*x\/3 + 5180\/3.\nAnswer: (x - 370)*(x - 14)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (220 + (-1 - 1))*-1. Let p = -125 - n. Suppose -5*s - 2*h + p = -5*h, -5*h = -2*s + 22. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a century in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-5))\/(-27))\/((-75)\/1800).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 2. Let m be (2\/8*i)\/(-2). Solve m = -12*s + 8*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1848 and 111\/769174?\nAnswer: 101530968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 9 + 11. Suppose 0 = 5*q - 3*k + g, -3*k - 2*k = 4*q - 21. Let v(t) = -118*t - 6. Let f be v(q). Is f not equal to 112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3406*b**2*y**2 - 2*b**2*y + 42*b**2 - 2*b*y + 12*y wrt y.\nAnswer: -6812*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3436 + 3473.775. Let t = 48.7794 - f. Let q = t - 11. What is q rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2289 and -0.4?\nAnswer: 915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/33809585 and 54\/114952589.\nAnswer: 574762945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -13*f + 18. Suppose 4 - 12 = -4*q, 2*d = f*q - 8. Which is the closest to d? (a) 1\/5 (b) 2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1440 and -53\/3709384?\nAnswer: 667689120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 19 - (17 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 8. Let y be c(6). Suppose -57 - 192 = -5*l - 3*x, 198 = y*l + 2*x. What is the remainder when l is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 16*y + 2 = 0. Suppose -y*c + 91 = h, 0*h + 95 = 2*c - 3*h. Calculate the highest common factor of 184 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - (2 + 1))\/(-2). Suppose 0 = -0*l - 5*l + 4*b + 28, -a*b + 47 = 4*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 5*q - 3. Let o(d) = -9*d**2 - d + 7. Let j(m) = 5*m**2 + m - 4. Let r(i) = -5*j(i) - 3*o(i). What is 11*r(h) - 4*w(h)?\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 5 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37116533023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254588193.\nAnswer: 3, 28287577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/6*(31 - (-329)\/(-11)). Is x at least 273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69248052 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (8 - (2 + -1)) + -423 + 405 + -31.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/15)\/(12\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -65.5. Which is the second biggest value? (a) 2\/3 (b) g (c) -1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 4, b: 2, m: 4, d: 5}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:19 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, 641, 2043, 4167?\nAnswer: 7013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*y + 5*m = 419*y - 186, 3*y - 130 = -m. Suppose -3*x - c + 19 = 0, 0 = -x - 0*x - c + 3. Calculate the smallest common multiple of y and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 6*g = 7*g. Suppose -29 - 51 = 4*a + p, 0 = -5*a - 2*p - 97. Let h = a - -26. Solve h*r + 6 + 9 = g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1270*b + 7 + 3 - 10 + 4152*b)*(8*b**3 - 8*b**3 - 5*b**4).\nAnswer: -14410*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.5, -0.46, 0.34, 12, -3, 4?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16125740, -32251466, -48377190, -64502912, -80628632?\nAnswer: -96754350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 220*d + 7. What is the hundreds digit of r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 2*j**2 + 2*j. Let c(p) = 9*p**3 + 9*p**2 + 9*p. Let y = 26 + -32. Determine y*c(f) + 26*v(f).\nAnswer: -2*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*w - 314. Calculate the highest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 345\/(-24) + -1 + 3 and -13\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2 (c) 3\/5102 (d) 0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 374, 956, 1774, 2828, 4118, 5644?\n\"Answer: 118*h**2 - 8*h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/38 and 1809\/360*(-4)\/6.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1012 and 368.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -70, 3.\nAnswer: -70, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 0 - (31 - (19 - -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 - 100 - (0 + -10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -7) + 1 + 4. Suppose -4*b + a*b = 6. Suppose 0 = f + b*f - 4*w - 24, -60 = -4*f - 5*w. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/30*190\/228)\/((-1)\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -19.9. Is b <= 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(33)*1*5)\/(4*2*sqrt(11)) + (6*sqrt(294))\/(sqrt(4)\/sqrt(128)).\nAnswer: 1329*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75778429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11948, 2\/21, -37?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -126. Let t = -28 + b. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/52 + 1\/4. Let s(h) = 17*h**3 + 7*h**2 - 7*h + 7. Let y(a) = -25*a**3 - 11*a**2 + 11*a - 11. Let t(d) = 8*s(d) + 5*y(d). Is t(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 2\/9, 58 in descending order.\nAnswer: 58, 2\/9, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3223\/10, 2\/23 in increasing order.\nAnswer: -3223\/10, 2\/23, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9928 and 1374518.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0 - 11\/20*w**5 + 0*w + 0*w**3 + 21*w**2 - 5\/8*w**4. What is the second derivative of y(z) wrt z?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.85 - 34. Let b = -0.05 - i. Let r = 89 + -88. What is the nearest to b in r, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*(-2)\/112)\/((-9)\/((-81)\/6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*v + 51*v - 27*v to a + p*v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11982 is divided by 152.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 9. Let a be l(6). Suppose 2*d + 2*i - 1 = 21, i + 37 = 3*d. Suppose a*w = 6*w - d. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-399)*(1144 - 7) - 6\/(-57). Is l < 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 27 = 3*a + 13, 26*a + 203 = -3*r - 45 - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 5. Let y be 2\/7 + v\/(-14). Suppose -f = 3*x - 4 - 4, 0 = 5*f + x + 16. Put y, f, -5 in descending order.\nAnswer: y, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 3 - 1\/6*c**3 + c**2 + 1\/6*c**4 - 3*c. Let f(n) = 13*n**2 - 6*n + 8 - 3*n**2 + 3. Calculate -2*f(a) + 11*s(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 4, 13.14, -0.3, -33?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1132\/9*n**2 - 736\/9*n**3 - 170\/3*n + 0 + 116\/9*n**4 - 2\/9*n**5 = 0.\nAnswer: 0, 1, 5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 8*u**2 - 2*u - 1. Calculate o(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v*v**(5\/6)*v*(v\/(v**(2\/5)*v))**(4\/33))\/(((v**(-2)\/v)\/v)**(-1\/78))**(-2\/29) assuming v is positive.\nAnswer: v**(844543\/124410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*u**3 + 4*u**2 - 3993*u - 1 wrt u?\nAnswer: -510*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**6*b*b*b*b*b**(-1\/10)*b assuming b is positive.\nAnswer: b**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 178.3283 hours?\nAnswer: 641981880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326.9 rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -309, -5, 226759 in decreasing order.\nAnswer: 226759, 3, -5, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 5*b**2 - 2*b - 8. Let m be r(-5). Suppose -h - m*p = 2, 2*h + 5*p - 1 = -8. Suppose h*t = 2*t - 8. Which is smaller: t or -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90756 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/7 + 316*n**4\/7 + 26179*n**3\/7 + 189412*n**2\/7 - 3740*n - 27104 = 0.\nAnswer: -154, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - l - 3 = 0, -155*w = -154*w + 2*l - 4. Which is the nearest to 9? (a) -1\/12 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 23 = -40 - 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/2 + r**3\/3 + r**2\/2 + r - 1. Suppose -4*p = -4*b + 28, 5*b = 14*p - 12*p + 11. Give l(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (128\/20)\/(1\/5). Let w be -1 - 4\/(p\/(-11)). Sort -0.3, -2, w.\nAnswer: -2, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 10190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3689\/12 + 923\/3. What is the second biggest value in 1, i, -1\/67, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 1 - 2 + 4 - 6*z. Suppose 0 = -7*v - 71 + 29. List the prime factors of y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 - 9*o**2 + 46*o - 9798.\nAnswer: -3*o**2 - 18*o + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 2*m**5\/5 - 20*m**4 - 82*m**3\/3 + 288. Factor z(d).\nAnswer: 2*d**2*(d - 41)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1.080400917182?\nAnswer: -7.080400917182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*z - 23, -4*z + 3*y = -8*z + 31. Solve -n - z = 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - n = -6*m + 69, -5*m + 180 = -4*n. Let u = m + -28. Solve -b + 3*d = -0*b + 13, -u = -2*b - 4*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 21 = 11*i, 98*w = 2*i - 106*w + 199*w - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 450*a - 18 = -445*a, -5*a - 10 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62542 (base 8) in base 3?\nAnswer: 1022121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 3*j + 0*j + (2 + 1 - 1)*(74*j + 537 - 1075 + 502).\nAnswer: 150*j - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*g + 4 + 4*g)*(g + 0*g + g).\nAnswer: 4*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -7*t - 2. Solve 1 + t = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*b - 570*b - 120*b = 18070 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(14\/5)\/l)\/(l\/(l*l*l**(-1\/3))) assuming l is positive.\nAnswer: l**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 + 132. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2145, -3534, -7301, -14634, -26721, -44750?\nAnswer: -69909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 0)\/(30\/(-3)). Let n = 0.02 - 0.02. Which is the third smallest value? (a) 2 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -663, -1035, -1393, -1737?\nAnswer: -2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*n + 8 = -b, -n = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/((-1)\/2). Let a = -143 - -142.9. Let p = 1.5 + -1. What is the nearest to a in j, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 2*h - 4*h**3 + h**5 + 5*h**3 + (98*h - 98*h - 8*h**2)*(-56 + 56 + 12*h**3).\nAnswer: -95*h**5 - h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -10. Let b be s + ((-343)\/(-1) - -1). Suppose b = 4*a - 39. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-66)\/(-154) - (-12)\/21. What is the closest to n in 0, -4, -2\/129?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5*(-10)\/(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123774\/2549 > 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 18984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/36 and ((-178)\/(-16))\/((-1932)\/112)?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0 + 0 - 4 + 3*u + 2. What is the units digit of j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -461*u**6\/24 - 143*u**4\/24 + 13*u**3\/6 - 3*u**2 + 910*u. What is the second derivative of s(i) wrt i?\nAnswer: -13830*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 9*j**2 - 28*j + 4. Suppose 2*g - 4*g + 8 = -2*x, -3*g = -2*x - 4. Let p be m(x). Calculate the greatest common divisor of 246 and p.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 9\/5, 4, -2\/5, -0.0195, 0, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*z - 2, 18*h - 36 = -22*z + 17*z. Factor 6561\/2 + 1\/2*p**4 - 1458*p + 243*p**h - 18*p**3.\nAnswer: (p - 9)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -3)**2 + sqrt(896)\/sqrt(7))*5.\nAnswer: -260*sqrt(2) + 1045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9 + 529\/(-69) + 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -60 - 235\/4.\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 10*x**2 + x + 2*x - 5*x.\nAnswer: -10*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21544241 to the power of 1\/2, to the nearest integer?\nAnswer: 4642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 u, and 1 t when four letters picked without replacement from tnwetuewett.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20030098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 - 16*u**3 + 0*u**3 - 21*u**2.\nAnswer: -16*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/343375 and -113\/205000.\nAnswer: 13735000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/5 - 47*c**3\/5 - 583*c**2\/5 + 719*c\/5 + 1254\/5 = 0 for c.\nAnswer: -11, -1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1935*f + 356083. Calculate m(184).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + h - h)*(-178 + 838 + 1588 + 242) as f*h + u and give f.\nAnswer: 2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + v)*(-5 + 8 + 4)*(-3*v + v - 3*v) to u*v**2 + x*v + m and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 - 7*o + 4. Let k be i(5). Let w be (-10)\/(-3) + 2\/k. Let u = -24 - -45. What is the greatest common factor of w and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125278751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(576))\/sqrt(3))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 2612630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hek when three letters picked without replacement from hkzkephkpkohkhehpkzz?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2*c + 3. Let b be f(3). Let k = -1 + b. Let z = k + 4. Solve 5*y - 2*l - 15 = 0, 2*l - 3 = -y - z*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10444172 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659.10866 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/4))**(2\/3)\/(t\/t**(-4))**(-23\/4) assuming t is positive.\nAnswer: t**(335\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 + 0. Let y = d - -0.08. Round y to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:54 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(-3))\/((-5 + 9)\/(-2676)). Suppose 4*t - 929 = v. Suppose 82 = -5*l + t. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2 + m + 2. Let k be 1*(3 - -1) - 10\/5. Let r(a) = -8*a + 4. Give k*r(l) - 9*d(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358664 is divided by 339649.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + 1*sqrt(2) - (5 + sqrt(2)*1 - sqrt(2))).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 5, q: 3, j: 2, g: 6, i: 1}. What is prob of picking 1 j and 2 g?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -9*y + 7*y. Let x be y\/(-14) - 4\/14. Suppose 3*t = -2*u + 83, -3*t - 46 = -u - x*t. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - -0.48. Let x = -0.5009 + o. Round x to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*sqrt(78) - sqrt(78) - sqrt(78)) + sqrt(78) - (sqrt(78) - 3*sqrt(78)*1))\/(4*sqrt(12)\/(sqrt(2)*-3)*-2).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 689387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.83615 take away -0.8?\nAnswer: 3.63615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23747105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145746006.\nAnswer: 2, 3, 7, 43, 80701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*p + 8 = 238*p. Suppose 3*a - g = -14, 6*a - p*g + 11 = 3*a. Let m(h) = 2*h**2 - h + 5. Is m(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2238 + -901. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 26 = 5*z - v, 2*z + 8 = v for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(68).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-18))\/((-31)\/1674). Solve 8*z - 5*z + f = -2*g, -4*z - 5*g - 31 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6150, -7918, -10864, -14988?\n\"Answer: -589*f**2 - f - 5560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 20*c**2 - 23*c + 38. Calculate k(-19).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(153) + (sqrt(153) - (sqrt(153) - (0 + 0 + sqrt(153) - sqrt(153))) - sqrt(153)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 24*x + 4. Calculate v(6).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 + 4 + 9 + -3 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 49564*g + 4510315. What is l(-91)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)\/(-1) - 10\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 0*d - 2*d + (2 + 4 - 5)*(-2 + 2*d + 2) + d + 3 - 3 + d + 2*d + 0*d + 4*d - d - 2*d + (3 - 2 + 2)*(-2 + 2 + d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(520)\/(sqrt(90)*-2) + 5 + (sqrt(312)*1)\/sqrt(6).\nAnswer: 5 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 78, 0.5, -0.5?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 5 - 6*j + 4.\nAnswer: 9*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -6bce?\nAnswer: -6bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 262949331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8546 - 5161 - 5870)*(-2*i + 3*i + 2*i)*(0 + 1 - 3).\nAnswer: 14910*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026795103 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1386476 and 167986.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*p**2*s**2 + 2*p**2 + 6*p*s**2 - 4*p*s - 6470*s**2 with respect to p.\nAnswer: 54*p*s**2 + 4*p + 6*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*p + 372 = 163*p. Let j = 371 + p. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 - i - 2. Suppose 4*b = 2*l - 6 - 8, 19 = -4*b + 3*l. Let h be y(b). Sort h, 2, -1 in decreasing order.\nAnswer: h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 101*w + 2*w**2 + 78*w)*(20 + 6 + 21).\nAnswer: 94*w**2 - 1081*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3171002 is divided by 99093.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 10, c: 3, u: 3, y: 2}. Give prob of sequence wwyi.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, 1 u, and 1 x when four letters picked without replacement from wquxwu?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(200))*-1.\nAnswer: -20*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -312 (b) -1\/7 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from zzzzzzuzuuz.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8858*a**3*l**4 + 37*a**3*l**3 + a**3*l - 1039*a**3 + 2*a**2*l + l - 55 wrt l.\nAnswer: -106296*a**3*l**2 + 222*a**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 1. Suppose 4*v - 18 = -26. What is the remainder when 11 is divided by s(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.59 - -0.19. Let l = t + 0.4. Let j = l - -3. Which is bigger: j or 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - 0*p. Let g = 12 + p. Let d be 16\/g*(-1)\/4. Which is the nearest to -1\/4? (a) -0.4 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/300*(-2)\/((-4)\/(-10)). Which is the nearest to -6? (a) -2\/13 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqkgl. What is prob of picking 1 d and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3712 times -0.2\nAnswer: -742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c - 58 + 244 = 1608 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmngqqdmqd. What is prob of picking 1 q and 2 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:35 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/7 + 10*k**2\/7 + 8*k\/7 = 0. What is k?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-85))\/((-120)\/(-408)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458*f + 90816 = 470*f. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -1525?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 - (1 - 4). Suppose 7 = -u - t. Is 3 a factor of (-51)\/u + (-2)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**8\/1848 + j**7\/1155 - j**6\/330 + 8*j**2. Let m(u) = 0. What is u?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 5:42 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0.05, 3, 1.\nAnswer: -17, 0.05, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 3. Let q be b(-8). Suppose 2*o - 8 = -w, q*w = o - 5 + 12. Suppose 0*t + t - 1 = 5*h, o*h = 5*t - 49. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-2)\/(3*(-2)\/219) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*s - 10*s + 12*s)*(232*s - 223*s - 6 - 1)*(s + 0 + 0).\nAnswer: 207*s**3 - 161*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80511705 a multiple of 1438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(1\/8)))\/(l\/l**(3\/17)) assuming l is positive.\nAnswer: l**(-95\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2 + 1. Let g be l(0). Let u(p) = p**3 + 40*p**2 + 279*p + 2. Let z be u(-31). Put z, 0, g, -3 in decreasing order.\nAnswer: z, g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6331.\nAnswer: 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 25.392484603?\nAnswer: -40.392484603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1320 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10586144 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkh when three letters picked without replacement from kkhj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i - 54 = -3 + 249 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 - (-3 - -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 6. Let g = 0 - 6. Let t be u(g). Let v = -9 + 8. Are v and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*i**2 + 105\/2*i - 105\/2*i**3 + 0 + 5\/2*i**4.\nAnswer: 5*i*(i - 21)*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - w = -265 - 172, 5*u + 2*w - 728 = 0. Let q = -37 - 47. Let y = u + q. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36844, 36854, 36868, 36886, 36908, 36934?\n\"Answer: 2*n**2 + 4*n + 36838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*h + 9, 0 = -2*o + 5*h - 0*h - 20. Let d be 0 + (-15)\/o + 22. Calculate the highest common factor of 75 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4360414947763 + 0.01\nAnswer: 4360414947763.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2367 from 0.1.\nAnswer: -2366.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9485?\nAnswer: 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555\/(-123210)*63\/(-7).\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.75729t in kilograms?\nAnswer: 64757.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 33*r**3 + 3*r**2 - 7*r + 7. Let m(t) = 4*t**2 + 3*t + 1. Calculate the smallest common multiple of m(-3) and x(1).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298695924?\nAnswer: 2, 3, 921901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, p: 6}. What is prob of sequence ppp?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**4 - 25*k**3 = 0. Calculate k.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -66634 > -66642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 5*f - 4. Let l be k(4). Let a be 618 - (8\/(-32) - (-42)\/8). Let d = 618 - a. Solve 3*j - v - v - 2 = l, d*j - 4*v = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 5*w**2 + 3*w + 4. Let j be m(4). Let t = -1 - j. What is the least common multiple of 12 and -24*t*(-1)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -0.29.\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 632339031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26980 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8443 is divided by 754?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**3 + 2*u**2 - 13. Let x(q) = -3*q**3 + q**2 - 7. What is -6*j(s) + 11*x(s)?\nAnswer: 3*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 4*d + d**2 + 0*d - 2. Let y(n) = 19*n**2 + 4*n + 1. Let f(c) = 4*c**2. Let j(i) = -5*f(i) + y(i). What is 5*j(u) + 3*k(u)?\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 5\/2 (c) 1\/36 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 666\/5*l**2 + 2904\/5 - 3*l**3 - 7524\/5*l.\nAnswer: -3*(l - 22)**2*(5*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -51. Let m = o + -39. Suppose 5*p - 13 = -2*t, 2*p = -0*p + 2*t - 6. Solve -3*y + 2*n = 24 + p, -2*n + m = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5121 - 1.4121. Suppose u + 4 - 3 = 0. Which is the biggest value? (a) r (b) -3 (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 629.7 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 443 or 437?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24712*l**3*x**2 + 3*l**2 - 44391*x**2 - 2 with respect to l.\nAnswer: -74136*l**2*x**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1664577 (base 8) to base 3.\nAnswer: 220200100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from xxaxdxd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -72. Suppose 13 = k - g. Let i be (-19)\/k + 3\/(-7). What is the closest to -6\/7 in -2, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012122 (base 3) in base 13?\nAnswer: -52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d1e63 (base 15) to base 11.\nAnswer: 892a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 80 - 17*k**4 - 163 + 85 + 28*k**2 - 2*k to t*k**3 + b + a*k**2 + l*k + g*k**4 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-72))\/(-3*4\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90556279 divided by -179\nAnswer: 505901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/6 or 5.5?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 10*d - 42. Let s be r(-13). Let t be 2*s\/9 + (-34)\/(-6). Suppose 3*i = 4*v + 554, -t*i + v + 214 + 732 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 413 + -174. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*i**3 + 2*i**4 + 6*i**3 + 19*i**2 + 7*i**3 + (-7*i**3 + 3*i**3 + 2*i**3)*(0*i + 2*i - i) - 2*i**4 + 3*i**4 + 0*i**4.\nAnswer: i**4 + 2*i**3 + 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -68934.\nAnswer: -68934.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -5, 4, 2\/19, 0.86?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3723 - 286687\/77. Is 0 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from jjjjojjoojjj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 1041128841696?\nAnswer: 1041128841696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-180)\/35)\/18)\/((-1)\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 2374587.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -56*c + 347. Let v be q(5). Solve 61 = 2*o + v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966*a + 2841*a - 1627*a.\nAnswer: 2180*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 3*q + 765, -5*s - 510 = -950*q + 952*q. Sort -5, q, -16 in descending order.\nAnswer: -5, -16, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725145 to the power of 1\/2, to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4394*q**5 + 1457118*q**4 + 161067582*q**3 + 5934720906*q**2.\nAnswer: 2*q**2*(13*q + 1437)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3 + 31*a**2*n - a*n*v + 2*n*v - 3*n - 23*v wrt a.\nAnswer: 3*a**2 + 62*a*n - n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5755 + 2312?\nAnswer: -3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 4. Let a(u) = -u + 2. Let f(z) = -2*a(z) + r(z). Let w(b) = -b. Calculate f(w(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3*d - 1011*a**3 + 14349*a**2 + 19332*a*d**4 - 12*a*d**2 wrt d?\nAnswer: 2*a**3 + 77328*a*d**3 - 24*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 515 + -273. Let p = j - 242.0000141. Round p to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13366.8 - -13367. Suppose 3*u - 3*b = u + 20, -4*u + 4*b + 32 = 0. What is the third smallest value in 0.4, u, k, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 127, 210, 327, 478, 663, 882?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + m + m)*(-m + m - m) + m + 4*m**2 - m)*(-2*m**2 + 25*m**3 - 17*m**3 - 58*m**3).\nAnswer: -150*m**5 - 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -181 in -1, -0.6, 7, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 17*i + 15. Let a = 2 - -11. Let q be c(a). Let u = 128 + q. List the prime factors of u.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(4\/248). Let g(j) = 3*j**2 - 154*j + 459. Let t be g(48). Does i = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7947816 is divided by 7947805.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -0.08. Let b = f + 1.04. Let v = b - 0.7. What is v rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011111100011101010 (base 2) in base 4?\nAnswer: 30133203222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 50 = -146 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -33*i**5\/5 - i**3\/3 + 67*i**2\/2 + 33. Find the second derivative of o(l) wrt l.\nAnswer: -396*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6202974289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1420 = 4*k + 3832. Let n = k + 603. What is the closest to n in -4\/5, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence torx when four letters picked without replacement from ooxxootrotrrx.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -3\/61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g - 266. Let w(n) = -5*n. Calculate x(w(o)).\nAnswer: -45*o - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*h + 160911, 5*h - 120696 = -3*j + 7*h. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.68 - -0.18. Sort 1\/4, n, -3 in ascending order.\nAnswer: -3, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -501*p + 2229*p**2 + 501*p to m*p**2 + j + b*p and give m.\nAnswer: 2229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -4.3.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-30)\/(-42))*3\/7. What is the derivative of 7*w**m - 145 + 2*w - 22*w**3 + 6*w**3 + 3*w wrt w?\nAnswer: -27*w**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**5\/5 - 5*d**3\/3 - 11*d**2 - 105. Find the second derivative of v(m) wrt m.\nAnswer: -12*m**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 - 4*c + 5. Let l be (12 - 7)\/((-1)\/(-2)). Suppose p + p = l. Calculate the remainder when 38 is divided by i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 150581, 155898, 161215, 166532, 171849, 177166?\n\"Answer: 5317*s + 145264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2495 (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -798*t - 3. Let r(l) = 25*l**2. Determine a(r(x)).\nAnswer: -19950*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4756*l - 3*q - 22 = 4760*l, -2*l - 8 = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7*2\/1*12\/(408\/17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -978564 divided by -6\nAnswer: 163094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let b(p) be the third derivative of -p**5\/60 - p**4\/24 + p**2. Let y(f) = 3*b(f) + 2*i(f). Find the second derivative of y(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38082 + -21117. What are the prime factors of f?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.3 + 7.3. Let j = -2.06 - -0.06. Let p = -1767\/7 + 252. Which is the nearest to -0.1? (a) q (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1258 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:35 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270335*i**2 + 293233*i.\nAnswer: 540670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 2. Suppose -4*v + 38 = 5*n, 4*n - 36 = -0*v - 4*v. Let m(q) = 2*q - 4. Suppose 0 = b - 2*b + 4. Calculate b*m(y) + v*j(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/24 - 385*c**3\/6 + 386*c**2 - 2144*c. Find p, given that w(p) = 0.\nAnswer: -772, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((5\/11)\/5). Suppose -d + 7 = -l. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/40)\/((-16)\/64)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1025 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/39 - -917\/156. What is the common denominator of -46 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxxxxllxxx. Give prob of picking 2 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13)*2 + sqrt(117) + 1 - (sqrt(5200) + -3))**2.\nAnswer: -120*sqrt(13) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*d**2*r**3*x**3 - 2*d**2*r**3*x**2 + 8*d**2*r**2*x - 3*d*r**3*x - 4*r**3*x**3 wrt x?\nAnswer: -72*d**2*r**3 - 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 11*b**2 + 24*b + 20. Let t be n(13). Let a be 4\/t - (-4 - 48\/18). Let y = -1 + a. Solve 0 = y*j - 0*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 81*j**2 + 130*j**2 + 50*j + 95*j**2 + 3 - 259*j**2 = 0.\nAnswer: -1, -3\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 2:55 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -25 and 343487.5.\nAnswer: 343462.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-33)*525\/(-35)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190247*-0.2047.\nAnswer: -38943.5609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, t: 5}. Give prob of sequence vvtt.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10. Let m = 196 + -393\/2. Which is the closest to j? (a) m (b) -2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62178 and 186534.\nAnswer: 186534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -2078 (c) 3 (d) -1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/((-280)\/30)*(-1)\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 20*t**2 - 28*t - 25. What are the prime factors of h(13)?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*y + 10, -y - 5*j + 2 = -5. Let g be ((-6)\/(-9))\/((-2)\/y). Let h be (-1)\/(4\/(-76)) - g. Solve 4*w = -5*a - 17, 4*w + a = 3*a + h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1 + 4*i**2 + 10*i**3 - 2*i**2 - 3*i**2 - i + 2*i**2. What is z(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 16*y**2 - 33*y + 9. Let g be s(18). Suppose g + 177 = 8*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*58.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 47*k. Suppose k = 368*f - 358*f - 230. Calculate the remainder when 135 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -880084686*i**2*q**2 - 359*i*q**2 + 1273*i*q - 2*i - 4*q**2 + 8*q wrt i.\nAnswer: -1760169372*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -2*t + 5*t. What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12822233*q**4 + 10*q + 45928404?\nAnswer: -51288932*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*q + 10 = 0, -3*g - 2*q + 30 = -7*g. Let l = g + 6. Suppose 4*x + 3 = -l. Is x < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 2:01 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p + 32. Let j(s) = s**3 + 15*s**2 + 31*s - 15. Calculate the remainder when j(-5) is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 121, 157, 179, 187?\n\"Answer: -7*w**2 + 71*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - 12222?\nAnswer: -12030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - -28. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/15)*(g**4*g)\/g)\/((g\/((g\/(g*g*g**(-6)))\/g))\/g)**(2\/47) assuming g is positive.\nAnswer: g**(2893\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 128 = 27*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3)*h**(1\/15)\/h*((h**(-1)*h)\/h)\/((h\/h**(-11))\/h))**1 assuming h is positive.\nAnswer: h**(-134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -873*j**3*p**2 + 769*p**2 wrt j?\nAnswer: -2619*j**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, 142\/27, -1\/5, -0.5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 2, f: 1, b: 1, p: 2, x: 1}. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {f: 5, m: 1, z: 2, x: 4, o: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - 15*s + 17*s + 4*s**3 - 6*s**3 + 6 to z*s**2 + p + x*s**3 + t*s and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/812 and 35\/3944.\nAnswer: 27608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76583507 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-87)\/(-15) + 2\/10. Suppose 2*w + 3*l = j*w - 52, -4*l - 16 = 0. Is w bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3862 - 1995. Suppose 4*v - 1516 = -4*m, 5*m - d = v + v. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + -1 + 4 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*((5*2*sqrt(190))\/(1*sqrt(10)*-4) + 2))**2.\nAnswer: -40*sqrt(19) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.97 and 1025089.\nAnswer: 1025112.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p**(5\/2))\/(p**(-3)*p)**(-6\/19) assuming p is positive.\nAnswer: p**(137\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -39\/2, -91\/20, 4 in ascending order.\nAnswer: -39\/2, -91\/20, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 4. Let k be 0\/((c - -6)\/(-4)). Solve -2*w - 3*w - 2*o - 8 = k, -3*w + 3*o = -12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c**4 - 3024*c**3 + 2*c**2 + 756*c = 0.\nAnswer: -378, -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 6*d**5\/5 - 169*d**4\/4 - 716*d**3\/3 - 322*d**2 + 128*d - 6278. Factor c(g).\nAnswer: (g - 32)*(g + 2)**2*(6*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.67 + 2.33. Put u, -2\/11, -0.08 in decreasing order.\nAnswer: u, -0.08, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -2*w**5 + w**2 - 1. Find the second derivative of d(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6 + j - 4*j + 4*j - 3*j. Let r(n) = -2*n - 7. Let u(z) = -3*h(z) + 2*r(z). Let p be (-2 + -3)\/(1 - 0). Determine u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.63436 micrometers in centimeters?\nAnswer: 0.009163436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.953 - 65. Let q = 0.097 + i. Let v = q - 0.339. What is v rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7182, -17903, -32164, -49965, -71306, -96187, -124608?\n\"Answer: -1770*q**2 - 5411*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 3*m - 8 = -6*u, 0 = 4*u - 7*m - 0 + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 9 - 13 = 0. Suppose -r*d = 2*d - 4, d - 107 = -j. Suppose -4*z = -5*h + 655, 0 = 2*h + z - j - 169. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((36\/(-39))\/3)\/2. Suppose 5*o = -20, j - o + 7 = -4*o. Which is the second biggest value? (a) 0.3 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 11*j - 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 33*a**3 + 2*a**2 - 24. Let o(p) = 34*p**3 + p**2 - 30. Give 5*h(t) - 4*o(t).\nAnswer: 29*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41866*d*u**3 - 87*d*u**2 + u**2 wrt u.\nAnswer: -251196*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 3596?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/44 - (-149730)\/42504.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**2 - 4*g**3 - 2*g**2 + 4*g + 12*g**2 + 2 in the form w + q*g**3 + u*g**2 + z*g and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3 - 0) + 6. Let k(q) = -q**3 + 6*q**2 + 9*q - 9. List the prime factors of k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 482279099236 and 1?\nAnswer: 482279099235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366 divided by -12.\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2108)\/(-8) - 3\/6. Suppose -r = 5*t - 3*r - 316, 0 = 4*t - 5*r - f. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-27 - 3 - (-31 + 20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 3*o + 7. Suppose -2*t = 5*w + 14, 0 = 6*w - 2*w + 4*t + 4. Let l be j(w). Which is the third smallest value? (a) l (b) 31 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - (19 - (-9 + -6))) + -1 + -42.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and 23\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - p + 73 + 6, 0 = 5*y - 5*p - 220. Suppose -w = -3*r - y, -4*r + 54 - 20 = w. What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 191\/282 - 2\/3. Let p(q) = 107*q - 322. Let l be p(3). Is l < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31129527301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 2*g**2 - 3. Let q = 1 - -2. Suppose 3*f + 12 = -4*l, -5 = q*l + 5*f + 4. Calculate t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308 + -307. What is the remainder when 7 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, 10, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 + r**2)*(1 - 5*r**2 - 1) + (-1 + 4 - 5)*(5 - 2*r**4 - 5).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4783 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133380, 533795, 1201236, 2135703, 3337196, 4805715, 6541260?\nAnswer: 8543831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(686))\/sqrt(2) + 2.\nAnswer: -42*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - (-2 + 3 + -4). What is the common denominator of (-71)\/g*(1 - 0) and -89\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.07. Let x = 18.03 + -18. Let l = x + q. Which is the nearest to 0? (a) l (b) -1 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*h - 4*h = -28, 0 = -h + 4. Suppose -3*s - 3*m = -30, -2*m + 36 - 11 = g*s. Suppose 6*b = s*b + 12. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/4 + -1. What is the nearest to -1\/3 in -1\/7, 0.3, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11928 = 7580*w - 7573*w. Calculate the lowest common multiple of w and 1.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*t - 28 + 10, -31 = -5*j + 4*t. What is the tens digit of 2\/j - 6*(-1251)\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snn when three letters picked without replacement from {l: 1, c: 1, o: 3, n: 5, s: 3}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 94 (b) 0.2 (c) -3.6 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2411788 + -24140729\/10. Let q = 2281 + t. What is the common denominator of q and -1\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let n(o) = -5*o + 1. Let z(f) = n(f) + 4*r(f). Determine z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -101*l**2 - 5*l - 233. Let x(j) = 44*j**2. Give t(x(b)).\nAnswer: -195536*b**4 - 220*b**2 - 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4 + 283629*d**3 + 283632*d**2 = 0.\nAnswer: -1, 0, 94544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -12 - (-81530)\/5786.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 17*s - 36. Let m be b(19). Suppose -3940 = -g - 3*g + 4*x, 0 = m*g + x - 1970. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2148*a + 2155*a + 22 - 45.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + p**2 - p**2 - 3*p**2 - 3*p in the form u + i*p + f*p**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggeeegeegefeegg. Give prob of picking 2 e.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20093.51725 + -196.23675. Let q = 20433 + o. Let z = -143 + q. Round z to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 24079*c - 457883. Calculate v(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = -2*h. Let k = 14 + h. Suppose 0*s + 2*s = 3*w - 35, -23 = -2*w + s. Calculate the remainder when w is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15919*g + 13864*g + 3694*g - 3273*g to the form a + u*g and give u.\nAnswer: 30204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1064\/(-2394))\/(7\/504)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14776, 14821, 14914, 15079, 15340, 15721?\nAnswer: 16246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 14 + -9 + 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*p**4 + 176*o**3 + 317*o*p**4 - 54*p**4 + 69*p**2 wrt p?\nAnswer: -48*o**3*p + 7608*o*p - 1296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -15. Let p be 0\/13*(-2)\/j. Solve 3*g - 1 + 4 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - h + 101, 8*a = 3*a + 2*h + 123. Let d(m) = -3*m + 78. Let k be d(a). Solve -2*p - 4 = 4*w, -2*w = -5*p + w + k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1647 or 210492?\nAnswer: 210492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 - 3*r**2 - 118*r - 2. What is g(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/7521, -1\/9, -2, 3 in descending order.\nAnswer: 5, 3, 2\/7521, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.154 + -4.75. Let u = f + 31. Round u to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/11 (c) 5\/6 (d) -143\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 18. Let w = 10 - s. Suppose w*f - 361 - 126 = 2*h, 162 = f - h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*c + 62. Suppose 10*b + 3385 = c*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 1, c: 2, a: 1, t: 2, p: 1}. Give prob of picking 1 a, 1 f, and 2 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r. Let i(b) be the first derivative of -20*b**2 - 2*b + 9. Let d(s) = 1121*s + 57. Let h(y) = 2*d(y) + 57*i(y). Give t(h(p)).\nAnswer: 114*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*t - 29*t + 103*t)*(-2994*t + 2963*t + 1 - 1).\nAnswer: -4030*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.3. Let m = -0.3 - y. Let s = -0.48 + 0.08. What is the nearest to 0 in s, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/(-32))\/(-9))\/(-5*3\/(-300))\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-249)\/3652 - 591\/(-924). Factor -6\/7*s**3 - o*s**4 + 2\/7*s**5 + 8\/7*s + 8\/7*s**2 + 0.\nAnswer: 2*s*(s - 2)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 - 495. Let q = z - -179.14. Let m = -55.56 - q. What is m rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277427199 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7459990615.\nAnswer: 5, 7, 11, 19, 83, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 106683?\nAnswer: -960147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(180)\/sqrt(3))\/sqrt(3))\/(-2*sqrt(10)*-2) + -3*2*sqrt(72) + -1 + sqrt(72) + 1)**2.\nAnswer: 14185\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/4 (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -4030\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/12 + 1\/3*-12749998. Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i. Let h = -7836 - -7834. Let d be 2\/(-6) - 20\/(-6). What is the fourth smallest value in 0.02, d, i, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 14*b**6\/15 + b**5\/60 - 97*b**3\/6 - b**2 - 57. Find the third derivative of y(w) wrt w.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {j: 6, b: 3, c: 1, d: 2, p: 2, k: 5}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-982)\/(-3) - (-60)\/(-45). Suppose 330*f = x*f - 230800. What is f rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 45 = -854*p + 859*p, -2*x - p + 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 2*f - 1. Let w = 61 + -62. What is p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*i - 3, 3 - 2 = -s. Let a(n) be the second derivative of 0 - 1\/20*n**5 + 0*n**3 + i*n**4 - 2*n + n**2. What is the derivative of a(q) wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**7\/1260 - j**6\/144 + 7*j**5\/360 - j**4\/48 - 21*j**2. Solve r(g) = 0 for g.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**5\/15 + 2*b**4\/9 - 2*b**3\/9 - 6*b**2 - 46. Let k(i) be the second derivative of g(i). Suppose k(d) = 0. Calculate d.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in 66, 2\/9, -1, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 227 = 5*v, 5*m - v + 299 = -282. Let p = m - -116. Suppose -3*n = 3*t - 8*n - 10, 4*t - 2*n + 10 = 0. Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42*(-36)\/882)\/(2\/(70\/(-25))).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16473583*r*z**3 + r*z**2 - 5*r*z + 247*r + 25*z**2 wrt z?\nAnswer: 98841498*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*f**5 + 23910588*f**4 + 14292938937362*f**3 + 40019931577384*f**2 - 65747192015616*f + 11434297590272 = 0. Calculate f.\nAnswer: -1195528, -4, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -48, -104, -216, -402, -680?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25655732 divided by 982?\nAnswer: -26126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 2*p**2 + p. Let n be v(-1). Suppose -2*d + 662 = -3*o, 5*d - 331 = 4*d - n*o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 + t - 1. Let x be 4 - (3 + 4) - 1. Let c be 0 + (0 + x - 1). Determine y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/35)\/(-3) - 22\/(-10). What is the derivative of 21*l**2 - 16 + 3*l**3 + 20*l**w - 41*l**2 wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from uqgyj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6420244354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t**4 - 188*t**3 - 364*t**2 - 132*t + 72 = 0 for t.\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Suppose p = f + 3. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39458 + -14?\nAnswer: -39471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*r - 20 = 0, -2*h - 3*r = r - 12. Let z(o) = 34*o - 7. Is z(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*p**2 - 208 - 212 + 5*p**4 + 420.\nAnswer: 5*p**2*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 21. Let d = g + -9. Let t = -7 + d. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23429870.96 from -1555.\nAnswer: 23428315.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 4*s = -5, s = -2*n - 19. Let w(l) = -2*l - 2. Let a be w(n). Solve -14*h = -a*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = v - 2330900003, 3*p + 586263134 = -2*v - 812276860. What is p rounded to the nearest 1000000?\nAnswer: -466000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417004.\nAnswer: 2, 7, 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10262712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) 50 (c) -0.01 (d) -0.4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97721 - -19540507.3.\nAnswer: 19442786.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3716 = 4*f, 3*f + 17*a = 20*a + 2787. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v - 34. Let t be p(-5). Let u(f) = f**3 + f + 8. Let j be u(0). Is (-2)\/j - (-148)\/t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q\/q**(-5\/9)))\/q*q)\/(q\/(q\/(q**0*q))))\/(q**(3\/4)*q**(-14)\/q) assuming q is positive.\nAnswer: q**(493\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -7*z - 52. Is 11 a factor of (-439)\/z + (-44)\/(-176)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - x**2 + 0*x**2 + (-2 - 6 - 1)*(-4*x**2 - 2*x**2 + 4*x**2) - x**2 + 2*x - 2*x.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 42 = -16*j. Let r(f) = 33*f + 138. List the prime factors of r(j).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Let z be (2\/1)\/(-3 + 13). What is the nearest to -2\/7 in l, z, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*k**5*r**2 + 5*k**3*r**2 + 33*k**2 + 2*k*r**2 - 1 wrt k?\nAnswer: -1620*k**2*r**2 + 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 6?\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*y - 2*g, 2*y - y - 4*g = 36. Suppose -y = 4*t, -5*t - 13 = 3*h + h. Differentiate -2 - 55*m + 54*m + 1 + h wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 420569 and -25.9.\nAnswer: -10892737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208)\/156*(-9)\/3. Factor 1\/3*m**5 - m**3 - 5\/3*m**2 + 1\/3*m**s + 0 - 2\/3*m.\nAnswer: m*(m - 2)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/4 + j**3 + 2*j + 3. Let t be r(3). Suppose 2*q - 12 = -t*q. Calculate the highest common factor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-10*1)*4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1, 1, 75.2, -9, -3 in descending order.\nAnswer: 75.2, 3\/2, 1, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c + 20, 0 = n + 5*c - 14. Suppose 1 = -2*u - 3. Sort -1, u, n in increasing order.\nAnswer: n, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280369016 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: What is the next term in 21357630, 21357630, 21357632, 21357636, 21357642?\nAnswer: 21357650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67268859*u**4 - 2*u + 918264 wrt u?\nAnswer: 807226308*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 33. Let n(u) = -7*u + 66. Let d = 18 + -13. Let p(b) = d*l(b) - 2*n(b). List the prime factors of p(15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129.7 - -104. Let g = o + 25.3. Sort -1.4, 3\/7, g, -3 in decreasing order.\nAnswer: 3\/7, g, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 53\/11 + (-2)\/(-11). Suppose -f*x + 56 = -14. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 70, 204, 404, 670?\n\"Answer: 33*y**2 - 31*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 2*k + 16 = 0, -49*k + 19 = -m - 45*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 14\/4)\/(-2). Which is smaller: 12451 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -31*p + 8702. Let n = 101 - p. Which is smaller: n or -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 693318164*m**4 - 1213556108*m**2 wrt m.\nAnswer: 16639635936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 - 5*h - 6. Let m be q(5). Let z be (m\/4)\/(6\/8). Let t = z - -5. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*a + 4 + 5 - 1 as h + t*a and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29044, 28976, 28910, 28846, 28784, 28724?\n\"Answer: h**2 - 71*h + 29114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1, 3, -389.\nAnswer: -389, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = -14, 0 = 5*y - n - 12. What is z in z - 2*z**2 + 5*z**y - 4*z**3 - z + z = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*u**2 + 341*u**2 + 138*u**2 + 13*u**2.\nAnswer: 876*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q**3. Let x(i) = -5*i**3. Suppose 0 = 5*a + 3*k - 64, -21*a + k = -18*a - 30. Suppose -2*h + 0*h - 12 = 0. What is a*x(z) + h*m(z)?\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52341 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-4 - (-4 - (0 - (-2 - 1) - -1)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = 3*o - 0*o, 3*o + 56 = 5*b. Suppose 0 = -5*h + g + 6, h + 3*g = 6*g - b. Suppose -f - h*f - 4*m = -1001, 2*f - 2*m = 658. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -464 + 950. Suppose 5*d - 484 = -2*z, -753 - h = -5*z + 2*d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 199*x = -744 - 455, 3*x - 2 + 5 = 4*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -73006860 to the nearest 1000000.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1636*f + 3377*f + 7922*f = -569140 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2486de - -54?\nAnswer: 248732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 - -123.02. Let j = 0.02 - i. Let t = 4.521 - 3.221. Which is the third biggest value? (a) t (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 3*o - 9*o - o + 21*o.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/714*(-3)\/((-96)\/7)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -47. Put s, 0.3, -3 in ascending order.\nAnswer: -3, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 - 243*p**3 + 8667*p**2\/4.\nAnswer: p**2*(p - 963)*(p - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -25*(21\/6)\/((-4)\/8). Let p(z) = z + 19. Let f be p(-12). What is the greatest common divisor of f and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10) - sqrt(60)\/sqrt(24)))**2 - (-1 + sqrt(76) - (-3 + (sqrt(19) + 0)**2)).\nAnswer: -2*sqrt(19) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 376 + 895. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 260, 88967 in ascending order.\nAnswer: -0.3, 260, 88967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -41 - 52) + 0 + -4 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/4 + 81*m**3\/4 + 459*m**2\/4 + 679*m\/4 + 75 = 0. Calculate m.\nAnswer: -75, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.2 times -3?\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*p + 1679 - 1679)*(-3*p**3 + 0*p**3 + 0*p**3).\nAnswer: 141*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1740 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 1\/3, 4, 0.0435, -0.403?\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Suppose 2*l = -2*s + 16, o*s = s - l + 16. Suppose -u - s*u + 60 = 0. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0223 times 0.2?\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.57673 and 0.19.\nAnswer: 0.76673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2219813?\nAnswer: 5\/2219813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41424424 + -10?\nAnswer: 41424414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/180*5*2\/8\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5 + 17.5. What is the second smallest value in z, 3, -4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 4*j**2 + 7*j + 7. Let p be n(-5). Suppose 7 + 1 = 4*k, 3*h + 6 = -3*k. Let c be 6\/h - 3\/(-6). Are p and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14256734055 + -3?\nAnswer: -14256734060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.26189 + -47.\nAnswer: -73.26189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3266 - 8931 + 1074 = 185*p + 8672 for p.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 6785005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/13 (b) 2 (c) 0.3 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7179 divided by 2\nAnswer: -7179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-84) + 124*(-5)\/(-5040)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v - 7*v**2 - 11*v)*((-6 + 4 + 1)*(2 - 2 - 1) + 0 + 0 + 2)*(1 - 5 + 3).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 + 186*a = 0 for a.\nAnswer: -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21470036 to the nearest integer?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 2. What is the greatest common divisor of 20 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/(19\/190*(-12)\/(-27))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 514 + 459. Suppose b - 241 = 5*d + 4*l, l + 2 = 0. Let s be 3 - 6 - (d*-1 + 0). What is the greatest common factor of 58 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 13, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 209.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6324)\/170 - -36)\/(2\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 112890371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*z + g + 4*g, -z - 2*g - 7 = 0. Suppose k + 8 = n, 30 = -2*k - 0*k - 5*n. Let f = 8 + k. Put -4, f, z in descending order.\nAnswer: z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 12 + (-108 - -14 - -21)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(sqrt(6) + sqrt(42)\/(sqrt(28)\/sqrt(4))))\/((-6*(-2*sqrt(3) - sqrt(3)) - 2*-2*sqrt(3))*2).\nAnswer: -5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204 + 611\/3. Let i = -0.1 + -3.9. What is the third biggest value in i, f, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367660 divided by 2372\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (2 + (0 - 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - (-23 + 3) - 1. Is 1563\/3*(27 - s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 5. Let x = 10 - 5. Suppose d + v = 33, -4*v = x*d - s*d - 95. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044, 2067, 3048, 3987, 4884, 5739, 6552?\nAnswer: 7323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -25. Let t = -16.5 + x. Let r = t - -0.5. Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5500.6028 - -5499. Let k = -1.6 - h. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 35. Let c = 155 + -108. Calculate the remainder when c is divided by (1 + -2)\/9*m*6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-22)*-12)\/(((-9)\/17)\/3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28164, 55657, 83150, 110643, 138136, 165629?\nAnswer: 193122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from eeiiendepfddddide.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = 243 + 253. Which is the biggest value? (a) n (b) 4 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45444158, -90888335, -136332512, -181776689?\nAnswer: -227220866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0632 + -499.9368. Let w = h - -505. Which is the closest to 0? (a) w (b) 1\/2 (c) 0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1319 + -1991. Let w = 682 + m. Let z(k) = 4*k**3 - 10*k. Let p(g) = g. Give w*p(b) + z(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15*(-4)\/2. Which is the nearest to 0.2? (a) o (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:27 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -782*v**2 + 9371*v + 182. Give t(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 372*h. Let b(r) = r**2. What is a(b(k))?\nAnswer: 372*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 10*q**2 - 12*q - 11. Let i be d(-11). Suppose -4 = -s - i*s. Suppose 0 = -s*w + 47 + 25. What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-10))\/a*a)\/(a*a*a**(-6)*a))\/(a**(3\/10)*a\/a**8*a))**(-26\/3) assuming a is positive.\nAnswer: a**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15446)\/(-4)*8 - (54 + -45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 + 70*p - 253. Give d(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + 3)\/12*-2)\/5. What is the nearest to -1 in 17, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1683.091 - -1683. Which is bigger: 0.6 or h?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 + 93 + -89\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1762 + 1762.00000127459. Round k to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*w - 1209 = 3012 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrsksusk. Give prob of sequence ksu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*z**2 - z + 4*z**5 + 12*z**2 - 8*z**4 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4*x**3 + 224*p**4*x**2 + 6*p*x**3 + 2*p*x + 56*p wrt p.\nAnswer: 12*p**2*x**3 + 2688*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + 2*g + 5, 0 = -4*n + 2*g + 30. Suppose -3*k + 3 = 0, 0 = n*z + 2*k - 101 - 6. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1863\/(-810)*-1*10. Suppose -k = -8*a - 7. Solve 4*x - 4*s + 35 = -x, 0 = -x - a*s + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, g: 2, x: 1}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 133873\nAnswer: 401619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148740840 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (456*q - 1464*q - 2016*q)*(q + 4*q - 7*q)*(-q**3 + q**3 + 2*q**3).\nAnswer: 12096*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 12*g + 10. Let u be t(12). Suppose 22 = -3*r - 2. Let v = r + u. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-34)\/(-9) - 16\/(-72). Suppose 0 = -2*q - q + w*f - 17, q + f = 5. Let r be -2*q - (-6 + 2409 + -5). Round r to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (180\/(-48))\/((-6)\/496). Suppose -4*g - w = -9*g. Suppose -3*j = -3*u - 198, 2*j - g = -4*u + 70. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -4. What is the least common multiple of r and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2651*z + 32724 = -48509 + 42797 - 91463 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - ((8 - -8) + -17)) + 17.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 52*l - 426147 = -426434, -56 - 5 = -2*n - 2*n + 5*l for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or 1\/10?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/3*(-60)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 19 - 27. Suppose -5*x + 88 - 18 = 0. Solve 2*a = -l*k - x, 1 = k - 4*k + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6536*k**2 - 3159*k**2 + 2364*k**2.\nAnswer: -7331*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -18*y**5 - 28*y**4 + 16*y**3 = 0.\nAnswer: -2, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04073074 rounded to 3 decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111100 (base 2) to base 10.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(1\/53))\/(a*a**12))\/((a\/(a**(-8)*a))\/(a*a*a*a**3)) assuming a is positive.\nAnswer: a**(-690\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19 - 88 + 27 + 72*y**2 + 22 + 850*y**3 + 24 wrt y?\nAnswer: 5100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h - 1. Let u(k) = -k**3 - 2*k**2 + 7*k - 3. Let b = -336 + 334. What is b*o(d) + u(d)?\nAnswer: -d**3 + 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqaqa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2044810 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1094*h**3*r**3 + 2097*h**3*r - 75936*h**2*r**2 + 2*h**2*r - 3*h*r**3 - h wrt h?\nAnswer: -6564*r**3 + 12582*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 329\/(-2)*(-8 + 6 + 0). Let n = c + -205. What is the highest common divisor of n and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 35*n + 8. Let j be w(-12). Let y be (6\/j)\/((-2)\/164). Suppose l + 3*o + 35 = y, -5*l - 4*o = -407. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.96 + 6. Let h = o + 4.96. Let w = h + -4.99994. Round w to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c + c - 14*c to l*c + p and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a2e (base 15) in base 12?\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 4*n - 4, -4*n = 8. Let h be t\/(20\/(-465))*(0 + -1). Let l = h - -181. 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: What is 371 minutes after 3:48 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 3826 + 486 = 0. Let t = -160 - y. List the prime factors of t.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*a**3 + 111*a - 184*a + 76*a as m + o*a**2 + p*a + w*a**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 823 + -37034\/45. Let a(l) be the second derivative of 0*l**2 + 1\/15*l**5 + 0*l**3 + 0 - 1\/18*l**4 + 29*l - i*l**6. Determine x, given that a(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3292998 - -1?\nAnswer: 3292999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -208, -2, 99 in decreasing order.\nAnswer: 99, 9, -2, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*x**3 + 5*a*x**2*y**2 + 2*a*x*y**2 - a*y + 4*x**3*y**2 - 3*x**3 - 4*y**2 wrt x.\nAnswer: -12*a + 24*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/49, -4, -1, 0, 1, 91 in decreasing order.\nAnswer: 91, 1, 0, -1\/49, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/7)*t*t)\/t)\/t**5 assuming t is positive.\nAnswer: t**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v = -5*v - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.17 and -0.2.\nAnswer: -0.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 64*l**2 - 1. Let c(x) = -720*x - 2*x**2 + 359*x + 361*x. Determine q(c(g)).\nAnswer: 256*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16142 and 26782.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(11\/((-33)\/(-12)))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 5*c + 3. Let d be p(2). Let b(x) = -x - 3. Let g be b(d). What is the units digit of (-1 + g)*7*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34263*d**2 - 2 - d**3 + 34276*d**2 + d + 0*d**3 + 5*d**3 in the form x + q*d + o*d**3 + w*d**2 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 6*p + p. Let n(a) = -2*a**2. Give n(h(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*n = -62*n - 16*n + 5572. Solve 0 = -4*c - 28*v + 33*v - n, -v + 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 2*sqrt(252)*-3 + 2.\nAnswer: -30*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1218 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -19*o. Let m(n) = 24*n. Let r(b) = -5*i(b) - 4*m(b). Let k(z) = -351*z. Calculate r(k(a)).\nAnswer: 351*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/12)\/(2\/126). Suppose b - 4*b = -r. Suppose 4*t = -c - 6, -5*c - 5 = -c - 3*t. Put c, -3, b in descending order.\nAnswer: b, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -12*r + r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 498519114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21670 by 394.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -9*m + 16*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.661618 - -131.7?\nAnswer: 138.361618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Suppose -4*m = -0*s - s - 7, -2*s = -2*m - 4. Let z = 7 + -3. Let q(t) = -z + m*t + 4. Determine l(q(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -4 (c) -3.16 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 80 - 24 = 0. Let v = 69 - c. Suppose -4*t + 81 = -v. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 11*v + 27*v + 424*v + 95*v**2 + 460.\nAnswer: -5*(v - 23)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 18*z**2 - 73*z + 51. Let j be y(-7). Solve -33*r + 70 = -j*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*u - u. Suppose -1 + u = 3*q. Solve q*h = h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = 20*c - 0*c - 430 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-255)\/40)\/(1*1*22\/(-176)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001991241 rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(12)*-4 + 2)*6 + -5.\nAnswer: -48*sqrt(3) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + s - 22. What is w(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-279*6\/(-9). Let i = -85 + m. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4 - f**3 - 2*f - 4*f**2 + 6*f - 2*f. Let l be (-49 - 5)\/6 - -4. What is m(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/357? (a) 4\/5 (b) 5382 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q - 22. Let i(z) = 56*z + 57*z - 112*z. What is i(n(h))?\nAnswer: 6*h - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5.1. Let q = 5.1 - k. Let l = -0.4692 - -0.4892. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -53, -164, -381, -740, -1277?\n\"Answer: -6*m**3 + m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2405 or 1?\nAnswer: -2\/2405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 4*w. Let u be o(5). What is the highest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/120 + 7*l**5\/60 + l**4\/24 - 7*l**3\/6 - l**2. Let q be t(7). Let y(d) = 0*d - d + q*d. Let m(u) = 3*u**2. Give m(y(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 + 1 = 0. Let z = n - 11. Let r = 37 + z. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81792.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 52 (b) -108203 (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1098*i*m**2 + 2*i*m + 28*i - 115007*m**2 - 71 wrt i.\nAnswer: 1098*m**2 + 2*m + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 48*x = 342. What is the greatest common divisor of x and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4880575.\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -4. Suppose f*h - 1 = 14. Let u = 2.5 + -2.7. Which is the nearest to -0.1? (a) -5 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 e when three letters picked without replacement from {g: 1, f: 5, e: 5, o: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*v = 20, -i + 2 = -2*i + 2*v. Suppose t + i*k + 24 = -k, 5*t + 4*k + 15 = 0. Let b be t*(0 - 2\/(-6)). What is the smallest value in -2\/21, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17220669 + 1813\nAnswer: 17222482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 0*l - 145 - 27\/8*l**4 - 1\/2*l**3 + 0*l**2. Suppose t(j) = 0. Calculate j.\nAnswer: -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 169, 386, 701, 1120?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 59653 (base 12) to base 11\nAnswer: 82306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m - 110 + 7*m + 7*m.\nAnswer: 2*m - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24194*f**2 - 24185*f**2 - 42 + 2*f**5 - 5*f**5 + 42*f**4 + 2*f - 1897 wrt f?\nAnswer: -60*f**3 + 504*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684 is divided by 840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -100, -126, -174, -250?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.04 (b) 3 (c) 5 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-5 + sqrt(1900)) - sqrt(1900))**2 + (-3 + -5 + sqrt(1900) + sqrt(1900))**2)*-2.\nAnswer: -30978 + 1840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-14)*b))\/b*b\/b**(5\/2)*b assuming b is positive.\nAnswer: b**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(196) - sqrt(196))\/sqrt(7) - sqrt(252)*6)**2*-2*-3.\nAnswer: 54432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*3*(-3)\/(-9). Suppose 0 = -8*s + 3*s - u. Let p be 4\/(-10)*(-6)\/(-4). Do p and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 + 13 = -3*n, 4*a + 3*n - 29 = 0. Suppose 10 = a*m - 3*b - 6, 4*m - 5*b = 18. Suppose 0 = i - 2 - m. Sort -1, 0.1, i in ascending order.\nAnswer: -1, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.8 - 27.2. Let n = -36 - c. Put -1\/2, -2\/9, n in decreasing order.\nAnswer: -2\/9, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 13755 = -29*o. What are the prime factors of o?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4536*f**4 + 635*f**2*v + 48*f**2 - f*v + 3*f + 16755563*v - 3 wrt f?\nAnswer: 54432*f**2 + 1270*v + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 11. Determine v(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43758 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.463 - 11.467. Let g = i + 12.930731. What is g rounded to five decimal places?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 13\/2 (c) -0.1 (d) 0.3 (e) -0.26 (f) -0.6 (g) -2\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2384.9 + -2384.899988491. Round c to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Suppose -g + 4*g - 11600005 = -4*q, -x*g + 9 = 0. Suppose -5*f - q = b, 488270 = -4*f - 4*b - 1831726. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**2. Let u(z) = -3*z**2 - 18*z + 9. Let p(k) = -k**2 - 8*k + 4. Let c(x) = -9*p(x) + 4*u(x). Give c(m(d)).\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 25*a - 65. Let y be p(5). Solve y = -8*w - 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -42. Let q(v) = -3*v - 17. What is the units digit of q(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84271773 a multiple of 5689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3460*i**2 + 6 + 3113*i**2 - 6565*i**2.\nAnswer: 8*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 1044*u - 21280.\nAnswer: (u - 1064)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*n - 12 = 0, 2*v + 3*n + 28 = 6*v. Solve -2*k = 3*m + 1, 5*k = v*m + 6*k + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*h**2 - 74*h**2 - 20 + 34*h**2 to the form p*h + n + b*h**2 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -19. Suppose -5*c + 15 = -5*h, a*c + h = 7 - 4. Let v(u) = 3*u**3 - 3*u**2 + 2*u - 1. What is the tens digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -18570*n + 649947. Calculate i(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*w**3 - 1923196*w**2 + 38527145056*w + 32107289780.\nAnswer: 4*(w - 40067)**2*(6*w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-24)*1386\/110*(-5)\/6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19438526 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 + 252100*l - 756318 = 0.\nAnswer: -126053, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 11*p - 9*p - 1 in the form n + m*p and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16287035246\/6270072 - 11\/66. Let w = d + -30\/261253. Let g = 2599 - w. Find the common denominator of g and -41\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 2235520?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11569.246 rounded to the nearest 10?\nAnswer: 11570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - v**3 - 2*v**3 + 767393 - 767392 - 4*v**3.\nAnswer: -5*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*s - 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.95 + -18. Let s = l + -0.949953. What is s rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.28, -0.2, 56, -3, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20580 divided by -490\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 22 = 2*f, 0 = 2*f - 5*v - 24. Let d(m) = -4*m + 11. Suppose -4*c = -12 - 4. Let w(z) = c - 2*z - 4 + 6. What is f*w(j) - 4*d(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513507 + 148010. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 9*o**2 + 763*o - 88. Determine i(23).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = d + a - 34, -d = a - 44. What is the remainder when d is divided by (-49)\/(-5) - (-4)\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295\/1062*78\/325.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -181535.2348 to the nearest 1000.\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, -16, 13.\nAnswer: -16, -3, -2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3234)\/588)\/((-4)\/((-2)\/1))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1011210 (base 5) to base 11\nAnswer: -11387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 14*c**2 - 52*c - 71. What is r(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*n + n + 376, 4*n + 1568 = 4*r. Let y = -280 + r. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158)\/(-237)*-10*1*15\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-20 - (-8 - 80\/8))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = 453*j - 454*j. Calculate the smallest common multiple of 8 and j.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/183 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42358135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(27)*4 + sqrt(27) - sqrt(27))\/(sqrt(9) - -6*sqrt(225)) - ((sqrt(192)*1 + sqrt(192))**2 - (sqrt(75) + sqrt(75)*-1 + sqrt(75))**2)*4.\nAnswer: -2772 - 12*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -258.3 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b4636d + 4?\nAnswer: b46373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -617?\nAnswer: -4\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4706 bigger than -4708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 11 - 10 = -5*d - 50, -d - 3*m - 22 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 12:57 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 44.05. Let k = -91 - -457\/5. Is y >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 155170.\nAnswer: 310340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 36 + r**2 - 36 + r**2 + 0*r**2 + r**2 + (-r - 2*r + 2*r)*(-r + 2*r + 0*r) + 2 - 2 + r**2 in the form d*r + y*r**2 + q and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3053740 is divided by 293.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -40*y**2 - 96*y + 0 + 21\/2*y**3 + 1\/4*y**5 + 15\/4*y**4 = 0.\nAnswer: -8, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1570 + -401?\nAnswer: -2071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1)\/(-1) - 1 - -458. Suppose -228*n - y = -233*n. What is the highest common factor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9194742*o**2 - 44280*o + 5535. Let x(n) = 3323*n**2 - 16*n + 2. Give -16605*x(m) + 6*y(m).\nAnswer: -9963*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194712 and 54?\nAnswer: 1752408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from lebdp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(98)*-3 + -3)*-5 - -5*-1*(3 + (sqrt(98) - (sqrt(98) + 0))))**2.\nAnswer: 88200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcgc when four letters picked without replacement from {o: 1, a: 1, z: 2, d: 1, c: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i + 6. Give y(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 - -339. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -8\/3, 1\/3, -0.04, 0.2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-27))\/((-1)\/3). Let p be 10\/(-25) - 39\/15. Calculate the remainder when a\/p - 440\/(-24) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-20 + 10 + 13)*(2 - 4 + 1)*(-108 + 108 - 18*a).\nAnswer: -54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 3:51 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1394744254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*d**3 - 30*d**3 - 2 - 35*d**3 - 6*d + 6*d.\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 (base 6) in base 8?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 15*j - 1. Let c be (1 - 5) + (1 - -2). Let w be (-4 + 2 + 9)*c. Is 19 a factor of y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/52230 and 97\/765?\nAnswer: 2663730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 879*v**2. Let z(d) = -2*d**2. Determine w(z(k)).\nAnswer: 3516*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013348 * 17.\nAnswer: -0.226916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 + 7 - 4*o**2 + 5*o - 4*o**2 + o**2. Let z be w(-5). Suppose 2*x - 3 - z = 0. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(0 - 1 - 1)*(-4*i + 4*i + 9*i) as t + w*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 903429151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 7796*s + 7794*s + 15.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 6:31 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 9*b - 17)*(-192*b + 95*b - 9 + 76*b + 9) to r + z*b**2 + s*b and give z.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5621352 and 8955.\nAnswer: 84320280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3 (b) -0.22 (c) -1 (d) -3652\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 122*g - 1339. Let q be r(11). Let p = 7 + -7.06. What is the closest to p in -3, q, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4\/6 + 5*t**3\/6 - 3*t**2\/2 + 7*t\/6 - 1\/3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(50) + 5*(sqrt(2) + 1))**2 - ((-1*(sqrt(4)\/sqrt(2))**2 - (5 + sqrt(2)*1)**2) + -5).\nAnswer: -1262 - 470*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7327128100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157\/(-858) + (-14)\/(-12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 299\/(-5) - 40\/200. Let j be n\/11 + 96\/176. Sort -16, -3, j in decreasing order.\nAnswer: -3, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/64 + ((-125)\/(-140) - (-128)\/(-896)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.34 in 1\/234, 4, 2\/4907?\nAnswer: 2\/4907","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.811 + -13.511. What is the second biggest value in -1, p, 3, -3\/13, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4 - 136*o**3 - 3420*o**2 - 37800*o - 155250 = 0.\nAnswer: -23, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-8) - (-2856)\/32. Let y be (j\/91)\/(33\/(-154)). Let m = -1046\/221 - y. Which is the nearest to 0.1? (a) m (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153240.\nAnswer: 2, 3, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 26*a**3 + 1097*a**2 - 85*a + 101. What is the ten thousands digit of v(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g - 464 - 255 + 5 = 231 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x**3 + 0 - 1\/24*x**4 + 0*x - 4*x**2. Let a(p) = p - 1. Let t(v) = -1. Let h(f) = -6*a(f) + 6*t(f). Calculate d(h(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13998449?\nAnswer: 431, 32479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1) + (30 - 14) + 0 + -22\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -20\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/81 + -4\/81. Which is the nearest to 1\/2? (a) -0.3 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 172 = 2*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 9:28 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 11*f**2 + 5*f + 36. Let d be k(-5). What is the smallest value in d, -0.2, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -924, -3638, -8158, -14478, -22592, -32494, -44178?\n\"Answer: y**3 - 909*y**2 + 6*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 + -124. Let p = a - 59. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21418\/117 - 1654\/9. Let w = k - -18\/13. Which is the second biggest value? (a) -1\/3 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 13*u - 18. Determine i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2099420 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.2 (c) 0.5 (d) -2\/13 (e) -415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -33. Let c be (1\/(-3))\/(2\/b). Suppose 4*m = c*m + 6. What is the greatest common factor of 15 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3134151172 - 859.3136136172. Let v = -859 - t. What is v rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 18}. Give prob of picking 2 z.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4)*(-66108 + 66108 + 590*o).\nAnswer: -2360*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50 and 0.040647?\nAnswer: -2.03235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -15*r + 14971. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10336779 is divided by 1722796.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**5\/20 + t**4\/6 + t**3\/6 - t**2\/2 + 2*t - 185. Let h = -6 - -4. What is x(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - s**2 + s - 1. Determine r(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.042 - 0.058. Which is smaller: k or 0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*a = -0*c - 12, 0 = -36*c + 8*c - 2*a - 20829 + 20765 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 + 6 = 0. Let o(j) = 94*j - 89. Let g be o(1). Solve -l - 4*k + r = g, 0 = 5*k + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 26\/5 (b) 417 (c) 2\/3 (d) 0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26321559 and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5438787, 21755150, 48949089, 87020604, 135969695, 195796362?\n\"Answer: 5438788*p**2 - p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 15*n**4\/4 + 16*n**3 + 39*n**2\/2 + 6*n + 31. Factor a(f).\nAnswer: 3*(f + 1)*(f + 2)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -43. What is the lowest common multiple of n and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r. Let s(m) = -m**2 - m. Let x(n) = b(n) - 3*s(n). Let k be x(3). Let y = -6245 - -6289. Calculate the highest common factor of k and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 - 7*r + 2. Let j be k(-5). Find the second derivative of u**5 + 34*u - 5*u**5 - j*u wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(1\/3)))\/f)\/(f**(-2\/3)\/f))**(-11)\/((f**(-2\/9))**(-9))**(3\/49) assuming f is positive.\nAnswer: f**(-557\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-3) + 2\/(-6). Let j be 99\/21 - (-17)\/(255\/(-75)). What is the third smallest value in 4\/7, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:31 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -61, 36, 215, 506, 939, 1544?\nAnswer: 2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -83*s + 5647. Let g be i(68). Solve -g*d = 4*d + 49 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*b**2 + b - 54*b**2 - 3*b - 41*b**2 in the form n + t*b + s*b**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 - 5)*(-2*n + 0 + 0) + 2*n - n + n + (2 - 3 - 1)*(1 - 2*n - 1) + 5*n - 3*n + n)*(4*n + 3*n - 5*n) to the form q*n + t + d*n**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933534 is divided by 666.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(((-22)\/12)\/(-11)). Let b(m) = m**3 + 9*m**2 - 16*m. List the prime factors of b(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000260097688 to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -421741769 and 0.09?\nAnswer: 421741769.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 10 + -6 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 475560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00355963 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/2, -3, 8, 92, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -358*f + 2898. Let h be z(-9). Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)*j\/(j\/(j**38\/j)) assuming j is positive.\nAnswer: j**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/119 and 7\/85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.975599t to milligrams.\nAnswer: 5975599000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-2 - (-4 + 2)). Calculate the greatest common factor of 9 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/31 or -466?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 + 5352*x - 21482928.\nAnswer: -(x - 8028)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h + 80 = -0*o + 5*o + 16*h, -3*o - 5*h + 17 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = -4*m - t, -m - 4*t - 64 = -195. Solve -m = -z - 129 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-780)\/2275)\/((-1)\/(-5))*14\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 - 2295*g + 22819. Determine r(10).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17978 plus 0.2?\nAnswer: -17977.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17ba71 - 1a2?\nAnswer: 17b88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (-3 + (3 + (sqrt(539) - -4*(-1 + sqrt(539)))*6)**2)*-5).\nAnswer: -9710748 + 176400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*z - 620 = -996*z + 388*z + 484 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*d + 7, -5*v - d = 11 - 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - x**2 - 4*x - 6. Let k be r(3). What is the second biggest value in 20\/13, -3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0442362 times 42?\nAnswer: 1.8579204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -48, -3 in increasing order.\nAnswer: -48, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 18463*p - 110781. Determine g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 4*v - 1270 + 74, -5*v + 586 = 3*p. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 10. Let b be k + 3\/(-4) + 2\/(-8). Solve b*c + 2 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:12 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -259 - -705c?\nAnswer: 6e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 1. Calculate z(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139901 divided by 5.\nAnswer: 139901\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 68*n + 2*n. Let s(l) be the third derivative of 1\/2*l**3 - 1\/12*l**5 + 0*l + 1\/120*l**6 + 0*l**4 - 3*l**2 + 0. Determine s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -18 - (11 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 2. Let v be r(5). Let u be 18\/(-42) - 10\/(-7). What is the tens digit of 3 + (v - (-55)\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16 + 4 + 2*l**2 + 8*l + 3*l**2 - 4*l**2. Let j be g(-10). Find the third derivative of 3*w - 3*w**2 - 2*w - w + j*w**3 wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -27*a**3 - 2*a**2 - a. Give s(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -38\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**4\/5 + 6*o**3\/5 + 12*o**2\/5 - 6*o\/5 - 9\/5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -193500 and 2.031928773?\nAnswer: 193502.031928773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949125.2 decades to years.\nAnswer: 9491252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - 79 - (3 - (3 - 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbb. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003858 rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-54) + (-416)\/11232.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -1\/4, 5, 0.023?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -69 (b) -1 (c) 1 (d) 3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 7\/3*p**4 + 0 + 4*p**3 + 19\/30*p**5 - 13*p**2 - 1\/105*p**7 + 1\/30*p**6 + 2*p. Let k(s) = 0. What is s?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + -193. Suppose 0 = c - 2*z + 4*z - 7, -c - 5 = -z. List the prime factors of 7 - o - c - -211.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 29 - (8 + (1 - -3) + 82)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - (-4 + 4) - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 209 = 4*u. Suppose 9 = -4*c + u. Suppose 3*l + c*a - 165 = 2*a, 0 = a - 3. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91830128 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 38352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(448) + (sqrt(448) + -1)**2) - sqrt(448) - ((sqrt(7) - (-1*sqrt(14) - sqrt(14))\/sqrt(2)) + ((sqrt(196)\/sqrt(4))\/sqrt(7))**2)).\nAnswer: -118*sqrt(7) + 5374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((1 - -4) + -1)) + -8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17975 is divided by 4493.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*v - 11. Solve -2*t = -v*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -2\/9*l**2 + 0*l - 30 + 2\/27*l**3. Factor o(t).\nAnswer: 2*t*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49213 divided by 3.\nAnswer: 49213\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/6 - v\/6 + 2 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 0, 211 = 2*p - 4*y + 3*y. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*c = -70*c + 121*c - 624 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (7\/(-35))\/(1\/5). Solve 93*d - 81*d - 48 = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 13.103.\nAnswer: 65.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0.3, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - -8.5. Let z = -11 + s. Let f = -23 + 29. Which is the third biggest value? (a) -0.1 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*l**3*u**2 + 7032*g*l**3*u + 2*g*u - 2*l**3*u*x - 4*l**2*u*x + 9*u**2 + 59*u*x wrt l.\nAnswer: 6*g*u**2 + 42192*g*u - 12*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*f - 4, -2*f - 88*p + 90*p = -8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 65. Suppose 3*n = n + 2, -2*o + 1422 = p*n. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/24 + (-2)\/8. Let d(j) = -2*j + 3. Let o be d(8). Let l = o - -8. Which is the second biggest value? (a) l (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22651?\nAnswer: 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -140638321\nAnswer: 140638321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1015)\/(-3045))\/(((-9)\/(-3))\/(-477))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 39*i**2 - 39*i + 65. Let m be u(38). Suppose 0*z = -m*z + 108. What is the smallest common multiple of z and 58?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -45. Sort 0.2, x, 0.5, 4\/5.\nAnswer: 0.2, 0.5, 4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Solve 0 = -3*h + y*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 7*q + 5. Let g be x(4). Suppose -m + 43 = 4*b, -m + 3*b - 147 = -6*m. What is the greatest common factor of g and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 93. What is the remainder when 42 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6\/13)*y)**(-33) assuming y is positive.\nAnswer: y**(-1056\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*w + 24*w - 8*w**2)*(63*w**2 - 132*w**2 + 67*w**2).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1816829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -7. Let w = 9 + f. What is the lowest common multiple of w and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-100)*(-1)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p**2 + 25*p + 33. Calculate the smallest common multiple of 33 and r(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 534529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28886, -57761, -86626, -115475, -144302, -173101?\nAnswer: -201866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.277 and -23.\nAnswer: -22.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**7\/252 - 13*h**6\/720 - h**5\/120 - 7*h**4\/3 + 38*h. Let i(t) be the third derivative of j(t). Does 16 divide i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52644562 is divided by 319.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(2405\/(-666)))\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19068382 is divided by 4263.\nAnswer: 4246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 890.8 and 1071.\nAnswer: 1961.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1452\/24)\/(429\/156).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1896 - -1897. Let x = 3 - -4. Let d = x - 12. Sort -1, d, s.\nAnswer: d, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7520604 divided by -96418?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213.9725 + 214. Let i = -0.027376 + a. Round i to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 7*l + 28. Let d be n(-10). What are the prime factors of (-3 - d - -3) + -1 + 136?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 1 + 0\/5)*1. Suppose 0 = 5*p - 4*b + 16, 17 = -4*p + 2*b + y. Let v(n) = -n - 1. Let q be v(4). Is q not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*g = -76, 320 = 2*w - 3*g + 294. Solve -9*i - 14 = -w*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-51)*(-36)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 7, h: 5, f: 2}. What is prob of picking 1 e and 2 r?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 940.1959ml?\nAnswer: 0.9401959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*c - 39456 = -15*c. What is the nearest to -1 in 1, c, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 390 - 396. What is the biggest value in -0.1, d, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -19. Suppose 2*k - 7 = -3. Solve -k*y - y + i = 4*z, -4*y - z = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1418, -1447, -1502, -1589, -1714, -1883?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -c + 4, -3*c + 3*x = -x - 2. Let m(d) = 2*d + 3. Let l(p) = 1. Let b = -14 - -14. Suppose -2*q + 0 + 2 = b. Calculate c*l(r) + q*m(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.650241 decades?\nAnswer: 678.02892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p. Let j(y) = -4*y - 5 + 13*y - 4*y + 3*y**2. Let q(n) = -4*n**2 - 6*n + 6. Let r(f) = 6*j(f) + 5*q(f). What is r(h(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.7 + -18. Let t be (-461)\/(-8) - 3\/(-24). Let c = 58 - t. Do c and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376084707?\nAnswer: 3, 23, 5450503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -21856\nAnswer: 21855.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 1375 = -0*l. Calculate the remainder when 437 is divided by l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -999, -1537, -2075, -2613, -3151?\nAnswer: -3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/468692 and 48\/6167?\nAnswer: 468692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202789 is divided by 33794.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472706.4 microseconds to minutes.\nAnswer: 0.00787844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3989, -16029, -36095, -64187, -100305, -144449?\n\"Answer: -4013*k**2 - k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 211.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2a116 (base 12) to base 7\nAnswer: 333522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 64 - 13*w + 2*w - 13 + 2*w + 20. Let t be p(8). Which is the smallest value? (a) 5 (b) 3 (c) -2\/103 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 180.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(1\/((-6)\/(-4))). Let l be 6\/v + (-1722)\/9. What is l rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4559 is divided by 169.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558428 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v**(-6))\/v))**(-1\/4) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-15))\/(-17) + 67\/((-8241)\/4510).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 10. Suppose f*l = l. Suppose -c - 57 = -3*u - 4*c, -2*u + 4*c + 32 = l. What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110940 divided by 60\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 10, 1, 7831, -0.4 in decreasing order.\nAnswer: 7831, 10, 1, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -552*f + 556. Let b be j(1). Let y(z) = 14*z - 8. Let p(h) = 15*h - 9. Let s(m) = 4*p(m) - 5*y(m). Determine s(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(480)\/sqrt(10) - (-6*sqrt(363) + sqrt(363) + sqrt(363))) + (sqrt(72)\/(sqrt(4)\/sqrt(2)))\/(sqrt(192) - -2*sqrt(192)))**2.\nAnswer: 346921\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -138, 2, 507, -32\/5?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(2*s - 4*s + 0*s)*(-4 + 0 + 1).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2136*s + 2127. Determine o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 + 4264*i**2 - 67132*i - 71400 = 0.\nAnswer: -1, 17, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93034041 to the power of 1\/2, to the nearest integer?\nAnswer: 9645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-4\/13)*h\/h**6*(h\/(h*h\/h**5))\/h*(((h*h*h**(-2\/7))\/h)\/(h**(-11)*h))**6 assuming h is positive.\nAnswer: h**(436\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1229 + -1226. Solve -h*m = 76 - 73 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*j - 4*a, 0 = 2*j - 2*a - 21 + 5. Solve -2*f = -j*q + 18, -4*f = 4 + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1460)\/(-8030) - ((-1362)\/(-110) - 1) - -8.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 529, 1048, 1567, 2086, 2605?\n\"Answer: 519*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20534249 - 11305852. Suppose -2*r = 0, -3*f - 3*r - 22565210 = 33919981. Let u = f + c. Round u to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 27*g**2 - 9*g + 2. Let f be q(1). Solve f = 19*o - 23*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/11 - 12*s**2\/11 - 1182*s\/11 - 4408\/11 = 0.\nAnswer: -19, -4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**4\/12 + 17*q**3\/6 - q**2 - 25*q. Let z(p) = -3*p - 2. Let h(s) = -13*s - 9. Let y(f) = -2*h(f) + 9*z(f). What is i(y(m))?\nAnswer: 2*m + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001124 to 6 decimal places.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2432)\/sqrt(2) - (sqrt(19) - (-2 + sqrt(19) + -2)).\nAnswer: -4 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 158. Let r be c(-52). Solve 3*i + y - 6 = -r*y, 2*y = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1773 = 3*w, 7*w + 698 = 2*x + 3*w. What is the remainder when x is divided by 62?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -132, -302, -542?\n\"Answer: -35*i**2 + 5*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43465011 is divided by 5384?\nAnswer: 5363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 3. Let j(q) = -8*q - 17. Let r(v) = -3*v - 6. Let u(i) = 4*j(i) - 11*r(i). Let g be u(6). Is c(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 32 = -2*a, 4*h + 590 = 5*a + 492 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z + 23 + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 130\/(-19) - 1209\/7657\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1211213032?\nAnswer: 1211213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.8 + -39.8. Let x = -27.1 - -26. Let o = x - -0.1. Which is the biggest value? (a) 3\/7 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 + 7521*f**4*o + f**2*o + 20*f**2 + 5*f + 273 wrt f.\nAnswer: 240*f**3 + 180504*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1. Let c(u) = -4*u + 5. Let p(k) = -c(k) + 4*o(k). Let m(b) be the first derivative of 6*b - 21\/2*b**2 - 7. Give -2*m(v) - 11*p(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + 39\/(67392\/(-170964)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 5*d**3\/3 + 2*d**2 - 34*d. What are the prime factors of g(10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 7.12?\nAnswer: -11.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 15769*p - 13 + 13.\nAnswer: 15769*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27679, 27613, 27547, 27481, 27415?\nAnswer: 27349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o**2 + o - 15. Let a(m) = 48*m**2 + 2*m - 43. Let f(c) = -6*a(c) + 17*t(c). Suppose 5*j = -15 - 10. Calculate f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*m + 1567 + 487 = -2674 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56064 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/30 and -53\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - x. Let z be f(-1). Suppose 4*l - z*k + 25 = -l, 5*l = -2*k + 10. Let w(c) = c + 3. What are the prime factors of w(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, j: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1872*j = -1871*j - 196. What is the remainder when 419 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/15)*a)\/((a**(-5)\/a)\/a))**40 assuming a is positive.\nAnswer: a**(952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147939.263 + 1.247344.\nAnswer: -147938.015656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(j + 1 - 1) - 1 - j + 18*j + 0*j.\nAnswer: 21*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(43 + 39 + 56*h - 81).\nAnswer: 56*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91280000 rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 + 44 - (4 - 1)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6223 divided by 7\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-493)\/(-136))\/(0\/3 - 3\/(-6)). Is -1\/15 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22079 - 5521 - 5522 - 5520 - 5*i - 5516.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287420, 287421, 287422?\nAnswer: 287423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 14. Let i = -15 + 26. Let y be q(i). Put -2, -1, y in descending order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/5 + 22170*d**2 - 1040510016*d\/5 + 304206692256\/5.\nAnswer: -3*(d - 18324)**2*(d - 302)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 7959.\nAnswer: -1\/7959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**25\/d*d)\/(d**(-13\/6)*d)*d**(-26)\/d*d**18)**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7619 and 6416.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984302 is divided by 837?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7135 is divided by 1630.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:09 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*150\/20. Suppose -y*k + 18695 = -27500. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11471*p + 11378*p = 3441 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 - 3*j + 8. Let l(i) = 2*i**2 + 1. What is k(a) + 2*l(a)?\nAnswer: -2*a**2 - 3*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 44\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -564, 4, -13 in increasing order.\nAnswer: -564, -13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.005 and -15.967703.\nAnswer: -15.962703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbt. What is prob of picking 3 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*j + 14820 = -375*j + 166*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-2 + -2 - (-124 - -62))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 12414 times -52\nAnswer: -645528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600817*-0.3.\nAnswer: -180245.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pnpoooopnne?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**3 - 14*s**2 + 2*s + 9. Let c(j) = -5*j**3 - 13*j**2 + 3*j + 8. Let i(k) = -3*c(k) + 2*v(k). Is 9 a factor of i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 6*d**2 - 5*d - 3. Let u be p(-5). Let y = u - -7. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3351327 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160211350?\nAnswer: 2, 5, 13, 103, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.155541 and 0.\nAnswer: -0.155541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -38. Let v be (-6)\/15 - (-888)\/g. Round v to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96.8 - -96.73. Is -92 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2212930.1 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*s - 3*s - 21, 0 = -3*s - 3*l - 54. Let x = -12 - s. Find the second derivative of 3*p**3 - 10*p**3 + 10*p**x + 7*p wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + s**3 - 11.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 173*z**2 - 3*z. Let x be y(3). Suppose -4*g + 4*f = -g - 1161, 0 = -4*g - 3*f + x. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 1. Suppose 5 = h - 0*h. Let n(d) = -1. Let y = 155 + -156. Give h*n(m) + y*s(m).\nAnswer: -m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2 (c) -8 (d) -1.6 (e) -0.97 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 131 (b) 1\/9 (c) -56446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(2*sqrt(605) + sqrt(605)))\/(6*-3*sqrt(28)\/sqrt(4)).\nAnswer: -sqrt(2)\/594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 789*h**4 + 791*h**4 - 1595*h**4 - 29*h**2 + (3*h**3 - 3*h**3 - 2*h**4)*(-3 + 4 - 4).\nAnswer: -9*h**4 - 29*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f**3 - 19*f**2 - f - 10. Let g be x(18). Round g to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 547 + 99 = 0. Let m = -65 + n. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 25204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 3*m + 2676*m**2 - 29194*m**2.\nAnswer: -26518*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 21. Let x = -14 + r. Let t be (-7)\/(-12) - (-1)\/(-3). Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3215 + 529. Is -0.1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9101 divided by 39\nAnswer: 9101\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16525 and 12559.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-6))\/((-3)\/(-9)). What is the closest to 1 in 0.1, 4, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1546 + 1546 - 1222*k.\nAnswer: -1222*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*1\/7*11*(-1420)\/(-660)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 z when three letters picked without replacement from nyyzfnfzf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5572, -15047, -24522, -33997, -43472, -52947?\nAnswer: -62422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**4 + 272*d**3 - 5494*d**2 + 13048*d + 18816 = 0.\nAnswer: -1, 4, 21, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1949 and 115619730.\nAnswer: 115617781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 - 5*w + 2. Let j(z) = 2*z**3 + z**2 + 9*z - 4. Let i(o) = -6*j(o) - 11*r(o). List the prime factors of i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 36.94.\nAnswer: 36.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190167480 + -553.\nAnswer: 190166927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 20 = 0, -5044 = -5*v - 5*d + 4*d. Suppose 583 = 43*c - v. Let l(s) = s**2 + 3*s + 2. What is the remainder when c is divided by l(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = 9, -3*b + 5781 = -3*w. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.1, 33, 0.5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(0*q - q - 2*q) + (0 + q + 0)*(1 + 4 - 2)*(-1 - 3 + 1).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 21*j - 36. Let k(w) = -3*w + 6. Let l(a) = 6*k(a) + m(a). Let r(o) = -2*o - 351. What is l(r(p))?\nAnswer: -6*p - 1053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 7*y**2 - 9*y - 9. Let b(g) = -2*g**3 + 8*g**2 - 9*g - 8. Let f(s) = -6*b(s) + 5*d(s). List the prime factors of f(8).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 112\/9? (a) 15 (b) 0.5 (c) -5 (d) -3\/2 (e) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/24 + 8*z**3\/3 - 6*z**2. Let b be q(-12). Suppose 0 = p + b*p - 110. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(7) - (sqrt(175) + -2 + sqrt(175))**2.\nAnswer: -704 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:39 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*h + 91*h - 4840 = -119*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -53. Let c(j) = -4*j**2 - 3. Let l(m) = -m + 31. Let r be l(18). Let q(s) = -9*s**2 - 7. Give r*c(k) + w*q(k).\nAnswer: 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2517, 5037, 7557, 10077, 12597, 15117?\n\"Answer: 2520*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:00 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a millimeter in micrometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/8)\/(21\/4). Let c = -1\/121 + 249\/847. Sort 0.02, c, y in decreasing order.\nAnswer: c, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*d + 1\/6*d**2 + 1\/6*d**3 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187555 (base 10) in base 16?\nAnswer: 2dca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3470 and 30270?\nAnswer: 10503690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v + 53. Suppose a = 5*c - 2, -2*a = -0*a + 2*c + 28. Let l be f(a). Does 5 divide 2\/((-10)\/l) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 43635605?\nAnswer: 610898470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 653, 1460, 2587?\nAnswer: 4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588778 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -161, -324, -487, -650, -813, -976?\n\"Answer: -163*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86083755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15449948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -5, 2 in increasing order.\nAnswer: -5, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20958340.\nAnswer: 2, 5, 13, 149, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400780713.\nAnswer: 3, 133593571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660831 and 37648?\nAnswer: 137452848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -6266380\nAnswer: 3\/3133190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-637)\/(-4368)*144\/378.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}